1540196424.838 * [misc]progress: [Phase 1 of 3] Setting up. 1540196424.838 * * * [misc]progress: [1/2] Preparing points 1540196424.838 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1540196424.840 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1540196424.844 * * * * [misc]points: Setting MPFR precision to 64 1540196424.846 * * * * [misc]points: Setting MPFR precision to 320 1540196424.847 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1540196424.852 * * * * [misc]points: Setting MPFR precision to 64 1540196424.854 * * * * [misc]points: Setting MPFR precision to 320 1540196424.856 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1540196424.862 * * * * [misc]points: Setting MPFR precision to 64 1540196424.865 * * * * [misc]points: Setting MPFR precision to 320 1540196424.869 * * * * [misc]points: Setting MPFR precision to 576 1540196424.873 * * * * [misc]points: Setting MPFR precision to 832 1540196424.877 * * * * [misc]points: Setting MPFR precision to 1088 1540196424.882 * * * * [misc]points: Setting MPFR precision to 1344 1540196424.887 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1540196424.911 * * * * [misc]points: Setting MPFR precision to 1088 1540196424.915 * * * * [misc]points: Setting MPFR precision to 1344 1540196424.919 * * * * [misc]points: Computing exacts for 256 points 1540196424.927 * * * * [misc]points: Setting MPFR precision to 1088 1540196424.941 * * * * [misc]points: Setting MPFR precision to 1344 1540196424.963 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196424.963 * * * * [misc]points: Sampling 204 additional inputs, on iter 1 have 52 / 256 1540196424.965 * * * * [misc]points: Computing exacts on every 12 of 204 points to ramp up precision 1540196424.999 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.001 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.002 * * * * [misc]points: Computing exacts on every 6 of 204 points to ramp up precision 1540196425.020 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.023 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.025 * * * * [misc]points: Computing exacts on every 3 of 204 points to ramp up precision 1540196425.043 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.048 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.052 * * * * [misc]points: Computing exacts for 204 points 1540196425.078 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.095 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.112 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.112 * * * * [misc]points: Sampling 171 additional inputs, on iter 2 have 85 / 256 1540196425.114 * * * * [misc]points: Computing exacts on every 10 of 171 points to ramp up precision 1540196425.132 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.133 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.135 * * * * [misc]points: Computing exacts on every 5 of 171 points to ramp up precision 1540196425.161 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.163 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.164 * * * * [misc]points: Computing exacts on every 2 of 171 points to ramp up precision 1540196425.172 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.175 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.178 * * * * [misc]points: Computing exacts for 171 points 1540196425.196 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.210 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.225 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.225 * * * * [misc]points: Sampling 144 additional inputs, on iter 3 have 112 / 256 1540196425.226 * * * * [misc]points: Computing exacts on every 9 of 144 points to ramp up precision 1540196425.256 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.258 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.259 * * * * [misc]points: Computing exacts on every 4 of 144 points to ramp up precision 1540196425.277 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.279 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.281 * * * * [misc]points: Computing exacts on every 2 of 144 points to ramp up precision 1540196425.299 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.303 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.307 * * * * [misc]points: Computing exacts for 144 points 1540196425.327 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.333 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.338 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.338 * * * * [misc]points: Sampling 124 additional inputs, on iter 4 have 132 / 256 1540196425.339 * * * * [misc]points: Computing exacts on every 7 of 124 points to ramp up precision 1540196425.347 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.348 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.349 * * * * [misc]points: Computing exacts on every 3 of 124 points to ramp up precision 1540196425.372 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.375 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.378 * * * * [misc]points: Computing exacts for 124 points 1540196425.396 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.405 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.415 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.415 * * * * [misc]points: Sampling 96 additional inputs, on iter 5 have 160 / 256 1540196425.416 * * * * [misc]points: Computing exacts on every 6 of 96 points to ramp up precision 1540196425.433 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.435 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.436 * * * * [misc]points: Computing exacts on every 3 of 96 points to ramp up precision 1540196425.463 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.465 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.468 * * * * [misc]points: Computing exacts for 96 points 1540196425.487 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.495 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.505 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.505 * * * * [misc]points: Sampling 70 additional inputs, on iter 6 have 186 / 256 1540196425.505 * * * * [misc]points: Computing exacts on every 4 of 70 points to ramp up precision 1540196425.523 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.525 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.531 * * * * [misc]points: Computing exacts on every 2 of 70 points to ramp up precision 1540196425.539 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.541 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.542 * * * * [misc]points: Computing exacts for 70 points 1540196425.551 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.554 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.557 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.557 * * * * [misc]points: Sampling 54 additional inputs, on iter 7 have 202 / 256 1540196425.557 * * * * [misc]points: Computing exacts on every 3 of 54 points to ramp up precision 1540196425.569 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.569 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.570 * * * * [misc]points: Computing exacts for 54 points 1540196425.579 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.581 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.583 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.583 * * * * [misc]points: Sampling 46 additional inputs, on iter 8 have 210 / 256 1540196425.583 * * * * [misc]points: Computing exacts on every 2 of 46 points to ramp up precision 1540196425.596 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.597 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.598 * * * * [misc]points: Computing exacts for 46 points 1540196425.620 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.624 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.628 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.628 * * * * [misc]points: Sampling 37 additional inputs, on iter 9 have 219 / 256 1540196425.628 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision 1540196425.646 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.648 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.649 * * * * [misc]points: Computing exacts for 37 points 1540196425.666 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.669 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.673 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.673 * * * * [misc]points: Sampling 26 additional inputs, on iter 10 have 230 / 256 1540196425.673 * * * * [misc]points: Computing exacts for 26 points 1540196425.697 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.699 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.702 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.702 * * * * [misc]points: Sampling 18 additional inputs, on iter 11 have 238 / 256 1540196425.703 * * * * [misc]points: Computing exacts for 18 points 1540196425.720 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.722 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.723 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.723 * * * * [misc]points: Sampling 14 additional inputs, on iter 12 have 242 / 256 1540196425.723 * * * * [misc]points: Computing exacts for 14 points 1540196425.741 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.742 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.743 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.743 * * * * [misc]points: Sampling 14 additional inputs, on iter 13 have 242 / 256 1540196425.743 * * * * [misc]points: Computing exacts for 14 points 1540196425.767 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.768 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.770 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.770 * * * * [misc]points: Sampling 11 additional inputs, on iter 14 have 245 / 256 1540196425.770 * * * * [misc]points: Computing exacts for 11 points 1540196425.788 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.789 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.790 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.790 * * * * [misc]points: Sampling 8 additional inputs, on iter 15 have 248 / 256 1540196425.790 * * * * [misc]points: Computing exacts for 8 points 1540196425.808 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.809 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.810 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.810 * * * * [misc]points: Sampling 7 additional inputs, on iter 16 have 249 / 256 1540196425.810 * * * * [misc]points: Computing exacts for 7 points 1540196425.831 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.832 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.832 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.832 * * * * [misc]points: Sampling 5 additional inputs, on iter 17 have 251 / 256 1540196425.833 * * * * [misc]points: Computing exacts for 5 points 1540196425.850 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.851 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.851 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.851 * * * * [misc]points: Sampling 5 additional inputs, on iter 18 have 251 / 256 1540196425.851 * * * * [misc]points: Computing exacts for 5 points 1540196425.868 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.869 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.869 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.869 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 252 / 256 1540196425.869 * * * * [misc]points: Computing exacts for 4 points 1540196425.890 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.891 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.891 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.891 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 253 / 256 1540196425.891 * * * * [misc]points: Computing exacts for 4 points 1540196425.909 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.910 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.910 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.910 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 254 / 256 1540196425.910 * * * * [misc]points: Computing exacts for 4 points 1540196425.928 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.929 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.929 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.929 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 255 / 256 1540196425.929 * * * * [misc]points: Computing exacts for 4 points 1540196425.950 * * * * [misc]points: Setting MPFR precision to 1088 1540196425.951 * * * * [misc]points: Setting MPFR precision to 1344 1540196425.951 * * * * [misc]points: Filtering points with unrepresentable outputs 1540196425.951 * * * * [exit]points: Sampled 256 points with exact outputs 1540196425.951 * * * [misc]progress: [2/2] Setting up program. 1540196425.957 * [misc]progress: [Phase 2 of 3] Improving. 1540196425.957 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1540196425.957 * * [misc]simplify: iters left: 6 (13 enodes) 1540196425.959 * * [misc]simplify: iters left: 5 (28 enodes) 1540196425.963 * * [misc]simplify: iters left: 4 (44 enodes) 1540196425.969 * * [misc]simplify: iters left: 3 (54 enodes) 1540196425.975 * * [misc]simplify: iters left: 2 (57 enodes) 1540196425.980 * * [misc]simplify: iters left: 1 (65 enodes) 1540196425.987 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1540196425.994 * * [misc]progress: iteration 1 / 4 1540196425.994 * * * [misc]progress: picking best candidate 1540196425.999 * * * * [misc]pick: Picked # 1540196425.999 * * * [misc]progress: localizing error 1540196426.039 * * * [misc]progress: generating rewritten candidates 1540196426.039 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1540196426.043 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1540196426.046 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1540196426.052 * * * [misc]progress: generating series expansions 1540196426.052 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1540196426.053 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1540196426.053 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1540196426.053 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540196426.053 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540196426.053 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540196426.053 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196426.053 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.053 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196426.053 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.053 * [misc]taylor: Taking taylor expansion of k in k 1540196426.053 * [misc]backup-simplify: Simplify 0 into 0 1540196426.053 * [misc]backup-simplify: Simplify 1 into 1 1540196426.053 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540196426.053 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540196426.053 * [misc]taylor: Taking taylor expansion of 2 in k 1540196426.053 * [misc]backup-simplify: Simplify 2 into 2 1540196426.053 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540196426.053 * [misc]taylor: Taking taylor expansion of n in k 1540196426.053 * [misc]backup-simplify: Simplify n into n 1540196426.053 * [misc]taylor: Taking taylor expansion of PI in k 1540196426.053 * [misc]backup-simplify: Simplify PI into PI 1540196426.053 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540196426.053 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540196426.053 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540196426.053 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196426.054 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.054 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196426.054 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540196426.054 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540196426.054 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540196426.054 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540196426.054 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540196426.054 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196426.054 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.054 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196426.054 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.054 * [misc]taylor: Taking taylor expansion of k in n 1540196426.054 * [misc]backup-simplify: Simplify k into k 1540196426.054 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540196426.054 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540196426.054 * [misc]taylor: Taking taylor expansion of 2 in n 1540196426.054 * [misc]backup-simplify: Simplify 2 into 2 1540196426.054 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196426.054 * [misc]taylor: Taking taylor expansion of n in n 1540196426.054 * [misc]backup-simplify: Simplify 0 into 0 1540196426.054 * [misc]backup-simplify: Simplify 1 into 1 1540196426.054 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.054 * [misc]backup-simplify: Simplify PI into PI 1540196426.055 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196426.055 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196426.055 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196426.056 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540196426.056 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540196426.056 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196426.056 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196426.056 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196426.057 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540196426.057 * [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)))) 1540196426.057 * [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))))) 1540196426.057 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540196426.057 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540196426.057 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540196426.057 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196426.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.057 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196426.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.057 * [misc]taylor: Taking taylor expansion of k in n 1540196426.057 * [misc]backup-simplify: Simplify k into k 1540196426.058 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540196426.058 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540196426.058 * [misc]taylor: Taking taylor expansion of 2 in n 1540196426.058 * [misc]backup-simplify: Simplify 2 into 2 1540196426.058 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196426.058 * [misc]taylor: Taking taylor expansion of n in n 1540196426.058 * [misc]backup-simplify: Simplify 0 into 0 1540196426.058 * [misc]backup-simplify: Simplify 1 into 1 1540196426.058 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.058 * [misc]backup-simplify: Simplify PI into PI 1540196426.058 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196426.058 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196426.058 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196426.059 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540196426.059 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540196426.059 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196426.059 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196426.059 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196426.060 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540196426.060 * [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)))) 1540196426.060 * [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))))) 1540196426.060 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540196426.060 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540196426.060 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196426.060 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.061 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196426.061 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.061 * [misc]taylor: Taking taylor expansion of k in k 1540196426.061 * [misc]backup-simplify: Simplify 0 into 0 1540196426.061 * [misc]backup-simplify: Simplify 1 into 1 1540196426.061 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540196426.061 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196426.061 * [misc]taylor: Taking taylor expansion of n in k 1540196426.061 * [misc]backup-simplify: Simplify n into n 1540196426.061 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196426.061 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540196426.061 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540196426.061 * [misc]taylor: Taking taylor expansion of 2 in k 1540196426.061 * [misc]backup-simplify: Simplify 2 into 2 1540196426.061 * [misc]taylor: Taking taylor expansion of PI in k 1540196426.061 * [misc]backup-simplify: Simplify PI into PI 1540196426.061 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540196426.061 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540196426.061 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196426.061 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.062 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196426.062 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540196426.062 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540196426.063 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540196426.063 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540196426.064 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540196426.065 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540196426.066 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540196426.066 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540196426.067 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.067 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.067 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540196426.068 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540196426.069 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196426.069 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.069 * [misc]backup-simplify: Simplify 0 into 0 1540196426.069 * [misc]backup-simplify: Simplify 0 into 0 1540196426.069 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540196426.069 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540196426.071 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540196426.071 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.071 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196426.071 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196426.072 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196426.072 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540196426.073 * [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))))))) 1540196426.074 * [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))))))) 1540196426.075 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540196426.076 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540196426.079 * [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 1540196426.079 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540196426.080 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.080 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.080 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540196426.081 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540196426.083 * [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 1540196426.083 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.083 * [misc]backup-simplify: Simplify 0 into 0 1540196426.083 * [misc]backup-simplify: Simplify 0 into 0 1540196426.083 * [misc]backup-simplify: Simplify 0 into 0 1540196426.085 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540196426.086 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540196426.091 * [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 1540196426.091 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.091 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196426.091 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.091 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.092 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540196426.095 * [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))))) 1540196426.097 * [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))))) 1540196426.102 * [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))))) 1540196426.103 * [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)))) 1540196426.103 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540196426.103 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196426.103 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540196426.103 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540196426.103 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196426.103 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.103 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.103 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196426.103 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.103 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.103 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196426.103 * [misc]taylor: Taking taylor expansion of k in k 1540196426.103 * [misc]backup-simplify: Simplify 0 into 0 1540196426.103 * [misc]backup-simplify: Simplify 1 into 1 1540196426.103 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196426.103 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540196426.103 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540196426.103 * [misc]taylor: Taking taylor expansion of 2 in k 1540196426.103 * [misc]backup-simplify: Simplify 2 into 2 1540196426.103 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540196426.103 * [misc]taylor: Taking taylor expansion of PI in k 1540196426.103 * [misc]backup-simplify: Simplify PI into PI 1540196426.104 * [misc]taylor: Taking taylor expansion of n in k 1540196426.104 * [misc]backup-simplify: Simplify n into n 1540196426.104 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540196426.104 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540196426.104 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540196426.104 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196426.104 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196426.104 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196426.104 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540196426.105 * [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)))) 1540196426.105 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196426.105 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540196426.105 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540196426.105 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196426.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.105 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196426.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.105 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196426.105 * [misc]taylor: Taking taylor expansion of k in n 1540196426.105 * [misc]backup-simplify: Simplify k into k 1540196426.105 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196426.105 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540196426.105 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540196426.105 * [misc]taylor: Taking taylor expansion of 2 in n 1540196426.105 * [misc]backup-simplify: Simplify 2 into 2 1540196426.105 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540196426.105 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.105 * [misc]backup-simplify: Simplify PI into PI 1540196426.105 * [misc]taylor: Taking taylor expansion of n in n 1540196426.105 * [misc]backup-simplify: Simplify 0 into 0 1540196426.105 * [misc]backup-simplify: Simplify 1 into 1 1540196426.106 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196426.106 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540196426.107 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540196426.107 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196426.107 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196426.107 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196426.108 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540196426.108 * [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))) 1540196426.109 * [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)))) 1540196426.109 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196426.109 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540196426.109 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540196426.109 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196426.109 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.109 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196426.109 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.109 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196426.109 * [misc]taylor: Taking taylor expansion of k in n 1540196426.109 * [misc]backup-simplify: Simplify k into k 1540196426.109 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196426.109 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540196426.109 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540196426.109 * [misc]taylor: Taking taylor expansion of 2 in n 1540196426.109 * [misc]backup-simplify: Simplify 2 into 2 1540196426.109 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540196426.109 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.109 * [misc]backup-simplify: Simplify PI into PI 1540196426.109 * [misc]taylor: Taking taylor expansion of n in n 1540196426.110 * [misc]backup-simplify: Simplify 0 into 0 1540196426.110 * [misc]backup-simplify: Simplify 1 into 1 1540196426.110 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196426.110 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540196426.110 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540196426.111 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196426.111 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196426.111 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196426.111 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540196426.112 * [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))) 1540196426.113 * [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)))) 1540196426.113 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540196426.113 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540196426.113 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196426.113 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.113 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196426.113 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.113 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196426.113 * [misc]taylor: Taking taylor expansion of k in k 1540196426.113 * [misc]backup-simplify: Simplify 0 into 0 1540196426.113 * [misc]backup-simplify: Simplify 1 into 1 1540196426.113 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196426.113 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540196426.113 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540196426.113 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540196426.113 * [misc]taylor: Taking taylor expansion of 2 in k 1540196426.113 * [misc]backup-simplify: Simplify 2 into 2 1540196426.113 * [misc]taylor: Taking taylor expansion of PI in k 1540196426.113 * [misc]backup-simplify: Simplify PI into PI 1540196426.114 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540196426.114 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540196426.114 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196426.114 * [misc]taylor: Taking taylor expansion of n in k 1540196426.114 * [misc]backup-simplify: Simplify n into n 1540196426.114 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196426.115 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196426.115 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196426.115 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196426.115 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540196426.115 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540196426.116 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540196426.117 * [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)))) 1540196426.117 * [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)))) 1540196426.119 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540196426.119 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540196426.122 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540196426.122 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196426.122 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196426.122 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.123 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.123 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540196426.124 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540196426.126 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196426.126 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.126 * [misc]backup-simplify: Simplify 0 into 0 1540196426.126 * [misc]backup-simplify: Simplify 0 into 0 1540196426.126 * [misc]backup-simplify: Simplify 0 into 0 1540196426.127 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.128 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540196426.138 * [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 1540196426.138 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196426.138 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196426.139 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.139 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.139 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540196426.140 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540196426.143 * [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 1540196426.143 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.143 * [misc]backup-simplify: Simplify 0 into 0 1540196426.143 * [misc]backup-simplify: Simplify 0 into 0 1540196426.143 * [misc]backup-simplify: Simplify 0 into 0 1540196426.143 * [misc]backup-simplify: Simplify 0 into 0 1540196426.145 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.146 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540196426.154 * [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 1540196426.154 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196426.155 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540196426.155 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.155 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.155 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540196426.156 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540196426.158 * [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 1540196426.158 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.158 * [misc]backup-simplify: Simplify 0 into 0 1540196426.158 * [misc]backup-simplify: Simplify 0 into 0 1540196426.159 * [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))))) 1540196426.159 * [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)) 1540196426.159 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540196426.159 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196426.159 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540196426.159 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540196426.159 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196426.159 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196426.159 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.159 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196426.159 * [misc]taylor: Taking taylor expansion of k in k 1540196426.159 * [misc]backup-simplify: Simplify 0 into 0 1540196426.159 * [misc]backup-simplify: Simplify 1 into 1 1540196426.159 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196426.159 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.159 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.159 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540196426.159 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540196426.159 * [misc]taylor: Taking taylor expansion of -2 in k 1540196426.159 * [misc]backup-simplify: Simplify -2 into -2 1540196426.159 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540196426.159 * [misc]taylor: Taking taylor expansion of PI in k 1540196426.159 * [misc]backup-simplify: Simplify PI into PI 1540196426.159 * [misc]taylor: Taking taylor expansion of n in k 1540196426.159 * [misc]backup-simplify: Simplify n into n 1540196426.160 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540196426.160 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540196426.160 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540196426.160 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196426.160 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196426.160 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540196426.160 * [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))) 1540196426.160 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196426.160 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540196426.160 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540196426.160 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196426.160 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196426.160 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.160 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196426.160 * [misc]taylor: Taking taylor expansion of k in n 1540196426.160 * [misc]backup-simplify: Simplify k into k 1540196426.160 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196426.160 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.160 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540196426.160 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540196426.160 * [misc]taylor: Taking taylor expansion of -2 in n 1540196426.160 * [misc]backup-simplify: Simplify -2 into -2 1540196426.160 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540196426.160 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.160 * [misc]backup-simplify: Simplify PI into PI 1540196426.160 * [misc]taylor: Taking taylor expansion of n in n 1540196426.160 * [misc]backup-simplify: Simplify 0 into 0 1540196426.160 * [misc]backup-simplify: Simplify 1 into 1 1540196426.161 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196426.161 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540196426.161 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540196426.161 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196426.161 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196426.162 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540196426.162 * [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))) 1540196426.162 * [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)))) 1540196426.162 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196426.163 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540196426.163 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540196426.163 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196426.163 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196426.163 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.163 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196426.163 * [misc]taylor: Taking taylor expansion of k in n 1540196426.163 * [misc]backup-simplify: Simplify k into k 1540196426.163 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196426.163 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.163 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.163 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540196426.163 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540196426.163 * [misc]taylor: Taking taylor expansion of -2 in n 1540196426.163 * [misc]backup-simplify: Simplify -2 into -2 1540196426.163 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540196426.163 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.163 * [misc]backup-simplify: Simplify PI into PI 1540196426.163 * [misc]taylor: Taking taylor expansion of n in n 1540196426.163 * [misc]backup-simplify: Simplify 0 into 0 1540196426.163 * [misc]backup-simplify: Simplify 1 into 1 1540196426.163 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196426.163 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540196426.164 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540196426.164 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196426.164 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196426.164 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540196426.164 * [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))) 1540196426.165 * [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)))) 1540196426.165 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540196426.165 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540196426.165 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196426.165 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196426.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.165 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196426.165 * [misc]taylor: Taking taylor expansion of k in k 1540196426.165 * [misc]backup-simplify: Simplify 0 into 0 1540196426.165 * [misc]backup-simplify: Simplify 1 into 1 1540196426.165 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196426.165 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.165 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.165 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540196426.165 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540196426.165 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540196426.165 * [misc]taylor: Taking taylor expansion of -2 in k 1540196426.165 * [misc]backup-simplify: Simplify -2 into -2 1540196426.165 * [misc]taylor: Taking taylor expansion of PI in k 1540196426.165 * [misc]backup-simplify: Simplify PI into PI 1540196426.165 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540196426.166 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540196426.166 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196426.166 * [misc]taylor: Taking taylor expansion of n in k 1540196426.166 * [misc]backup-simplify: Simplify n into n 1540196426.166 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196426.166 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196426.166 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196426.166 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540196426.166 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540196426.167 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540196426.167 * [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)))) 1540196426.168 * [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)))) 1540196426.169 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540196426.169 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540196426.170 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540196426.171 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196426.171 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196426.171 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.171 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540196426.172 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540196426.173 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196426.173 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.173 * [misc]backup-simplify: Simplify 0 into 0 1540196426.173 * [misc]backup-simplify: Simplify 0 into 0 1540196426.173 * [misc]backup-simplify: Simplify 0 into 0 1540196426.174 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.174 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540196426.177 * [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 1540196426.177 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196426.177 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196426.178 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.178 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540196426.178 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540196426.180 * [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 1540196426.180 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.180 * [misc]backup-simplify: Simplify 0 into 0 1540196426.180 * [misc]backup-simplify: Simplify 0 into 0 1540196426.180 * [misc]backup-simplify: Simplify 0 into 0 1540196426.180 * [misc]backup-simplify: Simplify 0 into 0 1540196426.181 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.182 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540196426.186 * [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 1540196426.187 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196426.187 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540196426.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.187 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540196426.188 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1540196426.190 * [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 1540196426.190 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.190 * [misc]backup-simplify: Simplify 0 into 0 1540196426.190 * [misc]backup-simplify: Simplify 0 into 0 1540196426.191 * [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))))) 1540196426.191 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1540196426.191 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1540196426.191 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1540196426.191 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540196426.191 * [misc]taylor: Taking taylor expansion of 2 in n 1540196426.191 * [misc]backup-simplify: Simplify 2 into 2 1540196426.191 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196426.191 * [misc]taylor: Taking taylor expansion of n in n 1540196426.191 * [misc]backup-simplify: Simplify 0 into 0 1540196426.191 * [misc]backup-simplify: Simplify 1 into 1 1540196426.191 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.191 * [misc]backup-simplify: Simplify PI into PI 1540196426.191 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540196426.191 * [misc]taylor: Taking taylor expansion of 2 in n 1540196426.191 * [misc]backup-simplify: Simplify 2 into 2 1540196426.191 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196426.191 * [misc]taylor: Taking taylor expansion of n in n 1540196426.191 * [misc]backup-simplify: Simplify 0 into 0 1540196426.191 * [misc]backup-simplify: Simplify 1 into 1 1540196426.191 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.191 * [misc]backup-simplify: Simplify PI into PI 1540196426.192 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196426.192 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196426.192 * [misc]backup-simplify: Simplify 0 into 0 1540196426.192 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196426.192 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540196426.193 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540196426.193 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540196426.194 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540196426.194 * [misc]backup-simplify: Simplify 0 into 0 1540196426.195 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540196426.196 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540196426.196 * [misc]backup-simplify: Simplify 0 into 0 1540196426.198 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540196426.200 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540196426.200 * [misc]backup-simplify: Simplify 0 into 0 1540196426.203 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540196426.206 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1540196426.206 * [misc]backup-simplify: Simplify 0 into 0 1540196426.209 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540196426.213 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1540196426.213 * [misc]backup-simplify: Simplify 0 into 0 1540196426.217 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1540196426.222 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1540196426.222 * [misc]backup-simplify: Simplify 0 into 0 1540196426.222 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1540196426.222 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1540196426.222 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1540196426.222 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540196426.222 * [misc]taylor: Taking taylor expansion of 2 in n 1540196426.222 * [misc]backup-simplify: Simplify 2 into 2 1540196426.222 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540196426.223 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.223 * [misc]backup-simplify: Simplify PI into PI 1540196426.223 * [misc]taylor: Taking taylor expansion of n in n 1540196426.223 * [misc]backup-simplify: Simplify 0 into 0 1540196426.223 * [misc]backup-simplify: Simplify 1 into 1 1540196426.223 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196426.223 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540196426.223 * [misc]taylor: Taking taylor expansion of 2 in n 1540196426.223 * [misc]backup-simplify: Simplify 2 into 2 1540196426.223 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540196426.223 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.223 * [misc]backup-simplify: Simplify PI into PI 1540196426.223 * [misc]taylor: Taking taylor expansion of n in n 1540196426.223 * [misc]backup-simplify: Simplify 0 into 0 1540196426.223 * [misc]backup-simplify: Simplify 1 into 1 1540196426.223 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196426.224 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540196426.224 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540196426.225 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540196426.226 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540196426.226 * [misc]backup-simplify: Simplify 0 into 0 1540196426.227 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.228 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540196426.228 * [misc]backup-simplify: Simplify 0 into 0 1540196426.230 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.231 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540196426.231 * [misc]backup-simplify: Simplify 0 into 0 1540196426.233 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.235 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540196426.236 * [misc]backup-simplify: Simplify 0 into 0 1540196426.238 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.240 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540196426.240 * [misc]backup-simplify: Simplify 0 into 0 1540196426.243 * [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 1540196426.246 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540196426.247 * [misc]backup-simplify: Simplify 0 into 0 1540196426.247 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1540196426.247 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1540196426.247 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1540196426.247 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540196426.247 * [misc]taylor: Taking taylor expansion of -2 in n 1540196426.247 * [misc]backup-simplify: Simplify -2 into -2 1540196426.247 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540196426.247 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.247 * [misc]backup-simplify: Simplify PI into PI 1540196426.247 * [misc]taylor: Taking taylor expansion of n in n 1540196426.247 * [misc]backup-simplify: Simplify 0 into 0 1540196426.247 * [misc]backup-simplify: Simplify 1 into 1 1540196426.248 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196426.248 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540196426.248 * [misc]taylor: Taking taylor expansion of -2 in n 1540196426.248 * [misc]backup-simplify: Simplify -2 into -2 1540196426.248 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540196426.248 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.248 * [misc]backup-simplify: Simplify PI into PI 1540196426.248 * [misc]taylor: Taking taylor expansion of n in n 1540196426.248 * [misc]backup-simplify: Simplify 0 into 0 1540196426.248 * [misc]backup-simplify: Simplify 1 into 1 1540196426.248 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196426.248 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540196426.249 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540196426.250 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540196426.250 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540196426.250 * [misc]backup-simplify: Simplify 0 into 0 1540196426.252 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.253 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540196426.253 * [misc]backup-simplify: Simplify 0 into 0 1540196426.255 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.256 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540196426.256 * [misc]backup-simplify: Simplify 0 into 0 1540196426.258 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.260 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540196426.260 * [misc]backup-simplify: Simplify 0 into 0 1540196426.262 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.265 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1540196426.265 * [misc]backup-simplify: Simplify 0 into 0 1540196426.268 * [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 1540196426.273 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1540196426.273 * [misc]backup-simplify: Simplify 0 into 0 1540196426.274 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1540196426.274 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1540196426.274 * [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)))) 1540196426.274 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1540196426.274 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1540196426.274 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540196426.274 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196426.275 * [misc]taylor: Taking taylor expansion of k in k 1540196426.275 * [misc]backup-simplify: Simplify 0 into 0 1540196426.275 * [misc]backup-simplify: Simplify 1 into 1 1540196426.275 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196426.275 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196426.276 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196426.276 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1540196426.276 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1540196426.276 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1540196426.276 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196426.276 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.276 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196426.276 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.276 * [misc]taylor: Taking taylor expansion of k in k 1540196426.276 * [misc]backup-simplify: Simplify 0 into 0 1540196426.276 * [misc]backup-simplify: Simplify 1 into 1 1540196426.276 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1540196426.276 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1540196426.276 * [misc]taylor: Taking taylor expansion of 2 in k 1540196426.276 * [misc]backup-simplify: Simplify 2 into 2 1540196426.276 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1540196426.276 * [misc]taylor: Taking taylor expansion of n in k 1540196426.276 * [misc]backup-simplify: Simplify n into n 1540196426.276 * [misc]taylor: Taking taylor expansion of PI in k 1540196426.276 * [misc]backup-simplify: Simplify PI into PI 1540196426.276 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1540196426.277 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1540196426.277 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1540196426.277 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196426.277 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.277 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196426.277 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1540196426.277 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1540196426.277 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540196426.277 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540196426.277 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196426.277 * [misc]taylor: Taking taylor expansion of k in n 1540196426.278 * [misc]backup-simplify: Simplify k into k 1540196426.278 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196426.278 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540196426.278 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196426.278 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540196426.278 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540196426.278 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540196426.278 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540196426.278 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196426.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.278 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196426.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.278 * [misc]taylor: Taking taylor expansion of k in n 1540196426.278 * [misc]backup-simplify: Simplify k into k 1540196426.278 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540196426.278 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540196426.278 * [misc]taylor: Taking taylor expansion of 2 in n 1540196426.278 * [misc]backup-simplify: Simplify 2 into 2 1540196426.278 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196426.278 * [misc]taylor: Taking taylor expansion of n in n 1540196426.279 * [misc]backup-simplify: Simplify 0 into 0 1540196426.279 * [misc]backup-simplify: Simplify 1 into 1 1540196426.279 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.279 * [misc]backup-simplify: Simplify PI into PI 1540196426.279 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196426.279 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196426.280 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196426.280 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540196426.281 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540196426.281 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196426.281 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196426.281 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196426.282 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540196426.282 * [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)))) 1540196426.283 * [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))))) 1540196426.283 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1540196426.283 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540196426.283 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196426.283 * [misc]taylor: Taking taylor expansion of k in n 1540196426.283 * [misc]backup-simplify: Simplify k into k 1540196426.283 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196426.283 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540196426.284 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196426.284 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540196426.284 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1540196426.284 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1540196426.284 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1540196426.284 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196426.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.284 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196426.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.284 * [misc]taylor: Taking taylor expansion of k in n 1540196426.284 * [misc]backup-simplify: Simplify k into k 1540196426.284 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1540196426.284 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1540196426.284 * [misc]taylor: Taking taylor expansion of 2 in n 1540196426.284 * [misc]backup-simplify: Simplify 2 into 2 1540196426.284 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196426.284 * [misc]taylor: Taking taylor expansion of n in n 1540196426.284 * [misc]backup-simplify: Simplify 0 into 0 1540196426.284 * [misc]backup-simplify: Simplify 1 into 1 1540196426.284 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.284 * [misc]backup-simplify: Simplify PI into PI 1540196426.285 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196426.285 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196426.285 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196426.286 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1540196426.287 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540196426.287 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196426.287 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196426.287 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196426.288 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540196426.288 * [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)))) 1540196426.289 * [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))))) 1540196426.290 * [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))) 1540196426.290 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1540196426.290 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1540196426.290 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1540196426.290 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196426.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.290 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196426.290 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.290 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.290 * [misc]taylor: Taking taylor expansion of k in k 1540196426.290 * [misc]backup-simplify: Simplify 0 into 0 1540196426.290 * [misc]backup-simplify: Simplify 1 into 1 1540196426.290 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1540196426.290 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196426.290 * [misc]taylor: Taking taylor expansion of n in k 1540196426.290 * [misc]backup-simplify: Simplify n into n 1540196426.290 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196426.290 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540196426.290 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540196426.290 * [misc]taylor: Taking taylor expansion of 2 in k 1540196426.290 * [misc]backup-simplify: Simplify 2 into 2 1540196426.290 * [misc]taylor: Taking taylor expansion of PI in k 1540196426.290 * [misc]backup-simplify: Simplify PI into PI 1540196426.291 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540196426.291 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540196426.291 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196426.291 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.292 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196426.292 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540196426.293 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1540196426.293 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1540196426.293 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540196426.293 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196426.293 * [misc]taylor: Taking taylor expansion of k in k 1540196426.293 * [misc]backup-simplify: Simplify 0 into 0 1540196426.293 * [misc]backup-simplify: Simplify 1 into 1 1540196426.294 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196426.294 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196426.294 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196426.295 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1540196426.295 * [misc]backup-simplify: Simplify 0 into 0 1540196426.296 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540196426.297 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1540196426.300 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540196426.300 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540196426.300 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.300 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.301 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540196426.302 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1540196426.303 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196426.304 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1540196426.304 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.304 * [misc]backup-simplify: Simplify 0 into 0 1540196426.305 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540196426.305 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540196426.308 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540196426.308 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.309 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196426.309 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196426.309 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196426.310 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1540196426.311 * [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))))))) 1540196426.313 * [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))))))) 1540196426.314 * [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))))))) 1540196426.316 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1540196426.317 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1540196426.322 * [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 1540196426.323 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540196426.323 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.323 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.324 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540196426.324 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540196426.327 * [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 1540196426.328 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196426.329 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1540196426.329 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1540196426.329 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.330 * [misc]backup-simplify: Simplify 0 into 0 1540196426.330 * [misc]backup-simplify: Simplify 0 into 0 1540196426.330 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540196426.331 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196426.333 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540196426.334 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540196426.339 * [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 1540196426.339 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.339 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196426.339 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.340 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.340 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1540196426.343 * [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))))) 1540196426.348 * [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)))))))) 1540196426.350 * [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)))))))) 1540196426.352 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1540196426.354 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1540196426.362 * [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 1540196426.363 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540196426.363 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.363 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.364 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1540196426.365 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1540196426.369 * [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 1540196426.369 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196426.369 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1540196426.370 * [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 1540196426.370 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.370 * [misc]backup-simplify: Simplify 0 into 0 1540196426.371 * [misc]backup-simplify: Simplify 0 into 0 1540196426.371 * [misc]backup-simplify: Simplify 0 into 0 1540196426.371 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.372 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196426.375 * [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 1540196426.376 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540196426.385 * [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 1540196426.385 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.386 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540196426.386 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.386 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.387 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1540196426.391 * [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))))))) 1540196426.400 * [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)))))))))))))) 1540196426.407 * [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)))))))))))))) 1540196426.418 * [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)))))))))))))))))))))) 1540196426.419 * [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))))) 1540196426.419 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1540196426.419 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196426.419 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540196426.419 * [misc]taylor: Taking taylor expansion of k in k 1540196426.419 * [misc]backup-simplify: Simplify 0 into 0 1540196426.419 * [misc]backup-simplify: Simplify 1 into 1 1540196426.419 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196426.420 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196426.420 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196426.420 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1540196426.420 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1540196426.420 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196426.420 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196426.420 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196426.420 * [misc]taylor: Taking taylor expansion of k in k 1540196426.420 * [misc]backup-simplify: Simplify 0 into 0 1540196426.420 * [misc]backup-simplify: Simplify 1 into 1 1540196426.420 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196426.420 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1540196426.421 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1540196426.421 * [misc]taylor: Taking taylor expansion of 2 in k 1540196426.421 * [misc]backup-simplify: Simplify 2 into 2 1540196426.421 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540196426.421 * [misc]taylor: Taking taylor expansion of PI in k 1540196426.421 * [misc]backup-simplify: Simplify PI into PI 1540196426.421 * [misc]taylor: Taking taylor expansion of n in k 1540196426.421 * [misc]backup-simplify: Simplify n into n 1540196426.421 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540196426.421 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1540196426.421 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1540196426.421 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196426.421 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196426.421 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196426.422 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1540196426.422 * [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)))) 1540196426.422 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196426.422 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540196426.422 * [misc]taylor: Taking taylor expansion of k in n 1540196426.422 * [misc]backup-simplify: Simplify k into k 1540196426.422 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540196426.422 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540196426.422 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196426.422 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540196426.422 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540196426.422 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196426.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.422 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196426.422 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.422 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196426.422 * [misc]taylor: Taking taylor expansion of k in n 1540196426.422 * [misc]backup-simplify: Simplify k into k 1540196426.423 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196426.423 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540196426.423 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540196426.423 * [misc]taylor: Taking taylor expansion of 2 in n 1540196426.423 * [misc]backup-simplify: Simplify 2 into 2 1540196426.423 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540196426.423 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.423 * [misc]backup-simplify: Simplify PI into PI 1540196426.423 * [misc]taylor: Taking taylor expansion of n in n 1540196426.423 * [misc]backup-simplify: Simplify 0 into 0 1540196426.423 * [misc]backup-simplify: Simplify 1 into 1 1540196426.423 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196426.423 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540196426.424 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540196426.424 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196426.424 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196426.424 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196426.425 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540196426.425 * [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))) 1540196426.426 * [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)))) 1540196426.426 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196426.426 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540196426.426 * [misc]taylor: Taking taylor expansion of k in n 1540196426.426 * [misc]backup-simplify: Simplify k into k 1540196426.426 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540196426.426 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540196426.426 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196426.426 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1540196426.426 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1540196426.426 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196426.427 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.427 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196426.427 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.427 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196426.427 * [misc]taylor: Taking taylor expansion of k in n 1540196426.427 * [misc]backup-simplify: Simplify k into k 1540196426.427 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196426.427 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1540196426.427 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1540196426.427 * [misc]taylor: Taking taylor expansion of 2 in n 1540196426.427 * [misc]backup-simplify: Simplify 2 into 2 1540196426.427 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540196426.427 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.427 * [misc]backup-simplify: Simplify PI into PI 1540196426.427 * [misc]taylor: Taking taylor expansion of n in n 1540196426.427 * [misc]backup-simplify: Simplify 0 into 0 1540196426.427 * [misc]backup-simplify: Simplify 1 into 1 1540196426.427 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196426.428 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540196426.428 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540196426.428 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196426.428 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196426.428 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196426.429 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540196426.430 * [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))) 1540196426.430 * [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)))) 1540196426.431 * [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)) 1540196426.431 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1540196426.431 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1540196426.431 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1540196426.431 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196426.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.431 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196426.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.431 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196426.431 * [misc]taylor: Taking taylor expansion of k in k 1540196426.431 * [misc]backup-simplify: Simplify 0 into 0 1540196426.431 * [misc]backup-simplify: Simplify 1 into 1 1540196426.432 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196426.432 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1540196426.432 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1540196426.432 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1540196426.432 * [misc]taylor: Taking taylor expansion of 2 in k 1540196426.432 * [misc]backup-simplify: Simplify 2 into 2 1540196426.432 * [misc]taylor: Taking taylor expansion of PI in k 1540196426.432 * [misc]backup-simplify: Simplify PI into PI 1540196426.432 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1540196426.433 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1540196426.433 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196426.433 * [misc]taylor: Taking taylor expansion of n in k 1540196426.433 * [misc]backup-simplify: Simplify n into n 1540196426.433 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196426.433 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196426.433 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196426.433 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196426.433 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540196426.434 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1540196426.434 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1540196426.435 * [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)))) 1540196426.435 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540196426.435 * [misc]taylor: Taking taylor expansion of k in k 1540196426.435 * [misc]backup-simplify: Simplify 0 into 0 1540196426.435 * [misc]backup-simplify: Simplify 1 into 1 1540196426.435 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196426.436 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196426.436 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1540196426.437 * [misc]backup-simplify: Simplify 0 into 0 1540196426.438 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540196426.439 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1540196426.443 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1540196426.443 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196426.443 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196426.444 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.444 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.444 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540196426.445 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1540196426.447 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196426.447 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1540196426.447 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.447 * [misc]backup-simplify: Simplify 0 into 0 1540196426.447 * [misc]backup-simplify: Simplify 0 into 0 1540196426.448 * [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)))))) 1540196426.449 * [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)))))) 1540196426.449 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.450 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1540196426.453 * [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 1540196426.453 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196426.453 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196426.453 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.454 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.454 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540196426.454 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1540196426.456 * [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 1540196426.456 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1540196426.457 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1540196426.457 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.457 * [misc]backup-simplify: Simplify 0 into 0 1540196426.457 * [misc]backup-simplify: Simplify 0 into 0 1540196426.457 * [misc]backup-simplify: Simplify 0 into 0 1540196426.458 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196426.458 * [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)))))) 1540196426.459 * [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)))))) 1540196426.460 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.461 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540196426.465 * [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 1540196426.465 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196426.466 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540196426.466 * [misc]backup-simplify: Simplify (- 0) into 0 1540196426.466 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.466 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1540196426.467 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1540196426.469 * [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 1540196426.469 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1540196426.470 * [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 1540196426.470 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.470 * [misc]backup-simplify: Simplify 0 into 0 1540196426.470 * [misc]backup-simplify: Simplify 0 into 0 1540196426.470 * [misc]backup-simplify: Simplify 0 into 0 1540196426.470 * [misc]backup-simplify: Simplify 0 into 0 1540196426.471 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196426.471 * [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)))))) 1540196426.472 * [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)))))) 1540196426.473 * [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)))))))) 1540196426.473 * [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))) 1540196426.474 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1540196426.474 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1540196426.474 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196426.474 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1540196426.474 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1540196426.474 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196426.474 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196426.474 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.474 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196426.474 * [misc]taylor: Taking taylor expansion of k in k 1540196426.474 * [misc]backup-simplify: Simplify 0 into 0 1540196426.474 * [misc]backup-simplify: Simplify 1 into 1 1540196426.474 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196426.474 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.474 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.474 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1540196426.474 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1540196426.474 * [misc]taylor: Taking taylor expansion of -2 in k 1540196426.474 * [misc]backup-simplify: Simplify -2 into -2 1540196426.474 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1540196426.474 * [misc]taylor: Taking taylor expansion of PI in k 1540196426.474 * [misc]backup-simplify: Simplify PI into PI 1540196426.474 * [misc]taylor: Taking taylor expansion of n in k 1540196426.474 * [misc]backup-simplify: Simplify n into n 1540196426.474 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1540196426.474 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1540196426.474 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1540196426.474 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196426.474 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196426.475 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1540196426.475 * [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))) 1540196426.475 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196426.475 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196426.475 * [misc]taylor: Taking taylor expansion of -1 in k 1540196426.475 * [misc]backup-simplify: Simplify -1 into -1 1540196426.475 * [misc]taylor: Taking taylor expansion of k in k 1540196426.475 * [misc]backup-simplify: Simplify 0 into 0 1540196426.475 * [misc]backup-simplify: Simplify 1 into 1 1540196426.475 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196426.475 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196426.475 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196426.476 * [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)))) 1540196426.476 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540196426.476 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196426.476 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540196426.476 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540196426.476 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196426.476 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196426.476 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.476 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196426.476 * [misc]taylor: Taking taylor expansion of k in n 1540196426.476 * [misc]backup-simplify: Simplify k into k 1540196426.476 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196426.476 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.476 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.476 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540196426.476 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540196426.476 * [misc]taylor: Taking taylor expansion of -2 in n 1540196426.476 * [misc]backup-simplify: Simplify -2 into -2 1540196426.476 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540196426.476 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.476 * [misc]backup-simplify: Simplify PI into PI 1540196426.476 * [misc]taylor: Taking taylor expansion of n in n 1540196426.476 * [misc]backup-simplify: Simplify 0 into 0 1540196426.476 * [misc]backup-simplify: Simplify 1 into 1 1540196426.477 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196426.477 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540196426.477 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540196426.478 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196426.478 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196426.478 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540196426.479 * [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))) 1540196426.479 * [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)))) 1540196426.479 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540196426.479 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540196426.479 * [misc]taylor: Taking taylor expansion of -1 in n 1540196426.480 * [misc]backup-simplify: Simplify -1 into -1 1540196426.480 * [misc]taylor: Taking taylor expansion of k in n 1540196426.480 * [misc]backup-simplify: Simplify k into k 1540196426.480 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540196426.480 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540196426.480 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540196426.480 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540196426.481 * [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))) 1540196426.481 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1540196426.481 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196426.481 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1540196426.481 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1540196426.481 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196426.481 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196426.481 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.481 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196426.481 * [misc]taylor: Taking taylor expansion of k in n 1540196426.481 * [misc]backup-simplify: Simplify k into k 1540196426.481 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196426.481 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196426.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.481 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1540196426.481 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1540196426.481 * [misc]taylor: Taking taylor expansion of -2 in n 1540196426.481 * [misc]backup-simplify: Simplify -2 into -2 1540196426.481 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1540196426.481 * [misc]taylor: Taking taylor expansion of PI in n 1540196426.481 * [misc]backup-simplify: Simplify PI into PI 1540196426.481 * [misc]taylor: Taking taylor expansion of n in n 1540196426.481 * [misc]backup-simplify: Simplify 0 into 0 1540196426.481 * [misc]backup-simplify: Simplify 1 into 1 1540196426.482 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196426.482 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540196426.482 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540196426.483 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196426.483 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196426.483 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540196426.484 * [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))) 1540196426.485 * [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)))) 1540196426.485 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540196426.485 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540196426.485 * [misc]taylor: Taking taylor expansion of -1 in n 1540196426.485 * [misc]backup-simplify: Simplify -1 into -1 1540196426.485 * [misc]taylor: Taking taylor expansion of k in n 1540196426.485 * [misc]backup-simplify: Simplify k into k 1540196426.485 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540196426.485 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540196426.485 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540196426.485 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540196426.486 * [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))) 1540196426.486 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1540196426.486 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1540196426.486 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1540196426.486 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196426.486 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196426.486 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.486 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196426.486 * [misc]taylor: Taking taylor expansion of k in k 1540196426.486 * [misc]backup-simplify: Simplify 0 into 0 1540196426.486 * [misc]backup-simplify: Simplify 1 into 1 1540196426.487 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196426.487 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196426.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196426.487 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1540196426.487 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1540196426.487 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1540196426.487 * [misc]taylor: Taking taylor expansion of -2 in k 1540196426.487 * [misc]backup-simplify: Simplify -2 into -2 1540196426.487 * [misc]taylor: Taking taylor expansion of PI in k 1540196426.487 * [misc]backup-simplify: Simplify PI into PI 1540196426.487 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1540196426.488 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1540196426.488 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196426.488 * [misc]taylor: Taking taylor expansion of n in k 1540196426.488 * [misc]backup-simplify: Simplify n into n 1540196426.488 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196426.488 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196426.488 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196426.488 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540196426.489 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1540196426.489 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1540196426.490 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1540196426.490 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196426.490 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196426.490 * [misc]taylor: Taking taylor expansion of -1 in k 1540196426.490 * [misc]backup-simplify: Simplify -1 into -1 1540196426.490 * [misc]taylor: Taking taylor expansion of k in k 1540196426.490 * [misc]backup-simplify: Simplify 0 into 0 1540196426.490 * [misc]backup-simplify: Simplify 1 into 1 1540196426.490 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196426.490 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196426.491 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196426.492 * [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))))) 1540196426.493 * [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))))) 1540196426.494 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540196426.494 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1540196426.497 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1540196426.497 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196426.498 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196426.498 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.498 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540196426.499 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1540196426.501 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196426.502 * [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 1540196426.502 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.502 * [misc]backup-simplify: Simplify 0 into 0 1540196426.502 * [misc]backup-simplify: Simplify 0 into 0 1540196426.502 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196426.503 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196426.504 * [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)))))) 1540196426.505 * [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)))))) 1540196426.506 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.507 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1540196426.512 * [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 1540196426.512 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196426.513 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196426.513 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196426.514 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1540196426.514 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1540196426.517 * [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 1540196426.517 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196426.518 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1540196426.518 * [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 1540196426.519 * [misc]taylor: Taking taylor expansion of 0 in k 1540196426.519 * [misc]backup-simplify: Simplify 0 into 0 1540196426.519 * [misc]backup-simplify: Simplify 0 into 0 1540196426.519 * [misc]backup-simplify: Simplify 0 into 0 1540196426.519 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196426.520 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196426.522 * [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)))))) 1540196426.523 * [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)))))) 1540196426.525 * [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))))))))))) 1540196426.526 * * * [misc]progress: simplifying candidates 1540196426.526 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1540196426.526 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1540196426.526 * * [misc]simplify: iters left: 6 (11 enodes) 1540196426.530 * * [misc]simplify: iters left: 5 (21 enodes) 1540196426.537 * * [misc]simplify: iters left: 4 (47 enodes) 1540196426.553 * * [misc]simplify: iters left: 3 (109 enodes) 1540196426.589 * * [misc]simplify: iters left: 2 (300 enodes) 1540196426.826 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1540196426.826 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1540196426.826 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1540196426.826 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1540196426.826 * [enter]simplify: Simplifying (* PI (* n 2)) 1540196426.826 * * [misc]simplify: iters left: 4 (5 enodes) 1540196426.827 * * [misc]simplify: iters left: 3 (9 enodes) 1540196426.830 * * [misc]simplify: iters left: 2 (15 enodes) 1540196426.834 * * [misc]simplify: iters left: 1 (17 enodes) 1540196426.837 * [exit]simplify: Simplified to (* (* 2 n) PI) 1540196426.837 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1540196426.838 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1540196426.838 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1540196426.838 * * [misc]simplify: iters left: 5 (8 enodes) 1540196426.840 * * [misc]simplify: iters left: 4 (12 enodes) 1540196426.844 * * [misc]simplify: iters left: 3 (18 enodes) 1540196426.849 * * [misc]simplify: iters left: 2 (20 enodes) 1540196426.854 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1540196426.854 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1540196426.854 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1540196426.854 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540196426.854 * * [misc]simplify: iters left: 5 (6 enodes) 1540196426.856 * * [misc]simplify: iters left: 4 (8 enodes) 1540196426.858 * * [misc]simplify: iters left: 3 (11 enodes) 1540196426.861 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540196426.861 * [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))) 1540196426.861 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1540196426.861 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540196426.861 * * [misc]simplify: iters left: 5 (6 enodes) 1540196426.863 * * [misc]simplify: iters left: 4 (8 enodes) 1540196426.865 * * [misc]simplify: iters left: 3 (11 enodes) 1540196426.868 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540196426.868 * [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))) 1540196426.868 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1540196426.868 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540196426.868 * * [misc]simplify: iters left: 4 (5 enodes) 1540196426.870 * * [misc]simplify: iters left: 3 (7 enodes) 1540196426.872 * * [misc]simplify: iters left: 2 (10 enodes) 1540196426.874 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540196426.875 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1540196426.875 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1540196426.875 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540196426.875 * * [misc]simplify: iters left: 5 (9 enodes) 1540196426.878 * * [misc]simplify: iters left: 4 (15 enodes) 1540196426.882 * * [misc]simplify: iters left: 3 (21 enodes) 1540196426.887 * * [misc]simplify: iters left: 2 (22 enodes) 1540196426.896 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540196426.896 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1540196426.896 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1540196426.896 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1540196426.896 * * [misc]simplify: iters left: 5 (9 enodes) 1540196426.899 * * [misc]simplify: iters left: 4 (15 enodes) 1540196426.903 * * [misc]simplify: iters left: 3 (21 enodes) 1540196426.909 * * [misc]simplify: iters left: 2 (22 enodes) 1540196426.914 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1540196426.914 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1540196426.914 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1540196426.914 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540196426.914 * * [misc]simplify: iters left: 5 (7 enodes) 1540196426.916 * * [misc]simplify: iters left: 4 (9 enodes) 1540196426.918 * * [misc]simplify: iters left: 3 (12 enodes) 1540196426.921 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540196426.921 * [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))) 1540196426.921 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1540196426.921 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1540196426.921 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1540196426.921 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1540196426.921 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1540196426.921 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1540196426.921 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1540196426.921 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1540196426.921 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1540196426.921 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1540196426.921 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1540196426.922 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1540196426.922 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1540196426.922 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1540196426.922 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1540196426.922 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1540196426.922 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1540196426.922 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1540196426.922 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540196426.923 * * [misc]simplify: iters left: 6 (14 enodes) 1540196426.926 * * [misc]simplify: iters left: 5 (26 enodes) 1540196426.934 * * [misc]simplify: iters left: 4 (53 enodes) 1540196426.951 * * [misc]simplify: iters left: 3 (137 enodes) 1540196427.013 * * [misc]simplify: iters left: 2 (487 enodes) 1540196427.506 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1540196427.506 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1540196427.506 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1540196427.506 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540196427.506 * * [misc]simplify: iters left: 6 (14 enodes) 1540196427.508 * * [misc]simplify: iters left: 5 (26 enodes) 1540196427.513 * * [misc]simplify: iters left: 4 (53 enodes) 1540196427.523 * * [misc]simplify: iters left: 3 (137 enodes) 1540196427.612 * * [misc]simplify: iters left: 2 (487 enodes) 1540196428.181 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1540196428.181 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1540196428.182 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1540196428.182 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1540196428.182 * * [misc]simplify: iters left: 6 (14 enodes) 1540196428.186 * * [misc]simplify: iters left: 5 (24 enodes) 1540196428.193 * * [misc]simplify: iters left: 4 (42 enodes) 1540196428.198 * * [misc]simplify: iters left: 3 (71 enodes) 1540196428.218 * * [misc]simplify: iters left: 2 (208 enodes) 1540196428.417 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1540196428.418 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1540196428.418 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1540196428.418 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1540196428.418 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1540196428.418 * [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))) 1540196428.418 * * [misc]simplify: iters left: 6 (16 enodes) 1540196428.421 * * [misc]simplify: iters left: 5 (31 enodes) 1540196428.426 * * [misc]simplify: iters left: 4 (67 enodes) 1540196428.447 * * [misc]simplify: iters left: 3 (124 enodes) 1540196428.474 * * [misc]simplify: iters left: 2 (195 enodes) 1540196428.523 * * [misc]simplify: iters left: 1 (309 enodes) 1540196428.660 * [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)))) 1540196428.660 * [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)))))) 1540196428.661 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1540196428.661 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1540196428.661 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1540196428.661 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1540196428.661 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1540196428.661 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196428.661 * * [misc]simplify: iters left: 6 (12 enodes) 1540196428.665 * * [misc]simplify: iters left: 5 (19 enodes) 1540196428.670 * * [misc]simplify: iters left: 4 (25 enodes) 1540196428.674 * * [misc]simplify: iters left: 3 (26 enodes) 1540196428.677 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196428.677 * [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))))) 1540196428.677 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1540196428.677 * * [misc]simplify: iters left: 6 (12 enodes) 1540196428.679 * * [misc]simplify: iters left: 5 (18 enodes) 1540196428.682 * * [misc]simplify: iters left: 4 (24 enodes) 1540196428.685 * * [misc]simplify: iters left: 3 (25 enodes) 1540196428.688 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1540196428.688 * [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))))) 1540196428.688 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1540196428.688 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1540196428.688 * * [misc]simplify: iters left: 6 (11 enodes) 1540196428.690 * * [misc]simplify: iters left: 5 (16 enodes) 1540196428.692 * * [misc]simplify: iters left: 4 (22 enodes) 1540196428.695 * * [misc]simplify: iters left: 3 (24 enodes) 1540196428.697 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540196428.697 * [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))))) 1540196428.698 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1540196428.698 * * [misc]simplify: iters left: 6 (12 enodes) 1540196428.699 * * [misc]simplify: iters left: 5 (18 enodes) 1540196428.703 * * [misc]simplify: iters left: 4 (24 enodes) 1540196428.709 * * [misc]simplify: iters left: 3 (25 enodes) 1540196428.716 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1540196428.716 * [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))))) 1540196428.716 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1540196428.716 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1540196428.716 * * [misc]simplify: iters left: 6 (9 enodes) 1540196428.719 * * [misc]simplify: iters left: 5 (16 enodes) 1540196428.724 * * [misc]simplify: iters left: 4 (24 enodes) 1540196428.728 * * [misc]simplify: iters left: 3 (26 enodes) 1540196428.731 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1540196428.731 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1540196428.731 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1540196428.731 * * [misc]simplify: iters left: 6 (11 enodes) 1540196428.733 * * [misc]simplify: iters left: 5 (17 enodes) 1540196428.735 * * [misc]simplify: iters left: 4 (23 enodes) 1540196428.738 * * [misc]simplify: iters left: 3 (24 enodes) 1540196428.741 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1540196428.741 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1540196428.741 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1540196428.742 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196428.742 * * [misc]simplify: iters left: 6 (12 enodes) 1540196428.744 * * [misc]simplify: iters left: 5 (19 enodes) 1540196428.746 * * [misc]simplify: iters left: 4 (25 enodes) 1540196428.749 * * [misc]simplify: iters left: 3 (26 enodes) 1540196428.752 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196428.752 * [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))))) 1540196428.753 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1540196428.753 * * [misc]simplify: iters left: 6 (12 enodes) 1540196428.754 * * [misc]simplify: iters left: 5 (18 enodes) 1540196428.759 * * [misc]simplify: iters left: 4 (24 enodes) 1540196428.765 * * [misc]simplify: iters left: 3 (25 enodes) 1540196428.771 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1540196428.771 * [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))))) 1540196428.771 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1540196428.772 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1540196428.772 * * [misc]simplify: iters left: 6 (11 enodes) 1540196428.775 * * [misc]simplify: iters left: 5 (16 enodes) 1540196428.779 * * [misc]simplify: iters left: 4 (22 enodes) 1540196428.782 * * [misc]simplify: iters left: 3 (24 enodes) 1540196428.785 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1540196428.785 * [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))))) 1540196428.785 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1540196428.785 * * [misc]simplify: iters left: 6 (12 enodes) 1540196428.787 * * [misc]simplify: iters left: 5 (18 enodes) 1540196428.790 * * [misc]simplify: iters left: 4 (24 enodes) 1540196428.793 * * [misc]simplify: iters left: 3 (25 enodes) 1540196428.796 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1540196428.796 * [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))))) 1540196428.796 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1540196428.796 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1540196428.796 * * [misc]simplify: iters left: 6 (9 enodes) 1540196428.797 * * [misc]simplify: iters left: 5 (16 enodes) 1540196428.801 * * [misc]simplify: iters left: 4 (24 enodes) 1540196428.804 * * [misc]simplify: iters left: 3 (26 enodes) 1540196428.806 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1540196428.806 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1540196428.806 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1540196428.806 * * [misc]simplify: iters left: 6 (11 enodes) 1540196428.809 * * [misc]simplify: iters left: 5 (17 enodes) 1540196428.814 * * [misc]simplify: iters left: 4 (23 enodes) 1540196428.820 * * [misc]simplify: iters left: 3 (24 enodes) 1540196428.826 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1540196428.826 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1540196428.826 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1540196428.826 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196428.826 * * [misc]simplify: iters left: 6 (11 enodes) 1540196428.830 * * [misc]simplify: iters left: 5 (15 enodes) 1540196428.834 * * [misc]simplify: iters left: 4 (18 enodes) 1540196428.839 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196428.839 * [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))))) 1540196428.839 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540196428.839 * * [misc]simplify: iters left: 6 (11 enodes) 1540196428.842 * * [misc]simplify: iters left: 5 (14 enodes) 1540196428.846 * * [misc]simplify: iters left: 4 (17 enodes) 1540196428.850 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540196428.850 * [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))))) 1540196428.850 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1540196428.851 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540196428.851 * * [misc]simplify: iters left: 6 (10 enodes) 1540196428.854 * * [misc]simplify: iters left: 5 (12 enodes) 1540196428.856 * * [misc]simplify: iters left: 4 (15 enodes) 1540196428.858 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540196428.858 * [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))))) 1540196428.858 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540196428.858 * * [misc]simplify: iters left: 6 (11 enodes) 1540196428.860 * * [misc]simplify: iters left: 5 (14 enodes) 1540196428.861 * * [misc]simplify: iters left: 4 (17 enodes) 1540196428.864 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540196428.864 * [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))))) 1540196428.864 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1540196428.864 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1540196428.864 * * [misc]simplify: iters left: 6 (9 enodes) 1540196428.865 * * [misc]simplify: iters left: 5 (13 enodes) 1540196428.867 * * [misc]simplify: iters left: 4 (18 enodes) 1540196428.869 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540196428.869 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1540196428.869 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1540196428.869 * * [misc]simplify: iters left: 6 (10 enodes) 1540196428.871 * * [misc]simplify: iters left: 5 (13 enodes) 1540196428.872 * * [misc]simplify: iters left: 4 (16 enodes) 1540196428.875 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1540196428.875 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1540196428.875 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1540196428.875 * [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)))) 1540196428.875 * * [misc]simplify: iters left: 6 (16 enodes) 1540196428.878 * * [misc]simplify: iters left: 5 (28 enodes) 1540196428.882 * * [misc]simplify: iters left: 4 (46 enodes) 1540196428.890 * * [misc]simplify: iters left: 3 (50 enodes) 1540196428.902 * * [misc]simplify: iters left: 2 (53 enodes) 1540196428.917 * [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)))) 1540196428.917 * [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))))) 1540196428.917 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540196428.917 * * [misc]simplify: iters left: 6 (14 enodes) 1540196428.921 * * [misc]simplify: iters left: 5 (20 enodes) 1540196428.927 * * [misc]simplify: iters left: 4 (29 enodes) 1540196428.931 * * [misc]simplify: iters left: 3 (30 enodes) 1540196428.934 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540196428.934 * [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))))) 1540196428.934 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1540196428.935 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540196428.935 * * [misc]simplify: iters left: 6 (15 enodes) 1540196428.937 * * [misc]simplify: iters left: 5 (23 enodes) 1540196428.940 * * [misc]simplify: iters left: 4 (34 enodes) 1540196428.944 * * [misc]simplify: iters left: 3 (37 enodes) 1540196428.948 * [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)))))) 1540196428.949 * [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))))) 1540196428.949 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196428.949 * * [misc]simplify: iters left: 6 (14 enodes) 1540196428.951 * * [misc]simplify: iters left: 5 (20 enodes) 1540196428.953 * * [misc]simplify: iters left: 4 (29 enodes) 1540196428.959 * * [misc]simplify: iters left: 3 (30 enodes) 1540196428.966 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196428.966 * [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))))) 1540196428.966 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1540196428.966 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1540196428.966 * * [misc]simplify: iters left: 6 (14 enodes) 1540196428.970 * * [misc]simplify: iters left: 5 (24 enodes) 1540196428.978 * * [misc]simplify: iters left: 4 (39 enodes) 1540196428.987 * * [misc]simplify: iters left: 3 (54 enodes) 1540196428.994 * * [misc]simplify: iters left: 2 (80 enodes) 1540196429.004 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1540196429.004 * [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)))) 1540196429.004 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1540196429.004 * * [misc]simplify: iters left: 6 (13 enodes) 1540196429.007 * * [misc]simplify: iters left: 5 (19 enodes) 1540196429.010 * * [misc]simplify: iters left: 4 (28 enodes) 1540196429.013 * * [misc]simplify: iters left: 3 (30 enodes) 1540196429.018 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1540196429.018 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)))) 1540196429.018 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1540196429.019 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196429.019 * * [misc]simplify: iters left: 6 (15 enodes) 1540196429.023 * * [misc]simplify: iters left: 5 (23 enodes) 1540196429.030 * * [misc]simplify: iters left: 4 (32 enodes) 1540196429.038 * * [misc]simplify: iters left: 3 (34 enodes) 1540196429.047 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196429.047 * [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))))) 1540196429.047 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540196429.047 * * [misc]simplify: iters left: 6 (14 enodes) 1540196429.051 * * [misc]simplify: iters left: 5 (20 enodes) 1540196429.057 * * [misc]simplify: iters left: 4 (29 enodes) 1540196429.065 * * [misc]simplify: iters left: 3 (30 enodes) 1540196429.072 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1540196429.072 * [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))))) 1540196429.072 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1540196429.072 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196429.073 * * [misc]simplify: iters left: 6 (14 enodes) 1540196429.077 * * [misc]simplify: iters left: 5 (20 enodes) 1540196429.083 * * [misc]simplify: iters left: 4 (29 enodes) 1540196429.090 * * [misc]simplify: iters left: 3 (30 enodes) 1540196429.094 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196429.094 * [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))))) 1540196429.094 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196429.094 * * [misc]simplify: iters left: 6 (14 enodes) 1540196429.096 * * [misc]simplify: iters left: 5 (20 enodes) 1540196429.099 * * [misc]simplify: iters left: 4 (29 enodes) 1540196429.103 * * [misc]simplify: iters left: 3 (30 enodes) 1540196429.106 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196429.106 * [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))))) 1540196429.106 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1540196429.106 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1540196429.106 * * [misc]simplify: iters left: 6 (13 enodes) 1540196429.108 * * [misc]simplify: iters left: 5 (21 enodes) 1540196429.111 * * [misc]simplify: iters left: 4 (32 enodes) 1540196429.115 * * [misc]simplify: iters left: 3 (33 enodes) 1540196429.119 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1540196429.119 * [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)))) 1540196429.120 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1540196429.120 * * [misc]simplify: iters left: 6 (13 enodes) 1540196429.124 * * [misc]simplify: iters left: 5 (19 enodes) 1540196429.129 * * [misc]simplify: iters left: 4 (28 enodes) 1540196429.137 * * [misc]simplify: iters left: 3 (30 enodes) 1540196429.144 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1540196429.144 * [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)))) 1540196429.144 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1540196429.144 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196429.144 * * [misc]simplify: iters left: 6 (6 enodes) 1540196429.145 * * [misc]simplify: iters left: 5 (10 enodes) 1540196429.146 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1540196429.146 * [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))))) 1540196429.146 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540196429.146 * * [misc]simplify: iters left: 6 (13 enodes) 1540196429.148 * * [misc]simplify: iters left: 5 (19 enodes) 1540196429.151 * * [misc]simplify: iters left: 4 (28 enodes) 1540196429.154 * * [misc]simplify: iters left: 3 (30 enodes) 1540196429.158 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1540196429.158 * [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))))) 1540196429.158 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1540196429.158 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1540196429.158 * * [misc]simplify: iters left: 4 (5 enodes) 1540196429.159 * * [misc]simplify: iters left: 3 (7 enodes) 1540196429.159 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540196429.160 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1540196429.160 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540196429.160 * * [misc]simplify: iters left: 6 (13 enodes) 1540196429.162 * * [misc]simplify: iters left: 5 (19 enodes) 1540196429.164 * * [misc]simplify: iters left: 4 (28 enodes) 1540196429.168 * * [misc]simplify: iters left: 3 (30 enodes) 1540196429.171 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540196429.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1540196429.171 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1540196429.171 * [enter]simplify: Simplifying (/ 1 1) 1540196429.172 * * [misc]simplify: iters left: 2 (2 enodes) 1540196429.172 * * [misc]simplify: iters left: 1 (4 enodes) 1540196429.173 * [exit]simplify: Simplified to 1 1540196429.173 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1540196429.173 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1540196429.173 * * [misc]simplify: iters left: 6 (12 enodes) 1540196429.177 * * [misc]simplify: iters left: 5 (18 enodes) 1540196429.182 * * [misc]simplify: iters left: 4 (27 enodes) 1540196429.189 * * [misc]simplify: iters left: 3 (29 enodes) 1540196429.196 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1540196429.196 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1540196429.196 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1540196429.196 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1540196429.196 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1540196429.196 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1540196429.196 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1540196429.196 * * [misc]simplify: iters left: 2 (3 enodes) 1540196429.197 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1540196429.197 * [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)))) 1540196429.197 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1540196429.198 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540196429.198 * * [misc]simplify: iters left: 2 (3 enodes) 1540196429.198 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540196429.198 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1540196429.199 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1540196429.199 * [enter]simplify: Simplifying (sqrt k) 1540196429.199 * * [misc]simplify: iters left: 1 (2 enodes) 1540196429.199 * [exit]simplify: Simplified to (sqrt k) 1540196429.199 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1540196429.199 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1540196429.200 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540196429.200 * * [misc]simplify: iters left: 5 (7 enodes) 1540196429.202 * * [misc]simplify: iters left: 4 (12 enodes) 1540196429.205 * * [misc]simplify: iters left: 3 (18 enodes) 1540196429.210 * * [misc]simplify: iters left: 2 (20 enodes) 1540196429.214 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540196429.214 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540196429.214 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1540196429.215 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540196429.215 * * [misc]simplify: iters left: 5 (7 enodes) 1540196429.217 * * [misc]simplify: iters left: 4 (12 enodes) 1540196429.220 * * [misc]simplify: iters left: 3 (18 enodes) 1540196429.225 * * [misc]simplify: iters left: 2 (20 enodes) 1540196429.229 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540196429.229 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1540196429.230 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1540196429.230 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1540196429.230 * * [misc]simplify: iters left: 5 (7 enodes) 1540196429.232 * * [misc]simplify: iters left: 4 (9 enodes) 1540196429.235 * * [misc]simplify: iters left: 3 (12 enodes) 1540196429.239 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1540196429.239 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196429.239 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1540196429.239 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1540196429.239 * * [misc]simplify: iters left: 6 (12 enodes) 1540196429.243 * * [misc]simplify: iters left: 5 (18 enodes) 1540196429.248 * * [misc]simplify: iters left: 4 (27 enodes) 1540196429.255 * * [misc]simplify: iters left: 3 (29 enodes) 1540196429.262 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1540196429.262 * [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))))))) 1540196429.262 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1540196429.262 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1540196429.263 * * [misc]simplify: iters left: 6 (11 enodes) 1540196429.266 * * [misc]simplify: iters left: 5 (17 enodes) 1540196429.271 * * [misc]simplify: iters left: 4 (26 enodes) 1540196429.277 * * [misc]simplify: iters left: 3 (27 enodes) 1540196429.284 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1540196429.284 * [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))))))) 1540196429.284 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1540196429.284 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1540196429.284 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1540196429.285 * * [misc]simplify: iters left: 5 (7 enodes) 1540196429.287 * * [misc]simplify: iters left: 4 (12 enodes) 1540196429.290 * * [misc]simplify: iters left: 3 (18 enodes) 1540196429.293 * * [misc]simplify: iters left: 2 (20 enodes) 1540196429.295 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1540196429.295 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1540196429.295 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1540196429.296 * [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))))) 1540196429.296 * * [misc]simplify: iters left: 6 (37 enodes) 1540196429.303 * * [misc]simplify: iters left: 5 (105 enodes) 1540196429.328 * * [misc]simplify: iters left: 4 (339 enodes) 1540196429.501 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1540196429.501 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k))) 1540196429.502 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1540196429.502 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1540196429.502 * * [misc]simplify: iters left: 6 (15 enodes) 1540196429.505 * * [misc]simplify: iters left: 5 (33 enodes) 1540196429.510 * * [misc]simplify: iters left: 4 (64 enodes) 1540196429.531 * * [misc]simplify: iters left: 3 (171 enodes) 1540196429.629 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1540196429.629 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k))) 1540196429.629 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1540196429.629 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1540196429.630 * * [misc]simplify: iters left: 6 (15 enodes) 1540196429.635 * * [misc]simplify: iters left: 5 (30 enodes) 1540196429.646 * * [misc]simplify: iters left: 4 (65 enodes) 1540196429.671 * * [misc]simplify: iters left: 3 (200 enodes) 1540196429.827 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1540196429.827 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1540196429.827 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1540196429.828 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540196429.828 * * [misc]simplify: iters left: 4 (5 enodes) 1540196429.829 * * [misc]simplify: iters left: 3 (9 enodes) 1540196429.832 * * [misc]simplify: iters left: 2 (15 enodes) 1540196429.836 * * [misc]simplify: iters left: 1 (17 enodes) 1540196429.840 * [exit]simplify: Simplified to (* (* PI n) 2) 1540196429.840 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540196429.840 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1540196429.840 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540196429.840 * * [misc]simplify: iters left: 4 (5 enodes) 1540196429.842 * * [misc]simplify: iters left: 3 (9 enodes) 1540196429.844 * * [misc]simplify: iters left: 2 (15 enodes) 1540196429.848 * * [misc]simplify: iters left: 1 (17 enodes) 1540196429.853 * [exit]simplify: Simplified to (* (* PI n) 2) 1540196429.853 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540196429.853 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1540196429.853 * [enter]simplify: Simplifying (* 2 (* n PI)) 1540196429.853 * * [misc]simplify: iters left: 4 (5 enodes) 1540196429.855 * * [misc]simplify: iters left: 3 (9 enodes) 1540196429.857 * * [misc]simplify: iters left: 2 (15 enodes) 1540196429.861 * * [misc]simplify: iters left: 1 (17 enodes) 1540196429.865 * [exit]simplify: Simplified to (* (* PI n) 2) 1540196429.865 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1540196429.865 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1540196429.866 * [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)))))))))))))))))))))) 1540196429.866 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540196429.866 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1540196429.866 * [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)))))))) 1540196429.866 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540196429.866 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1540196429.867 * [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))))))))))) 1540196429.867 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540196429.867 * * * [misc]progress: adding candidates to table 1540196430.654 * * [misc]progress: iteration 2 / 4 1540196430.654 * * * [misc]progress: picking best candidate 1540196430.705 * * * * [misc]pick: Picked # 1540196430.705 * * * [misc]progress: localizing error 1540196430.744 * * * [misc]progress: generating rewritten candidates 1540196430.744 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1540196430.746 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1540196430.751 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1540196430.766 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) 1540196430.768 * * * [misc]progress: generating series expansions 1540196430.769 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1540196430.769 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1540196430.769 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1540196430.769 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540196430.769 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540196430.769 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540196430.769 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196430.769 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.769 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196430.769 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.769 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.769 * [misc]taylor: Taking taylor expansion of k in k 1540196430.769 * [misc]backup-simplify: Simplify 0 into 0 1540196430.769 * [misc]backup-simplify: Simplify 1 into 1 1540196430.769 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196430.769 * [misc]taylor: Taking taylor expansion of PI in k 1540196430.769 * [misc]backup-simplify: Simplify PI into PI 1540196430.771 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196430.771 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196430.771 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.771 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196430.771 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196430.772 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540196430.772 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540196430.772 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540196430.772 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540196430.772 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196430.772 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.772 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196430.772 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.772 * [misc]taylor: Taking taylor expansion of k in k 1540196430.772 * [misc]backup-simplify: Simplify 0 into 0 1540196430.772 * [misc]backup-simplify: Simplify 1 into 1 1540196430.772 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196430.772 * [misc]taylor: Taking taylor expansion of PI in k 1540196430.772 * [misc]backup-simplify: Simplify PI into PI 1540196430.772 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196430.772 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196430.773 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.773 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196430.773 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196430.773 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540196430.774 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1540196430.775 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196430.775 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196430.775 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196430.775 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196430.776 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540196430.778 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540196430.778 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1540196430.781 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540196430.781 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196430.781 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.781 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196430.782 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540196430.784 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540196430.785 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540196430.787 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1540196430.787 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196430.787 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1540196430.787 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196430.787 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540196430.787 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540196430.787 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196430.787 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.787 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196430.787 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.787 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196430.787 * [misc]taylor: Taking taylor expansion of k in k 1540196430.787 * [misc]backup-simplify: Simplify 0 into 0 1540196430.787 * [misc]backup-simplify: Simplify 1 into 1 1540196430.788 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.788 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196430.788 * [misc]taylor: Taking taylor expansion of PI in k 1540196430.788 * [misc]backup-simplify: Simplify PI into PI 1540196430.788 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196430.788 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196430.788 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196430.788 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196430.788 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540196430.789 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196430.789 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196430.789 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540196430.789 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540196430.789 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196430.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.789 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196430.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.789 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196430.789 * [misc]taylor: Taking taylor expansion of k in k 1540196430.789 * [misc]backup-simplify: Simplify 0 into 0 1540196430.789 * [misc]backup-simplify: Simplify 1 into 1 1540196430.789 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.789 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196430.789 * [misc]taylor: Taking taylor expansion of PI in k 1540196430.789 * [misc]backup-simplify: Simplify PI into PI 1540196430.789 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196430.789 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196430.789 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196430.789 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196430.790 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540196430.790 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196430.790 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196430.790 * [misc]backup-simplify: Simplify 0 into 0 1540196430.790 * [misc]backup-simplify: Simplify 0 into 0 1540196430.790 * [misc]backup-simplify: Simplify 0 into 0 1540196430.790 * [misc]backup-simplify: Simplify 0 into 0 1540196430.790 * [misc]backup-simplify: Simplify 0 into 0 1540196430.790 * [misc]backup-simplify: Simplify 0 into 0 1540196430.790 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1540196430.790 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196430.791 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1540196430.791 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196430.791 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540196430.791 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540196430.791 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196430.791 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196430.791 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.791 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196430.791 * [misc]taylor: Taking taylor expansion of k in k 1540196430.791 * [misc]backup-simplify: Simplify 0 into 0 1540196430.791 * [misc]backup-simplify: Simplify 1 into 1 1540196430.791 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.791 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.791 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196430.791 * [misc]taylor: Taking taylor expansion of PI in k 1540196430.791 * [misc]backup-simplify: Simplify PI into PI 1540196430.791 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196430.791 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196430.791 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196430.792 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196430.792 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196430.792 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196430.792 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540196430.792 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540196430.792 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196430.792 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196430.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.792 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196430.792 * [misc]taylor: Taking taylor expansion of k in k 1540196430.792 * [misc]backup-simplify: Simplify 0 into 0 1540196430.792 * [misc]backup-simplify: Simplify 1 into 1 1540196430.792 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.792 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196430.792 * [misc]taylor: Taking taylor expansion of PI in k 1540196430.792 * [misc]backup-simplify: Simplify PI into PI 1540196430.792 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196430.792 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196430.793 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196430.793 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196430.793 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196430.793 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196430.793 * [misc]backup-simplify: Simplify 0 into 0 1540196430.793 * [misc]backup-simplify: Simplify 0 into 0 1540196430.793 * [misc]backup-simplify: Simplify 0 into 0 1540196430.793 * [misc]backup-simplify: Simplify 0 into 0 1540196430.793 * [misc]backup-simplify: Simplify 0 into 0 1540196430.793 * [misc]backup-simplify: Simplify 0 into 0 1540196430.793 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1540196430.793 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1540196430.794 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1540196430.794 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1540196430.794 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1540196430.794 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1540196430.794 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540196430.794 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540196430.794 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540196430.794 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196430.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.794 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196430.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.794 * [misc]taylor: Taking taylor expansion of k in n 1540196430.794 * [misc]backup-simplify: Simplify k into k 1540196430.794 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540196430.794 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540196430.794 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.794 * [misc]backup-simplify: Simplify 2 into 2 1540196430.794 * [misc]taylor: Taking taylor expansion of n in n 1540196430.794 * [misc]backup-simplify: Simplify 0 into 0 1540196430.794 * [misc]backup-simplify: Simplify 1 into 1 1540196430.794 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196430.794 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540196430.794 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196430.794 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196430.794 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196430.795 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196430.795 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196430.795 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540196430.795 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1540196430.795 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1540196430.795 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540196430.795 * [misc]taylor: Taking taylor expansion of k in n 1540196430.795 * [misc]backup-simplify: Simplify k into k 1540196430.795 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540196430.795 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540196430.795 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540196430.796 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1540196430.796 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540196430.796 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540196430.796 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540196430.796 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196430.796 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.796 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196430.796 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.796 * [misc]taylor: Taking taylor expansion of k in k 1540196430.796 * [misc]backup-simplify: Simplify 0 into 0 1540196430.796 * [misc]backup-simplify: Simplify 1 into 1 1540196430.796 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540196430.796 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540196430.796 * [misc]taylor: Taking taylor expansion of 2 in k 1540196430.796 * [misc]backup-simplify: Simplify 2 into 2 1540196430.796 * [misc]taylor: Taking taylor expansion of n in k 1540196430.796 * [misc]backup-simplify: Simplify n into n 1540196430.796 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540196430.796 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540196430.796 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196430.796 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.796 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196430.796 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540196430.796 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540196430.796 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1540196430.796 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540196430.796 * [misc]taylor: Taking taylor expansion of k in k 1540196430.796 * [misc]backup-simplify: Simplify 0 into 0 1540196430.796 * [misc]backup-simplify: Simplify 1 into 1 1540196430.797 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.797 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196430.797 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540196430.797 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1540196430.797 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540196430.797 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540196430.797 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540196430.797 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196430.797 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.797 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196430.797 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.797 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.797 * [misc]taylor: Taking taylor expansion of k in k 1540196430.797 * [misc]backup-simplify: Simplify 0 into 0 1540196430.797 * [misc]backup-simplify: Simplify 1 into 1 1540196430.797 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540196430.797 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540196430.797 * [misc]taylor: Taking taylor expansion of 2 in k 1540196430.797 * [misc]backup-simplify: Simplify 2 into 2 1540196430.797 * [misc]taylor: Taking taylor expansion of n in k 1540196430.797 * [misc]backup-simplify: Simplify n into n 1540196430.797 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540196430.797 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540196430.798 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196430.798 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.798 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196430.798 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540196430.798 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540196430.798 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1540196430.798 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540196430.798 * [misc]taylor: Taking taylor expansion of k in k 1540196430.798 * [misc]backup-simplify: Simplify 0 into 0 1540196430.798 * [misc]backup-simplify: Simplify 1 into 1 1540196430.798 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.798 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196430.799 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1540196430.799 * [misc]taylor: Taking taylor expansion of 0 in n 1540196430.799 * [misc]backup-simplify: Simplify 0 into 0 1540196430.799 * [misc]backup-simplify: Simplify 0 into 0 1540196430.799 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1540196430.799 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1540196430.799 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196430.800 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196430.800 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196430.800 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1540196430.800 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1540196430.800 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1540196430.801 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1540196430.801 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1540196430.801 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1540196430.801 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.801 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.801 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1540196430.801 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540196430.801 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196430.801 * [misc]taylor: Taking taylor expansion of n in n 1540196430.801 * [misc]backup-simplify: Simplify 0 into 0 1540196430.801 * [misc]backup-simplify: Simplify 1 into 1 1540196430.801 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.801 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.802 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196430.802 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540196430.802 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.802 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.802 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540196430.802 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540196430.802 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540196430.803 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540196430.803 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1540196430.804 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540196430.804 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540196430.804 * [misc]backup-simplify: Simplify 0 into 0 1540196430.805 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196430.805 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1540196430.806 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1540196430.806 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196430.806 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.806 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196430.806 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1540196430.807 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1540196430.808 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1540196430.811 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1540196430.811 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1540196430.811 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1540196430.811 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1540196430.811 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.811 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.811 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1540196430.811 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1540196430.811 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196430.811 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.811 * [misc]backup-simplify: Simplify 2 into 2 1540196430.811 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196430.811 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196430.811 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1540196430.811 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540196430.811 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540196430.811 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.811 * [misc]backup-simplify: Simplify 2 into 2 1540196430.811 * [misc]taylor: Taking taylor expansion of n in n 1540196430.811 * [misc]backup-simplify: Simplify 0 into 0 1540196430.811 * [misc]backup-simplify: Simplify 1 into 1 1540196430.811 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196430.812 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540196430.812 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196430.812 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1540196430.812 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540196430.812 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.812 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540196430.812 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540196430.812 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540196430.812 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196430.812 * [misc]taylor: Taking taylor expansion of n in n 1540196430.812 * [misc]backup-simplify: Simplify 0 into 0 1540196430.812 * [misc]backup-simplify: Simplify 1 into 1 1540196430.812 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.812 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.813 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196430.813 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1540196430.813 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1540196430.813 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.813 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.813 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1540196430.813 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1540196430.813 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196430.813 * [misc]taylor: Taking taylor expansion of n in n 1540196430.813 * [misc]backup-simplify: Simplify 0 into 0 1540196430.813 * [misc]backup-simplify: Simplify 1 into 1 1540196430.813 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.813 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.813 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196430.813 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1540196430.813 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.813 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.813 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1540196430.813 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1540196430.814 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196430.814 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1540196430.814 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1540196430.815 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1540196430.815 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196430.815 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1540196430.816 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540196430.817 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196430.817 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1540196430.818 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1540196430.819 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1540196430.819 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1540196430.821 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1540196430.822 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540196430.822 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1540196430.822 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1540196430.823 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540196430.825 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1540196430.827 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1540196430.829 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1540196430.830 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1540196430.830 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540196430.831 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196430.831 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540196430.832 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1540196430.832 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1540196430.833 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540196430.837 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1540196430.837 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1540196430.837 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1540196430.837 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1540196430.837 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196430.837 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196430.837 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540196430.837 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540196430.837 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196430.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.837 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196430.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.838 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196430.838 * [misc]taylor: Taking taylor expansion of k in n 1540196430.838 * [misc]backup-simplify: Simplify k into k 1540196430.838 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196430.838 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540196430.838 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540196430.838 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.838 * [misc]backup-simplify: Simplify 2 into 2 1540196430.838 * [misc]taylor: Taking taylor expansion of n in n 1540196430.838 * [misc]backup-simplify: Simplify 0 into 0 1540196430.838 * [misc]backup-simplify: Simplify 1 into 1 1540196430.838 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540196430.838 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196430.838 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196430.838 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196430.839 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196430.839 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196430.839 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540196430.840 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540196430.840 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540196430.840 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540196430.840 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196430.840 * [misc]taylor: Taking taylor expansion of k in n 1540196430.840 * [misc]backup-simplify: Simplify k into k 1540196430.840 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196430.840 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540196430.840 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196430.840 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540196430.841 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540196430.841 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196430.841 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196430.841 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540196430.841 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540196430.841 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196430.841 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.841 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196430.841 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.841 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.841 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196430.841 * [misc]taylor: Taking taylor expansion of k in k 1540196430.841 * [misc]backup-simplify: Simplify 0 into 0 1540196430.841 * [misc]backup-simplify: Simplify 1 into 1 1540196430.841 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.841 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540196430.841 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540196430.841 * [misc]taylor: Taking taylor expansion of 2 in k 1540196430.841 * [misc]backup-simplify: Simplify 2 into 2 1540196430.841 * [misc]taylor: Taking taylor expansion of n in k 1540196430.841 * [misc]backup-simplify: Simplify n into n 1540196430.841 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540196430.842 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540196430.842 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196430.842 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196430.842 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196430.842 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540196430.842 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540196430.843 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540196430.843 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540196430.843 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196430.843 * [misc]taylor: Taking taylor expansion of k in k 1540196430.843 * [misc]backup-simplify: Simplify 0 into 0 1540196430.843 * [misc]backup-simplify: Simplify 1 into 1 1540196430.843 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.843 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.844 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196430.844 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540196430.844 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196430.844 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196430.844 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540196430.844 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540196430.844 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196430.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.844 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196430.844 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.844 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196430.844 * [misc]taylor: Taking taylor expansion of k in k 1540196430.844 * [misc]backup-simplify: Simplify 0 into 0 1540196430.844 * [misc]backup-simplify: Simplify 1 into 1 1540196430.844 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.845 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540196430.845 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540196430.845 * [misc]taylor: Taking taylor expansion of 2 in k 1540196430.845 * [misc]backup-simplify: Simplify 2 into 2 1540196430.845 * [misc]taylor: Taking taylor expansion of n in k 1540196430.845 * [misc]backup-simplify: Simplify n into n 1540196430.845 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540196430.845 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540196430.845 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196430.845 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196430.845 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196430.845 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540196430.846 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540196430.846 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540196430.846 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540196430.846 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196430.846 * [misc]taylor: Taking taylor expansion of k in k 1540196430.846 * [misc]backup-simplify: Simplify 0 into 0 1540196430.846 * [misc]backup-simplify: Simplify 1 into 1 1540196430.846 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.846 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.847 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196430.847 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1540196430.847 * [misc]taylor: Taking taylor expansion of 0 in n 1540196430.847 * [misc]backup-simplify: Simplify 0 into 0 1540196430.847 * [misc]backup-simplify: Simplify 0 into 0 1540196430.848 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540196430.848 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540196430.848 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540196430.848 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540196430.848 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.848 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.848 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196430.848 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196430.848 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540196430.848 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540196430.848 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196430.848 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.848 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196430.848 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.848 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196430.848 * [misc]taylor: Taking taylor expansion of k in n 1540196430.849 * [misc]backup-simplify: Simplify k into k 1540196430.849 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196430.849 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540196430.849 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540196430.849 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.849 * [misc]backup-simplify: Simplify 2 into 2 1540196430.849 * [misc]taylor: Taking taylor expansion of n in n 1540196430.849 * [misc]backup-simplify: Simplify 0 into 0 1540196430.849 * [misc]backup-simplify: Simplify 1 into 1 1540196430.849 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540196430.849 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196430.849 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196430.849 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196430.849 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196430.850 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196430.850 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540196430.850 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540196430.851 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540196430.851 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540196430.852 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540196430.852 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540196430.852 * [misc]backup-simplify: Simplify 0 into 0 1540196430.852 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540196430.854 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196430.854 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540196430.854 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540196430.855 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540196430.855 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540196430.855 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.855 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.855 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196430.855 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196430.855 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540196430.855 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540196430.855 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196430.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.855 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196430.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.855 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196430.855 * [misc]taylor: Taking taylor expansion of k in n 1540196430.855 * [misc]backup-simplify: Simplify k into k 1540196430.855 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196430.855 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540196430.855 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540196430.855 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.855 * [misc]backup-simplify: Simplify 2 into 2 1540196430.855 * [misc]taylor: Taking taylor expansion of n in n 1540196430.855 * [misc]backup-simplify: Simplify 0 into 0 1540196430.855 * [misc]backup-simplify: Simplify 1 into 1 1540196430.856 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540196430.856 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196430.856 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196430.856 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196430.856 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196430.856 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196430.857 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540196430.857 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540196430.857 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540196430.858 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540196430.858 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540196430.859 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540196430.859 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540196430.861 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196430.862 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196430.862 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196430.862 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.862 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196430.862 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196430.863 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540196430.864 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196430.865 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1540196430.866 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1540196430.866 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.866 * [misc]backup-simplify: Simplify 0 into 0 1540196430.866 * [misc]backup-simplify: Simplify 0 into 0 1540196430.866 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196430.868 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196430.868 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540196430.869 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540196430.869 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540196430.869 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540196430.869 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.869 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.869 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196430.869 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196430.869 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540196430.869 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540196430.869 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196430.869 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.869 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196430.869 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.869 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196430.869 * [misc]taylor: Taking taylor expansion of k in n 1540196430.869 * [misc]backup-simplify: Simplify k into k 1540196430.870 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196430.870 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540196430.870 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540196430.870 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.870 * [misc]backup-simplify: Simplify 2 into 2 1540196430.870 * [misc]taylor: Taking taylor expansion of n in n 1540196430.870 * [misc]backup-simplify: Simplify 0 into 0 1540196430.870 * [misc]backup-simplify: Simplify 1 into 1 1540196430.870 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540196430.870 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196430.870 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196430.870 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196430.870 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196430.871 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196430.871 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540196430.871 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540196430.872 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540196430.872 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540196430.873 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540196430.873 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540196430.875 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1540196430.875 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196430.875 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1540196430.875 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196430.875 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540196430.875 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540196430.875 * [misc]taylor: Taking taylor expansion of -1 in n 1540196430.875 * [misc]backup-simplify: Simplify -1 into -1 1540196430.875 * [misc]taylor: Taking taylor expansion of k in n 1540196430.875 * [misc]backup-simplify: Simplify k into k 1540196430.875 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540196430.875 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540196430.875 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540196430.876 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540196430.876 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196430.876 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540196430.876 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540196430.876 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196430.876 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196430.876 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.876 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196430.876 * [misc]taylor: Taking taylor expansion of k in n 1540196430.876 * [misc]backup-simplify: Simplify k into k 1540196430.876 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196430.876 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.876 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.876 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540196430.876 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540196430.876 * [misc]taylor: Taking taylor expansion of -2 in n 1540196430.876 * [misc]backup-simplify: Simplify -2 into -2 1540196430.876 * [misc]taylor: Taking taylor expansion of n in n 1540196430.876 * [misc]backup-simplify: Simplify 0 into 0 1540196430.876 * [misc]backup-simplify: Simplify 1 into 1 1540196430.876 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540196430.876 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540196430.876 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196430.876 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196430.876 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196430.877 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540196430.877 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540196430.877 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540196430.877 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196430.877 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196430.877 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196430.877 * [misc]taylor: Taking taylor expansion of -1 in k 1540196430.877 * [misc]backup-simplify: Simplify -1 into -1 1540196430.877 * [misc]taylor: Taking taylor expansion of k in k 1540196430.877 * [misc]backup-simplify: Simplify 0 into 0 1540196430.877 * [misc]backup-simplify: Simplify 1 into 1 1540196430.877 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196430.877 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.878 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196430.878 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196430.878 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540196430.878 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540196430.878 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196430.879 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196430.879 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.879 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.879 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196430.879 * [misc]taylor: Taking taylor expansion of k in k 1540196430.879 * [misc]backup-simplify: Simplify 0 into 0 1540196430.879 * [misc]backup-simplify: Simplify 1 into 1 1540196430.880 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.880 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.880 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.880 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540196430.880 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540196430.880 * [misc]taylor: Taking taylor expansion of -2 in k 1540196430.880 * [misc]backup-simplify: Simplify -2 into -2 1540196430.880 * [misc]taylor: Taking taylor expansion of n in k 1540196430.880 * [misc]backup-simplify: Simplify n into n 1540196430.880 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540196430.880 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540196430.880 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196430.880 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196430.880 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540196430.880 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196430.880 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196430.880 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196430.880 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196430.880 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196430.880 * [misc]taylor: Taking taylor expansion of -1 in k 1540196430.881 * [misc]backup-simplify: Simplify -1 into -1 1540196430.881 * [misc]taylor: Taking taylor expansion of k in k 1540196430.881 * [misc]backup-simplify: Simplify 0 into 0 1540196430.881 * [misc]backup-simplify: Simplify 1 into 1 1540196430.881 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196430.881 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.881 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196430.881 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196430.881 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540196430.881 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540196430.881 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196430.881 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196430.881 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.881 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196430.881 * [misc]taylor: Taking taylor expansion of k in k 1540196430.881 * [misc]backup-simplify: Simplify 0 into 0 1540196430.881 * [misc]backup-simplify: Simplify 1 into 1 1540196430.881 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.881 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.881 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540196430.881 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540196430.881 * [misc]taylor: Taking taylor expansion of -2 in k 1540196430.881 * [misc]backup-simplify: Simplify -2 into -2 1540196430.881 * [misc]taylor: Taking taylor expansion of n in k 1540196430.881 * [misc]backup-simplify: Simplify n into n 1540196430.882 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540196430.882 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540196430.882 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196430.882 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196430.882 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540196430.882 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196430.882 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196430.882 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196430.882 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.882 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.882 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196430.882 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540196430.882 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540196430.882 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196430.882 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196430.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.882 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196430.882 * [misc]taylor: Taking taylor expansion of k in n 1540196430.882 * [misc]backup-simplify: Simplify k into k 1540196430.882 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196430.882 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.882 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540196430.882 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540196430.882 * [misc]taylor: Taking taylor expansion of -2 in n 1540196430.882 * [misc]backup-simplify: Simplify -2 into -2 1540196430.883 * [misc]taylor: Taking taylor expansion of n in n 1540196430.883 * [misc]backup-simplify: Simplify 0 into 0 1540196430.883 * [misc]backup-simplify: Simplify 1 into 1 1540196430.883 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540196430.883 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540196430.883 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196430.883 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196430.883 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196430.883 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540196430.884 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540196430.884 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540196430.884 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540196430.884 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196430.885 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196430.885 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196430.885 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540196430.885 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196430.885 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.885 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.885 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196430.885 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196430.885 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540196430.885 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540196430.885 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196430.885 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196430.886 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.886 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196430.886 * [misc]taylor: Taking taylor expansion of k in n 1540196430.886 * [misc]backup-simplify: Simplify k into k 1540196430.886 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196430.886 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.886 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.886 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540196430.886 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540196430.886 * [misc]taylor: Taking taylor expansion of -2 in n 1540196430.886 * [misc]backup-simplify: Simplify -2 into -2 1540196430.886 * [misc]taylor: Taking taylor expansion of n in n 1540196430.886 * [misc]backup-simplify: Simplify 0 into 0 1540196430.886 * [misc]backup-simplify: Simplify 1 into 1 1540196430.886 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540196430.886 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540196430.886 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196430.886 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196430.886 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196430.887 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540196430.887 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540196430.887 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540196430.887 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540196430.887 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540196430.888 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540196430.888 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540196430.889 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540196430.889 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196430.889 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196430.890 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196430.890 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196430.890 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540196430.891 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196430.891 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1540196430.891 * [misc]backup-simplify: Simplify 0 into 0 1540196430.892 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196430.892 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196430.893 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196430.893 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540196430.893 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196430.893 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.893 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.893 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196430.893 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196430.893 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540196430.893 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540196430.893 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196430.893 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196430.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.893 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196430.893 * [misc]taylor: Taking taylor expansion of k in n 1540196430.893 * [misc]backup-simplify: Simplify k into k 1540196430.893 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196430.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.893 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540196430.893 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540196430.893 * [misc]taylor: Taking taylor expansion of -2 in n 1540196430.893 * [misc]backup-simplify: Simplify -2 into -2 1540196430.893 * [misc]taylor: Taking taylor expansion of n in n 1540196430.893 * [misc]backup-simplify: Simplify 0 into 0 1540196430.893 * [misc]backup-simplify: Simplify 1 into 1 1540196430.893 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540196430.893 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540196430.894 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196430.894 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196430.894 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196430.894 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540196430.894 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540196430.894 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540196430.895 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1540196430.895 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540196430.895 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1540196430.896 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1540196430.896 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1540196430.896 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1540196430.896 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1540196430.896 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1540196430.897 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1540196430.897 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540196430.897 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540196430.897 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540196430.897 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196430.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.897 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196430.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.897 * [misc]taylor: Taking taylor expansion of k in n 1540196430.897 * [misc]backup-simplify: Simplify k into k 1540196430.897 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540196430.897 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540196430.897 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.897 * [misc]backup-simplify: Simplify 2 into 2 1540196430.897 * [misc]taylor: Taking taylor expansion of n in n 1540196430.897 * [misc]backup-simplify: Simplify 0 into 0 1540196430.897 * [misc]backup-simplify: Simplify 1 into 1 1540196430.897 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196430.897 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540196430.897 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196430.897 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196430.897 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196430.897 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196430.898 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196430.898 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540196430.898 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1540196430.898 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1540196430.898 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1540196430.898 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1540196430.898 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196430.898 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.898 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.898 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196430.898 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196430.898 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.898 * [misc]taylor: Taking taylor expansion of k in n 1540196430.898 * [misc]backup-simplify: Simplify k into k 1540196430.898 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196430.898 * [misc]taylor: Taking taylor expansion of PI in n 1540196430.898 * [misc]backup-simplify: Simplify PI into PI 1540196430.898 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196430.898 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196430.899 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196430.899 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196430.899 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1540196430.899 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1540196430.899 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540196430.899 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196430.899 * [misc]taylor: Taking taylor expansion of k in n 1540196430.899 * [misc]backup-simplify: Simplify k into k 1540196430.899 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196430.899 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540196430.899 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196430.899 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540196430.899 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1540196430.899 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540196430.899 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540196430.899 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540196430.899 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540196430.899 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196430.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.899 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.899 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196430.899 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.900 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.900 * [misc]taylor: Taking taylor expansion of k in k 1540196430.900 * [misc]backup-simplify: Simplify 0 into 0 1540196430.900 * [misc]backup-simplify: Simplify 1 into 1 1540196430.900 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540196430.900 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540196430.900 * [misc]taylor: Taking taylor expansion of 2 in k 1540196430.900 * [misc]backup-simplify: Simplify 2 into 2 1540196430.900 * [misc]taylor: Taking taylor expansion of n in k 1540196430.900 * [misc]backup-simplify: Simplify n into n 1540196430.900 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540196430.900 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540196430.900 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196430.900 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.900 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196430.900 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540196430.900 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540196430.900 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540196430.900 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540196430.900 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540196430.900 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196430.900 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.900 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.900 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196430.900 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.900 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.900 * [misc]taylor: Taking taylor expansion of k in k 1540196430.900 * [misc]backup-simplify: Simplify 0 into 0 1540196430.900 * [misc]backup-simplify: Simplify 1 into 1 1540196430.900 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196430.900 * [misc]taylor: Taking taylor expansion of PI in k 1540196430.900 * [misc]backup-simplify: Simplify PI into PI 1540196430.901 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196430.901 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196430.901 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.901 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196430.901 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196430.902 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540196430.902 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540196430.902 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196430.902 * [misc]taylor: Taking taylor expansion of k in k 1540196430.902 * [misc]backup-simplify: Simplify 0 into 0 1540196430.902 * [misc]backup-simplify: Simplify 1 into 1 1540196430.902 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.902 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.902 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196430.902 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1540196430.902 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540196430.902 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540196430.902 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540196430.902 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540196430.902 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196430.902 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.902 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.902 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196430.902 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.902 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.902 * [misc]taylor: Taking taylor expansion of k in k 1540196430.902 * [misc]backup-simplify: Simplify 0 into 0 1540196430.902 * [misc]backup-simplify: Simplify 1 into 1 1540196430.902 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540196430.902 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540196430.902 * [misc]taylor: Taking taylor expansion of 2 in k 1540196430.903 * [misc]backup-simplify: Simplify 2 into 2 1540196430.903 * [misc]taylor: Taking taylor expansion of n in k 1540196430.903 * [misc]backup-simplify: Simplify n into n 1540196430.903 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540196430.903 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540196430.903 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196430.903 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.903 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196430.903 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540196430.903 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540196430.903 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540196430.903 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540196430.903 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540196430.903 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196430.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.903 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196430.903 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196430.903 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196430.903 * [misc]taylor: Taking taylor expansion of k in k 1540196430.903 * [misc]backup-simplify: Simplify 0 into 0 1540196430.903 * [misc]backup-simplify: Simplify 1 into 1 1540196430.903 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196430.903 * [misc]taylor: Taking taylor expansion of PI in k 1540196430.903 * [misc]backup-simplify: Simplify PI into PI 1540196430.903 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196430.904 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196430.904 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.904 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196430.904 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196430.905 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540196430.905 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540196430.905 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196430.905 * [misc]taylor: Taking taylor expansion of k in k 1540196430.905 * [misc]backup-simplify: Simplify 0 into 0 1540196430.905 * [misc]backup-simplify: Simplify 1 into 1 1540196430.905 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196430.905 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.905 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196430.905 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1540196430.905 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1540196430.905 * [misc]taylor: Taking taylor expansion of 0 in n 1540196430.906 * [misc]backup-simplify: Simplify 0 into 0 1540196430.906 * [misc]backup-simplify: Simplify 0 into 0 1540196430.907 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196430.907 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196430.907 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196430.907 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196430.908 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540196430.910 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540196430.910 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1540196430.910 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1540196430.910 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196430.911 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196430.911 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196430.911 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1540196430.911 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1540196430.912 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1540196430.914 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1540196430.914 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1540196430.914 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540196430.914 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.914 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.914 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540196430.914 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196430.914 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.914 * [misc]backup-simplify: Simplify 2 into 2 1540196430.914 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196430.914 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196430.915 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196430.915 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196430.915 * [misc]taylor: Taking taylor expansion of n in n 1540196430.915 * [misc]backup-simplify: Simplify 0 into 0 1540196430.915 * [misc]backup-simplify: Simplify 1 into 1 1540196430.915 * [misc]taylor: Taking taylor expansion of PI in n 1540196430.915 * [misc]backup-simplify: Simplify PI into PI 1540196430.915 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196430.916 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196430.916 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.917 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196430.917 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540196430.917 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196430.917 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.917 * [misc]backup-simplify: Simplify 0 into 0 1540196430.917 * [misc]backup-simplify: Simplify 0 into 0 1540196430.917 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540196430.918 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196430.922 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540196430.923 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196430.923 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.923 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196430.924 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540196430.928 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540196430.929 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1540196430.930 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1540196430.931 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196430.931 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.931 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196430.931 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1540196430.932 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1540196430.936 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1540196430.939 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1540196430.940 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1540196430.940 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1540196430.940 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1540196430.940 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.940 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.940 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1540196430.940 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540196430.940 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196430.940 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.940 * [misc]backup-simplify: Simplify 2 into 2 1540196430.940 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196430.940 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196430.940 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196430.940 * [misc]taylor: Taking taylor expansion of PI in n 1540196430.940 * [misc]backup-simplify: Simplify PI into PI 1540196430.941 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196430.941 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540196430.941 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540196430.941 * [misc]taylor: Taking taylor expansion of PI in n 1540196430.941 * [misc]backup-simplify: Simplify PI into PI 1540196430.941 * [misc]taylor: Taking taylor expansion of n in n 1540196430.941 * [misc]backup-simplify: Simplify 0 into 0 1540196430.941 * [misc]backup-simplify: Simplify 1 into 1 1540196430.941 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196430.942 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196430.942 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.942 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196430.942 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1540196430.942 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1540196430.942 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540196430.942 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.942 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.942 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540196430.942 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196430.942 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.942 * [misc]backup-simplify: Simplify 2 into 2 1540196430.943 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196430.943 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196430.943 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196430.943 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196430.943 * [misc]taylor: Taking taylor expansion of n in n 1540196430.943 * [misc]backup-simplify: Simplify 0 into 0 1540196430.943 * [misc]backup-simplify: Simplify 1 into 1 1540196430.943 * [misc]taylor: Taking taylor expansion of PI in n 1540196430.943 * [misc]backup-simplify: Simplify PI into PI 1540196430.943 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196430.944 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196430.944 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.944 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196430.944 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1540196430.945 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1540196430.945 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.945 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.945 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1540196430.945 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1540196430.945 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196430.945 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.945 * [misc]backup-simplify: Simplify 2 into 2 1540196430.945 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196430.945 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196430.945 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540196430.945 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540196430.945 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.945 * [misc]backup-simplify: Simplify 2 into 2 1540196430.945 * [misc]taylor: Taking taylor expansion of n in n 1540196430.945 * [misc]backup-simplify: Simplify 0 into 0 1540196430.945 * [misc]backup-simplify: Simplify 1 into 1 1540196430.945 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196430.946 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540196430.946 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196430.946 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540196430.946 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540196430.946 * [misc]taylor: Taking taylor expansion of PI in n 1540196430.946 * [misc]backup-simplify: Simplify PI into PI 1540196430.946 * [misc]taylor: Taking taylor expansion of n in n 1540196430.946 * [misc]backup-simplify: Simplify 0 into 0 1540196430.946 * [misc]backup-simplify: Simplify 1 into 1 1540196430.946 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196430.947 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196430.947 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.947 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196430.948 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540196430.949 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1540196430.949 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196430.949 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540196430.949 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196430.950 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196430.950 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1540196430.950 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1540196430.951 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196430.951 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.951 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196430.951 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.951 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196430.951 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.951 * [misc]backup-simplify: Simplify 0 into 0 1540196430.952 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540196430.954 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540196430.955 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540196430.956 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540196430.956 * [misc]backup-simplify: Simplify 0 into 0 1540196430.957 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196430.958 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196430.964 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1540196430.965 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540196430.965 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.965 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196430.967 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1540196430.974 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1540196430.975 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1540196430.977 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1540196430.978 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540196430.978 * [misc]backup-simplify: Simplify (- 0) into 0 1540196430.978 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196430.979 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1540196430.980 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1540196430.986 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1540196430.995 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1540196430.995 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1540196430.995 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1540196430.995 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1540196430.995 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.995 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.995 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1540196430.995 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540196430.995 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196430.995 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.995 * [misc]backup-simplify: Simplify 2 into 2 1540196430.996 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196430.996 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196430.996 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196430.996 * [misc]taylor: Taking taylor expansion of PI in n 1540196430.996 * [misc]backup-simplify: Simplify PI into PI 1540196430.996 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196430.996 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540196430.996 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540196430.996 * [misc]taylor: Taking taylor expansion of PI in n 1540196430.996 * [misc]backup-simplify: Simplify PI into PI 1540196430.996 * [misc]taylor: Taking taylor expansion of n in n 1540196430.997 * [misc]backup-simplify: Simplify 0 into 0 1540196430.997 * [misc]backup-simplify: Simplify 1 into 1 1540196430.997 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196430.997 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196430.998 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196430.998 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196430.998 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1540196430.998 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1540196430.998 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1540196430.998 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196430.998 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196430.998 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1540196430.998 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1540196430.998 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196430.998 * [misc]taylor: Taking taylor expansion of 2 in n 1540196430.998 * [misc]backup-simplify: Simplify 2 into 2 1540196430.999 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196430.999 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196430.999 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1540196430.999 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196430.999 * [misc]taylor: Taking taylor expansion of PI in n 1540196430.999 * [misc]backup-simplify: Simplify PI into PI 1540196430.999 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196430.999 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540196430.999 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540196430.999 * [misc]taylor: Taking taylor expansion of PI in n 1540196430.999 * [misc]backup-simplify: Simplify PI into PI 1540196430.999 * [misc]taylor: Taking taylor expansion of n in n 1540196430.999 * [misc]backup-simplify: Simplify 0 into 0 1540196430.999 * [misc]backup-simplify: Simplify 1 into 1 1540196431.000 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196431.000 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196431.000 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196431.001 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196431.001 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1540196431.001 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1540196431.001 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1540196431.001 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196431.001 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196431.001 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1540196431.001 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1540196431.001 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196431.001 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.001 * [misc]backup-simplify: Simplify 2 into 2 1540196431.001 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196431.001 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196431.002 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1540196431.002 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540196431.002 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540196431.002 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.002 * [misc]backup-simplify: Simplify 2 into 2 1540196431.002 * [misc]taylor: Taking taylor expansion of n in n 1540196431.002 * [misc]backup-simplify: Simplify 0 into 0 1540196431.002 * [misc]backup-simplify: Simplify 1 into 1 1540196431.002 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196431.002 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540196431.002 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.003 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196431.003 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540196431.003 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540196431.003 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.003 * [misc]backup-simplify: Simplify PI into PI 1540196431.003 * [misc]taylor: Taking taylor expansion of n in n 1540196431.003 * [misc]backup-simplify: Simplify 0 into 0 1540196431.003 * [misc]backup-simplify: Simplify 1 into 1 1540196431.003 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196431.004 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196431.004 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196431.004 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196431.004 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1540196431.004 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1540196431.004 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1540196431.004 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196431.004 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196431.005 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1540196431.005 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1540196431.005 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196431.005 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.005 * [misc]backup-simplify: Simplify 2 into 2 1540196431.005 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196431.005 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196431.005 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1540196431.005 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540196431.005 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540196431.005 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.005 * [misc]backup-simplify: Simplify 2 into 2 1540196431.005 * [misc]taylor: Taking taylor expansion of n in n 1540196431.005 * [misc]backup-simplify: Simplify 0 into 0 1540196431.005 * [misc]backup-simplify: Simplify 1 into 1 1540196431.005 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196431.006 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540196431.006 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.006 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196431.006 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.006 * [misc]backup-simplify: Simplify PI into PI 1540196431.006 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.006 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196431.006 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196431.006 * [misc]taylor: Taking taylor expansion of n in n 1540196431.006 * [misc]backup-simplify: Simplify 0 into 0 1540196431.006 * [misc]backup-simplify: Simplify 1 into 1 1540196431.006 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.006 * [misc]backup-simplify: Simplify PI into PI 1540196431.007 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196431.007 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196431.007 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196431.008 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196431.008 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1540196431.008 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1540196431.008 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540196431.008 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196431.008 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196431.008 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540196431.008 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196431.008 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.008 * [misc]backup-simplify: Simplify 2 into 2 1540196431.008 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196431.008 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196431.008 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196431.008 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196431.008 * [misc]taylor: Taking taylor expansion of n in n 1540196431.009 * [misc]backup-simplify: Simplify 0 into 0 1540196431.009 * [misc]backup-simplify: Simplify 1 into 1 1540196431.009 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.009 * [misc]backup-simplify: Simplify PI into PI 1540196431.009 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196431.009 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196431.010 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196431.010 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196431.010 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1540196431.010 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1540196431.010 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196431.010 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196431.010 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1540196431.010 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1540196431.010 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196431.010 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.010 * [misc]backup-simplify: Simplify 2 into 2 1540196431.010 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196431.011 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196431.011 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540196431.011 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540196431.011 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.011 * [misc]backup-simplify: Simplify 2 into 2 1540196431.011 * [misc]taylor: Taking taylor expansion of n in n 1540196431.011 * [misc]backup-simplify: Simplify 0 into 0 1540196431.011 * [misc]backup-simplify: Simplify 1 into 1 1540196431.011 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196431.011 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540196431.011 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.011 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540196431.011 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540196431.011 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.011 * [misc]backup-simplify: Simplify PI into PI 1540196431.011 * [misc]taylor: Taking taylor expansion of n in n 1540196431.011 * [misc]backup-simplify: Simplify 0 into 0 1540196431.011 * [misc]backup-simplify: Simplify 1 into 1 1540196431.012 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196431.012 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196431.012 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196431.012 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196431.013 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540196431.013 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1540196431.013 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196431.014 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1540196431.014 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1540196431.015 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1540196431.015 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196431.016 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196431.016 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196431.017 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1540196431.017 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1540196431.018 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1540196431.018 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196431.018 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196431.018 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1540196431.019 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1540196431.019 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1540196431.019 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196431.019 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540196431.020 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196431.020 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196431.020 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1540196431.020 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1540196431.020 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196431.020 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.021 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.021 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.021 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.021 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.021 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.021 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.021 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.021 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.021 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.021 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.021 * [misc]backup-simplify: Simplify 0 into 0 1540196431.023 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196431.023 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1540196431.025 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1540196431.026 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1540196431.027 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540196431.028 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540196431.028 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540196431.029 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196431.030 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196431.030 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1540196431.030 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1540196431.032 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1540196431.033 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1540196431.035 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1540196431.037 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1540196431.040 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1540196431.044 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1540196431.050 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1540196431.052 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540196431.053 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540196431.055 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540196431.057 * [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)))) 1540196431.061 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540196431.062 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540196431.064 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540196431.074 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1540196431.074 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1540196431.074 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1540196431.074 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1540196431.074 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196431.075 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196431.075 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540196431.075 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540196431.075 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196431.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.075 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.075 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.075 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.075 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.075 * [misc]taylor: Taking taylor expansion of k in n 1540196431.075 * [misc]backup-simplify: Simplify k into k 1540196431.075 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.075 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196431.075 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.075 * [misc]backup-simplify: Simplify PI into PI 1540196431.075 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.075 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.076 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196431.076 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196431.076 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540196431.076 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196431.076 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196431.076 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540196431.076 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540196431.076 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196431.077 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.077 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.077 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.077 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.077 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.077 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.077 * [misc]taylor: Taking taylor expansion of k in n 1540196431.077 * [misc]backup-simplify: Simplify k into k 1540196431.077 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.077 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540196431.077 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540196431.077 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.077 * [misc]backup-simplify: Simplify 2 into 2 1540196431.077 * [misc]taylor: Taking taylor expansion of n in n 1540196431.077 * [misc]backup-simplify: Simplify 0 into 0 1540196431.077 * [misc]backup-simplify: Simplify 1 into 1 1540196431.077 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540196431.077 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.077 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.077 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196431.078 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196431.078 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196431.078 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540196431.079 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540196431.079 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540196431.079 * [misc]taylor: Taking taylor expansion of k in n 1540196431.079 * [misc]backup-simplify: Simplify k into k 1540196431.079 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540196431.079 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540196431.079 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1540196431.079 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196431.079 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196431.079 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540196431.079 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540196431.079 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196431.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.079 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196431.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.079 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196431.079 * [misc]taylor: Taking taylor expansion of k in k 1540196431.079 * [misc]backup-simplify: Simplify 0 into 0 1540196431.079 * [misc]backup-simplify: Simplify 1 into 1 1540196431.079 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196431.079 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196431.079 * [misc]taylor: Taking taylor expansion of PI in k 1540196431.080 * [misc]backup-simplify: Simplify PI into PI 1540196431.080 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.080 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196431.080 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196431.080 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196431.081 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540196431.081 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196431.081 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196431.081 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540196431.081 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540196431.081 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196431.081 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.081 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196431.081 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.081 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.081 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196431.081 * [misc]taylor: Taking taylor expansion of k in k 1540196431.081 * [misc]backup-simplify: Simplify 0 into 0 1540196431.081 * [misc]backup-simplify: Simplify 1 into 1 1540196431.082 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196431.082 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540196431.082 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540196431.082 * [misc]taylor: Taking taylor expansion of 2 in k 1540196431.082 * [misc]backup-simplify: Simplify 2 into 2 1540196431.082 * [misc]taylor: Taking taylor expansion of n in k 1540196431.082 * [misc]backup-simplify: Simplify n into n 1540196431.082 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540196431.082 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540196431.082 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196431.082 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196431.082 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196431.082 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540196431.083 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540196431.083 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540196431.083 * [misc]taylor: Taking taylor expansion of k in k 1540196431.083 * [misc]backup-simplify: Simplify 0 into 0 1540196431.083 * [misc]backup-simplify: Simplify 1 into 1 1540196431.083 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196431.083 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196431.083 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1540196431.083 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196431.083 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196431.084 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540196431.084 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540196431.084 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196431.084 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.084 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196431.084 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.084 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196431.084 * [misc]taylor: Taking taylor expansion of k in k 1540196431.084 * [misc]backup-simplify: Simplify 0 into 0 1540196431.084 * [misc]backup-simplify: Simplify 1 into 1 1540196431.084 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196431.084 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196431.084 * [misc]taylor: Taking taylor expansion of PI in k 1540196431.084 * [misc]backup-simplify: Simplify PI into PI 1540196431.084 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.085 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196431.085 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196431.085 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196431.085 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540196431.086 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196431.086 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196431.086 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540196431.086 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540196431.086 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196431.086 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.086 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196431.086 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.086 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.086 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196431.086 * [misc]taylor: Taking taylor expansion of k in k 1540196431.086 * [misc]backup-simplify: Simplify 0 into 0 1540196431.086 * [misc]backup-simplify: Simplify 1 into 1 1540196431.086 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196431.086 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540196431.086 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540196431.086 * [misc]taylor: Taking taylor expansion of 2 in k 1540196431.086 * [misc]backup-simplify: Simplify 2 into 2 1540196431.086 * [misc]taylor: Taking taylor expansion of n in k 1540196431.086 * [misc]backup-simplify: Simplify n into n 1540196431.086 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540196431.086 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540196431.087 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196431.087 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196431.087 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196431.087 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540196431.087 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540196431.087 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540196431.087 * [misc]taylor: Taking taylor expansion of k in k 1540196431.087 * [misc]backup-simplify: Simplify 0 into 0 1540196431.087 * [misc]backup-simplify: Simplify 1 into 1 1540196431.087 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196431.088 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196431.088 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540196431.089 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1540196431.089 * [misc]taylor: Taking taylor expansion of 0 in n 1540196431.089 * [misc]backup-simplify: Simplify 0 into 0 1540196431.089 * [misc]backup-simplify: Simplify 0 into 0 1540196431.089 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1540196431.089 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540196431.089 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540196431.090 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540196431.090 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196431.090 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196431.090 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196431.090 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196431.090 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540196431.090 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540196431.090 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196431.090 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.090 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.090 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.090 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.090 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.090 * [misc]taylor: Taking taylor expansion of k in n 1540196431.090 * [misc]backup-simplify: Simplify k into k 1540196431.090 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.090 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196431.090 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.090 * [misc]backup-simplify: Simplify PI into PI 1540196431.090 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.090 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.091 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196431.091 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196431.091 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540196431.091 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196431.091 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196431.091 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540196431.091 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540196431.091 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196431.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.092 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.092 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.092 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.092 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.092 * [misc]taylor: Taking taylor expansion of k in n 1540196431.092 * [misc]backup-simplify: Simplify k into k 1540196431.092 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.092 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540196431.092 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540196431.092 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.092 * [misc]backup-simplify: Simplify 2 into 2 1540196431.092 * [misc]taylor: Taking taylor expansion of n in n 1540196431.092 * [misc]backup-simplify: Simplify 0 into 0 1540196431.092 * [misc]backup-simplify: Simplify 1 into 1 1540196431.092 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540196431.092 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.092 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.092 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196431.093 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196431.093 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196431.093 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540196431.094 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540196431.094 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540196431.094 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1540196431.095 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540196431.095 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540196431.095 * [misc]backup-simplify: Simplify 0 into 0 1540196431.096 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196431.096 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1540196431.097 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540196431.097 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540196431.097 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540196431.097 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196431.097 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196431.097 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196431.097 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196431.097 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540196431.097 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540196431.097 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196431.097 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.097 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.097 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.097 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.097 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.097 * [misc]taylor: Taking taylor expansion of k in n 1540196431.097 * [misc]backup-simplify: Simplify k into k 1540196431.097 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.097 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196431.097 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.097 * [misc]backup-simplify: Simplify PI into PI 1540196431.097 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.097 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.097 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196431.098 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196431.098 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540196431.098 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196431.098 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196431.098 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540196431.098 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540196431.098 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196431.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.098 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.098 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.098 * [misc]taylor: Taking taylor expansion of k in n 1540196431.098 * [misc]backup-simplify: Simplify k into k 1540196431.098 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.098 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540196431.098 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540196431.098 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.098 * [misc]backup-simplify: Simplify 2 into 2 1540196431.098 * [misc]taylor: Taking taylor expansion of n in n 1540196431.098 * [misc]backup-simplify: Simplify 0 into 0 1540196431.098 * [misc]backup-simplify: Simplify 1 into 1 1540196431.098 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540196431.099 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.099 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.099 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196431.099 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196431.099 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196431.099 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540196431.099 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540196431.100 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540196431.100 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1540196431.100 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540196431.101 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540196431.101 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540196431.102 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196431.102 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196431.102 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196431.102 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.103 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.103 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196431.103 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540196431.104 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196431.105 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196431.105 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196431.105 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196431.105 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.106 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.106 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1540196431.107 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196431.107 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1540196431.107 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1540196431.108 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.108 * [misc]backup-simplify: Simplify 0 into 0 1540196431.108 * [misc]backup-simplify: Simplify 0 into 0 1540196431.108 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196431.109 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540196431.109 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1540196431.109 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540196431.109 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540196431.109 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196431.109 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196431.109 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196431.109 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196431.109 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540196431.109 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540196431.109 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196431.109 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.109 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.109 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.109 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.109 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.109 * [misc]taylor: Taking taylor expansion of k in n 1540196431.109 * [misc]backup-simplify: Simplify k into k 1540196431.109 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.109 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196431.109 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.109 * [misc]backup-simplify: Simplify PI into PI 1540196431.110 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.110 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.110 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196431.110 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196431.110 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540196431.110 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196431.110 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196431.110 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540196431.110 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540196431.110 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196431.110 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.110 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.110 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.110 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.110 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.110 * [misc]taylor: Taking taylor expansion of k in n 1540196431.110 * [misc]backup-simplify: Simplify k into k 1540196431.110 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.110 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540196431.111 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540196431.111 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.111 * [misc]backup-simplify: Simplify 2 into 2 1540196431.111 * [misc]taylor: Taking taylor expansion of n in n 1540196431.111 * [misc]backup-simplify: Simplify 0 into 0 1540196431.111 * [misc]backup-simplify: Simplify 1 into 1 1540196431.111 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540196431.111 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.111 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.111 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196431.111 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196431.111 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196431.111 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540196431.112 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540196431.112 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1540196431.112 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1540196431.112 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540196431.113 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1540196431.114 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1540196431.114 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1540196431.114 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1540196431.115 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1540196431.115 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196431.115 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196431.115 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540196431.115 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540196431.115 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196431.115 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.115 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.115 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.115 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.115 * [misc]taylor: Taking taylor expansion of k in n 1540196431.115 * [misc]backup-simplify: Simplify k into k 1540196431.115 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.115 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.115 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.115 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540196431.115 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540196431.115 * [misc]taylor: Taking taylor expansion of -2 in n 1540196431.115 * [misc]backup-simplify: Simplify -2 into -2 1540196431.115 * [misc]taylor: Taking taylor expansion of n in n 1540196431.115 * [misc]backup-simplify: Simplify 0 into 0 1540196431.115 * [misc]backup-simplify: Simplify 1 into 1 1540196431.115 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540196431.115 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540196431.115 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.115 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196431.116 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196431.116 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540196431.116 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540196431.116 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196431.116 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196431.116 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196431.116 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196431.116 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.116 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.116 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.116 * [misc]taylor: Taking taylor expansion of k in n 1540196431.116 * [misc]backup-simplify: Simplify k into k 1540196431.116 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.116 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.116 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196431.116 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.116 * [misc]backup-simplify: Simplify PI into PI 1540196431.117 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.117 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.117 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196431.117 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196431.117 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196431.117 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540196431.117 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540196431.117 * [misc]taylor: Taking taylor expansion of -1 in n 1540196431.117 * [misc]backup-simplify: Simplify -1 into -1 1540196431.117 * [misc]taylor: Taking taylor expansion of k in n 1540196431.117 * [misc]backup-simplify: Simplify k into k 1540196431.117 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540196431.117 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540196431.117 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540196431.117 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540196431.118 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196431.118 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1540196431.118 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1540196431.118 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196431.118 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196431.118 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540196431.118 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540196431.118 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196431.118 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196431.118 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.118 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196431.118 * [misc]taylor: Taking taylor expansion of k in k 1540196431.118 * [misc]backup-simplify: Simplify 0 into 0 1540196431.118 * [misc]backup-simplify: Simplify 1 into 1 1540196431.118 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196431.118 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.118 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.118 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540196431.118 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540196431.118 * [misc]taylor: Taking taylor expansion of -2 in k 1540196431.118 * [misc]backup-simplify: Simplify -2 into -2 1540196431.118 * [misc]taylor: Taking taylor expansion of n in k 1540196431.118 * [misc]backup-simplify: Simplify n into n 1540196431.119 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540196431.119 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540196431.119 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196431.119 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196431.119 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540196431.119 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196431.119 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196431.119 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540196431.119 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540196431.119 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196431.119 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196431.119 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.119 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196431.119 * [misc]taylor: Taking taylor expansion of k in k 1540196431.119 * [misc]backup-simplify: Simplify 0 into 0 1540196431.119 * [misc]backup-simplify: Simplify 1 into 1 1540196431.119 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196431.119 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.119 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196431.119 * [misc]taylor: Taking taylor expansion of PI in k 1540196431.119 * [misc]backup-simplify: Simplify PI into PI 1540196431.120 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.120 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196431.120 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196431.120 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196431.120 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196431.120 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196431.120 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196431.120 * [misc]taylor: Taking taylor expansion of -1 in k 1540196431.120 * [misc]backup-simplify: Simplify -1 into -1 1540196431.120 * [misc]taylor: Taking taylor expansion of k in k 1540196431.120 * [misc]backup-simplify: Simplify 0 into 0 1540196431.120 * [misc]backup-simplify: Simplify 1 into 1 1540196431.121 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196431.121 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196431.121 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196431.121 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196431.121 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196431.121 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1540196431.121 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196431.121 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196431.121 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540196431.121 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540196431.121 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196431.121 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196431.121 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.121 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196431.121 * [misc]taylor: Taking taylor expansion of k in k 1540196431.121 * [misc]backup-simplify: Simplify 0 into 0 1540196431.121 * [misc]backup-simplify: Simplify 1 into 1 1540196431.122 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196431.122 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.122 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540196431.122 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540196431.122 * [misc]taylor: Taking taylor expansion of -2 in k 1540196431.122 * [misc]backup-simplify: Simplify -2 into -2 1540196431.122 * [misc]taylor: Taking taylor expansion of n in k 1540196431.122 * [misc]backup-simplify: Simplify n into n 1540196431.122 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540196431.122 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540196431.122 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196431.122 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196431.122 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540196431.122 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196431.122 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196431.122 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540196431.122 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540196431.122 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196431.122 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196431.122 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.122 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196431.122 * [misc]taylor: Taking taylor expansion of k in k 1540196431.122 * [misc]backup-simplify: Simplify 0 into 0 1540196431.122 * [misc]backup-simplify: Simplify 1 into 1 1540196431.122 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196431.123 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.123 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196431.123 * [misc]taylor: Taking taylor expansion of PI in k 1540196431.123 * [misc]backup-simplify: Simplify PI into PI 1540196431.123 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.123 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196431.123 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196431.123 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196431.123 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196431.123 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196431.124 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196431.124 * [misc]taylor: Taking taylor expansion of -1 in k 1540196431.124 * [misc]backup-simplify: Simplify -1 into -1 1540196431.124 * [misc]taylor: Taking taylor expansion of k in k 1540196431.124 * [misc]backup-simplify: Simplify 0 into 0 1540196431.124 * [misc]backup-simplify: Simplify 1 into 1 1540196431.124 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196431.124 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196431.124 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196431.124 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196431.124 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196431.124 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196431.125 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196431.125 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196431.125 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196431.125 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196431.125 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540196431.125 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540196431.125 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196431.125 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.125 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.125 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.125 * [misc]taylor: Taking taylor expansion of k in n 1540196431.125 * [misc]backup-simplify: Simplify k into k 1540196431.125 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.125 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.125 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540196431.125 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540196431.125 * [misc]taylor: Taking taylor expansion of -2 in n 1540196431.125 * [misc]backup-simplify: Simplify -2 into -2 1540196431.125 * [misc]taylor: Taking taylor expansion of n in n 1540196431.125 * [misc]backup-simplify: Simplify 0 into 0 1540196431.125 * [misc]backup-simplify: Simplify 1 into 1 1540196431.125 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540196431.125 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540196431.125 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.125 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196431.126 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196431.126 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540196431.126 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540196431.126 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196431.126 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196431.126 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196431.126 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196431.126 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.126 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.126 * [misc]taylor: Taking taylor expansion of k in n 1540196431.126 * [misc]backup-simplify: Simplify k into k 1540196431.126 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.126 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.126 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196431.126 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.126 * [misc]backup-simplify: Simplify PI into PI 1540196431.127 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.127 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.127 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196431.127 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196431.127 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196431.127 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196431.128 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196431.128 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196431.128 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1540196431.128 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196431.129 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196431.130 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196431.130 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540196431.130 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196431.130 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196431.130 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196431.130 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196431.130 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196431.130 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540196431.130 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540196431.130 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196431.130 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.130 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.130 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.130 * [misc]taylor: Taking taylor expansion of k in n 1540196431.130 * [misc]backup-simplify: Simplify k into k 1540196431.130 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.130 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.130 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540196431.130 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540196431.130 * [misc]taylor: Taking taylor expansion of -2 in n 1540196431.130 * [misc]backup-simplify: Simplify -2 into -2 1540196431.130 * [misc]taylor: Taking taylor expansion of n in n 1540196431.130 * [misc]backup-simplify: Simplify 0 into 0 1540196431.130 * [misc]backup-simplify: Simplify 1 into 1 1540196431.130 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540196431.130 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540196431.130 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.130 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196431.131 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196431.131 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540196431.131 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540196431.131 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196431.131 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196431.131 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196431.131 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196431.131 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.131 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.131 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.131 * [misc]taylor: Taking taylor expansion of k in n 1540196431.131 * [misc]backup-simplify: Simplify k into k 1540196431.131 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.131 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.131 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196431.131 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.131 * [misc]backup-simplify: Simplify PI into PI 1540196431.131 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.132 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.132 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196431.132 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196431.132 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196431.132 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196431.133 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196431.133 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196431.133 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196431.136 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196431.136 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196431.136 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196431.136 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.136 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1540196431.137 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196431.137 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540196431.139 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540196431.139 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196431.139 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196431.139 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.140 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196431.140 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540196431.140 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196431.141 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1540196431.141 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1540196431.141 * [misc]backup-simplify: Simplify 0 into 0 1540196431.141 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1540196431.142 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196431.142 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196431.143 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196431.143 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540196431.143 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196431.143 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196431.143 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196431.143 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196431.143 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196431.143 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540196431.143 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540196431.143 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196431.143 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.143 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.143 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.143 * [misc]taylor: Taking taylor expansion of k in n 1540196431.143 * [misc]backup-simplify: Simplify k into k 1540196431.143 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.144 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.144 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540196431.144 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540196431.144 * [misc]taylor: Taking taylor expansion of -2 in n 1540196431.144 * [misc]backup-simplify: Simplify -2 into -2 1540196431.144 * [misc]taylor: Taking taylor expansion of n in n 1540196431.144 * [misc]backup-simplify: Simplify 0 into 0 1540196431.144 * [misc]backup-simplify: Simplify 1 into 1 1540196431.144 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540196431.144 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540196431.144 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.144 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196431.144 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196431.144 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540196431.145 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540196431.145 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196431.145 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196431.145 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196431.145 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196431.145 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.145 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.145 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.145 * [misc]taylor: Taking taylor expansion of k in n 1540196431.145 * [misc]backup-simplify: Simplify k into k 1540196431.145 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.145 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.145 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196431.145 * [misc]taylor: Taking taylor expansion of PI in n 1540196431.145 * [misc]backup-simplify: Simplify PI into PI 1540196431.145 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196431.145 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.145 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196431.145 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196431.146 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196431.146 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196431.146 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196431.147 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196431.147 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196431.148 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1540196431.148 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) 1540196431.148 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1540196431.148 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1540196431.148 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1540196431.148 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1540196431.148 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1540196431.148 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196431.148 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.149 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.149 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196431.149 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.149 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.149 * [misc]taylor: Taking taylor expansion of k in k 1540196431.149 * [misc]backup-simplify: Simplify 0 into 0 1540196431.149 * [misc]backup-simplify: Simplify 1 into 1 1540196431.149 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1540196431.149 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1540196431.149 * [misc]taylor: Taking taylor expansion of 2 in k 1540196431.149 * [misc]backup-simplify: Simplify 2 into 2 1540196431.149 * [misc]taylor: Taking taylor expansion of n in k 1540196431.149 * [misc]backup-simplify: Simplify n into n 1540196431.149 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1540196431.149 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1540196431.149 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196431.149 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.149 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196431.149 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1540196431.149 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1540196431.149 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540196431.149 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540196431.149 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540196431.149 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196431.149 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.149 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.149 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196431.149 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.149 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.149 * [misc]taylor: Taking taylor expansion of k in n 1540196431.149 * [misc]backup-simplify: Simplify k into k 1540196431.149 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540196431.149 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540196431.149 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.149 * [misc]backup-simplify: Simplify 2 into 2 1540196431.149 * [misc]taylor: Taking taylor expansion of n in n 1540196431.150 * [misc]backup-simplify: Simplify 0 into 0 1540196431.150 * [misc]backup-simplify: Simplify 1 into 1 1540196431.150 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196431.150 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540196431.150 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.150 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196431.150 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196431.150 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196431.150 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196431.150 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540196431.151 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1540196431.151 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1540196431.151 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1540196431.151 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1540196431.151 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196431.151 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.151 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.151 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196431.151 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.151 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.151 * [misc]taylor: Taking taylor expansion of k in n 1540196431.151 * [misc]backup-simplify: Simplify k into k 1540196431.151 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1540196431.151 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1540196431.151 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.151 * [misc]backup-simplify: Simplify 2 into 2 1540196431.151 * [misc]taylor: Taking taylor expansion of n in n 1540196431.151 * [misc]backup-simplify: Simplify 0 into 0 1540196431.151 * [misc]backup-simplify: Simplify 1 into 1 1540196431.151 * [misc]backup-simplify: Simplify (* 2 0) into 0 1540196431.152 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1540196431.152 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.152 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196431.152 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196431.152 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196431.152 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196431.152 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1540196431.152 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1540196431.152 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1540196431.153 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1540196431.153 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1540196431.153 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196431.153 * [misc]taylor: Taking taylor expansion of 2 in k 1540196431.153 * [misc]backup-simplify: Simplify 2 into 2 1540196431.153 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.153 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196431.153 * [misc]taylor: Taking taylor expansion of n in k 1540196431.153 * [misc]backup-simplify: Simplify n into n 1540196431.153 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196431.153 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196431.153 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.153 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196431.153 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.153 * [misc]taylor: Taking taylor expansion of k in k 1540196431.153 * [misc]backup-simplify: Simplify 0 into 0 1540196431.153 * [misc]backup-simplify: Simplify 1 into 1 1540196431.153 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1540196431.153 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196431.153 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.153 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196431.154 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1540196431.154 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1540196431.154 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1540196431.154 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1540196431.156 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196431.156 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540196431.156 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.156 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.156 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196431.156 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1540196431.157 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196431.157 * [misc]taylor: Taking taylor expansion of 0 in k 1540196431.157 * [misc]backup-simplify: Simplify 0 into 0 1540196431.157 * [misc]backup-simplify: Simplify 0 into 0 1540196431.157 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196431.157 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196431.158 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196431.159 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196431.159 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540196431.160 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.160 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1540196431.160 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1540196431.161 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1540196431.161 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540196431.163 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540196431.164 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540196431.164 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.164 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.164 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1540196431.164 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1540196431.166 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196431.166 * [misc]taylor: Taking taylor expansion of 0 in k 1540196431.166 * [misc]backup-simplify: Simplify 0 into 0 1540196431.166 * [misc]backup-simplify: Simplify 0 into 0 1540196431.166 * [misc]backup-simplify: Simplify 0 into 0 1540196431.166 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196431.166 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.166 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.169 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540196431.170 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540196431.170 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.170 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1540196431.171 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1540196431.172 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1540196431.173 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1540196431.174 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540196431.174 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1540196431.174 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196431.174 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1540196431.174 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1540196431.174 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196431.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.174 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196431.174 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.174 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.174 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196431.174 * [misc]taylor: Taking taylor expansion of k in k 1540196431.174 * [misc]backup-simplify: Simplify 0 into 0 1540196431.174 * [misc]backup-simplify: Simplify 1 into 1 1540196431.174 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196431.174 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1540196431.174 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1540196431.174 * [misc]taylor: Taking taylor expansion of 2 in k 1540196431.174 * [misc]backup-simplify: Simplify 2 into 2 1540196431.174 * [misc]taylor: Taking taylor expansion of n in k 1540196431.174 * [misc]backup-simplify: Simplify n into n 1540196431.174 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1540196431.174 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1540196431.174 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196431.174 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196431.175 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196431.175 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1540196431.175 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540196431.175 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196431.175 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540196431.175 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540196431.175 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196431.175 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.175 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.175 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.175 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.175 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.175 * [misc]taylor: Taking taylor expansion of k in n 1540196431.175 * [misc]backup-simplify: Simplify k into k 1540196431.175 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.175 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540196431.175 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540196431.175 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.175 * [misc]backup-simplify: Simplify 2 into 2 1540196431.175 * [misc]taylor: Taking taylor expansion of n in n 1540196431.175 * [misc]backup-simplify: Simplify 0 into 0 1540196431.175 * [misc]backup-simplify: Simplify 1 into 1 1540196431.175 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540196431.175 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.175 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.175 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196431.176 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196431.176 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196431.176 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540196431.176 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540196431.176 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196431.176 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1540196431.176 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1540196431.176 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196431.176 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.176 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.176 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.176 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.176 * [misc]taylor: Taking taylor expansion of k in n 1540196431.176 * [misc]backup-simplify: Simplify k into k 1540196431.176 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.177 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1540196431.177 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1540196431.177 * [misc]taylor: Taking taylor expansion of 2 in n 1540196431.177 * [misc]backup-simplify: Simplify 2 into 2 1540196431.177 * [misc]taylor: Taking taylor expansion of n in n 1540196431.177 * [misc]backup-simplify: Simplify 0 into 0 1540196431.177 * [misc]backup-simplify: Simplify 1 into 1 1540196431.177 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1540196431.177 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.177 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.177 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196431.178 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196431.178 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196431.178 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1540196431.179 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540196431.179 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1540196431.179 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1540196431.179 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196431.179 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.179 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196431.179 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.179 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.179 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196431.179 * [misc]taylor: Taking taylor expansion of k in k 1540196431.179 * [misc]backup-simplify: Simplify 0 into 0 1540196431.179 * [misc]backup-simplify: Simplify 1 into 1 1540196431.179 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196431.179 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1540196431.179 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196431.179 * [misc]taylor: Taking taylor expansion of 2 in k 1540196431.179 * [misc]backup-simplify: Simplify 2 into 2 1540196431.179 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196431.179 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196431.179 * [misc]taylor: Taking taylor expansion of n in k 1540196431.179 * [misc]backup-simplify: Simplify n into n 1540196431.180 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196431.180 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196431.180 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196431.180 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196431.180 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540196431.180 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1540196431.180 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1540196431.180 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540196431.181 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1540196431.181 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1540196431.182 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196431.182 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196431.183 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196431.183 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.183 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.183 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196431.183 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1540196431.184 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196431.184 * [misc]taylor: Taking taylor expansion of 0 in k 1540196431.184 * [misc]backup-simplify: Simplify 0 into 0 1540196431.184 * [misc]backup-simplify: Simplify 0 into 0 1540196431.184 * [misc]backup-simplify: Simplify 0 into 0 1540196431.184 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196431.187 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540196431.187 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196431.187 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196431.187 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.188 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196431.188 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1540196431.189 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196431.189 * [misc]taylor: Taking taylor expansion of 0 in k 1540196431.189 * [misc]backup-simplify: Simplify 0 into 0 1540196431.189 * [misc]backup-simplify: Simplify 0 into 0 1540196431.189 * [misc]backup-simplify: Simplify 0 into 0 1540196431.189 * [misc]backup-simplify: Simplify 0 into 0 1540196431.190 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196431.193 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1540196431.194 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196431.194 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540196431.194 * [misc]backup-simplify: Simplify (- 0) into 0 1540196431.194 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.194 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1540196431.195 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1540196431.197 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540196431.197 * [misc]taylor: Taking taylor expansion of 0 in k 1540196431.197 * [misc]backup-simplify: Simplify 0 into 0 1540196431.197 * [misc]backup-simplify: Simplify 0 into 0 1540196431.197 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1540196431.197 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196431.197 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1540196431.197 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196431.197 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1540196431.197 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1540196431.197 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196431.197 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196431.197 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.197 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196431.197 * [misc]taylor: Taking taylor expansion of k in k 1540196431.197 * [misc]backup-simplify: Simplify 0 into 0 1540196431.197 * [misc]backup-simplify: Simplify 1 into 1 1540196431.197 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196431.197 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.198 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.198 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1540196431.198 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1540196431.198 * [misc]taylor: Taking taylor expansion of -2 in k 1540196431.198 * [misc]backup-simplify: Simplify -2 into -2 1540196431.198 * [misc]taylor: Taking taylor expansion of n in k 1540196431.198 * [misc]backup-simplify: Simplify n into n 1540196431.198 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1540196431.198 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1540196431.198 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196431.198 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196431.198 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1540196431.198 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196431.198 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196431.198 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540196431.198 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540196431.198 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196431.198 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.198 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.198 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.198 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.198 * [misc]taylor: Taking taylor expansion of k in n 1540196431.198 * [misc]backup-simplify: Simplify k into k 1540196431.198 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.198 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.198 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.198 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540196431.198 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540196431.198 * [misc]taylor: Taking taylor expansion of -2 in n 1540196431.198 * [misc]backup-simplify: Simplify -2 into -2 1540196431.198 * [misc]taylor: Taking taylor expansion of n in n 1540196431.198 * [misc]backup-simplify: Simplify 0 into 0 1540196431.198 * [misc]backup-simplify: Simplify 1 into 1 1540196431.199 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540196431.199 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540196431.199 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.199 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196431.199 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196431.199 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540196431.199 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540196431.199 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196431.199 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1540196431.200 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1540196431.200 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196431.200 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196431.200 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.200 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196431.200 * [misc]taylor: Taking taylor expansion of k in n 1540196431.200 * [misc]backup-simplify: Simplify k into k 1540196431.200 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196431.200 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196431.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.200 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1540196431.200 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1540196431.200 * [misc]taylor: Taking taylor expansion of -2 in n 1540196431.200 * [misc]backup-simplify: Simplify -2 into -2 1540196431.200 * [misc]taylor: Taking taylor expansion of n in n 1540196431.200 * [misc]backup-simplify: Simplify 0 into 0 1540196431.200 * [misc]backup-simplify: Simplify 1 into 1 1540196431.200 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1540196431.200 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540196431.200 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196431.200 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196431.200 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196431.201 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1540196431.201 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540196431.201 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1540196431.201 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1540196431.201 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196431.201 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196431.201 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.201 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196431.201 * [misc]taylor: Taking taylor expansion of k in k 1540196431.201 * [misc]backup-simplify: Simplify 0 into 0 1540196431.201 * [misc]backup-simplify: Simplify 1 into 1 1540196431.201 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196431.201 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196431.201 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196431.201 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1540196431.201 * [misc]taylor: Taking taylor expansion of (log -2) in k 1540196431.201 * [misc]taylor: Taking taylor expansion of -2 in k 1540196431.201 * [misc]backup-simplify: Simplify -2 into -2 1540196431.201 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1540196431.201 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196431.201 * [misc]taylor: Taking taylor expansion of n in k 1540196431.201 * [misc]backup-simplify: Simplify n into n 1540196431.201 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196431.202 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196431.202 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196431.202 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540196431.202 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1540196431.202 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1540196431.202 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540196431.202 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1540196431.203 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1540196431.204 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1540196431.204 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196431.204 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196431.204 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.205 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196431.205 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1540196431.206 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196431.206 * [misc]taylor: Taking taylor expansion of 0 in k 1540196431.206 * [misc]backup-simplify: Simplify 0 into 0 1540196431.206 * [misc]backup-simplify: Simplify 0 into 0 1540196431.206 * [misc]backup-simplify: Simplify 0 into 0 1540196431.206 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196431.210 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1540196431.210 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196431.210 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196431.210 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.211 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196431.211 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1540196431.213 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196431.213 * [misc]taylor: Taking taylor expansion of 0 in k 1540196431.213 * [misc]backup-simplify: Simplify 0 into 0 1540196431.213 * [misc]backup-simplify: Simplify 0 into 0 1540196431.213 * [misc]backup-simplify: Simplify 0 into 0 1540196431.213 * [misc]backup-simplify: Simplify 0 into 0 1540196431.214 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196431.220 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1540196431.220 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196431.221 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540196431.221 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196431.221 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1540196431.222 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1540196431.225 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540196431.225 * [misc]taylor: Taking taylor expansion of 0 in k 1540196431.225 * [misc]backup-simplify: Simplify 0 into 0 1540196431.225 * [misc]backup-simplify: Simplify 0 into 0 1540196431.226 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1540196431.226 * * * [misc]progress: simplifying candidates 1540196431.226 * * * * [misc]progress: [ 1 / 250 ] simplifiying candidate # 1540196431.226 * * * * [misc]progress: [ 2 / 250 ] simplifiying candidate # 1540196431.226 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1540196431.226 * * [misc]simplify: iters left: 3 (5 enodes) 1540196431.228 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1540196431.228 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196431.228 * * * * [misc]progress: [ 3 / 250 ] simplifiying candidate # 1540196431.228 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540196431.228 * * [misc]simplify: iters left: 5 (6 enodes) 1540196431.230 * * [misc]simplify: iters left: 4 (8 enodes) 1540196431.232 * * [misc]simplify: iters left: 3 (11 enodes) 1540196431.235 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540196431.235 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196431.235 * * * * [misc]progress: [ 4 / 250 ] simplifiying candidate # 1540196431.235 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540196431.235 * * [misc]simplify: iters left: 5 (6 enodes) 1540196431.237 * * [misc]simplify: iters left: 4 (8 enodes) 1540196431.239 * * [misc]simplify: iters left: 3 (11 enodes) 1540196431.242 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540196431.242 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196431.242 * * * * [misc]progress: [ 5 / 250 ] simplifiying candidate # 1540196431.242 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540196431.243 * * [misc]simplify: iters left: 4 (5 enodes) 1540196431.244 * * [misc]simplify: iters left: 3 (7 enodes) 1540196431.246 * * [misc]simplify: iters left: 2 (10 enodes) 1540196431.248 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540196431.248 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196431.249 * * * * [misc]progress: [ 6 / 250 ] simplifiying candidate # 1540196431.249 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540196431.249 * * [misc]simplify: iters left: 5 (6 enodes) 1540196431.251 * * [misc]simplify: iters left: 4 (8 enodes) 1540196431.254 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540196431.254 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196431.254 * * * * [misc]progress: [ 7 / 250 ] simplifiying candidate # 1540196431.254 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540196431.254 * * [misc]simplify: iters left: 5 (6 enodes) 1540196431.256 * * [misc]simplify: iters left: 4 (8 enodes) 1540196431.258 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540196431.258 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196431.258 * * * * [misc]progress: [ 8 / 250 ] simplifiying candidate # 1540196431.258 * * * * [misc]progress: [ 9 / 250 ] simplifiying candidate # 1540196431.258 * * * * [misc]progress: [ 10 / 250 ] simplifiying candidate # 1540196431.258 * * * * [misc]progress: [ 11 / 250 ] simplifiying candidate # 1540196431.258 * * * * [misc]progress: [ 12 / 250 ] simplifiying candidate # 1540196431.258 * * * * [misc]progress: [ 13 / 250 ] simplifiying candidate # 1540196431.258 * * * * [misc]progress: [ 14 / 250 ] simplifiying candidate # 1540196431.259 * * * * [misc]progress: [ 15 / 250 ] simplifiying candidate # 1540196431.259 * * * * [misc]progress: [ 16 / 250 ] simplifiying candidate # 1540196431.259 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1540196431.259 * * [misc]simplify: iters left: 6 (12 enodes) 1540196431.263 * * [misc]simplify: iters left: 5 (21 enodes) 1540196431.270 * * [misc]simplify: iters left: 4 (44 enodes) 1540196431.286 * * [misc]simplify: iters left: 3 (125 enodes) 1540196431.341 * * [misc]simplify: iters left: 2 (343 enodes) 1540196431.500 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1540196431.500 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1540196431.500 * * * * [misc]progress: [ 17 / 250 ] simplifiying candidate # 1540196431.500 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1540196431.500 * * [misc]simplify: iters left: 6 (12 enodes) 1540196431.505 * * [misc]simplify: iters left: 5 (21 enodes) 1540196431.511 * * [misc]simplify: iters left: 4 (44 enodes) 1540196431.531 * * [misc]simplify: iters left: 3 (125 enodes) 1540196431.587 * * [misc]simplify: iters left: 2 (343 enodes) 1540196431.702 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1540196431.702 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1540196431.702 * * * * [misc]progress: [ 18 / 250 ] simplifiying candidate # 1540196431.703 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1540196431.703 * * [misc]simplify: iters left: 6 (12 enodes) 1540196431.704 * * [misc]simplify: iters left: 5 (19 enodes) 1540196431.707 * * [misc]simplify: iters left: 4 (32 enodes) 1540196431.712 * * [misc]simplify: iters left: 3 (67 enodes) 1540196431.739 * * [misc]simplify: iters left: 2 (194 enodes) 1540196431.831 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1540196431.831 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1540196431.831 * * * * [misc]progress: [ 19 / 250 ] simplifiying candidate # 1540196431.832 * * * * [misc]progress: [ 20 / 250 ] simplifiying candidate # 1540196431.832 * * * * [misc]progress: [ 21 / 250 ] simplifiying candidate # 1540196431.832 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196431.832 * * [misc]simplify: iters left: 6 (14 enodes) 1540196431.834 * * [misc]simplify: iters left: 5 (26 enodes) 1540196431.840 * * [misc]simplify: iters left: 4 (58 enodes) 1540196431.850 * * [misc]simplify: iters left: 3 (117 enodes) 1540196431.872 * * [misc]simplify: iters left: 2 (193 enodes) 1540196431.919 * * [misc]simplify: iters left: 1 (263 enodes) 1540196432.021 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.021 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.021 * * * * [misc]progress: [ 22 / 250 ] simplifiying candidate # 1540196432.022 * * * * [misc]progress: [ 23 / 250 ] simplifiying candidate # 1540196432.022 * * * * [misc]progress: [ 24 / 250 ] simplifiying candidate # 1540196432.022 * * * * [misc]progress: [ 25 / 250 ] simplifiying candidate # 1540196432.022 * * * * [misc]progress: [ 26 / 250 ] simplifiying candidate # 1540196432.022 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1540196432.022 * * [misc]simplify: iters left: 6 (10 enodes) 1540196432.024 * * [misc]simplify: iters left: 5 (14 enodes) 1540196432.025 * * [misc]simplify: iters left: 4 (16 enodes) 1540196432.027 * * [misc]simplify: iters left: 3 (17 enodes) 1540196432.030 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1540196432.030 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196432.030 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540196432.030 * * [misc]simplify: iters left: 6 (10 enodes) 1540196432.031 * * [misc]simplify: iters left: 5 (13 enodes) 1540196432.033 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540196432.033 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1540196432.033 * * * * [misc]progress: [ 27 / 250 ] simplifiying candidate # 1540196432.033 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1540196432.033 * * [misc]simplify: iters left: 6 (10 enodes) 1540196432.035 * * [misc]simplify: iters left: 5 (14 enodes) 1540196432.037 * * [misc]simplify: iters left: 4 (16 enodes) 1540196432.039 * * [misc]simplify: iters left: 3 (17 enodes) 1540196432.041 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1540196432.041 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196432.041 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540196432.041 * * [misc]simplify: iters left: 6 (10 enodes) 1540196432.043 * * [misc]simplify: iters left: 5 (13 enodes) 1540196432.044 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540196432.044 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1540196432.044 * * * * [misc]progress: [ 28 / 250 ] simplifiying candidate # 1540196432.045 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540196432.045 * * [misc]simplify: iters left: 6 (11 enodes) 1540196432.046 * * [misc]simplify: iters left: 5 (15 enodes) 1540196432.050 * * [misc]simplify: iters left: 4 (20 enodes) 1540196432.055 * * [misc]simplify: iters left: 3 (21 enodes) 1540196432.061 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540196432.061 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196432.061 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196432.061 * * [misc]simplify: iters left: 6 (9 enodes) 1540196432.064 * * [misc]simplify: iters left: 5 (11 enodes) 1540196432.067 * * [misc]simplify: iters left: 4 (14 enodes) 1540196432.072 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196432.072 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196432.072 * * * * [misc]progress: [ 29 / 250 ] simplifiying candidate # 1540196432.072 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196432.072 * * [misc]simplify: iters left: 6 (14 enodes) 1540196432.076 * * [misc]simplify: iters left: 5 (23 enodes) 1540196432.083 * * [misc]simplify: iters left: 4 (35 enodes) 1540196432.093 * * [misc]simplify: iters left: 3 (38 enodes) 1540196432.099 * * [misc]simplify: iters left: 2 (41 enodes) 1540196432.104 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196432.104 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.104 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.104 * * [misc]simplify: iters left: 6 (12 enodes) 1540196432.106 * * [misc]simplify: iters left: 5 (15 enodes) 1540196432.107 * * [misc]simplify: iters left: 4 (18 enodes) 1540196432.110 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.110 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.110 * * * * [misc]progress: [ 30 / 250 ] simplifiying candidate # 1540196432.110 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.110 * * [misc]simplify: iters left: 6 (13 enodes) 1540196432.112 * * [misc]simplify: iters left: 5 (18 enodes) 1540196432.114 * * [misc]simplify: iters left: 4 (23 enodes) 1540196432.117 * * [misc]simplify: iters left: 3 (24 enodes) 1540196432.120 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.120 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.120 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.120 * * [misc]simplify: iters left: 6 (12 enodes) 1540196432.122 * * [misc]simplify: iters left: 5 (15 enodes) 1540196432.124 * * [misc]simplify: iters left: 4 (18 enodes) 1540196432.126 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.126 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.126 * * * * [misc]progress: [ 31 / 250 ] simplifiying candidate # 1540196432.127 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1540196432.127 * * [misc]simplify: iters left: 6 (6 enodes) 1540196432.128 * * [misc]simplify: iters left: 5 (10 enodes) 1540196432.130 * * [misc]simplify: iters left: 4 (16 enodes) 1540196432.132 * * [misc]simplify: iters left: 3 (18 enodes) 1540196432.133 * * [misc]simplify: iters left: 2 (23 enodes) 1540196432.136 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540196432.136 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196432.136 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196432.136 * * [misc]simplify: iters left: 6 (11 enodes) 1540196432.138 * * [misc]simplify: iters left: 5 (14 enodes) 1540196432.140 * * [misc]simplify: iters left: 4 (17 enodes) 1540196432.144 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196432.144 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196432.144 * * * * [misc]progress: [ 32 / 250 ] simplifiying candidate # 1540196432.144 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1540196432.145 * * [misc]simplify: iters left: 5 (9 enodes) 1540196432.147 * * [misc]simplify: iters left: 4 (11 enodes) 1540196432.150 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1540196432.150 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196432.150 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540196432.150 * * [misc]simplify: iters left: 6 (10 enodes) 1540196432.153 * * [misc]simplify: iters left: 5 (13 enodes) 1540196432.157 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540196432.157 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1540196432.157 * * * * [misc]progress: [ 33 / 250 ] simplifiying candidate # 1540196432.157 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1540196432.157 * * [misc]simplify: iters left: 5 (9 enodes) 1540196432.160 * * [misc]simplify: iters left: 4 (11 enodes) 1540196432.163 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1540196432.163 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196432.163 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540196432.163 * * [misc]simplify: iters left: 6 (10 enodes) 1540196432.166 * * [misc]simplify: iters left: 5 (13 enodes) 1540196432.169 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540196432.169 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1540196432.170 * * * * [misc]progress: [ 34 / 250 ] simplifiying candidate # 1540196432.170 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540196432.170 * * [misc]simplify: iters left: 6 (10 enodes) 1540196432.174 * * [misc]simplify: iters left: 5 (12 enodes) 1540196432.177 * * [misc]simplify: iters left: 4 (15 enodes) 1540196432.181 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540196432.181 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196432.182 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196432.182 * * [misc]simplify: iters left: 6 (9 enodes) 1540196432.185 * * [misc]simplify: iters left: 5 (11 enodes) 1540196432.188 * * [misc]simplify: iters left: 4 (14 enodes) 1540196432.192 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196432.192 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196432.192 * * * * [misc]progress: [ 35 / 250 ] simplifiying candidate # 1540196432.192 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196432.192 * * [misc]simplify: iters left: 6 (13 enodes) 1540196432.196 * * [misc]simplify: iters left: 5 (18 enodes) 1540196432.201 * * [misc]simplify: iters left: 4 (21 enodes) 1540196432.207 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196432.207 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.208 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.208 * * [misc]simplify: iters left: 6 (12 enodes) 1540196432.211 * * [misc]simplify: iters left: 5 (15 enodes) 1540196432.215 * * [misc]simplify: iters left: 4 (18 enodes) 1540196432.220 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.220 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.220 * * * * [misc]progress: [ 36 / 250 ] simplifiying candidate # 1540196432.221 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.221 * * [misc]simplify: iters left: 6 (12 enodes) 1540196432.224 * * [misc]simplify: iters left: 5 (15 enodes) 1540196432.228 * * [misc]simplify: iters left: 4 (18 enodes) 1540196432.230 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.230 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.230 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.230 * * [misc]simplify: iters left: 6 (12 enodes) 1540196432.232 * * [misc]simplify: iters left: 5 (15 enodes) 1540196432.234 * * [misc]simplify: iters left: 4 (18 enodes) 1540196432.236 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.236 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.236 * * * * [misc]progress: [ 37 / 250 ] simplifiying candidate # 1540196432.237 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1540196432.237 * * [misc]simplify: iters left: 4 (5 enodes) 1540196432.237 * * [misc]simplify: iters left: 3 (7 enodes) 1540196432.239 * * [misc]simplify: iters left: 2 (9 enodes) 1540196432.239 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540196432.239 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196432.240 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196432.240 * * [misc]simplify: iters left: 6 (11 enodes) 1540196432.241 * * [misc]simplify: iters left: 5 (14 enodes) 1540196432.243 * * [misc]simplify: iters left: 4 (17 enodes) 1540196432.245 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196432.245 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196432.245 * * * * [misc]progress: [ 38 / 250 ] simplifiying candidate # 1540196432.245 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1540196432.245 * * [misc]simplify: iters left: 5 (7 enodes) 1540196432.246 * * [misc]simplify: iters left: 4 (11 enodes) 1540196432.248 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1540196432.248 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540196432.248 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540196432.248 * * [misc]simplify: iters left: 6 (9 enodes) 1540196432.249 * * [misc]simplify: iters left: 5 (12 enodes) 1540196432.251 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540196432.251 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1540196432.251 * * * * [misc]progress: [ 39 / 250 ] simplifiying candidate # 1540196432.251 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1540196432.251 * * [misc]simplify: iters left: 5 (7 enodes) 1540196432.253 * * [misc]simplify: iters left: 4 (11 enodes) 1540196432.256 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1540196432.256 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540196432.256 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540196432.257 * * [misc]simplify: iters left: 6 (9 enodes) 1540196432.259 * * [misc]simplify: iters left: 5 (12 enodes) 1540196432.263 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540196432.263 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1540196432.263 * * * * [misc]progress: [ 40 / 250 ] simplifiying candidate # 1540196432.263 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1540196432.263 * * [misc]simplify: iters left: 6 (9 enodes) 1540196432.266 * * [misc]simplify: iters left: 5 (13 enodes) 1540196432.269 * * [misc]simplify: iters left: 4 (16 enodes) 1540196432.274 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1540196432.274 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196432.274 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540196432.274 * * [misc]simplify: iters left: 6 (8 enodes) 1540196432.277 * * [misc]simplify: iters left: 5 (10 enodes) 1540196432.280 * * [misc]simplify: iters left: 4 (13 enodes) 1540196432.283 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540196432.284 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196432.284 * * * * [misc]progress: [ 41 / 250 ] simplifiying candidate # 1540196432.284 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196432.284 * * [misc]simplify: iters left: 6 (12 enodes) 1540196432.288 * * [misc]simplify: iters left: 5 (19 enodes) 1540196432.293 * * [misc]simplify: iters left: 4 (22 enodes) 1540196432.299 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196432.299 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.300 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.300 * * [misc]simplify: iters left: 6 (11 enodes) 1540196432.304 * * [misc]simplify: iters left: 5 (14 enodes) 1540196432.308 * * [misc]simplify: iters left: 4 (17 enodes) 1540196432.312 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.312 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.312 * * * * [misc]progress: [ 42 / 250 ] simplifiying candidate # 1540196432.313 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.313 * * [misc]simplify: iters left: 6 (11 enodes) 1540196432.316 * * [misc]simplify: iters left: 5 (16 enodes) 1540196432.320 * * [misc]simplify: iters left: 4 (19 enodes) 1540196432.325 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196432.325 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.325 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.326 * * [misc]simplify: iters left: 6 (11 enodes) 1540196432.329 * * [misc]simplify: iters left: 5 (14 enodes) 1540196432.333 * * [misc]simplify: iters left: 4 (17 enodes) 1540196432.338 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196432.338 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196432.338 * * * * [misc]progress: [ 43 / 250 ] simplifiying candidate # 1540196432.338 * [enter]simplify: Simplifying (/ 1 1) 1540196432.338 * * [misc]simplify: iters left: 2 (2 enodes) 1540196432.339 * * [misc]simplify: iters left: 1 (4 enodes) 1540196432.340 * [exit]simplify: Simplified to 1 1540196432.340 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196432.340 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196432.340 * * [misc]simplify: iters left: 6 (10 enodes) 1540196432.343 * * [misc]simplify: iters left: 5 (13 enodes) 1540196432.347 * * [misc]simplify: iters left: 4 (16 enodes) 1540196432.349 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196432.349 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196432.349 * * * * [misc]progress: [ 44 / 250 ] simplifiying candidate # 1540196432.349 * * * * [misc]progress: [ 45 / 250 ] simplifiying candidate # 1540196432.349 * * * * [misc]progress: [ 46 / 250 ] simplifiying candidate # 1540196432.349 * * * * [misc]progress: [ 47 / 250 ] simplifiying candidate # 1540196432.349 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540196432.350 * * [misc]simplify: iters left: 5 (7 enodes) 1540196432.351 * * [misc]simplify: iters left: 4 (10 enodes) 1540196432.352 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540196432.352 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1540196432.352 * * * * [misc]progress: [ 48 / 250 ] simplifiying candidate # 1540196432.352 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540196432.352 * * [misc]simplify: iters left: 5 (7 enodes) 1540196432.353 * * [misc]simplify: iters left: 4 (10 enodes) 1540196432.355 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540196432.355 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1540196432.355 * * * * [misc]progress: [ 49 / 250 ] simplifiying candidate # 1540196432.355 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1540196432.355 * * [misc]simplify: iters left: 5 (6 enodes) 1540196432.356 * * [misc]simplify: iters left: 4 (8 enodes) 1540196432.357 * * [misc]simplify: iters left: 3 (11 enodes) 1540196432.358 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1540196432.358 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1540196432.358 * * * * [misc]progress: [ 50 / 250 ] simplifiying candidate # 1540196432.359 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540196432.359 * * [misc]simplify: iters left: 6 (9 enodes) 1540196432.360 * * [misc]simplify: iters left: 5 (12 enodes) 1540196432.362 * * [misc]simplify: iters left: 4 (15 enodes) 1540196432.363 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540196432.364 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196432.364 * * * * [misc]progress: [ 51 / 250 ] simplifiying candidate # 1540196432.364 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540196432.364 * * [misc]simplify: iters left: 6 (9 enodes) 1540196432.365 * * [misc]simplify: iters left: 5 (12 enodes) 1540196432.367 * * [misc]simplify: iters left: 4 (15 enodes) 1540196432.370 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1540196432.370 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196432.370 * * * * [misc]progress: [ 52 / 250 ] simplifiying candidate # 1540196432.371 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1540196432.371 * * [misc]simplify: iters left: 5 (8 enodes) 1540196432.373 * * [misc]simplify: iters left: 4 (11 enodes) 1540196432.376 * * [misc]simplify: iters left: 3 (14 enodes) 1540196432.380 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1540196432.380 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196432.380 * * * * [misc]progress: [ 53 / 250 ] simplifiying candidate # 1540196432.380 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540196432.380 * * [misc]simplify: iters left: 4 (4 enodes) 1540196432.382 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540196432.382 * [misc]simplify: Simplified (2 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)))))) 1540196432.382 * * * * [misc]progress: [ 54 / 250 ] simplifiying candidate # 1540196432.382 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540196432.382 * * [misc]simplify: iters left: 2 (3 enodes) 1540196432.383 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540196432.383 * [misc]simplify: Simplified (2 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)))))) 1540196432.383 * * * * [misc]progress: [ 55 / 250 ] simplifiying candidate # 1540196432.383 * * * * [misc]progress: [ 56 / 250 ] simplifiying candidate # 1540196432.383 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1540196432.383 * * [misc]simplify: iters left: 3 (6 enodes) 1540196432.385 * * [misc]simplify: iters left: 2 (7 enodes) 1540196432.387 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1540196432.387 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1540196432.387 * * * * [misc]progress: [ 57 / 250 ] simplifiying candidate # 1540196432.387 * * * * [misc]progress: [ 58 / 250 ] simplifiying candidate # 1540196432.387 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540196432.388 * * [misc]simplify: iters left: 6 (16 enodes) 1540196432.390 * * [misc]simplify: iters left: 5 (30 enodes) 1540196432.395 * * [misc]simplify: iters left: 4 (66 enodes) 1540196432.412 * * [misc]simplify: iters left: 3 (209 enodes) 1540196432.544 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1540196432.545 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1540196432.545 * * * * [misc]progress: [ 59 / 250 ] simplifiying candidate # 1540196432.545 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540196432.545 * * [misc]simplify: iters left: 6 (16 enodes) 1540196432.551 * * [misc]simplify: iters left: 5 (30 enodes) 1540196432.560 * * [misc]simplify: iters left: 4 (66 enodes) 1540196432.591 * * [misc]simplify: iters left: 3 (209 enodes) 1540196432.688 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1540196432.688 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1540196432.688 * * * * [misc]progress: [ 60 / 250 ] simplifiying candidate # 1540196432.688 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196432.688 * * [misc]simplify: iters left: 6 (16 enodes) 1540196432.691 * * [misc]simplify: iters left: 5 (28 enodes) 1540196432.695 * * [misc]simplify: iters left: 4 (54 enodes) 1540196432.705 * * [misc]simplify: iters left: 3 (132 enodes) 1540196432.749 * * [misc]simplify: iters left: 2 (467 enodes) 1540196433.072 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1540196433.072 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1540196433.072 * * * * [misc]progress: [ 61 / 250 ] simplifiying candidate # 1540196433.072 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196433.073 * * [misc]simplify: iters left: 6 (15 enodes) 1540196433.077 * * [misc]simplify: iters left: 5 (24 enodes) 1540196433.084 * * [misc]simplify: iters left: 4 (40 enodes) 1540196433.097 * * [misc]simplify: iters left: 3 (81 enodes) 1540196433.123 * * [misc]simplify: iters left: 2 (186 enodes) 1540196433.215 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1540196433.215 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1540196433.215 * * * * [misc]progress: [ 62 / 250 ] simplifiying candidate # 1540196433.215 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540196433.215 * * [misc]simplify: iters left: 6 (16 enodes) 1540196433.218 * * [misc]simplify: iters left: 5 (31 enodes) 1540196433.225 * * [misc]simplify: iters left: 4 (62 enodes) 1540196433.248 * * [misc]simplify: iters left: 3 (183 enodes) 1540196433.374 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1540196433.374 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1540196433.374 * * * * [misc]progress: [ 63 / 250 ] simplifiying candidate # 1540196433.375 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1540196433.375 * * [misc]simplify: iters left: 6 (16 enodes) 1540196433.380 * * [misc]simplify: iters left: 5 (31 enodes) 1540196433.390 * * [misc]simplify: iters left: 4 (62 enodes) 1540196433.416 * * [misc]simplify: iters left: 3 (183 enodes) 1540196433.520 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1540196433.520 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1540196433.520 * * * * [misc]progress: [ 64 / 250 ] simplifiying candidate # 1540196433.520 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196433.520 * * [misc]simplify: iters left: 6 (16 enodes) 1540196433.525 * * [misc]simplify: iters left: 5 (29 enodes) 1540196433.534 * * [misc]simplify: iters left: 4 (50 enodes) 1540196433.550 * * [misc]simplify: iters left: 3 (106 enodes) 1540196433.623 * * [misc]simplify: iters left: 2 (416 enodes) 1540196433.849 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1540196433.849 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1540196433.849 * * * * [misc]progress: [ 65 / 250 ] simplifiying candidate # 1540196433.850 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196433.850 * * [misc]simplify: iters left: 6 (15 enodes) 1540196433.854 * * [misc]simplify: iters left: 5 (25 enodes) 1540196433.861 * * [misc]simplify: iters left: 4 (36 enodes) 1540196433.871 * * [misc]simplify: iters left: 3 (59 enodes) 1540196433.882 * * [misc]simplify: iters left: 2 (151 enodes) 1540196433.959 * * [misc]simplify: iters left: 1 (498 enodes) 1540196434.352 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1540196434.352 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1540196434.352 * * * * [misc]progress: [ 66 / 250 ] simplifiying candidate # 1540196434.353 * * * * [misc]progress: [ 67 / 250 ] simplifiying candidate # 1540196434.353 * * * * [misc]progress: [ 68 / 250 ] simplifiying candidate # 1540196434.353 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196434.353 * * [misc]simplify: iters left: 6 (19 enodes) 1540196434.360 * * [misc]simplify: iters left: 5 (36 enodes) 1540196434.370 * * [misc]simplify: iters left: 4 (112 enodes) 1540196434.399 * * [misc]simplify: iters left: 3 (434 enodes) 1540196434.841 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1540196434.841 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1540196434.841 * * * * [misc]progress: [ 69 / 250 ] simplifiying candidate # 1540196434.841 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196434.841 * * [misc]simplify: iters left: 6 (17 enodes) 1540196434.844 * * [misc]simplify: iters left: 5 (35 enodes) 1540196434.850 * * [misc]simplify: iters left: 4 (92 enodes) 1540196434.871 * * [misc]simplify: iters left: 3 (254 enodes) 1540196435.096 * [exit]simplify: Simplified to (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.096 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196435.097 * * * * [misc]progress: [ 70 / 250 ] simplifiying candidate # 1540196435.097 * * * * [misc]progress: [ 71 / 250 ] simplifiying candidate # 1540196435.097 * * * * [misc]progress: [ 72 / 250 ] simplifiying candidate # 1540196435.097 * * * * [misc]progress: [ 73 / 250 ] simplifiying candidate # 1540196435.097 * * * * [misc]progress: [ 74 / 250 ] simplifiying candidate # 1540196435.097 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196435.097 * * [misc]simplify: iters left: 6 (15 enodes) 1540196435.099 * * [misc]simplify: iters left: 5 (21 enodes) 1540196435.102 * * [misc]simplify: iters left: 4 (24 enodes) 1540196435.105 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.105 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196435.105 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.105 * * [misc]simplify: iters left: 6 (15 enodes) 1540196435.108 * * [misc]simplify: iters left: 5 (19 enodes) 1540196435.110 * * [misc]simplify: iters left: 4 (20 enodes) 1540196435.113 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.113 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196435.113 * * * * [misc]progress: [ 75 / 250 ] simplifiying candidate # 1540196435.113 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.113 * * [misc]simplify: iters left: 6 (14 enodes) 1540196435.117 * * [misc]simplify: iters left: 5 (18 enodes) 1540196435.119 * * [misc]simplify: iters left: 4 (21 enodes) 1540196435.122 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.122 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196435.122 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.122 * * [misc]simplify: iters left: 6 (15 enodes) 1540196435.124 * * [misc]simplify: iters left: 5 (19 enodes) 1540196435.126 * * [misc]simplify: iters left: 4 (20 enodes) 1540196435.129 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196435.129 * * * * [misc]progress: [ 76 / 250 ] simplifiying candidate # 1540196435.129 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540196435.129 * * [misc]simplify: iters left: 6 (13 enodes) 1540196435.131 * * [misc]simplify: iters left: 5 (20 enodes) 1540196435.134 * * [misc]simplify: iters left: 4 (27 enodes) 1540196435.137 * * [misc]simplify: iters left: 3 (39 enodes) 1540196435.142 * * [misc]simplify: iters left: 2 (44 enodes) 1540196435.147 * * [misc]simplify: iters left: 1 (51 enodes) 1540196435.154 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1540196435.154 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196435.154 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196435.154 * * [misc]simplify: iters left: 6 (13 enodes) 1540196435.156 * * [misc]simplify: iters left: 5 (18 enodes) 1540196435.159 * * [misc]simplify: iters left: 4 (21 enodes) 1540196435.161 * * [misc]simplify: iters left: 3 (23 enodes) 1540196435.164 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540196435.164 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1540196435.164 * * * * [misc]progress: [ 77 / 250 ] simplifiying candidate # 1540196435.164 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540196435.164 * * [misc]simplify: iters left: 6 (13 enodes) 1540196435.166 * * [misc]simplify: iters left: 5 (20 enodes) 1540196435.169 * * [misc]simplify: iters left: 4 (27 enodes) 1540196435.172 * * [misc]simplify: iters left: 3 (39 enodes) 1540196435.177 * * [misc]simplify: iters left: 2 (44 enodes) 1540196435.182 * * [misc]simplify: iters left: 1 (51 enodes) 1540196435.189 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1540196435.189 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196435.189 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196435.189 * * [misc]simplify: iters left: 6 (13 enodes) 1540196435.191 * * [misc]simplify: iters left: 5 (18 enodes) 1540196435.193 * * [misc]simplify: iters left: 4 (21 enodes) 1540196435.196 * * [misc]simplify: iters left: 3 (23 enodes) 1540196435.199 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540196435.199 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1540196435.199 * * * * [misc]progress: [ 78 / 250 ] simplifiying candidate # 1540196435.199 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196435.199 * * [misc]simplify: iters left: 6 (14 enodes) 1540196435.203 * * [misc]simplify: iters left: 5 (21 enodes) 1540196435.210 * * [misc]simplify: iters left: 4 (31 enodes) 1540196435.218 * * [misc]simplify: iters left: 3 (43 enodes) 1540196435.229 * * [misc]simplify: iters left: 2 (48 enodes) 1540196435.240 * * [misc]simplify: iters left: 1 (55 enodes) 1540196435.254 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1540196435.254 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196435.254 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196435.255 * * [misc]simplify: iters left: 6 (13 enodes) 1540196435.259 * * [misc]simplify: iters left: 5 (18 enodes) 1540196435.263 * * [misc]simplify: iters left: 4 (22 enodes) 1540196435.269 * * [misc]simplify: iters left: 3 (24 enodes) 1540196435.275 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540196435.275 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1540196435.275 * * * * [misc]progress: [ 79 / 250 ] simplifiying candidate # 1540196435.275 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196435.276 * * [misc]simplify: iters left: 6 (17 enodes) 1540196435.280 * * [misc]simplify: iters left: 5 (29 enodes) 1540196435.284 * * [misc]simplify: iters left: 4 (50 enodes) 1540196435.291 * * [misc]simplify: iters left: 3 (73 enodes) 1540196435.303 * * [misc]simplify: iters left: 2 (103 enodes) 1540196435.321 * * [misc]simplify: iters left: 1 (127 enodes) 1540196435.343 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1540196435.343 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196435.343 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.344 * * [misc]simplify: iters left: 6 (16 enodes) 1540196435.346 * * [misc]simplify: iters left: 5 (22 enodes) 1540196435.350 * * [misc]simplify: iters left: 4 (26 enodes) 1540196435.356 * * [misc]simplify: iters left: 3 (28 enodes) 1540196435.363 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196435.364 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196435.364 * * * * [misc]progress: [ 80 / 250 ] simplifiying candidate # 1540196435.364 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.364 * * [misc]simplify: iters left: 6 (16 enodes) 1540196435.369 * * [misc]simplify: iters left: 5 (24 enodes) 1540196435.375 * * [misc]simplify: iters left: 4 (34 enodes) 1540196435.384 * * [misc]simplify: iters left: 3 (46 enodes) 1540196435.397 * * [misc]simplify: iters left: 2 (51 enodes) 1540196435.409 * * [misc]simplify: iters left: 1 (58 enodes) 1540196435.423 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1540196435.423 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196435.424 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.424 * * [misc]simplify: iters left: 6 (16 enodes) 1540196435.428 * * [misc]simplify: iters left: 5 (22 enodes) 1540196435.434 * * [misc]simplify: iters left: 4 (26 enodes) 1540196435.441 * * [misc]simplify: iters left: 3 (28 enodes) 1540196435.448 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196435.448 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196435.448 * * * * [misc]progress: [ 81 / 250 ] simplifiying candidate # 1540196435.448 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540196435.448 * * [misc]simplify: iters left: 6 (10 enodes) 1540196435.451 * * [misc]simplify: iters left: 5 (17 enodes) 1540196435.456 * * [misc]simplify: iters left: 4 (28 enodes) 1540196435.463 * * [misc]simplify: iters left: 3 (33 enodes) 1540196435.469 * * [misc]simplify: iters left: 2 (50 enodes) 1540196435.484 * * [misc]simplify: iters left: 1 (65 enodes) 1540196435.500 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540196435.500 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196435.501 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196435.501 * * [misc]simplify: iters left: 6 (15 enodes) 1540196435.505 * * [misc]simplify: iters left: 5 (21 enodes) 1540196435.511 * * [misc]simplify: iters left: 4 (25 enodes) 1540196435.517 * * [misc]simplify: iters left: 3 (27 enodes) 1540196435.524 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1540196435.524 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1540196435.524 * * * * [misc]progress: [ 82 / 250 ] simplifiying candidate # 1540196435.524 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540196435.524 * * [misc]simplify: iters left: 6 (12 enodes) 1540196435.528 * * [misc]simplify: iters left: 5 (17 enodes) 1540196435.532 * * [misc]simplify: iters left: 4 (20 enodes) 1540196435.539 * * [misc]simplify: iters left: 3 (22 enodes) 1540196435.544 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1540196435.544 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196435.544 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196435.545 * * [misc]simplify: iters left: 6 (13 enodes) 1540196435.548 * * [misc]simplify: iters left: 5 (18 enodes) 1540196435.553 * * [misc]simplify: iters left: 4 (21 enodes) 1540196435.558 * * [misc]simplify: iters left: 3 (23 enodes) 1540196435.564 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196435.565 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196435.565 * * * * [misc]progress: [ 83 / 250 ] simplifiying candidate # 1540196435.565 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540196435.565 * * [misc]simplify: iters left: 6 (12 enodes) 1540196435.569 * * [misc]simplify: iters left: 5 (17 enodes) 1540196435.573 * * [misc]simplify: iters left: 4 (20 enodes) 1540196435.578 * * [misc]simplify: iters left: 3 (22 enodes) 1540196435.583 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1540196435.583 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196435.583 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196435.583 * * [misc]simplify: iters left: 6 (13 enodes) 1540196435.587 * * [misc]simplify: iters left: 5 (18 enodes) 1540196435.592 * * [misc]simplify: iters left: 4 (21 enodes) 1540196435.598 * * [misc]simplify: iters left: 3 (23 enodes) 1540196435.604 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196435.604 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196435.604 * * * * [misc]progress: [ 84 / 250 ] simplifiying candidate # 1540196435.604 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196435.604 * * [misc]simplify: iters left: 6 (13 enodes) 1540196435.608 * * [misc]simplify: iters left: 5 (18 enodes) 1540196435.613 * * [misc]simplify: iters left: 4 (24 enodes) 1540196435.620 * * [misc]simplify: iters left: 3 (26 enodes) 1540196435.626 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540196435.626 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196435.626 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196435.626 * * [misc]simplify: iters left: 6 (13 enodes) 1540196435.630 * * [misc]simplify: iters left: 5 (18 enodes) 1540196435.634 * * [misc]simplify: iters left: 4 (22 enodes) 1540196435.640 * * [misc]simplify: iters left: 3 (24 enodes) 1540196435.646 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196435.646 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196435.646 * * * * [misc]progress: [ 85 / 250 ] simplifiying candidate # 1540196435.646 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196435.646 * * [misc]simplify: iters left: 6 (16 enodes) 1540196435.651 * * [misc]simplify: iters left: 5 (24 enodes) 1540196435.658 * * [misc]simplify: iters left: 4 (32 enodes) 1540196435.666 * * [misc]simplify: iters left: 3 (41 enodes) 1540196435.677 * * [misc]simplify: iters left: 2 (49 enodes) 1540196435.689 * * [misc]simplify: iters left: 1 (51 enodes) 1540196435.702 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540196435.702 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196435.702 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.702 * * [misc]simplify: iters left: 6 (16 enodes) 1540196435.707 * * [misc]simplify: iters left: 5 (22 enodes) 1540196435.713 * * [misc]simplify: iters left: 4 (26 enodes) 1540196435.719 * * [misc]simplify: iters left: 3 (28 enodes) 1540196435.723 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196435.723 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196435.723 * * * * [misc]progress: [ 86 / 250 ] simplifiying candidate # 1540196435.723 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.723 * * [misc]simplify: iters left: 6 (15 enodes) 1540196435.725 * * [misc]simplify: iters left: 5 (21 enodes) 1540196435.728 * * [misc]simplify: iters left: 4 (27 enodes) 1540196435.731 * * [misc]simplify: iters left: 3 (29 enodes) 1540196435.734 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540196435.734 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196435.735 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.735 * * [misc]simplify: iters left: 6 (16 enodes) 1540196435.737 * * [misc]simplify: iters left: 5 (22 enodes) 1540196435.740 * * [misc]simplify: iters left: 4 (26 enodes) 1540196435.743 * * [misc]simplify: iters left: 3 (28 enodes) 1540196435.747 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196435.747 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196435.747 * * * * [misc]progress: [ 87 / 250 ] simplifiying candidate # 1540196435.747 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1540196435.747 * * [misc]simplify: iters left: 6 (9 enodes) 1540196435.748 * * [misc]simplify: iters left: 5 (14 enodes) 1540196435.751 * * [misc]simplify: iters left: 4 (21 enodes) 1540196435.753 * * [misc]simplify: iters left: 3 (23 enodes) 1540196435.755 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196435.755 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196435.756 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196435.756 * * [misc]simplify: iters left: 6 (15 enodes) 1540196435.758 * * [misc]simplify: iters left: 5 (21 enodes) 1540196435.760 * * [misc]simplify: iters left: 4 (25 enodes) 1540196435.764 * * [misc]simplify: iters left: 3 (27 enodes) 1540196435.767 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1540196435.767 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1540196435.767 * * * * [misc]progress: [ 88 / 250 ] simplifiying candidate # 1540196435.767 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1540196435.767 * * [misc]simplify: iters left: 6 (10 enodes) 1540196435.769 * * [misc]simplify: iters left: 5 (17 enodes) 1540196435.771 * * [misc]simplify: iters left: 4 (19 enodes) 1540196435.777 * * [misc]simplify: iters left: 3 (28 enodes) 1540196435.783 * * [misc]simplify: iters left: 2 (31 enodes) 1540196435.789 * * [misc]simplify: iters left: 1 (33 enodes) 1540196435.792 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1540196435.792 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540196435.792 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540196435.792 * * [misc]simplify: iters left: 6 (12 enodes) 1540196435.794 * * [misc]simplify: iters left: 5 (17 enodes) 1540196435.796 * * [misc]simplify: iters left: 4 (20 enodes) 1540196435.799 * * [misc]simplify: iters left: 3 (22 enodes) 1540196435.802 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540196435.802 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540196435.802 * * * * [misc]progress: [ 89 / 250 ] simplifiying candidate # 1540196435.802 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1540196435.802 * * [misc]simplify: iters left: 6 (10 enodes) 1540196435.804 * * [misc]simplify: iters left: 5 (17 enodes) 1540196435.806 * * [misc]simplify: iters left: 4 (19 enodes) 1540196435.808 * * [misc]simplify: iters left: 3 (28 enodes) 1540196435.812 * * [misc]simplify: iters left: 2 (31 enodes) 1540196435.815 * * [misc]simplify: iters left: 1 (33 enodes) 1540196435.818 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1540196435.818 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540196435.818 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540196435.818 * * [misc]simplify: iters left: 6 (12 enodes) 1540196435.821 * * [misc]simplify: iters left: 5 (17 enodes) 1540196435.825 * * [misc]simplify: iters left: 4 (20 enodes) 1540196435.829 * * [misc]simplify: iters left: 3 (22 enodes) 1540196435.832 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540196435.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540196435.832 * * * * [misc]progress: [ 90 / 250 ] simplifiying candidate # 1540196435.832 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540196435.832 * * [misc]simplify: iters left: 6 (12 enodes) 1540196435.833 * * [misc]simplify: iters left: 5 (19 enodes) 1540196435.836 * * [misc]simplify: iters left: 4 (24 enodes) 1540196435.839 * * [misc]simplify: iters left: 3 (33 enodes) 1540196435.843 * * [misc]simplify: iters left: 2 (36 enodes) 1540196435.847 * * [misc]simplify: iters left: 1 (39 enodes) 1540196435.851 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1540196435.851 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196435.851 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196435.851 * * [misc]simplify: iters left: 6 (12 enodes) 1540196435.853 * * [misc]simplify: iters left: 5 (17 enodes) 1540196435.855 * * [misc]simplify: iters left: 4 (21 enodes) 1540196435.859 * * [misc]simplify: iters left: 3 (23 enodes) 1540196435.862 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196435.862 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196435.862 * * * * [misc]progress: [ 91 / 250 ] simplifiying candidate # 1540196435.862 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196435.862 * * [misc]simplify: iters left: 6 (15 enodes) 1540196435.864 * * [misc]simplify: iters left: 5 (25 enodes) 1540196435.867 * * [misc]simplify: iters left: 4 (32 enodes) 1540196435.872 * * [misc]simplify: iters left: 3 (47 enodes) 1540196435.878 * * [misc]simplify: iters left: 2 (62 enodes) 1540196435.890 * * [misc]simplify: iters left: 1 (76 enodes) 1540196435.906 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1540196435.906 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196435.906 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.906 * * [misc]simplify: iters left: 6 (15 enodes) 1540196435.908 * * [misc]simplify: iters left: 5 (21 enodes) 1540196435.911 * * [misc]simplify: iters left: 4 (25 enodes) 1540196435.914 * * [misc]simplify: iters left: 3 (27 enodes) 1540196435.917 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196435.917 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196435.917 * * * * [misc]progress: [ 92 / 250 ] simplifiying candidate # 1540196435.918 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.918 * * [misc]simplify: iters left: 6 (14 enodes) 1540196435.920 * * [misc]simplify: iters left: 5 (22 enodes) 1540196435.922 * * [misc]simplify: iters left: 4 (27 enodes) 1540196435.926 * * [misc]simplify: iters left: 3 (36 enodes) 1540196435.933 * * [misc]simplify: iters left: 2 (39 enodes) 1540196435.941 * * [misc]simplify: iters left: 1 (42 enodes) 1540196435.952 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1540196435.952 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196435.952 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196435.952 * * [misc]simplify: iters left: 6 (15 enodes) 1540196435.957 * * [misc]simplify: iters left: 5 (21 enodes) 1540196435.963 * * [misc]simplify: iters left: 4 (25 enodes) 1540196435.969 * * [misc]simplify: iters left: 3 (27 enodes) 1540196435.976 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196435.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196435.976 * * * * [misc]progress: [ 93 / 250 ] simplifiying candidate # 1540196435.976 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1540196435.976 * * [misc]simplify: iters left: 4 (6 enodes) 1540196435.978 * * [misc]simplify: iters left: 3 (9 enodes) 1540196435.980 * [exit]simplify: Simplified to (sqrt PI) 1540196435.980 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196435.981 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196435.981 * * [misc]simplify: iters left: 6 (14 enodes) 1540196435.985 * * [misc]simplify: iters left: 5 (20 enodes) 1540196435.990 * * [misc]simplify: iters left: 4 (24 enodes) 1540196435.997 * * [misc]simplify: iters left: 3 (26 enodes) 1540196436.003 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196436.003 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196436.004 * * * * [misc]progress: [ 94 / 250 ] simplifiying candidate # 1540196436.004 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1540196436.004 * * [misc]simplify: iters left: 3 (5 enodes) 1540196436.005 * * [misc]simplify: iters left: 2 (8 enodes) 1540196436.008 * * [misc]simplify: iters left: 1 (10 enodes) 1540196436.010 * [exit]simplify: Simplified to (sqrt PI) 1540196436.010 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196436.010 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196436.010 * * [misc]simplify: iters left: 6 (14 enodes) 1540196436.014 * * [misc]simplify: iters left: 5 (20 enodes) 1540196436.020 * * [misc]simplify: iters left: 4 (24 enodes) 1540196436.023 * * [misc]simplify: iters left: 3 (26 enodes) 1540196436.026 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196436.026 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196436.026 * * * * [misc]progress: [ 95 / 250 ] simplifiying candidate # 1540196436.026 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1540196436.026 * * [misc]simplify: iters left: 3 (6 enodes) 1540196436.027 * * [misc]simplify: iters left: 2 (7 enodes) 1540196436.028 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540196436.028 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196436.028 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540196436.028 * * [misc]simplify: iters left: 6 (14 enodes) 1540196436.030 * * [misc]simplify: iters left: 5 (22 enodes) 1540196436.033 * * [misc]simplify: iters left: 4 (26 enodes) 1540196436.036 * * [misc]simplify: iters left: 3 (36 enodes) 1540196436.041 * * [misc]simplify: iters left: 2 (38 enodes) 1540196436.044 * * [misc]simplify: iters left: 1 (43 enodes) 1540196436.049 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1540196436.049 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1540196436.049 * * * * [misc]progress: [ 96 / 250 ] simplifiying candidate # 1540196436.049 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1540196436.049 * * [misc]simplify: iters left: 6 (11 enodes) 1540196436.051 * * [misc]simplify: iters left: 5 (16 enodes) 1540196436.053 * * [misc]simplify: iters left: 4 (19 enodes) 1540196436.055 * * [misc]simplify: iters left: 3 (21 enodes) 1540196436.057 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1540196436.057 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1540196436.058 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1540196436.058 * * [misc]simplify: iters left: 6 (10 enodes) 1540196436.060 * * [misc]simplify: iters left: 5 (13 enodes) 1540196436.061 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1540196436.061 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1540196436.062 * * * * [misc]progress: [ 97 / 250 ] simplifiying candidate # 1540196436.062 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196436.062 * * [misc]simplify: iters left: 6 (15 enodes) 1540196436.065 * * [misc]simplify: iters left: 5 (21 enodes) 1540196436.070 * * [misc]simplify: iters left: 4 (24 enodes) 1540196436.077 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.078 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196436.078 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.078 * * [misc]simplify: iters left: 6 (15 enodes) 1540196436.082 * * [misc]simplify: iters left: 5 (19 enodes) 1540196436.087 * * [misc]simplify: iters left: 4 (20 enodes) 1540196436.093 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.093 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196436.093 * * * * [misc]progress: [ 98 / 250 ] simplifiying candidate # 1540196436.093 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.093 * * [misc]simplify: iters left: 6 (14 enodes) 1540196436.097 * * [misc]simplify: iters left: 5 (18 enodes) 1540196436.102 * * [misc]simplify: iters left: 4 (21 enodes) 1540196436.105 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.105 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196436.106 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.106 * * [misc]simplify: iters left: 6 (15 enodes) 1540196436.108 * * [misc]simplify: iters left: 5 (19 enodes) 1540196436.110 * * [misc]simplify: iters left: 4 (20 enodes) 1540196436.113 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.113 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196436.113 * * * * [misc]progress: [ 99 / 250 ] simplifiying candidate # 1540196436.113 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540196436.113 * * [misc]simplify: iters left: 6 (13 enodes) 1540196436.115 * * [misc]simplify: iters left: 5 (20 enodes) 1540196436.117 * * [misc]simplify: iters left: 4 (27 enodes) 1540196436.121 * * [misc]simplify: iters left: 3 (39 enodes) 1540196436.126 * * [misc]simplify: iters left: 2 (44 enodes) 1540196436.131 * * [misc]simplify: iters left: 1 (51 enodes) 1540196436.144 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1540196436.144 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196436.144 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196436.144 * * [misc]simplify: iters left: 6 (13 enodes) 1540196436.148 * * [misc]simplify: iters left: 5 (18 enodes) 1540196436.153 * * [misc]simplify: iters left: 4 (21 enodes) 1540196436.158 * * [misc]simplify: iters left: 3 (23 enodes) 1540196436.164 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540196436.164 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1540196436.164 * * * * [misc]progress: [ 100 / 250 ] simplifiying candidate # 1540196436.165 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540196436.165 * * [misc]simplify: iters left: 6 (13 enodes) 1540196436.169 * * [misc]simplify: iters left: 5 (20 enodes) 1540196436.175 * * [misc]simplify: iters left: 4 (27 enodes) 1540196436.182 * * [misc]simplify: iters left: 3 (39 enodes) 1540196436.192 * * [misc]simplify: iters left: 2 (44 enodes) 1540196436.202 * * [misc]simplify: iters left: 1 (51 enodes) 1540196436.214 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1540196436.214 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196436.215 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196436.215 * * [misc]simplify: iters left: 6 (13 enodes) 1540196436.218 * * [misc]simplify: iters left: 5 (18 enodes) 1540196436.223 * * [misc]simplify: iters left: 4 (21 enodes) 1540196436.229 * * [misc]simplify: iters left: 3 (23 enodes) 1540196436.235 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540196436.235 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1540196436.235 * * * * [misc]progress: [ 101 / 250 ] simplifiying candidate # 1540196436.235 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196436.235 * * [misc]simplify: iters left: 6 (14 enodes) 1540196436.240 * * [misc]simplify: iters left: 5 (21 enodes) 1540196436.245 * * [misc]simplify: iters left: 4 (31 enodes) 1540196436.254 * * [misc]simplify: iters left: 3 (43 enodes) 1540196436.265 * * [misc]simplify: iters left: 2 (48 enodes) 1540196436.276 * * [misc]simplify: iters left: 1 (55 enodes) 1540196436.289 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1540196436.289 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196436.290 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196436.290 * * [misc]simplify: iters left: 6 (13 enodes) 1540196436.294 * * [misc]simplify: iters left: 5 (18 enodes) 1540196436.298 * * [misc]simplify: iters left: 4 (22 enodes) 1540196436.304 * * [misc]simplify: iters left: 3 (24 enodes) 1540196436.310 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540196436.311 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1540196436.311 * * * * [misc]progress: [ 102 / 250 ] simplifiying candidate # 1540196436.311 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196436.311 * * [misc]simplify: iters left: 6 (17 enodes) 1540196436.317 * * [misc]simplify: iters left: 5 (29 enodes) 1540196436.326 * * [misc]simplify: iters left: 4 (50 enodes) 1540196436.340 * * [misc]simplify: iters left: 3 (73 enodes) 1540196436.361 * * [misc]simplify: iters left: 2 (103 enodes) 1540196436.376 * * [misc]simplify: iters left: 1 (127 enodes) 1540196436.402 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1540196436.402 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196436.403 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.403 * * [misc]simplify: iters left: 6 (16 enodes) 1540196436.408 * * [misc]simplify: iters left: 5 (22 enodes) 1540196436.413 * * [misc]simplify: iters left: 4 (26 enodes) 1540196436.421 * * [misc]simplify: iters left: 3 (28 enodes) 1540196436.428 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196436.428 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196436.428 * * * * [misc]progress: [ 103 / 250 ] simplifiying candidate # 1540196436.429 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.429 * * [misc]simplify: iters left: 6 (16 enodes) 1540196436.433 * * [misc]simplify: iters left: 5 (24 enodes) 1540196436.440 * * [misc]simplify: iters left: 4 (34 enodes) 1540196436.449 * * [misc]simplify: iters left: 3 (46 enodes) 1540196436.461 * * [misc]simplify: iters left: 2 (51 enodes) 1540196436.468 * * [misc]simplify: iters left: 1 (58 enodes) 1540196436.475 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1540196436.475 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196436.475 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.475 * * [misc]simplify: iters left: 6 (16 enodes) 1540196436.477 * * [misc]simplify: iters left: 5 (22 enodes) 1540196436.480 * * [misc]simplify: iters left: 4 (26 enodes) 1540196436.483 * * [misc]simplify: iters left: 3 (28 enodes) 1540196436.487 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196436.487 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196436.487 * * * * [misc]progress: [ 104 / 250 ] simplifiying candidate # 1540196436.487 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540196436.487 * * [misc]simplify: iters left: 6 (10 enodes) 1540196436.488 * * [misc]simplify: iters left: 5 (17 enodes) 1540196436.491 * * [misc]simplify: iters left: 4 (28 enodes) 1540196436.495 * * [misc]simplify: iters left: 3 (33 enodes) 1540196436.501 * * [misc]simplify: iters left: 2 (50 enodes) 1540196436.515 * * [misc]simplify: iters left: 1 (65 enodes) 1540196436.529 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540196436.529 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196436.529 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196436.529 * * [misc]simplify: iters left: 6 (15 enodes) 1540196436.532 * * [misc]simplify: iters left: 5 (21 enodes) 1540196436.534 * * [misc]simplify: iters left: 4 (25 enodes) 1540196436.537 * * [misc]simplify: iters left: 3 (27 enodes) 1540196436.541 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1540196436.541 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1540196436.541 * * * * [misc]progress: [ 105 / 250 ] simplifiying candidate # 1540196436.541 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540196436.541 * * [misc]simplify: iters left: 6 (12 enodes) 1540196436.543 * * [misc]simplify: iters left: 5 (17 enodes) 1540196436.545 * * [misc]simplify: iters left: 4 (20 enodes) 1540196436.547 * * [misc]simplify: iters left: 3 (22 enodes) 1540196436.550 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1540196436.550 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196436.550 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196436.550 * * [misc]simplify: iters left: 6 (13 enodes) 1540196436.552 * * [misc]simplify: iters left: 5 (18 enodes) 1540196436.554 * * [misc]simplify: iters left: 4 (21 enodes) 1540196436.558 * * [misc]simplify: iters left: 3 (23 enodes) 1540196436.564 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196436.564 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196436.565 * * * * [misc]progress: [ 106 / 250 ] simplifiying candidate # 1540196436.565 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540196436.565 * * [misc]simplify: iters left: 6 (12 enodes) 1540196436.568 * * [misc]simplify: iters left: 5 (17 enodes) 1540196436.573 * * [misc]simplify: iters left: 4 (20 enodes) 1540196436.578 * * [misc]simplify: iters left: 3 (22 enodes) 1540196436.583 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1540196436.583 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196436.584 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196436.584 * * [misc]simplify: iters left: 6 (13 enodes) 1540196436.588 * * [misc]simplify: iters left: 5 (18 enodes) 1540196436.592 * * [misc]simplify: iters left: 4 (21 enodes) 1540196436.598 * * [misc]simplify: iters left: 3 (23 enodes) 1540196436.604 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196436.604 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196436.604 * * * * [misc]progress: [ 107 / 250 ] simplifiying candidate # 1540196436.604 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196436.604 * * [misc]simplify: iters left: 6 (13 enodes) 1540196436.608 * * [misc]simplify: iters left: 5 (18 enodes) 1540196436.613 * * [misc]simplify: iters left: 4 (24 enodes) 1540196436.619 * * [misc]simplify: iters left: 3 (26 enodes) 1540196436.625 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540196436.625 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196436.625 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196436.626 * * [misc]simplify: iters left: 6 (13 enodes) 1540196436.630 * * [misc]simplify: iters left: 5 (18 enodes) 1540196436.633 * * [misc]simplify: iters left: 4 (22 enodes) 1540196436.636 * * [misc]simplify: iters left: 3 (24 enodes) 1540196436.639 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196436.639 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196436.639 * * * * [misc]progress: [ 108 / 250 ] simplifiying candidate # 1540196436.640 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196436.640 * * [misc]simplify: iters left: 6 (16 enodes) 1540196436.642 * * [misc]simplify: iters left: 5 (24 enodes) 1540196436.645 * * [misc]simplify: iters left: 4 (32 enodes) 1540196436.649 * * [misc]simplify: iters left: 3 (41 enodes) 1540196436.654 * * [misc]simplify: iters left: 2 (49 enodes) 1540196436.660 * * [misc]simplify: iters left: 1 (51 enodes) 1540196436.669 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540196436.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196436.669 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.670 * * [misc]simplify: iters left: 6 (16 enodes) 1540196436.674 * * [misc]simplify: iters left: 5 (22 enodes) 1540196436.680 * * [misc]simplify: iters left: 4 (26 enodes) 1540196436.686 * * [misc]simplify: iters left: 3 (28 enodes) 1540196436.693 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196436.693 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196436.693 * * * * [misc]progress: [ 109 / 250 ] simplifiying candidate # 1540196436.694 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.694 * * [misc]simplify: iters left: 6 (15 enodes) 1540196436.698 * * [misc]simplify: iters left: 5 (21 enodes) 1540196436.704 * * [misc]simplify: iters left: 4 (27 enodes) 1540196436.711 * * [misc]simplify: iters left: 3 (29 enodes) 1540196436.718 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540196436.718 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196436.718 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.718 * * [misc]simplify: iters left: 6 (16 enodes) 1540196436.723 * * [misc]simplify: iters left: 5 (22 enodes) 1540196436.729 * * [misc]simplify: iters left: 4 (26 enodes) 1540196436.736 * * [misc]simplify: iters left: 3 (28 enodes) 1540196436.743 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196436.743 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196436.743 * * * * [misc]progress: [ 110 / 250 ] simplifiying candidate # 1540196436.743 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1540196436.743 * * [misc]simplify: iters left: 6 (9 enodes) 1540196436.746 * * [misc]simplify: iters left: 5 (14 enodes) 1540196436.750 * * [misc]simplify: iters left: 4 (21 enodes) 1540196436.756 * * [misc]simplify: iters left: 3 (23 enodes) 1540196436.758 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196436.758 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196436.758 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196436.758 * * [misc]simplify: iters left: 6 (15 enodes) 1540196436.760 * * [misc]simplify: iters left: 5 (21 enodes) 1540196436.763 * * [misc]simplify: iters left: 4 (25 enodes) 1540196436.766 * * [misc]simplify: iters left: 3 (27 enodes) 1540196436.769 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1540196436.769 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1540196436.769 * * * * [misc]progress: [ 111 / 250 ] simplifiying candidate # 1540196436.769 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1540196436.770 * * [misc]simplify: iters left: 6 (10 enodes) 1540196436.771 * * [misc]simplify: iters left: 5 (17 enodes) 1540196436.773 * * [misc]simplify: iters left: 4 (19 enodes) 1540196436.776 * * [misc]simplify: iters left: 3 (28 enodes) 1540196436.779 * * [misc]simplify: iters left: 2 (31 enodes) 1540196436.783 * * [misc]simplify: iters left: 1 (33 enodes) 1540196436.786 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1540196436.786 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540196436.786 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540196436.786 * * [misc]simplify: iters left: 6 (12 enodes) 1540196436.789 * * [misc]simplify: iters left: 5 (17 enodes) 1540196436.793 * * [misc]simplify: iters left: 4 (20 enodes) 1540196436.798 * * [misc]simplify: iters left: 3 (22 enodes) 1540196436.804 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540196436.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540196436.804 * * * * [misc]progress: [ 112 / 250 ] simplifiying candidate # 1540196436.805 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1540196436.805 * * [misc]simplify: iters left: 6 (10 enodes) 1540196436.808 * * [misc]simplify: iters left: 5 (17 enodes) 1540196436.812 * * [misc]simplify: iters left: 4 (19 enodes) 1540196436.817 * * [misc]simplify: iters left: 3 (28 enodes) 1540196436.825 * * [misc]simplify: iters left: 2 (31 enodes) 1540196436.832 * * [misc]simplify: iters left: 1 (33 enodes) 1540196436.839 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1540196436.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540196436.839 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540196436.839 * * [misc]simplify: iters left: 6 (12 enodes) 1540196436.843 * * [misc]simplify: iters left: 5 (17 enodes) 1540196436.847 * * [misc]simplify: iters left: 4 (20 enodes) 1540196436.853 * * [misc]simplify: iters left: 3 (22 enodes) 1540196436.859 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540196436.859 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540196436.859 * * * * [misc]progress: [ 113 / 250 ] simplifiying candidate # 1540196436.859 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540196436.859 * * [misc]simplify: iters left: 6 (12 enodes) 1540196436.863 * * [misc]simplify: iters left: 5 (19 enodes) 1540196436.868 * * [misc]simplify: iters left: 4 (24 enodes) 1540196436.876 * * [misc]simplify: iters left: 3 (33 enodes) 1540196436.884 * * [misc]simplify: iters left: 2 (36 enodes) 1540196436.892 * * [misc]simplify: iters left: 1 (39 enodes) 1540196436.901 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1540196436.901 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196436.901 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196436.901 * * [misc]simplify: iters left: 6 (12 enodes) 1540196436.905 * * [misc]simplify: iters left: 5 (17 enodes) 1540196436.910 * * [misc]simplify: iters left: 4 (21 enodes) 1540196436.915 * * [misc]simplify: iters left: 3 (23 enodes) 1540196436.921 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196436.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196436.921 * * * * [misc]progress: [ 114 / 250 ] simplifiying candidate # 1540196436.921 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196436.921 * * [misc]simplify: iters left: 6 (15 enodes) 1540196436.926 * * [misc]simplify: iters left: 5 (25 enodes) 1540196436.933 * * [misc]simplify: iters left: 4 (32 enodes) 1540196436.942 * * [misc]simplify: iters left: 3 (47 enodes) 1540196436.949 * * [misc]simplify: iters left: 2 (62 enodes) 1540196436.957 * * [misc]simplify: iters left: 1 (76 enodes) 1540196436.968 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1540196436.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196436.969 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.969 * * [misc]simplify: iters left: 6 (15 enodes) 1540196436.971 * * [misc]simplify: iters left: 5 (21 enodes) 1540196436.973 * * [misc]simplify: iters left: 4 (25 enodes) 1540196436.977 * * [misc]simplify: iters left: 3 (27 enodes) 1540196436.980 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196436.980 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196436.980 * * * * [misc]progress: [ 115 / 250 ] simplifiying candidate # 1540196436.981 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196436.981 * * [misc]simplify: iters left: 6 (14 enodes) 1540196436.983 * * [misc]simplify: iters left: 5 (22 enodes) 1540196436.986 * * [misc]simplify: iters left: 4 (27 enodes) 1540196436.990 * * [misc]simplify: iters left: 3 (36 enodes) 1540196436.994 * * [misc]simplify: iters left: 2 (39 enodes) 1540196436.998 * * [misc]simplify: iters left: 1 (42 enodes) 1540196437.002 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1540196437.002 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196437.003 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196437.003 * * [misc]simplify: iters left: 6 (15 enodes) 1540196437.005 * * [misc]simplify: iters left: 5 (21 enodes) 1540196437.007 * * [misc]simplify: iters left: 4 (25 enodes) 1540196437.010 * * [misc]simplify: iters left: 3 (27 enodes) 1540196437.014 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196437.014 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196437.014 * * * * [misc]progress: [ 116 / 250 ] simplifiying candidate # 1540196437.014 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1540196437.014 * * [misc]simplify: iters left: 4 (6 enodes) 1540196437.015 * * [misc]simplify: iters left: 3 (9 enodes) 1540196437.016 * [exit]simplify: Simplified to (sqrt PI) 1540196437.016 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196437.016 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196437.016 * * [misc]simplify: iters left: 6 (14 enodes) 1540196437.018 * * [misc]simplify: iters left: 5 (20 enodes) 1540196437.021 * * [misc]simplify: iters left: 4 (24 enodes) 1540196437.024 * * [misc]simplify: iters left: 3 (26 enodes) 1540196437.030 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196437.030 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196437.030 * * * * [misc]progress: [ 117 / 250 ] simplifiying candidate # 1540196437.031 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1540196437.031 * * [misc]simplify: iters left: 3 (5 enodes) 1540196437.032 * * [misc]simplify: iters left: 2 (8 enodes) 1540196437.035 * * [misc]simplify: iters left: 1 (10 enodes) 1540196437.036 * [exit]simplify: Simplified to (sqrt PI) 1540196437.037 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196437.037 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196437.037 * * [misc]simplify: iters left: 6 (14 enodes) 1540196437.041 * * [misc]simplify: iters left: 5 (20 enodes) 1540196437.047 * * [misc]simplify: iters left: 4 (24 enodes) 1540196437.053 * * [misc]simplify: iters left: 3 (26 enodes) 1540196437.060 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196437.060 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196437.060 * * * * [misc]progress: [ 118 / 250 ] simplifiying candidate # 1540196437.060 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1540196437.060 * * [misc]simplify: iters left: 3 (6 enodes) 1540196437.062 * * [misc]simplify: iters left: 2 (7 enodes) 1540196437.064 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540196437.064 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196437.064 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540196437.064 * * [misc]simplify: iters left: 6 (14 enodes) 1540196437.068 * * [misc]simplify: iters left: 5 (22 enodes) 1540196437.074 * * [misc]simplify: iters left: 4 (26 enodes) 1540196437.081 * * [misc]simplify: iters left: 3 (36 enodes) 1540196437.091 * * [misc]simplify: iters left: 2 (38 enodes) 1540196437.098 * * [misc]simplify: iters left: 1 (43 enodes) 1540196437.107 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1540196437.107 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1540196437.107 * * * * [misc]progress: [ 119 / 250 ] simplifiying candidate # 1540196437.107 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1540196437.107 * * [misc]simplify: iters left: 6 (11 enodes) 1540196437.111 * * [misc]simplify: iters left: 5 (16 enodes) 1540196437.115 * * [misc]simplify: iters left: 4 (19 enodes) 1540196437.119 * * [misc]simplify: iters left: 3 (21 enodes) 1540196437.124 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1540196437.124 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1540196437.124 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1540196437.125 * * [misc]simplify: iters left: 6 (10 enodes) 1540196437.127 * * [misc]simplify: iters left: 5 (13 enodes) 1540196437.131 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1540196437.131 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1540196437.131 * * * * [misc]progress: [ 120 / 250 ] simplifiying candidate # 1540196437.132 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196437.132 * * [misc]simplify: iters left: 6 (17 enodes) 1540196437.137 * * [misc]simplify: iters left: 5 (26 enodes) 1540196437.144 * * [misc]simplify: iters left: 4 (38 enodes) 1540196437.154 * * [misc]simplify: iters left: 3 (41 enodes) 1540196437.164 * * [misc]simplify: iters left: 2 (44 enodes) 1540196437.176 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196437.176 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196437.176 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196437.177 * * [misc]simplify: iters left: 6 (15 enodes) 1540196437.181 * * [misc]simplify: iters left: 5 (18 enodes) 1540196437.186 * * [misc]simplify: iters left: 4 (21 enodes) 1540196437.192 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540196437.192 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540196437.192 * * * * [misc]progress: [ 121 / 250 ] simplifiying candidate # 1540196437.192 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196437.192 * * [misc]simplify: iters left: 6 (16 enodes) 1540196437.197 * * [misc]simplify: iters left: 5 (21 enodes) 1540196437.203 * * [misc]simplify: iters left: 4 (26 enodes) 1540196437.210 * * [misc]simplify: iters left: 3 (27 enodes) 1540196437.217 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196437.217 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196437.218 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196437.218 * * [misc]simplify: iters left: 6 (15 enodes) 1540196437.222 * * [misc]simplify: iters left: 5 (18 enodes) 1540196437.227 * * [misc]simplify: iters left: 4 (21 enodes) 1540196437.233 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540196437.233 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540196437.233 * * * * [misc]progress: [ 122 / 250 ] simplifiying candidate # 1540196437.234 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540196437.234 * * [misc]simplify: iters left: 6 (17 enodes) 1540196437.238 * * [misc]simplify: iters left: 5 (27 enodes) 1540196437.243 * * [misc]simplify: iters left: 4 (45 enodes) 1540196437.250 * * [misc]simplify: iters left: 3 (86 enodes) 1540196437.265 * * [misc]simplify: iters left: 2 (137 enodes) 1540196437.290 * * [misc]simplify: iters left: 1 (166 enodes) 1540196437.333 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196437.333 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196437.333 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196437.334 * * [misc]simplify: iters left: 6 (16 enodes) 1540196437.336 * * [misc]simplify: iters left: 5 (22 enodes) 1540196437.339 * * [misc]simplify: iters left: 4 (26 enodes) 1540196437.342 * * [misc]simplify: iters left: 3 (28 enodes) 1540196437.345 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196437.345 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196437.345 * * * * [misc]progress: [ 123 / 250 ] simplifiying candidate # 1540196437.345 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540196437.345 * * [misc]simplify: iters left: 6 (17 enodes) 1540196437.348 * * [misc]simplify: iters left: 5 (27 enodes) 1540196437.352 * * [misc]simplify: iters left: 4 (45 enodes) 1540196437.358 * * [misc]simplify: iters left: 3 (86 enodes) 1540196437.388 * * [misc]simplify: iters left: 2 (137 enodes) 1540196437.441 * * [misc]simplify: iters left: 1 (166 enodes) 1540196437.496 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196437.496 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196437.496 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196437.497 * * [misc]simplify: iters left: 6 (16 enodes) 1540196437.499 * * [misc]simplify: iters left: 5 (22 enodes) 1540196437.502 * * [misc]simplify: iters left: 4 (26 enodes) 1540196437.505 * * [misc]simplify: iters left: 3 (28 enodes) 1540196437.508 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196437.508 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196437.509 * * * * [misc]progress: [ 124 / 250 ] simplifiying candidate # 1540196437.509 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196437.509 * * [misc]simplify: iters left: 6 (16 enodes) 1540196437.511 * * [misc]simplify: iters left: 5 (24 enodes) 1540196437.516 * * [misc]simplify: iters left: 4 (42 enodes) 1540196437.522 * * [misc]simplify: iters left: 3 (83 enodes) 1540196437.537 * * [misc]simplify: iters left: 2 (134 enodes) 1540196437.562 * * [misc]simplify: iters left: 1 (163 enodes) 1540196437.596 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196437.596 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196437.596 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196437.596 * * [misc]simplify: iters left: 6 (13 enodes) 1540196437.598 * * [misc]simplify: iters left: 5 (17 enodes) 1540196437.600 * * [misc]simplify: iters left: 4 (23 enodes) 1540196437.603 * * [misc]simplify: iters left: 3 (25 enodes) 1540196437.606 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196437.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196437.606 * * * * [misc]progress: [ 125 / 250 ] simplifiying candidate # 1540196437.606 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196437.606 * * [misc]simplify: iters left: 6 (19 enodes) 1540196437.609 * * [misc]simplify: iters left: 5 (32 enodes) 1540196437.614 * * [misc]simplify: iters left: 4 (66 enodes) 1540196437.625 * * [misc]simplify: iters left: 3 (135 enodes) 1540196437.656 * * [misc]simplify: iters left: 2 (266 enodes) 1540196437.772 * * [misc]simplify: iters left: 1 (376 enodes) 1540196437.963 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1540196437.963 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196437.963 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196437.963 * * [misc]simplify: iters left: 6 (16 enodes) 1540196437.966 * * [misc]simplify: iters left: 5 (21 enodes) 1540196437.968 * * [misc]simplify: iters left: 4 (27 enodes) 1540196437.972 * * [misc]simplify: iters left: 3 (29 enodes) 1540196437.975 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540196437.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1540196437.976 * * * * [misc]progress: [ 126 / 250 ] simplifiying candidate # 1540196437.976 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196437.976 * * [misc]simplify: iters left: 6 (18 enodes) 1540196437.979 * * [misc]simplify: iters left: 5 (27 enodes) 1540196437.982 * * [misc]simplify: iters left: 4 (45 enodes) 1540196437.997 * * [misc]simplify: iters left: 3 (86 enodes) 1540196438.026 * * [misc]simplify: iters left: 2 (137 enodes) 1540196438.078 * * [misc]simplify: iters left: 1 (166 enodes) 1540196438.135 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196438.135 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196438.135 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196438.135 * * [misc]simplify: iters left: 6 (16 enodes) 1540196438.138 * * [misc]simplify: iters left: 5 (21 enodes) 1540196438.140 * * [misc]simplify: iters left: 4 (27 enodes) 1540196438.144 * * [misc]simplify: iters left: 3 (29 enodes) 1540196438.148 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540196438.148 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1540196438.148 * * * * [misc]progress: [ 127 / 250 ] simplifiying candidate # 1540196438.148 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540196438.148 * * [misc]simplify: iters left: 6 (15 enodes) 1540196438.150 * * [misc]simplify: iters left: 5 (25 enodes) 1540196438.155 * * [misc]simplify: iters left: 4 (46 enodes) 1540196438.162 * * [misc]simplify: iters left: 3 (70 enodes) 1540196438.174 * * [misc]simplify: iters left: 2 (144 enodes) 1540196438.227 * * [misc]simplify: iters left: 1 (214 enodes) 1540196438.262 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1540196438.262 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196438.262 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196438.262 * * [misc]simplify: iters left: 6 (15 enodes) 1540196438.265 * * [misc]simplify: iters left: 5 (20 enodes) 1540196438.267 * * [misc]simplify: iters left: 4 (26 enodes) 1540196438.271 * * [misc]simplify: iters left: 3 (28 enodes) 1540196438.274 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196438.274 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196438.274 * * * * [misc]progress: [ 128 / 250 ] simplifiying candidate # 1540196438.274 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540196438.274 * * [misc]simplify: iters left: 6 (16 enodes) 1540196438.277 * * [misc]simplify: iters left: 5 (24 enodes) 1540196438.280 * * [misc]simplify: iters left: 4 (34 enodes) 1540196438.286 * * [misc]simplify: iters left: 3 (46 enodes) 1540196438.291 * * [misc]simplify: iters left: 2 (58 enodes) 1540196438.299 * * [misc]simplify: iters left: 1 (64 enodes) 1540196438.316 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1540196438.316 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196438.316 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196438.316 * * [misc]simplify: iters left: 6 (16 enodes) 1540196438.321 * * [misc]simplify: iters left: 5 (22 enodes) 1540196438.327 * * [misc]simplify: iters left: 4 (26 enodes) 1540196438.334 * * [misc]simplify: iters left: 3 (28 enodes) 1540196438.341 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196438.341 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196438.341 * * * * [misc]progress: [ 129 / 250 ] simplifiying candidate # 1540196438.341 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540196438.341 * * [misc]simplify: iters left: 6 (16 enodes) 1540196438.346 * * [misc]simplify: iters left: 5 (24 enodes) 1540196438.353 * * [misc]simplify: iters left: 4 (34 enodes) 1540196438.362 * * [misc]simplify: iters left: 3 (46 enodes) 1540196438.375 * * [misc]simplify: iters left: 2 (58 enodes) 1540196438.389 * * [misc]simplify: iters left: 1 (64 enodes) 1540196438.407 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1540196438.407 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196438.408 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196438.408 * * [misc]simplify: iters left: 6 (16 enodes) 1540196438.412 * * [misc]simplify: iters left: 5 (22 enodes) 1540196438.420 * * [misc]simplify: iters left: 4 (26 enodes) 1540196438.425 * * [misc]simplify: iters left: 3 (28 enodes) 1540196438.428 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196438.428 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196438.428 * * * * [misc]progress: [ 130 / 250 ] simplifiying candidate # 1540196438.428 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196438.429 * * [misc]simplify: iters left: 6 (15 enodes) 1540196438.431 * * [misc]simplify: iters left: 5 (21 enodes) 1540196438.434 * * [misc]simplify: iters left: 4 (31 enodes) 1540196438.438 * * [misc]simplify: iters left: 3 (43 enodes) 1540196438.443 * * [misc]simplify: iters left: 2 (55 enodes) 1540196438.451 * * [misc]simplify: iters left: 1 (61 enodes) 1540196438.459 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196438.459 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196438.459 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196438.459 * * [misc]simplify: iters left: 6 (13 enodes) 1540196438.461 * * [misc]simplify: iters left: 5 (17 enodes) 1540196438.464 * * [misc]simplify: iters left: 4 (23 enodes) 1540196438.467 * * [misc]simplify: iters left: 3 (25 enodes) 1540196438.470 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196438.470 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196438.470 * * * * [misc]progress: [ 131 / 250 ] simplifiying candidate # 1540196438.470 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196438.470 * * [misc]simplify: iters left: 6 (18 enodes) 1540196438.473 * * [misc]simplify: iters left: 5 (27 enodes) 1540196438.477 * * [misc]simplify: iters left: 4 (41 enodes) 1540196438.483 * * [misc]simplify: iters left: 3 (67 enodes) 1540196438.505 * * [misc]simplify: iters left: 2 (106 enodes) 1540196438.543 * * [misc]simplify: iters left: 1 (137 enodes) 1540196438.589 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1540196438.589 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196438.589 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196438.589 * * [misc]simplify: iters left: 6 (16 enodes) 1540196438.594 * * [misc]simplify: iters left: 5 (21 enodes) 1540196438.600 * * [misc]simplify: iters left: 4 (27 enodes) 1540196438.607 * * [misc]simplify: iters left: 3 (29 enodes) 1540196438.614 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540196438.614 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1540196438.614 * * * * [misc]progress: [ 132 / 250 ] simplifiying candidate # 1540196438.615 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196438.615 * * [misc]simplify: iters left: 6 (17 enodes) 1540196438.620 * * [misc]simplify: iters left: 5 (24 enodes) 1540196438.627 * * [misc]simplify: iters left: 4 (34 enodes) 1540196438.635 * * [misc]simplify: iters left: 3 (46 enodes) 1540196438.641 * * [misc]simplify: iters left: 2 (58 enodes) 1540196438.648 * * [misc]simplify: iters left: 1 (64 enodes) 1540196438.657 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196438.657 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196438.658 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196438.658 * * [misc]simplify: iters left: 6 (16 enodes) 1540196438.660 * * [misc]simplify: iters left: 5 (21 enodes) 1540196438.663 * * [misc]simplify: iters left: 4 (27 enodes) 1540196438.669 * * [misc]simplify: iters left: 3 (29 enodes) 1540196438.677 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540196438.677 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1540196438.677 * * * * [misc]progress: [ 133 / 250 ] simplifiying candidate # 1540196438.677 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1540196438.677 * * [misc]simplify: iters left: 6 (14 enodes) 1540196438.682 * * [misc]simplify: iters left: 5 (22 enodes) 1540196438.689 * * [misc]simplify: iters left: 4 (33 enodes) 1540196438.694 * * [misc]simplify: iters left: 3 (44 enodes) 1540196438.699 * * [misc]simplify: iters left: 2 (45 enodes) 1540196438.703 * * [misc]simplify: iters left: 1 (51 enodes) 1540196438.708 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196438.708 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196438.708 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196438.708 * * [misc]simplify: iters left: 6 (15 enodes) 1540196438.711 * * [misc]simplify: iters left: 5 (20 enodes) 1540196438.713 * * [misc]simplify: iters left: 4 (26 enodes) 1540196438.716 * * [misc]simplify: iters left: 3 (28 enodes) 1540196438.722 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196438.722 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196438.722 * * * * [misc]progress: [ 134 / 250 ] simplifiying candidate # 1540196438.722 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1540196438.722 * * [misc]simplify: iters left: 6 (15 enodes) 1540196438.727 * * [misc]simplify: iters left: 5 (25 enodes) 1540196438.734 * * [misc]simplify: iters left: 4 (35 enodes) 1540196438.744 * * [misc]simplify: iters left: 3 (50 enodes) 1540196438.759 * * [misc]simplify: iters left: 2 (98 enodes) 1540196438.791 * * [misc]simplify: iters left: 1 (235 enodes) 1540196438.870 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1540196438.870 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540196438.870 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540196438.870 * * [misc]simplify: iters left: 6 (15 enodes) 1540196438.874 * * [misc]simplify: iters left: 5 (21 enodes) 1540196438.880 * * [misc]simplify: iters left: 4 (25 enodes) 1540196438.883 * * [misc]simplify: iters left: 3 (27 enodes) 1540196438.886 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540196438.886 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540196438.886 * * * * [misc]progress: [ 135 / 250 ] simplifiying candidate # 1540196438.886 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1540196438.887 * * [misc]simplify: iters left: 6 (15 enodes) 1540196438.889 * * [misc]simplify: iters left: 5 (25 enodes) 1540196438.892 * * [misc]simplify: iters left: 4 (35 enodes) 1540196438.897 * * [misc]simplify: iters left: 3 (50 enodes) 1540196438.904 * * [misc]simplify: iters left: 2 (98 enodes) 1540196438.949 * * [misc]simplify: iters left: 1 (235 enodes) 1540196439.072 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1540196439.073 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540196439.073 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540196439.073 * * [misc]simplify: iters left: 6 (15 enodes) 1540196439.078 * * [misc]simplify: iters left: 5 (21 enodes) 1540196439.083 * * [misc]simplify: iters left: 4 (25 enodes) 1540196439.090 * * [misc]simplify: iters left: 3 (27 enodes) 1540196439.096 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540196439.096 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540196439.096 * * * * [misc]progress: [ 136 / 250 ] simplifiying candidate # 1540196439.096 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540196439.097 * * [misc]simplify: iters left: 6 (14 enodes) 1540196439.098 * * [misc]simplify: iters left: 5 (22 enodes) 1540196439.101 * * [misc]simplify: iters left: 4 (32 enodes) 1540196439.106 * * [misc]simplify: iters left: 3 (47 enodes) 1540196439.113 * * [misc]simplify: iters left: 2 (95 enodes) 1540196439.146 * * [misc]simplify: iters left: 1 (215 enodes) 1540196439.231 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196439.231 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196439.231 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196439.231 * * [misc]simplify: iters left: 6 (12 enodes) 1540196439.233 * * [misc]simplify: iters left: 5 (16 enodes) 1540196439.235 * * [misc]simplify: iters left: 4 (22 enodes) 1540196439.238 * * [misc]simplify: iters left: 3 (24 enodes) 1540196439.242 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196439.242 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196439.242 * * * * [misc]progress: [ 137 / 250 ] simplifiying candidate # 1540196439.242 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196439.242 * * [misc]simplify: iters left: 6 (17 enodes) 1540196439.247 * * [misc]simplify: iters left: 5 (28 enodes) 1540196439.253 * * [misc]simplify: iters left: 4 (42 enodes) 1540196439.262 * * [misc]simplify: iters left: 3 (69 enodes) 1540196439.274 * * [misc]simplify: iters left: 2 (137 enodes) 1540196439.362 * * [misc]simplify: iters left: 1 (398 enodes) 1540196439.647 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196439.647 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196439.647 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196439.648 * * [misc]simplify: iters left: 6 (15 enodes) 1540196439.652 * * [misc]simplify: iters left: 5 (20 enodes) 1540196439.657 * * [misc]simplify: iters left: 4 (26 enodes) 1540196439.664 * * [misc]simplify: iters left: 3 (28 enodes) 1540196439.671 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196439.671 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196439.671 * * * * [misc]progress: [ 138 / 250 ] simplifiying candidate # 1540196439.671 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196439.671 * * [misc]simplify: iters left: 6 (16 enodes) 1540196439.674 * * [misc]simplify: iters left: 5 (25 enodes) 1540196439.677 * * [misc]simplify: iters left: 4 (35 enodes) 1540196439.682 * * [misc]simplify: iters left: 3 (50 enodes) 1540196439.689 * * [misc]simplify: iters left: 2 (73 enodes) 1540196439.703 * * [misc]simplify: iters left: 1 (148 enodes) 1540196439.773 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196439.773 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196439.774 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196439.774 * * [misc]simplify: iters left: 6 (15 enodes) 1540196439.778 * * [misc]simplify: iters left: 5 (20 enodes) 1540196439.784 * * [misc]simplify: iters left: 4 (26 enodes) 1540196439.791 * * [misc]simplify: iters left: 3 (28 enodes) 1540196439.798 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196439.798 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196439.798 * * * * [misc]progress: [ 139 / 250 ] simplifiying candidate # 1540196439.799 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1540196439.799 * * [misc]simplify: iters left: 6 (12 enodes) 1540196439.803 * * [misc]simplify: iters left: 5 (18 enodes) 1540196439.807 * * [misc]simplify: iters left: 4 (21 enodes) 1540196439.813 * * [misc]simplify: iters left: 3 (29 enodes) 1540196439.820 * * [misc]simplify: iters left: 2 (31 enodes) 1540196439.826 * * [misc]simplify: iters left: 1 (38 enodes) 1540196439.835 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196439.835 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196439.836 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196439.836 * * [misc]simplify: iters left: 6 (14 enodes) 1540196439.840 * * [misc]simplify: iters left: 5 (19 enodes) 1540196439.845 * * [misc]simplify: iters left: 4 (25 enodes) 1540196439.852 * * [misc]simplify: iters left: 3 (27 enodes) 1540196439.859 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196439.859 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196439.859 * * * * [misc]progress: [ 140 / 250 ] simplifiying candidate # 1540196439.859 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1540196439.859 * * [misc]simplify: iters left: 6 (11 enodes) 1540196439.863 * * [misc]simplify: iters left: 5 (17 enodes) 1540196439.868 * * [misc]simplify: iters left: 4 (26 enodes) 1540196439.874 * * [misc]simplify: iters left: 3 (28 enodes) 1540196439.878 * * [misc]simplify: iters left: 2 (33 enodes) 1540196439.881 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196439.881 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196439.882 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196439.882 * * [misc]simplify: iters left: 6 (14 enodes) 1540196439.884 * * [misc]simplify: iters left: 5 (19 enodes) 1540196439.886 * * [misc]simplify: iters left: 4 (25 enodes) 1540196439.890 * * [misc]simplify: iters left: 3 (27 enodes) 1540196439.893 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196439.893 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196439.893 * * * * [misc]progress: [ 141 / 250 ] simplifiying candidate # 1540196439.894 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1540196439.894 * * [misc]simplify: iters left: 6 (11 enodes) 1540196439.895 * * [misc]simplify: iters left: 5 (15 enodes) 1540196439.897 * * [misc]simplify: iters left: 4 (20 enodes) 1540196439.899 * * [misc]simplify: iters left: 3 (21 enodes) 1540196439.902 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196439.902 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196439.903 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540196439.903 * * [misc]simplify: iters left: 6 (14 enodes) 1540196439.906 * * [misc]simplify: iters left: 5 (21 enodes) 1540196439.912 * * [misc]simplify: iters left: 4 (27 enodes) 1540196439.919 * * [misc]simplify: iters left: 3 (37 enodes) 1540196439.929 * * [misc]simplify: iters left: 2 (39 enodes) 1540196439.936 * * [misc]simplify: iters left: 1 (44 enodes) 1540196439.942 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196439.943 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1540196439.943 * * * * [misc]progress: [ 142 / 250 ] simplifiying candidate # 1540196439.943 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1540196439.943 * * [misc]simplify: iters left: 6 (15 enodes) 1540196439.945 * * [misc]simplify: iters left: 5 (23 enodes) 1540196439.948 * * [misc]simplify: iters left: 4 (33 enodes) 1540196439.952 * * [misc]simplify: iters left: 3 (45 enodes) 1540196439.958 * * [misc]simplify: iters left: 2 (57 enodes) 1540196439.965 * * [misc]simplify: iters left: 1 (63 enodes) 1540196439.974 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196439.974 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1540196439.974 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1540196439.974 * * [misc]simplify: iters left: 6 (12 enodes) 1540196439.976 * * [misc]simplify: iters left: 5 (15 enodes) 1540196439.978 * * [misc]simplify: iters left: 4 (18 enodes) 1540196439.981 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1540196439.981 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1540196439.981 * * * * [misc]progress: [ 143 / 250 ] simplifiying candidate # 1540196439.981 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196439.981 * * [misc]simplify: iters left: 6 (16 enodes) 1540196439.984 * * [misc]simplify: iters left: 5 (21 enodes) 1540196439.987 * * [misc]simplify: iters left: 4 (24 enodes) 1540196439.990 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540196439.990 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196439.990 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196439.990 * * [misc]simplify: iters left: 6 (15 enodes) 1540196439.992 * * [misc]simplify: iters left: 5 (18 enodes) 1540196439.994 * * [misc]simplify: iters left: 4 (21 enodes) 1540196439.997 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540196439.997 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540196439.997 * * * * [misc]progress: [ 144 / 250 ] simplifiying candidate # 1540196439.998 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196439.998 * * [misc]simplify: iters left: 6 (15 enodes) 1540196440.000 * * [misc]simplify: iters left: 5 (18 enodes) 1540196440.005 * * [misc]simplify: iters left: 4 (21 enodes) 1540196440.011 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540196440.011 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196440.012 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196440.012 * * [misc]simplify: iters left: 6 (15 enodes) 1540196440.016 * * [misc]simplify: iters left: 5 (18 enodes) 1540196440.021 * * [misc]simplify: iters left: 4 (21 enodes) 1540196440.027 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540196440.027 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1540196440.027 * * * * [misc]progress: [ 145 / 250 ] simplifiying candidate # 1540196440.027 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540196440.028 * * [misc]simplify: iters left: 6 (16 enodes) 1540196440.032 * * [misc]simplify: iters left: 5 (24 enodes) 1540196440.039 * * [misc]simplify: iters left: 4 (34 enodes) 1540196440.048 * * [misc]simplify: iters left: 3 (46 enodes) 1540196440.060 * * [misc]simplify: iters left: 2 (51 enodes) 1540196440.072 * * [misc]simplify: iters left: 1 (58 enodes) 1540196440.087 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1540196440.087 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196440.087 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196440.087 * * [misc]simplify: iters left: 6 (16 enodes) 1540196440.092 * * [misc]simplify: iters left: 5 (22 enodes) 1540196440.098 * * [misc]simplify: iters left: 4 (26 enodes) 1540196440.105 * * [misc]simplify: iters left: 3 (28 enodes) 1540196440.110 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196440.110 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196440.110 * * * * [misc]progress: [ 146 / 250 ] simplifiying candidate # 1540196440.110 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540196440.110 * * [misc]simplify: iters left: 6 (16 enodes) 1540196440.113 * * [misc]simplify: iters left: 5 (24 enodes) 1540196440.116 * * [misc]simplify: iters left: 4 (34 enodes) 1540196440.120 * * [misc]simplify: iters left: 3 (46 enodes) 1540196440.126 * * [misc]simplify: iters left: 2 (51 enodes) 1540196440.132 * * [misc]simplify: iters left: 1 (58 enodes) 1540196440.139 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1540196440.139 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196440.139 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196440.139 * * [misc]simplify: iters left: 6 (16 enodes) 1540196440.144 * * [misc]simplify: iters left: 5 (22 enodes) 1540196440.150 * * [misc]simplify: iters left: 4 (26 enodes) 1540196440.157 * * [misc]simplify: iters left: 3 (28 enodes) 1540196440.164 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196440.164 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196440.164 * * * * [misc]progress: [ 147 / 250 ] simplifiying candidate # 1540196440.164 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196440.165 * * [misc]simplify: iters left: 6 (15 enodes) 1540196440.169 * * [misc]simplify: iters left: 5 (21 enodes) 1540196440.175 * * [misc]simplify: iters left: 4 (31 enodes) 1540196440.184 * * [misc]simplify: iters left: 3 (43 enodes) 1540196440.195 * * [misc]simplify: iters left: 2 (48 enodes) 1540196440.203 * * [misc]simplify: iters left: 1 (55 enodes) 1540196440.210 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196440.210 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196440.210 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196440.210 * * [misc]simplify: iters left: 6 (13 enodes) 1540196440.212 * * [misc]simplify: iters left: 5 (17 enodes) 1540196440.215 * * [misc]simplify: iters left: 4 (23 enodes) 1540196440.218 * * [misc]simplify: iters left: 3 (25 enodes) 1540196440.221 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196440.221 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196440.221 * * * * [misc]progress: [ 148 / 250 ] simplifiying candidate # 1540196440.221 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196440.221 * * [misc]simplify: iters left: 6 (18 enodes) 1540196440.224 * * [misc]simplify: iters left: 5 (29 enodes) 1540196440.228 * * [misc]simplify: iters left: 4 (50 enodes) 1540196440.235 * * [misc]simplify: iters left: 3 (73 enodes) 1540196440.249 * * [misc]simplify: iters left: 2 (103 enodes) 1540196440.275 * * [misc]simplify: iters left: 1 (127 enodes) 1540196440.304 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1540196440.304 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196440.304 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196440.305 * * [misc]simplify: iters left: 6 (16 enodes) 1540196440.309 * * [misc]simplify: iters left: 5 (21 enodes) 1540196440.315 * * [misc]simplify: iters left: 4 (27 enodes) 1540196440.322 * * [misc]simplify: iters left: 3 (29 enodes) 1540196440.326 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540196440.326 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1540196440.326 * * * * [misc]progress: [ 149 / 250 ] simplifiying candidate # 1540196440.327 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196440.327 * * [misc]simplify: iters left: 6 (17 enodes) 1540196440.329 * * [misc]simplify: iters left: 5 (24 enodes) 1540196440.332 * * [misc]simplify: iters left: 4 (34 enodes) 1540196440.337 * * [misc]simplify: iters left: 3 (46 enodes) 1540196440.342 * * [misc]simplify: iters left: 2 (51 enodes) 1540196440.348 * * [misc]simplify: iters left: 1 (58 enodes) 1540196440.360 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540196440.360 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196440.360 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196440.361 * * [misc]simplify: iters left: 6 (16 enodes) 1540196440.365 * * [misc]simplify: iters left: 5 (21 enodes) 1540196440.371 * * [misc]simplify: iters left: 4 (27 enodes) 1540196440.378 * * [misc]simplify: iters left: 3 (29 enodes) 1540196440.386 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1540196440.386 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1540196440.386 * * * * [misc]progress: [ 150 / 250 ] simplifiying candidate # 1540196440.387 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540196440.387 * * [misc]simplify: iters left: 6 (14 enodes) 1540196440.391 * * [misc]simplify: iters left: 5 (22 enodes) 1540196440.398 * * [misc]simplify: iters left: 4 (36 enodes) 1540196440.409 * * [misc]simplify: iters left: 3 (57 enodes) 1540196440.422 * * [misc]simplify: iters left: 2 (119 enodes) 1540196440.449 * * [misc]simplify: iters left: 1 (178 enodes) 1540196440.482 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196440.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196440.483 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196440.483 * * [misc]simplify: iters left: 6 (15 enodes) 1540196440.485 * * [misc]simplify: iters left: 5 (20 enodes) 1540196440.488 * * [misc]simplify: iters left: 4 (26 enodes) 1540196440.491 * * [misc]simplify: iters left: 3 (28 enodes) 1540196440.494 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196440.494 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196440.494 * * * * [misc]progress: [ 151 / 250 ] simplifiying candidate # 1540196440.495 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540196440.495 * * [misc]simplify: iters left: 6 (15 enodes) 1540196440.497 * * [misc]simplify: iters left: 5 (21 enodes) 1540196440.500 * * [misc]simplify: iters left: 4 (27 enodes) 1540196440.504 * * [misc]simplify: iters left: 3 (29 enodes) 1540196440.507 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1540196440.507 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196440.507 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196440.507 * * [misc]simplify: iters left: 6 (16 enodes) 1540196440.510 * * [misc]simplify: iters left: 5 (22 enodes) 1540196440.514 * * [misc]simplify: iters left: 4 (26 enodes) 1540196440.521 * * [misc]simplify: iters left: 3 (28 enodes) 1540196440.528 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196440.528 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196440.528 * * * * [misc]progress: [ 152 / 250 ] simplifiying candidate # 1540196440.528 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540196440.528 * * [misc]simplify: iters left: 6 (15 enodes) 1540196440.533 * * [misc]simplify: iters left: 5 (21 enodes) 1540196440.538 * * [misc]simplify: iters left: 4 (27 enodes) 1540196440.545 * * [misc]simplify: iters left: 3 (29 enodes) 1540196440.553 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1540196440.553 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196440.553 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196440.553 * * [misc]simplify: iters left: 6 (16 enodes) 1540196440.558 * * [misc]simplify: iters left: 5 (22 enodes) 1540196440.563 * * [misc]simplify: iters left: 4 (26 enodes) 1540196440.570 * * [misc]simplify: iters left: 3 (28 enodes) 1540196440.577 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196440.577 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196440.577 * * * * [misc]progress: [ 153 / 250 ] simplifiying candidate # 1540196440.578 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196440.578 * * [misc]simplify: iters left: 6 (14 enodes) 1540196440.582 * * [misc]simplify: iters left: 5 (18 enodes) 1540196440.587 * * [misc]simplify: iters left: 4 (24 enodes) 1540196440.593 * * [misc]simplify: iters left: 3 (26 enodes) 1540196440.599 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196440.599 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196440.600 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196440.600 * * [misc]simplify: iters left: 6 (13 enodes) 1540196440.603 * * [misc]simplify: iters left: 5 (17 enodes) 1540196440.608 * * [misc]simplify: iters left: 4 (23 enodes) 1540196440.614 * * [misc]simplify: iters left: 3 (25 enodes) 1540196440.618 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196440.618 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196440.618 * * * * [misc]progress: [ 154 / 250 ] simplifiying candidate # 1540196440.618 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196440.618 * * [misc]simplify: iters left: 6 (17 enodes) 1540196440.620 * * [misc]simplify: iters left: 5 (24 enodes) 1540196440.624 * * [misc]simplify: iters left: 4 (32 enodes) 1540196440.629 * * [misc]simplify: iters left: 3 (41 enodes) 1540196440.634 * * [misc]simplify: iters left: 2 (49 enodes) 1540196440.640 * * [misc]simplify: iters left: 1 (51 enodes) 1540196440.647 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196440.647 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196440.647 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196440.647 * * [misc]simplify: iters left: 6 (16 enodes) 1540196440.649 * * [misc]simplify: iters left: 5 (21 enodes) 1540196440.652 * * [misc]simplify: iters left: 4 (27 enodes) 1540196440.655 * * [misc]simplify: iters left: 3 (29 enodes) 1540196440.659 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540196440.659 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1540196440.659 * * * * [misc]progress: [ 155 / 250 ] simplifiying candidate # 1540196440.659 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196440.659 * * [misc]simplify: iters left: 6 (16 enodes) 1540196440.661 * * [misc]simplify: iters left: 5 (21 enodes) 1540196440.665 * * [misc]simplify: iters left: 4 (27 enodes) 1540196440.672 * * [misc]simplify: iters left: 3 (29 enodes) 1540196440.675 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540196440.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196440.676 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196440.676 * * [misc]simplify: iters left: 6 (16 enodes) 1540196440.678 * * [misc]simplify: iters left: 5 (21 enodes) 1540196440.681 * * [misc]simplify: iters left: 4 (27 enodes) 1540196440.684 * * [misc]simplify: iters left: 3 (29 enodes) 1540196440.688 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540196440.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1540196440.688 * * * * [misc]progress: [ 156 / 250 ] simplifiying candidate # 1540196440.688 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1540196440.688 * * [misc]simplify: iters left: 6 (13 enodes) 1540196440.690 * * [misc]simplify: iters left: 5 (19 enodes) 1540196440.693 * * [misc]simplify: iters left: 4 (29 enodes) 1540196440.696 * * [misc]simplify: iters left: 3 (33 enodes) 1540196440.701 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196440.701 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196440.702 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196440.702 * * [misc]simplify: iters left: 6 (15 enodes) 1540196440.706 * * [misc]simplify: iters left: 5 (20 enodes) 1540196440.711 * * [misc]simplify: iters left: 4 (26 enodes) 1540196440.718 * * [misc]simplify: iters left: 3 (28 enodes) 1540196440.725 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196440.725 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196440.725 * * * * [misc]progress: [ 157 / 250 ] simplifiying candidate # 1540196440.725 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1540196440.726 * * [misc]simplify: iters left: 6 (14 enodes) 1540196440.730 * * [misc]simplify: iters left: 5 (22 enodes) 1540196440.735 * * [misc]simplify: iters left: 4 (28 enodes) 1540196440.743 * * [misc]simplify: iters left: 3 (38 enodes) 1540196440.752 * * [misc]simplify: iters left: 2 (40 enodes) 1540196440.760 * * [misc]simplify: iters left: 1 (45 enodes) 1540196440.770 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540196440.770 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540196440.770 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540196440.770 * * [misc]simplify: iters left: 6 (15 enodes) 1540196440.774 * * [misc]simplify: iters left: 5 (21 enodes) 1540196440.780 * * [misc]simplify: iters left: 4 (25 enodes) 1540196440.786 * * [misc]simplify: iters left: 3 (27 enodes) 1540196440.792 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540196440.792 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540196440.792 * * * * [misc]progress: [ 158 / 250 ] simplifiying candidate # 1540196440.793 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1540196440.793 * * [misc]simplify: iters left: 6 (14 enodes) 1540196440.795 * * [misc]simplify: iters left: 5 (22 enodes) 1540196440.798 * * [misc]simplify: iters left: 4 (28 enodes) 1540196440.801 * * [misc]simplify: iters left: 3 (38 enodes) 1540196440.806 * * [misc]simplify: iters left: 2 (40 enodes) 1540196440.809 * * [misc]simplify: iters left: 1 (45 enodes) 1540196440.814 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540196440.814 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540196440.814 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540196440.814 * * [misc]simplify: iters left: 6 (15 enodes) 1540196440.816 * * [misc]simplify: iters left: 5 (21 enodes) 1540196440.821 * * [misc]simplify: iters left: 4 (25 enodes) 1540196440.827 * * [misc]simplify: iters left: 3 (27 enodes) 1540196440.834 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1540196440.834 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1540196440.834 * * * * [misc]progress: [ 159 / 250 ] simplifiying candidate # 1540196440.835 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540196440.835 * * [misc]simplify: iters left: 6 (13 enodes) 1540196440.838 * * [misc]simplify: iters left: 5 (19 enodes) 1540196440.844 * * [misc]simplify: iters left: 4 (25 enodes) 1540196440.851 * * [misc]simplify: iters left: 3 (35 enodes) 1540196440.860 * * [misc]simplify: iters left: 2 (37 enodes) 1540196440.867 * * [misc]simplify: iters left: 1 (42 enodes) 1540196440.877 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540196440.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196440.877 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196440.877 * * [misc]simplify: iters left: 6 (12 enodes) 1540196440.881 * * [misc]simplify: iters left: 5 (16 enodes) 1540196440.885 * * [misc]simplify: iters left: 4 (22 enodes) 1540196440.891 * * [misc]simplify: iters left: 3 (24 enodes) 1540196440.897 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196440.897 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196440.898 * * * * [misc]progress: [ 160 / 250 ] simplifiying candidate # 1540196440.898 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196440.898 * * [misc]simplify: iters left: 6 (16 enodes) 1540196440.903 * * [misc]simplify: iters left: 5 (25 enodes) 1540196440.910 * * [misc]simplify: iters left: 4 (33 enodes) 1540196440.919 * * [misc]simplify: iters left: 3 (47 enodes) 1540196440.933 * * [misc]simplify: iters left: 2 (56 enodes) 1540196440.945 * * [misc]simplify: iters left: 1 (66 enodes) 1540196440.965 * [exit]simplify: Simplified to (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196440.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196440.965 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196440.966 * * [misc]simplify: iters left: 6 (15 enodes) 1540196440.971 * * [misc]simplify: iters left: 5 (20 enodes) 1540196440.976 * * [misc]simplify: iters left: 4 (26 enodes) 1540196440.983 * * [misc]simplify: iters left: 3 (28 enodes) 1540196440.990 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196440.990 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196440.990 * * * * [misc]progress: [ 161 / 250 ] simplifiying candidate # 1540196440.990 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196440.991 * * [misc]simplify: iters left: 6 (15 enodes) 1540196440.995 * * [misc]simplify: iters left: 5 (22 enodes) 1540196441.001 * * [misc]simplify: iters left: 4 (28 enodes) 1540196441.009 * * [misc]simplify: iters left: 3 (38 enodes) 1540196441.018 * * [misc]simplify: iters left: 2 (40 enodes) 1540196441.026 * * [misc]simplify: iters left: 1 (45 enodes) 1540196441.036 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540196441.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196441.036 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196441.036 * * [misc]simplify: iters left: 6 (15 enodes) 1540196441.040 * * [misc]simplify: iters left: 5 (20 enodes) 1540196441.046 * * [misc]simplify: iters left: 4 (26 enodes) 1540196441.052 * * [misc]simplify: iters left: 3 (28 enodes) 1540196441.060 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196441.060 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196441.060 * * * * [misc]progress: [ 162 / 250 ] simplifiying candidate # 1540196441.060 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1540196441.060 * * [misc]simplify: iters left: 6 (11 enodes) 1540196441.064 * * [misc]simplify: iters left: 5 (15 enodes) 1540196441.068 * * [misc]simplify: iters left: 4 (18 enodes) 1540196441.072 * * [misc]simplify: iters left: 3 (20 enodes) 1540196441.076 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540196441.076 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196441.077 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196441.077 * * [misc]simplify: iters left: 6 (14 enodes) 1540196441.081 * * [misc]simplify: iters left: 5 (19 enodes) 1540196441.086 * * [misc]simplify: iters left: 4 (25 enodes) 1540196441.093 * * [misc]simplify: iters left: 3 (27 enodes) 1540196441.099 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196441.099 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196441.099 * * * * [misc]progress: [ 163 / 250 ] simplifiying candidate # 1540196441.100 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1540196441.100 * * [misc]simplify: iters left: 6 (10 enodes) 1540196441.103 * * [misc]simplify: iters left: 5 (14 enodes) 1540196441.107 * * [misc]simplify: iters left: 4 (19 enodes) 1540196441.111 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540196441.111 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196441.112 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196441.112 * * [misc]simplify: iters left: 6 (14 enodes) 1540196441.116 * * [misc]simplify: iters left: 5 (19 enodes) 1540196441.122 * * [misc]simplify: iters left: 4 (25 enodes) 1540196441.129 * * [misc]simplify: iters left: 3 (27 enodes) 1540196441.135 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196441.135 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196441.136 * * * * [misc]progress: [ 164 / 250 ] simplifiying candidate # 1540196441.136 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540196441.136 * * [misc]simplify: iters left: 6 (10 enodes) 1540196441.139 * * [misc]simplify: iters left: 5 (12 enodes) 1540196441.142 * * [misc]simplify: iters left: 4 (15 enodes) 1540196441.146 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540196441.146 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196441.146 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540196441.147 * * [misc]simplify: iters left: 6 (14 enodes) 1540196441.151 * * [misc]simplify: iters left: 5 (21 enodes) 1540196441.156 * * [misc]simplify: iters left: 4 (27 enodes) 1540196441.164 * * [misc]simplify: iters left: 3 (37 enodes) 1540196441.174 * * [misc]simplify: iters left: 2 (39 enodes) 1540196441.181 * * [misc]simplify: iters left: 1 (44 enodes) 1540196441.191 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540196441.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1540196441.191 * * * * [misc]progress: [ 165 / 250 ] simplifiying candidate # 1540196441.191 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) 1540196441.191 * * [misc]simplify: iters left: 6 (14 enodes) 1540196441.195 * * [misc]simplify: iters left: 5 (20 enodes) 1540196441.201 * * [misc]simplify: iters left: 4 (26 enodes) 1540196441.208 * * [misc]simplify: iters left: 3 (28 enodes) 1540196441.213 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1540196441.213 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1540196441.213 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1540196441.213 * * [misc]simplify: iters left: 6 (12 enodes) 1540196441.215 * * [misc]simplify: iters left: 5 (15 enodes) 1540196441.217 * * [misc]simplify: iters left: 4 (18 enodes) 1540196441.219 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1540196441.219 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1540196441.219 * * * * [misc]progress: [ 166 / 250 ] simplifiying candidate # 1540196441.219 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196441.219 * * [misc]simplify: iters left: 6 (14 enodes) 1540196441.222 * * [misc]simplify: iters left: 5 (21 enodes) 1540196441.224 * * [misc]simplify: iters left: 4 (24 enodes) 1540196441.228 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196441.228 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196441.228 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196441.228 * * [misc]simplify: iters left: 6 (14 enodes) 1540196441.230 * * [misc]simplify: iters left: 5 (17 enodes) 1540196441.232 * * [misc]simplify: iters left: 4 (20 enodes) 1540196441.235 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196441.235 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196441.235 * * * * [misc]progress: [ 167 / 250 ] simplifiying candidate # 1540196441.235 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196441.235 * * [misc]simplify: iters left: 6 (13 enodes) 1540196441.237 * * [misc]simplify: iters left: 5 (18 enodes) 1540196441.240 * * [misc]simplify: iters left: 4 (21 enodes) 1540196441.243 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196441.243 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196441.243 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196441.243 * * [misc]simplify: iters left: 6 (14 enodes) 1540196441.245 * * [misc]simplify: iters left: 5 (17 enodes) 1540196441.247 * * [misc]simplify: iters left: 4 (20 enodes) 1540196441.253 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196441.253 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196441.253 * * * * [misc]progress: [ 168 / 250 ] simplifiying candidate # 1540196441.253 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540196441.253 * * [misc]simplify: iters left: 6 (12 enodes) 1540196441.257 * * [misc]simplify: iters left: 5 (20 enodes) 1540196441.262 * * [misc]simplify: iters left: 4 (27 enodes) 1540196441.269 * * [misc]simplify: iters left: 3 (37 enodes) 1540196441.283 * * [misc]simplify: iters left: 2 (64 enodes) 1540196441.303 * * [misc]simplify: iters left: 1 (93 enodes) 1540196441.335 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196441.335 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196441.335 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196441.335 * * [misc]simplify: iters left: 6 (15 enodes) 1540196441.340 * * [misc]simplify: iters left: 5 (21 enodes) 1540196441.345 * * [misc]simplify: iters left: 4 (25 enodes) 1540196441.352 * * [misc]simplify: iters left: 3 (27 enodes) 1540196441.359 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540196441.359 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540196441.359 * * * * [misc]progress: [ 169 / 250 ] simplifiying candidate # 1540196441.359 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1540196441.360 * * [misc]simplify: iters left: 6 (12 enodes) 1540196441.363 * * [misc]simplify: iters left: 5 (20 enodes) 1540196441.369 * * [misc]simplify: iters left: 4 (27 enodes) 1540196441.377 * * [misc]simplify: iters left: 3 (37 enodes) 1540196441.390 * * [misc]simplify: iters left: 2 (64 enodes) 1540196441.411 * * [misc]simplify: iters left: 1 (93 enodes) 1540196441.442 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196441.442 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196441.442 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196441.443 * * [misc]simplify: iters left: 6 (15 enodes) 1540196441.447 * * [misc]simplify: iters left: 5 (21 enodes) 1540196441.453 * * [misc]simplify: iters left: 4 (25 enodes) 1540196441.459 * * [misc]simplify: iters left: 3 (27 enodes) 1540196441.467 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540196441.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540196441.467 * * * * [misc]progress: [ 170 / 250 ] simplifiying candidate # 1540196441.467 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196441.467 * * [misc]simplify: iters left: 6 (13 enodes) 1540196441.471 * * [misc]simplify: iters left: 5 (21 enodes) 1540196441.477 * * [misc]simplify: iters left: 4 (31 enodes) 1540196441.486 * * [misc]simplify: iters left: 3 (51 enodes) 1540196441.504 * * [misc]simplify: iters left: 2 (90 enodes) 1540196441.534 * * [misc]simplify: iters left: 1 (181 enodes) 1540196441.627 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196441.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196441.627 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196441.627 * * [misc]simplify: iters left: 6 (12 enodes) 1540196441.631 * * [misc]simplify: iters left: 5 (16 enodes) 1540196441.636 * * [misc]simplify: iters left: 4 (22 enodes) 1540196441.642 * * [misc]simplify: iters left: 3 (24 enodes) 1540196441.648 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1540196441.648 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1540196441.648 * * * * [misc]progress: [ 171 / 250 ] simplifiying candidate # 1540196441.648 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196441.649 * * [misc]simplify: iters left: 6 (16 enodes) 1540196441.654 * * [misc]simplify: iters left: 5 (29 enodes) 1540196441.664 * * [misc]simplify: iters left: 4 (50 enodes) 1540196441.679 * * [misc]simplify: iters left: 3 (70 enodes) 1540196441.704 * * [misc]simplify: iters left: 2 (169 enodes) 1540196441.758 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1540196441.758 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196441.759 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196441.759 * * [misc]simplify: iters left: 6 (15 enodes) 1540196441.761 * * [misc]simplify: iters left: 5 (20 enodes) 1540196441.764 * * [misc]simplify: iters left: 4 (26 enodes) 1540196441.767 * * [misc]simplify: iters left: 3 (28 enodes) 1540196441.770 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196441.770 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196441.770 * * * * [misc]progress: [ 172 / 250 ] simplifiying candidate # 1540196441.770 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196441.771 * * [misc]simplify: iters left: 6 (15 enodes) 1540196441.773 * * [misc]simplify: iters left: 5 (24 enodes) 1540196441.776 * * [misc]simplify: iters left: 4 (34 enodes) 1540196441.781 * * [misc]simplify: iters left: 3 (54 enodes) 1540196441.793 * * [misc]simplify: iters left: 2 (93 enodes) 1540196441.807 * * [misc]simplify: iters left: 1 (182 enodes) 1540196441.861 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196441.861 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196441.861 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196441.861 * * [misc]simplify: iters left: 6 (15 enodes) 1540196441.865 * * [misc]simplify: iters left: 5 (20 enodes) 1540196441.869 * * [misc]simplify: iters left: 4 (26 enodes) 1540196441.872 * * [misc]simplify: iters left: 3 (28 enodes) 1540196441.876 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196441.876 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196441.876 * * * * [misc]progress: [ 173 / 250 ] simplifiying candidate # 1540196441.876 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1540196441.876 * * [misc]simplify: iters left: 6 (7 enodes) 1540196441.878 * * [misc]simplify: iters left: 5 (13 enodes) 1540196441.880 * * [misc]simplify: iters left: 4 (22 enodes) 1540196441.882 * * [misc]simplify: iters left: 3 (24 enodes) 1540196441.884 * * [misc]simplify: iters left: 2 (29 enodes) 1540196441.888 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1540196441.888 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196441.888 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196441.888 * * [misc]simplify: iters left: 6 (14 enodes) 1540196441.890 * * [misc]simplify: iters left: 5 (19 enodes) 1540196441.893 * * [misc]simplify: iters left: 4 (25 enodes) 1540196441.896 * * [misc]simplify: iters left: 3 (27 enodes) 1540196441.899 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540196441.899 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540196441.899 * * * * [misc]progress: [ 174 / 250 ] simplifiying candidate # 1540196441.899 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540196441.900 * * [misc]simplify: iters left: 6 (11 enodes) 1540196441.901 * * [misc]simplify: iters left: 5 (17 enodes) 1540196441.903 * * [misc]simplify: iters left: 4 (20 enodes) 1540196441.907 * * [misc]simplify: iters left: 3 (22 enodes) 1540196441.910 * * [misc]simplify: iters left: 2 (34 enodes) 1540196441.914 * * [misc]simplify: iters left: 1 (42 enodes) 1540196441.919 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540196441.919 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196441.919 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196441.919 * * [misc]simplify: iters left: 6 (15 enodes) 1540196441.921 * * [misc]simplify: iters left: 5 (21 enodes) 1540196441.924 * * [misc]simplify: iters left: 4 (25 enodes) 1540196441.927 * * [misc]simplify: iters left: 3 (27 enodes) 1540196441.931 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540196441.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540196441.931 * * * * [misc]progress: [ 175 / 250 ] simplifiying candidate # 1540196441.931 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1540196441.931 * * [misc]simplify: iters left: 6 (11 enodes) 1540196441.932 * * [misc]simplify: iters left: 5 (17 enodes) 1540196441.934 * * [misc]simplify: iters left: 4 (20 enodes) 1540196441.937 * * [misc]simplify: iters left: 3 (22 enodes) 1540196441.940 * * [misc]simplify: iters left: 2 (34 enodes) 1540196441.944 * * [misc]simplify: iters left: 1 (42 enodes) 1540196441.949 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1540196441.949 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1540196441.949 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1540196441.949 * * [misc]simplify: iters left: 6 (15 enodes) 1540196441.951 * * [misc]simplify: iters left: 5 (21 enodes) 1540196441.954 * * [misc]simplify: iters left: 4 (25 enodes) 1540196441.957 * * [misc]simplify: iters left: 3 (27 enodes) 1540196441.960 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1540196441.960 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1540196441.960 * * * * [misc]progress: [ 176 / 250 ] simplifiying candidate # 1540196441.960 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196441.960 * * [misc]simplify: iters left: 6 (12 enodes) 1540196441.962 * * [misc]simplify: iters left: 5 (18 enodes) 1540196441.964 * * [misc]simplify: iters left: 4 (24 enodes) 1540196441.967 * * [misc]simplify: iters left: 3 (32 enodes) 1540196441.972 * * [misc]simplify: iters left: 2 (41 enodes) 1540196441.977 * * [misc]simplify: iters left: 1 (51 enodes) 1540196441.983 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1540196441.983 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196441.983 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196441.984 * * [misc]simplify: iters left: 6 (12 enodes) 1540196441.985 * * [misc]simplify: iters left: 5 (16 enodes) 1540196441.987 * * [misc]simplify: iters left: 4 (22 enodes) 1540196441.993 * * [misc]simplify: iters left: 3 (24 enodes) 1540196441.999 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540196441.999 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540196441.999 * * * * [misc]progress: [ 177 / 250 ] simplifiying candidate # 1540196442.000 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.000 * * [misc]simplify: iters left: 6 (15 enodes) 1540196442.002 * * [misc]simplify: iters left: 5 (24 enodes) 1540196442.005 * * [misc]simplify: iters left: 4 (32 enodes) 1540196442.009 * * [misc]simplify: iters left: 3 (43 enodes) 1540196442.015 * * [misc]simplify: iters left: 2 (69 enodes) 1540196442.027 * * [misc]simplify: iters left: 1 (119 enodes) 1540196442.068 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196442.068 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196442.068 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196442.069 * * [misc]simplify: iters left: 6 (15 enodes) 1540196442.073 * * [misc]simplify: iters left: 5 (20 enodes) 1540196442.078 * * [misc]simplify: iters left: 4 (26 enodes) 1540196442.085 * * [misc]simplify: iters left: 3 (28 enodes) 1540196442.091 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196442.091 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196442.091 * * * * [misc]progress: [ 178 / 250 ] simplifiying candidate # 1540196442.092 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196442.092 * * [misc]simplify: iters left: 6 (14 enodes) 1540196442.095 * * [misc]simplify: iters left: 5 (21 enodes) 1540196442.098 * * [misc]simplify: iters left: 4 (27 enodes) 1540196442.101 * * [misc]simplify: iters left: 3 (35 enodes) 1540196442.106 * * [misc]simplify: iters left: 2 (43 enodes) 1540196442.111 * * [misc]simplify: iters left: 1 (56 enodes) 1540196442.118 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196442.118 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196442.119 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196442.119 * * [misc]simplify: iters left: 6 (15 enodes) 1540196442.122 * * [misc]simplify: iters left: 5 (20 enodes) 1540196442.127 * * [misc]simplify: iters left: 4 (26 enodes) 1540196442.133 * * [misc]simplify: iters left: 3 (28 enodes) 1540196442.139 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196442.139 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1540196442.139 * * * * [misc]progress: [ 179 / 250 ] simplifiying candidate # 1540196442.140 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1540196442.140 * * [misc]simplify: iters left: 6 (6 enodes) 1540196442.141 * * [misc]simplify: iters left: 5 (10 enodes) 1540196442.145 * * [misc]simplify: iters left: 4 (16 enodes) 1540196442.148 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540196442.148 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.148 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.149 * * [misc]simplify: iters left: 6 (14 enodes) 1540196442.152 * * [misc]simplify: iters left: 5 (19 enodes) 1540196442.157 * * [misc]simplify: iters left: 4 (25 enodes) 1540196442.164 * * [misc]simplify: iters left: 3 (27 enodes) 1540196442.171 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1540196442.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540196442.171 * * * * [misc]progress: [ 180 / 250 ] simplifiying candidate # 1540196442.171 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1540196442.171 * * [misc]simplify: iters left: 6 (8 enodes) 1540196442.174 * * [misc]simplify: iters left: 5 (14 enodes) 1540196442.177 * * [misc]simplify: iters left: 4 (15 enodes) 1540196442.181 * * [misc]simplify: iters left: 3 (19 enodes) 1540196442.187 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540196442.187 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540196442.187 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540196442.187 * * [misc]simplify: iters left: 6 (14 enodes) 1540196442.192 * * [misc]simplify: iters left: 5 (20 enodes) 1540196442.197 * * [misc]simplify: iters left: 4 (24 enodes) 1540196442.203 * * [misc]simplify: iters left: 3 (26 enodes) 1540196442.210 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540196442.210 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540196442.210 * * * * [misc]progress: [ 181 / 250 ] simplifiying candidate # 1540196442.210 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1540196442.210 * * [misc]simplify: iters left: 6 (8 enodes) 1540196442.214 * * [misc]simplify: iters left: 5 (14 enodes) 1540196442.217 * * [misc]simplify: iters left: 4 (15 enodes) 1540196442.221 * * [misc]simplify: iters left: 3 (19 enodes) 1540196442.224 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1540196442.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1540196442.225 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1540196442.225 * * [misc]simplify: iters left: 6 (14 enodes) 1540196442.229 * * [misc]simplify: iters left: 5 (20 enodes) 1540196442.234 * * [misc]simplify: iters left: 4 (24 enodes) 1540196442.241 * * [misc]simplify: iters left: 3 (26 enodes) 1540196442.248 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540196442.248 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540196442.248 * * * * [misc]progress: [ 182 / 250 ] simplifiying candidate # 1540196442.248 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1540196442.248 * * [misc]simplify: iters left: 6 (10 enodes) 1540196442.252 * * [misc]simplify: iters left: 5 (16 enodes) 1540196442.254 * * [misc]simplify: iters left: 4 (20 enodes) 1540196442.256 * * [misc]simplify: iters left: 3 (24 enodes) 1540196442.259 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540196442.259 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196442.259 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196442.259 * * [misc]simplify: iters left: 6 (11 enodes) 1540196442.261 * * [misc]simplify: iters left: 5 (15 enodes) 1540196442.263 * * [misc]simplify: iters left: 4 (21 enodes) 1540196442.265 * * [misc]simplify: iters left: 3 (23 enodes) 1540196442.268 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196442.268 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196442.268 * * * * [misc]progress: [ 183 / 250 ] simplifiying candidate # 1540196442.268 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.268 * * [misc]simplify: iters left: 6 (13 enodes) 1540196442.271 * * [misc]simplify: iters left: 5 (22 enodes) 1540196442.273 * * [misc]simplify: iters left: 4 (26 enodes) 1540196442.277 * * [misc]simplify: iters left: 3 (32 enodes) 1540196442.281 * * [misc]simplify: iters left: 2 (34 enodes) 1540196442.284 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1540196442.284 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196442.284 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196442.285 * * [misc]simplify: iters left: 6 (14 enodes) 1540196442.286 * * [misc]simplify: iters left: 5 (19 enodes) 1540196442.289 * * [misc]simplify: iters left: 4 (25 enodes) 1540196442.292 * * [misc]simplify: iters left: 3 (27 enodes) 1540196442.296 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.296 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.296 * * * * [misc]progress: [ 184 / 250 ] simplifiying candidate # 1540196442.296 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196442.297 * * [misc]simplify: iters left: 6 (12 enodes) 1540196442.299 * * [misc]simplify: iters left: 5 (19 enodes) 1540196442.301 * * [misc]simplify: iters left: 4 (23 enodes) 1540196442.304 * * [misc]simplify: iters left: 3 (27 enodes) 1540196442.307 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1540196442.307 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1540196442.307 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196442.307 * * [misc]simplify: iters left: 6 (14 enodes) 1540196442.309 * * [misc]simplify: iters left: 5 (19 enodes) 1540196442.312 * * [misc]simplify: iters left: 4 (25 enodes) 1540196442.315 * * [misc]simplify: iters left: 3 (27 enodes) 1540196442.318 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.318 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.318 * * * * [misc]progress: [ 185 / 250 ] simplifiying candidate # 1540196442.318 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1540196442.318 * * [misc]simplify: iters left: 4 (3 enodes) 1540196442.319 * * [misc]simplify: iters left: 3 (5 enodes) 1540196442.319 * [exit]simplify: Simplified to 1 1540196442.319 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.319 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.319 * * [misc]simplify: iters left: 6 (13 enodes) 1540196442.321 * * [misc]simplify: iters left: 5 (18 enodes) 1540196442.323 * * [misc]simplify: iters left: 4 (24 enodes) 1540196442.326 * * [misc]simplify: iters left: 3 (26 enodes) 1540196442.329 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540196442.330 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540196442.330 * * * * [misc]progress: [ 186 / 250 ] simplifiying candidate # 1540196442.330 * [enter]simplify: Simplifying (/ 1 1) 1540196442.330 * * [misc]simplify: iters left: 2 (2 enodes) 1540196442.330 * * [misc]simplify: iters left: 1 (4 enodes) 1540196442.330 * [exit]simplify: Simplified to 1 1540196442.330 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.331 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.331 * * [misc]simplify: iters left: 6 (13 enodes) 1540196442.333 * * [misc]simplify: iters left: 5 (18 enodes) 1540196442.335 * * [misc]simplify: iters left: 4 (24 enodes) 1540196442.338 * * [misc]simplify: iters left: 3 (26 enodes) 1540196442.343 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1540196442.343 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1540196442.343 * * * * [misc]progress: [ 187 / 250 ] simplifiying candidate # 1540196442.343 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1540196442.343 * * [misc]simplify: iters left: 3 (4 enodes) 1540196442.345 * * [misc]simplify: iters left: 2 (6 enodes) 1540196442.346 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1540196442.346 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.346 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.347 * * [misc]simplify: iters left: 6 (13 enodes) 1540196442.350 * * [misc]simplify: iters left: 5 (20 enodes) 1540196442.356 * * [misc]simplify: iters left: 4 (26 enodes) 1540196442.361 * * [misc]simplify: iters left: 3 (36 enodes) 1540196442.366 * * [misc]simplify: iters left: 2 (38 enodes) 1540196442.370 * * [misc]simplify: iters left: 1 (43 enodes) 1540196442.374 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1540196442.374 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1540196442.374 * * * * [misc]progress: [ 188 / 250 ] simplifiying candidate # 1540196442.375 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1540196442.375 * * [misc]simplify: iters left: 6 (10 enodes) 1540196442.376 * * [misc]simplify: iters left: 5 (16 enodes) 1540196442.379 * * [misc]simplify: iters left: 4 (19 enodes) 1540196442.381 * * [misc]simplify: iters left: 3 (21 enodes) 1540196442.384 * * [misc]simplify: iters left: 2 (33 enodes) 1540196442.388 * * [misc]simplify: iters left: 1 (41 enodes) 1540196442.392 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1540196442.393 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1540196442.393 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1540196442.393 * * [misc]simplify: iters left: 6 (11 enodes) 1540196442.394 * * [misc]simplify: iters left: 5 (14 enodes) 1540196442.396 * * [misc]simplify: iters left: 4 (17 enodes) 1540196442.399 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1540196442.399 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1540196442.399 * * * * [misc]progress: [ 189 / 250 ] simplifiying candidate # 1540196442.399 * * * * [misc]progress: [ 190 / 250 ] simplifiying candidate # 1540196442.399 * * * * [misc]progress: [ 191 / 250 ] simplifiying candidate # 1540196442.399 * * * * [misc]progress: [ 192 / 250 ] simplifiying candidate # 1540196442.399 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.399 * * [misc]simplify: iters left: 6 (11 enodes) 1540196442.401 * * [misc]simplify: iters left: 5 (14 enodes) 1540196442.402 * * [misc]simplify: iters left: 4 (17 enodes) 1540196442.404 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.405 * * * * [misc]progress: [ 193 / 250 ] simplifiying candidate # 1540196442.405 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.405 * * [misc]simplify: iters left: 6 (11 enodes) 1540196442.406 * * [misc]simplify: iters left: 5 (14 enodes) 1540196442.409 * * [misc]simplify: iters left: 4 (17 enodes) 1540196442.414 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.414 * [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) (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.414 * * * * [misc]progress: [ 194 / 250 ] simplifiying candidate # 1540196442.414 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540196442.414 * * [misc]simplify: iters left: 6 (10 enodes) 1540196442.417 * * [misc]simplify: iters left: 5 (13 enodes) 1540196442.420 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540196442.420 * [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))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540196442.421 * * * * [misc]progress: [ 195 / 250 ] simplifiying candidate # 1540196442.421 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540196442.421 * * [misc]simplify: iters left: 6 (10 enodes) 1540196442.424 * * [misc]simplify: iters left: 5 (13 enodes) 1540196442.425 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540196442.425 * [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))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540196442.425 * * * * [misc]progress: [ 196 / 250 ] simplifiying candidate # 1540196442.425 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196442.426 * * [misc]simplify: iters left: 6 (9 enodes) 1540196442.427 * * [misc]simplify: iters left: 5 (11 enodes) 1540196442.428 * * [misc]simplify: iters left: 4 (14 enodes) 1540196442.430 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196442.430 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196442.430 * * * * [misc]progress: [ 197 / 250 ] simplifiying candidate # 1540196442.430 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.430 * * [misc]simplify: iters left: 6 (12 enodes) 1540196442.432 * * [misc]simplify: iters left: 5 (15 enodes) 1540196442.434 * * [misc]simplify: iters left: 4 (18 enodes) 1540196442.436 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.436 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.437 * * * * [misc]progress: [ 198 / 250 ] simplifiying candidate # 1540196442.437 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.437 * * [misc]simplify: iters left: 6 (12 enodes) 1540196442.438 * * [misc]simplify: iters left: 5 (15 enodes) 1540196442.440 * * [misc]simplify: iters left: 4 (18 enodes) 1540196442.443 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.443 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.443 * * * * [misc]progress: [ 199 / 250 ] simplifiying candidate # 1540196442.443 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196442.443 * * [misc]simplify: iters left: 6 (11 enodes) 1540196442.445 * * [misc]simplify: iters left: 5 (14 enodes) 1540196442.447 * * [misc]simplify: iters left: 4 (17 enodes) 1540196442.449 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196442.449 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196442.449 * * * * [misc]progress: [ 200 / 250 ] simplifiying candidate # 1540196442.449 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540196442.449 * * [misc]simplify: iters left: 6 (10 enodes) 1540196442.450 * * [misc]simplify: iters left: 5 (13 enodes) 1540196442.452 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540196442.452 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540196442.452 * * * * [misc]progress: [ 201 / 250 ] simplifiying candidate # 1540196442.452 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1540196442.452 * * [misc]simplify: iters left: 6 (10 enodes) 1540196442.454 * * [misc]simplify: iters left: 5 (13 enodes) 1540196442.455 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1540196442.455 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1540196442.456 * * * * [misc]progress: [ 202 / 250 ] simplifiying candidate # 1540196442.456 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196442.456 * * [misc]simplify: iters left: 6 (9 enodes) 1540196442.457 * * [misc]simplify: iters left: 5 (11 enodes) 1540196442.459 * * [misc]simplify: iters left: 4 (14 enodes) 1540196442.461 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196442.461 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196442.461 * * * * [misc]progress: [ 203 / 250 ] simplifiying candidate # 1540196442.462 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.462 * * [misc]simplify: iters left: 6 (12 enodes) 1540196442.463 * * [misc]simplify: iters left: 5 (15 enodes) 1540196442.465 * * [misc]simplify: iters left: 4 (18 enodes) 1540196442.468 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.468 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.468 * * * * [misc]progress: [ 204 / 250 ] simplifiying candidate # 1540196442.468 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.468 * * [misc]simplify: iters left: 6 (12 enodes) 1540196442.470 * * [misc]simplify: iters left: 5 (15 enodes) 1540196442.471 * * [misc]simplify: iters left: 4 (18 enodes) 1540196442.474 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.474 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.474 * * * * [misc]progress: [ 205 / 250 ] simplifiying candidate # 1540196442.474 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196442.474 * * [misc]simplify: iters left: 6 (11 enodes) 1540196442.476 * * [misc]simplify: iters left: 5 (14 enodes) 1540196442.480 * * [misc]simplify: iters left: 4 (17 enodes) 1540196442.484 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196442.484 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196442.484 * * * * [misc]progress: [ 206 / 250 ] simplifiying candidate # 1540196442.485 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540196442.485 * * [misc]simplify: iters left: 6 (9 enodes) 1540196442.487 * * [misc]simplify: iters left: 5 (12 enodes) 1540196442.491 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540196442.491 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1540196442.491 * * * * [misc]progress: [ 207 / 250 ] simplifiying candidate # 1540196442.491 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1540196442.491 * * [misc]simplify: iters left: 6 (9 enodes) 1540196442.494 * * [misc]simplify: iters left: 5 (12 enodes) 1540196442.498 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1540196442.498 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1540196442.498 * * * * [misc]progress: [ 208 / 250 ] simplifiying candidate # 1540196442.498 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540196442.498 * * [misc]simplify: iters left: 6 (8 enodes) 1540196442.500 * * [misc]simplify: iters left: 5 (10 enodes) 1540196442.503 * * [misc]simplify: iters left: 4 (13 enodes) 1540196442.507 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540196442.507 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196442.507 * * * * [misc]progress: [ 209 / 250 ] simplifiying candidate # 1540196442.507 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.507 * * [misc]simplify: iters left: 6 (11 enodes) 1540196442.511 * * [misc]simplify: iters left: 5 (14 enodes) 1540196442.514 * * [misc]simplify: iters left: 4 (17 enodes) 1540196442.519 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.519 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.519 * * * * [misc]progress: [ 210 / 250 ] simplifiying candidate # 1540196442.519 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.519 * * [misc]simplify: iters left: 6 (11 enodes) 1540196442.521 * * [misc]simplify: iters left: 5 (14 enodes) 1540196442.523 * * [misc]simplify: iters left: 4 (17 enodes) 1540196442.525 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.525 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1540196442.525 * * * * [misc]progress: [ 211 / 250 ] simplifiying candidate # 1540196442.525 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196442.525 * * [misc]simplify: iters left: 6 (10 enodes) 1540196442.527 * * [misc]simplify: iters left: 5 (13 enodes) 1540196442.528 * * [misc]simplify: iters left: 4 (16 enodes) 1540196442.531 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196442.531 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196442.531 * * * * [misc]progress: [ 212 / 250 ] simplifiying candidate # 1540196442.531 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196442.531 * * [misc]simplify: iters left: 6 (10 enodes) 1540196442.532 * * [misc]simplify: iters left: 5 (13 enodes) 1540196442.534 * * [misc]simplify: iters left: 4 (16 enodes) 1540196442.536 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1540196442.536 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196442.536 * * * * [misc]progress: [ 213 / 250 ] simplifiying candidate # 1540196442.536 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1540196442.536 * * [misc]simplify: iters left: 6 (10 enodes) 1540196442.538 * * [misc]simplify: iters left: 5 (15 enodes) 1540196442.540 * * [misc]simplify: iters left: 4 (18 enodes) 1540196442.542 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1540196442.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1540196442.542 * * * * [misc]progress: [ 214 / 250 ] simplifiying candidate # 1540196442.542 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1540196442.542 * * [misc]simplify: iters left: 3 (6 enodes) 1540196442.543 * * [misc]simplify: iters left: 2 (7 enodes) 1540196442.544 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1540196442.544 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1540196442.544 * * * * [misc]progress: [ 215 / 250 ] simplifiying candidate # 1540196442.544 * [enter]simplify: Simplifying (pow PI 1/2) 1540196442.544 * * [misc]simplify: iters left: 1 (3 enodes) 1540196442.545 * [exit]simplify: Simplified to (sqrt PI) 1540196442.545 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1540196442.545 * * * * [misc]progress: [ 216 / 250 ] simplifiying candidate # 1540196442.545 * [enter]simplify: Simplifying (pow PI 1/2) 1540196442.545 * * [misc]simplify: iters left: 1 (3 enodes) 1540196442.545 * [exit]simplify: Simplified to (sqrt PI) 1540196442.545 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1540196442.545 * * * * [misc]progress: [ 217 / 250 ] simplifiying candidate # 1540196442.546 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196442.546 * * [misc]simplify: iters left: 6 (9 enodes) 1540196442.547 * * [misc]simplify: iters left: 5 (11 enodes) 1540196442.548 * * [misc]simplify: iters left: 4 (14 enodes) 1540196442.550 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196442.550 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1540196442.550 * * * * [misc]progress: [ 218 / 250 ] simplifiying candidate # 1540196442.550 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1540196442.550 * * [misc]simplify: iters left: 6 (8 enodes) 1540196442.552 * * [misc]simplify: iters left: 5 (10 enodes) 1540196442.553 * * [misc]simplify: iters left: 4 (13 enodes) 1540196442.555 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540196442.555 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1540196442.556 * * * * [misc]progress: [ 219 / 250 ] simplifiying candidate # 1540196442.556 * * * * [misc]progress: [ 220 / 250 ] simplifiying candidate # 1540196442.556 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1540196442.556 * * [misc]simplify: iters left: 5 (8 enodes) 1540196442.557 * * [misc]simplify: iters left: 4 (11 enodes) 1540196442.558 * * [misc]simplify: iters left: 3 (14 enodes) 1540196442.561 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1540196442.561 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1540196442.561 * * * * [misc]progress: [ 221 / 250 ] simplifiying candidate # 1540196442.562 * [enter]simplify: Simplifying (pow PI 1/2) 1540196442.562 * * [misc]simplify: iters left: 1 (3 enodes) 1540196442.563 * [exit]simplify: Simplified to (sqrt PI) 1540196442.563 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1540196442.563 * * * * [misc]progress: [ 222 / 250 ] simplifiying candidate # 1540196442.563 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1540196442.563 * * [misc]simplify: iters left: 6 (9 enodes) 1540196442.567 * * [misc]simplify: iters left: 5 (16 enodes) 1540196442.572 * * [misc]simplify: iters left: 4 (32 enodes) 1540196442.577 * * [misc]simplify: iters left: 3 (68 enodes) 1540196442.593 * * [misc]simplify: iters left: 2 (171 enodes) 1540196442.642 * * [misc]simplify: iters left: 1 (342 enodes) 1540196442.787 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1540196442.787 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1540196442.788 * * * * [misc]progress: [ 223 / 250 ] simplifiying candidate # 1540196442.788 * * * * [misc]progress: [ 224 / 250 ] simplifiying candidate # 1540196442.788 * [enter]simplify: Simplifying (* n 2) 1540196442.788 * * [misc]simplify: iters left: 2 (3 enodes) 1540196442.788 * * [misc]simplify: iters left: 1 (4 enodes) 1540196442.789 * [exit]simplify: Simplified to (* n 2) 1540196442.789 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1540196442.789 * * * * [misc]progress: [ 225 / 250 ] simplifiying candidate # 1540196442.789 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1540196442.789 * * [misc]simplify: iters left: 3 (6 enodes) 1540196442.790 * * [misc]simplify: iters left: 2 (7 enodes) 1540196442.791 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1540196442.791 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1540196442.791 * * * * [misc]progress: [ 226 / 250 ] simplifiying candidate # 1540196442.791 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540196442.791 * * [misc]simplify: iters left: 5 (6 enodes) 1540196442.792 * * [misc]simplify: iters left: 4 (8 enodes) 1540196442.793 * * [misc]simplify: iters left: 3 (11 enodes) 1540196442.794 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540196442.794 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1540196442.794 * * * * [misc]progress: [ 227 / 250 ] simplifiying candidate # 1540196442.795 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540196442.795 * * [misc]simplify: iters left: 5 (6 enodes) 1540196442.795 * * [misc]simplify: iters left: 4 (8 enodes) 1540196442.796 * * [misc]simplify: iters left: 3 (11 enodes) 1540196442.798 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540196442.798 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1540196442.798 * * * * [misc]progress: [ 228 / 250 ] simplifiying candidate # 1540196442.798 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540196442.798 * * [misc]simplify: iters left: 4 (5 enodes) 1540196442.799 * * [misc]simplify: iters left: 3 (7 enodes) 1540196442.800 * * [misc]simplify: iters left: 2 (10 enodes) 1540196442.801 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540196442.801 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1540196442.801 * * * * [misc]progress: [ 229 / 250 ] simplifiying candidate # 1540196442.801 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540196442.801 * * [misc]simplify: iters left: 5 (7 enodes) 1540196442.802 * * [misc]simplify: iters left: 4 (10 enodes) 1540196442.804 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540196442.804 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1540196442.804 * * * * [misc]progress: [ 230 / 250 ] simplifiying candidate # 1540196442.804 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1540196442.804 * * [misc]simplify: iters left: 5 (7 enodes) 1540196442.805 * * [misc]simplify: iters left: 4 (10 enodes) 1540196442.806 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1540196442.806 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1540196442.806 * * * * [misc]progress: [ 231 / 250 ] simplifiying candidate # 1540196442.806 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1540196442.806 * * [misc]simplify: iters left: 5 (7 enodes) 1540196442.807 * * [misc]simplify: iters left: 4 (9 enodes) 1540196442.808 * * [misc]simplify: iters left: 3 (12 enodes) 1540196442.810 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540196442.810 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196442.810 * * * * [misc]progress: [ 232 / 250 ] simplifiying candidate # 1540196442.810 * * * * [misc]progress: [ 233 / 250 ] simplifiying candidate # 1540196442.810 * * * * [misc]progress: [ 234 / 250 ] simplifiying candidate # 1540196442.810 * * * * [misc]progress: [ 235 / 250 ] simplifiying candidate # 1540196442.810 * * * * [misc]progress: [ 236 / 250 ] simplifiying candidate # 1540196442.810 * * * * [misc]progress: [ 237 / 250 ] simplifiying candidate # 1540196442.810 * * * * [misc]progress: [ 238 / 250 ] simplifiying candidate # 1540196442.810 * * * * [misc]progress: [ 239 / 250 ] simplifiying candidate # 1540196442.810 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1540196442.811 * * [misc]simplify: iters left: 6 (18 enodes) 1540196442.813 * * [misc]simplify: iters left: 5 (39 enodes) 1540196442.821 * * [misc]simplify: iters left: 4 (104 enodes) 1540196442.843 * * [misc]simplify: iters left: 3 (275 enodes) 1540196442.994 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1540196442.994 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196442.994 * * * * [misc]progress: [ 240 / 250 ] simplifiying candidate # 1540196442.995 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540196442.995 * * [misc]simplify: iters left: 5 (6 enodes) 1540196442.997 * * [misc]simplify: iters left: 4 (9 enodes) 1540196443.000 * * [misc]simplify: iters left: 3 (17 enodes) 1540196443.004 * * [misc]simplify: iters left: 2 (20 enodes) 1540196443.009 * * [misc]simplify: iters left: 1 (24 enodes) 1540196443.017 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1540196443.017 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196443.017 * * * * [misc]progress: [ 241 / 250 ] simplifiying candidate # 1540196443.017 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1540196443.017 * * [misc]simplify: iters left: 5 (6 enodes) 1540196443.018 * * [misc]simplify: iters left: 4 (9 enodes) 1540196443.020 * * [misc]simplify: iters left: 3 (17 enodes) 1540196443.022 * * [misc]simplify: iters left: 2 (20 enodes) 1540196443.024 * * [misc]simplify: iters left: 1 (24 enodes) 1540196443.029 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1540196443.029 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1540196443.029 * * * * [misc]progress: [ 242 / 250 ] simplifiying candidate # 1540196443.029 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1540196443.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1540196443.029 * * * * [misc]progress: [ 243 / 250 ] simplifiying candidate # 1540196443.029 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1540196443.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1540196443.029 * * * * [misc]progress: [ 244 / 250 ] simplifiying candidate # 1540196443.029 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1540196443.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1540196443.029 * * * * [misc]progress: [ 245 / 250 ] simplifiying candidate # 1540196443.030 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1540196443.030 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540196443.030 * * * * [misc]progress: [ 246 / 250 ] simplifiying candidate # 1540196443.030 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1540196443.030 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540196443.030 * * * * [misc]progress: [ 247 / 250 ] simplifiying candidate # 1540196443.030 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1540196443.030 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540196443.030 * * * * [misc]progress: [ 248 / 250 ] simplifiying candidate # 1540196443.030 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1540196443.030 * * [misc]simplify: iters left: 6 (35 enodes) 1540196443.039 * * [misc]simplify: iters left: 5 (99 enodes) 1540196443.066 * * [misc]simplify: iters left: 4 (298 enodes) 1540196443.209 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1540196443.209 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))) 1540196443.209 * * * * [misc]progress: [ 249 / 250 ] simplifiying candidate # 1540196443.209 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1540196443.209 * * [misc]simplify: iters left: 6 (13 enodes) 1540196443.212 * * [misc]simplify: iters left: 5 (27 enodes) 1540196443.220 * * [misc]simplify: iters left: 4 (53 enodes) 1540196443.237 * * [misc]simplify: iters left: 3 (116 enodes) 1540196443.288 * * [misc]simplify: iters left: 2 (362 enodes) 1540196443.512 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1540196443.512 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1540196443.512 * * * * [misc]progress: [ 250 / 250 ] simplifiying candidate # 1540196443.512 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1540196443.513 * * [misc]simplify: iters left: 6 (13 enodes) 1540196443.515 * * [misc]simplify: iters left: 5 (24 enodes) 1540196443.524 * * [misc]simplify: iters left: 4 (54 enodes) 1540196443.534 * * [misc]simplify: iters left: 3 (143 enodes) 1540196443.591 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1540196443.591 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))) 1540196443.591 * * * [misc]progress: adding candidates to table 1540196447.367 * * [misc]progress: iteration 3 / 4 1540196447.367 * * * [misc]progress: picking best candidate 1540196447.382 * * * * [misc]pick: Picked # 1540196447.383 * * * [misc]progress: localizing error 1540196447.436 * * * [misc]progress: generating rewritten candidates 1540196447.436 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) 1540196447.437 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) 1540196447.448 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1540196447.491 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1540196447.501 * * * [misc]progress: generating series expansions 1540196447.501 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) 1540196447.502 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) 1540196447.502 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) into (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) 1540196447.502 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in (k) around 0 1540196447.502 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540196447.502 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1540196447.502 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540196447.502 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540196447.502 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540196447.502 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196447.502 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.502 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196447.502 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.502 * [misc]taylor: Taking taylor expansion of k in k 1540196447.502 * [misc]backup-simplify: Simplify 0 into 0 1540196447.502 * [misc]backup-simplify: Simplify 1 into 1 1540196447.502 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196447.502 * [misc]taylor: Taking taylor expansion of 2 in k 1540196447.502 * [misc]backup-simplify: Simplify 2 into 2 1540196447.503 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.503 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196447.503 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.503 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196447.504 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196447.504 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540196447.505 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1540196447.505 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540196447.505 * [misc]taylor: Taking taylor expansion of k in k 1540196447.505 * [misc]backup-simplify: Simplify 0 into 0 1540196447.505 * [misc]backup-simplify: Simplify 1 into 1 1540196447.505 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196447.506 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196447.506 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1540196447.506 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1540196447.506 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540196447.506 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540196447.506 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540196447.506 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196447.506 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.506 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.506 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196447.506 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.506 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.506 * [misc]taylor: Taking taylor expansion of k in k 1540196447.506 * [misc]backup-simplify: Simplify 0 into 0 1540196447.506 * [misc]backup-simplify: Simplify 1 into 1 1540196447.506 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196447.506 * [misc]taylor: Taking taylor expansion of 2 in k 1540196447.506 * [misc]backup-simplify: Simplify 2 into 2 1540196447.507 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.507 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196447.507 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.507 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196447.507 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196447.508 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540196447.508 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1540196447.508 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540196447.508 * [misc]taylor: Taking taylor expansion of k in k 1540196447.508 * [misc]backup-simplify: Simplify 0 into 0 1540196447.508 * [misc]backup-simplify: Simplify 1 into 1 1540196447.509 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196447.509 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196447.509 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 2)) 0) into 0 1540196447.509 * [misc]backup-simplify: Simplify 0 into 0 1540196447.512 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196447.512 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196447.512 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196447.512 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196447.513 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1540196447.516 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1540196447.520 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) 1540196447.523 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) +nan.0) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) 0)) into (- (* +nan.0 (sqrt 1/2))) 1540196447.523 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1540196447.525 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196447.529 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540196447.529 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196447.530 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.530 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.530 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1540196447.534 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1540196447.542 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow 2 1/2))) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) 1540196447.553 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) +nan.0) (+ (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) +nan.0) (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) 0))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) 1540196447.556 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) 1540196447.557 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196447.568 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1540196447.568 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540196447.568 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.569 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.569 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1540196447.575 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 1540196447.593 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (pow 2 1/2))) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (/ (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow 2 1/2))) (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (- (+ (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 3) (pow (sqrt 1/2) 4)))) (* 1/48 (* (pow (log 2) 3) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))))) 1540196447.617 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) +nan.0) (+ (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) +nan.0) (+ (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) +nan.0) (* (- (+ (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 3) (pow (sqrt 1/2) 4)))) (* 1/48 (* (pow (log 2) 3) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (* 1/8 (* (pow (log 2) 3) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) 1540196447.630 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) 1540196447.648 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (- (* +nan.0 (sqrt 1/2))))))))) (pow k 3)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (sqrt 1/2))))) (pow k 2)) (* (- (* +nan.0 (sqrt 1/2))) k))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow k 3))))) (- (+ (* +nan.0 (* (sqrt 1/2) (pow k 3))) (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))))))) 1540196447.648 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow 2 (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1540196447.648 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k) around 0 1540196447.648 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540196447.648 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196447.648 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196447.648 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540196447.648 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540196447.648 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196447.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.649 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196447.649 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.649 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196447.649 * [misc]taylor: Taking taylor expansion of k in k 1540196447.649 * [misc]backup-simplify: Simplify 0 into 0 1540196447.649 * [misc]backup-simplify: Simplify 1 into 1 1540196447.649 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.649 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196447.649 * [misc]taylor: Taking taylor expansion of 2 in k 1540196447.649 * [misc]backup-simplify: Simplify 2 into 2 1540196447.649 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.649 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196447.650 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196447.650 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196447.650 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540196447.650 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196447.651 * [misc]backup-simplify: Simplify (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1540196447.651 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540196447.651 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196447.651 * [misc]taylor: Taking taylor expansion of k in k 1540196447.651 * [misc]backup-simplify: Simplify 0 into 0 1540196447.651 * [misc]backup-simplify: Simplify 1 into 1 1540196447.651 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.651 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196447.652 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196447.652 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1540196447.652 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196447.652 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196447.652 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540196447.652 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540196447.652 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196447.652 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.652 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196447.652 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.652 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196447.652 * [misc]taylor: Taking taylor expansion of k in k 1540196447.652 * [misc]backup-simplify: Simplify 0 into 0 1540196447.652 * [misc]backup-simplify: Simplify 1 into 1 1540196447.652 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.652 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196447.652 * [misc]taylor: Taking taylor expansion of 2 in k 1540196447.652 * [misc]backup-simplify: Simplify 2 into 2 1540196447.653 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.653 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196447.653 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196447.653 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196447.653 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540196447.654 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196447.654 * [misc]backup-simplify: Simplify (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1540196447.654 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540196447.654 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196447.654 * [misc]taylor: Taking taylor expansion of k in k 1540196447.654 * [misc]backup-simplify: Simplify 0 into 0 1540196447.654 * [misc]backup-simplify: Simplify 1 into 1 1540196447.654 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.654 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196447.655 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196447.655 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1540196447.655 * [misc]backup-simplify: Simplify 0 into 0 1540196447.656 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1540196447.656 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196447.657 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196447.657 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540196447.658 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196447.659 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1540196447.660 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196447.660 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196447.660 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196447.661 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196447.663 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1540196447.663 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196447.664 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196447.665 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (/ 1 k)) (- (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1540196447.665 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow 2 (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) 1540196447.665 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in (k) around 0 1540196447.665 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196447.665 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196447.665 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196447.665 * [misc]taylor: Taking taylor expansion of -1 in k 1540196447.665 * [misc]backup-simplify: Simplify -1 into -1 1540196447.666 * [misc]taylor: Taking taylor expansion of k in k 1540196447.666 * [misc]backup-simplify: Simplify 0 into 0 1540196447.666 * [misc]backup-simplify: Simplify 1 into 1 1540196447.666 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196447.666 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196447.666 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196447.666 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196447.666 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540196447.666 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540196447.667 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196447.667 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196447.667 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.667 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196447.667 * [misc]taylor: Taking taylor expansion of k in k 1540196447.667 * [misc]backup-simplify: Simplify 0 into 0 1540196447.667 * [misc]backup-simplify: Simplify 1 into 1 1540196447.667 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.667 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.667 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196447.667 * [misc]taylor: Taking taylor expansion of 2 in k 1540196447.667 * [misc]backup-simplify: Simplify 2 into 2 1540196447.667 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.667 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196447.667 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196447.668 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196447.668 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196447.668 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196447.668 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196447.668 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196447.669 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196447.669 * [misc]taylor: Taking taylor expansion of -1 in k 1540196447.669 * [misc]backup-simplify: Simplify -1 into -1 1540196447.669 * [misc]taylor: Taking taylor expansion of k in k 1540196447.669 * [misc]backup-simplify: Simplify 0 into 0 1540196447.669 * [misc]backup-simplify: Simplify 1 into 1 1540196447.669 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196447.669 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196447.669 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196447.669 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196447.670 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540196447.670 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540196447.670 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196447.670 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196447.670 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.670 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196447.670 * [misc]taylor: Taking taylor expansion of k in k 1540196447.670 * [misc]backup-simplify: Simplify 0 into 0 1540196447.670 * [misc]backup-simplify: Simplify 1 into 1 1540196447.670 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.670 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.670 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.670 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196447.670 * [misc]taylor: Taking taylor expansion of 2 in k 1540196447.670 * [misc]backup-simplify: Simplify 2 into 2 1540196447.670 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.670 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196447.671 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196447.671 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196447.671 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196447.671 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196447.672 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196447.672 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196447.673 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196447.674 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540196447.674 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540196447.675 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196447.676 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196447.678 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540196447.678 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540196447.680 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (/ 1 (- k))) (/ +nan.0 (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1540196447.680 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1540196447.681 * [misc]backup-simplify: Simplify (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) into (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k))))) (sqrt (/ PI k))) 1540196447.681 * [misc]approximate: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k))))) (sqrt (/ PI k))) in (n k) around 0 1540196447.681 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k))))) (sqrt (/ PI k))) in k 1540196447.681 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k))))) in k 1540196447.681 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540196447.681 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540196447.681 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540196447.681 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196447.681 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.681 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196447.681 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.681 * [misc]taylor: Taking taylor expansion of k in k 1540196447.681 * [misc]backup-simplify: Simplify 0 into 0 1540196447.681 * [misc]backup-simplify: Simplify 1 into 1 1540196447.681 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196447.681 * [misc]taylor: Taking taylor expansion of n in k 1540196447.681 * [misc]backup-simplify: Simplify n into n 1540196447.681 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196447.681 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196447.682 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.682 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196447.682 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540196447.682 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540196447.682 * [misc]taylor: Taking taylor expansion of (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in k 1540196447.682 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 k))) in k 1540196447.682 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log PI))) in k 1540196447.682 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log PI)) in k 1540196447.682 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1540196447.682 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196447.682 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.682 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.682 * [misc]taylor: Taking taylor expansion of k in k 1540196447.682 * [misc]backup-simplify: Simplify 0 into 0 1540196447.682 * [misc]backup-simplify: Simplify 1 into 1 1540196447.682 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196447.682 * [misc]taylor: Taking taylor expansion of PI in k 1540196447.682 * [misc]backup-simplify: Simplify PI into PI 1540196447.682 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196447.683 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196447.683 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.683 * [misc]backup-simplify: Simplify (* 0 (log PI)) into 0 1540196447.683 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.686 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196447.686 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196447.686 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196447.687 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540196447.687 * [misc]backup-simplify: Simplify (exp 0) into 1 1540196447.687 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540196447.687 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540196447.687 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540196447.687 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196447.687 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.687 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196447.687 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.687 * [misc]taylor: Taking taylor expansion of k in k 1540196447.687 * [misc]backup-simplify: Simplify 0 into 0 1540196447.687 * [misc]backup-simplify: Simplify 1 into 1 1540196447.687 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196447.687 * [misc]taylor: Taking taylor expansion of 2 in k 1540196447.688 * [misc]backup-simplify: Simplify 2 into 2 1540196447.688 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.688 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196447.688 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.688 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196447.688 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196447.689 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540196447.689 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in k 1540196447.689 * [misc]taylor: Taking taylor expansion of (/ PI k) in k 1540196447.689 * [misc]taylor: Taking taylor expansion of PI in k 1540196447.689 * [misc]backup-simplify: Simplify PI into PI 1540196447.689 * [misc]taylor: Taking taylor expansion of k in k 1540196447.689 * [misc]backup-simplify: Simplify 0 into 0 1540196447.689 * [misc]backup-simplify: Simplify 1 into 1 1540196447.689 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196447.690 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196447.690 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196447.690 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k))))) (sqrt (/ PI k))) in n 1540196447.690 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k))))) in n 1540196447.690 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1540196447.690 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1540196447.690 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1540196447.690 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196447.690 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.690 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196447.690 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.690 * [misc]taylor: Taking taylor expansion of k in n 1540196447.691 * [misc]backup-simplify: Simplify k into k 1540196447.691 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196447.691 * [misc]taylor: Taking taylor expansion of n in n 1540196447.691 * [misc]backup-simplify: Simplify 0 into 0 1540196447.691 * [misc]backup-simplify: Simplify 1 into 1 1540196447.691 * [misc]backup-simplify: Simplify (log 1) into 0 1540196447.691 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196447.691 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196447.691 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196447.691 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196447.691 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1540196447.692 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1540196447.692 * [misc]taylor: Taking taylor expansion of (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in n 1540196447.692 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 k))) in n 1540196447.692 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log PI))) in n 1540196447.692 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log PI)) in n 1540196447.692 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1540196447.692 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196447.692 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.692 * [misc]taylor: Taking taylor expansion of k in n 1540196447.692 * [misc]backup-simplify: Simplify k into k 1540196447.692 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196447.692 * [misc]taylor: Taking taylor expansion of PI in n 1540196447.692 * [misc]backup-simplify: Simplify PI into PI 1540196447.692 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196447.692 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196447.692 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196447.693 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (log PI)) into (* -1/2 (* (log PI) k)) 1540196447.693 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (log PI) k))) into (exp (* -1/2 (* (log PI) k))) 1540196447.693 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1540196447.693 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1540196447.693 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1540196447.693 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196447.693 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.693 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196447.693 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.693 * [misc]taylor: Taking taylor expansion of k in n 1540196447.693 * [misc]backup-simplify: Simplify k into k 1540196447.693 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196447.693 * [misc]taylor: Taking taylor expansion of 2 in n 1540196447.693 * [misc]backup-simplify: Simplify 2 into 2 1540196447.693 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.694 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196447.694 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196447.694 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196447.694 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1540196447.694 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1540196447.694 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in n 1540196447.694 * [misc]taylor: Taking taylor expansion of (/ PI k) in n 1540196447.694 * [misc]taylor: Taking taylor expansion of PI in n 1540196447.694 * [misc]backup-simplify: Simplify PI into PI 1540196447.694 * [misc]taylor: Taking taylor expansion of k in n 1540196447.694 * [misc]backup-simplify: Simplify k into k 1540196447.694 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540196447.695 * [misc]backup-simplify: Simplify (sqrt (/ PI k)) into (sqrt (/ PI k)) 1540196447.695 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1540196447.695 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ PI k)))) into 0 1540196447.695 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k))))) (sqrt (/ PI k))) in n 1540196447.695 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k))))) in n 1540196447.695 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1540196447.695 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1540196447.695 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1540196447.695 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196447.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.695 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196447.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.695 * [misc]taylor: Taking taylor expansion of k in n 1540196447.695 * [misc]backup-simplify: Simplify k into k 1540196447.695 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196447.695 * [misc]taylor: Taking taylor expansion of n in n 1540196447.695 * [misc]backup-simplify: Simplify 0 into 0 1540196447.695 * [misc]backup-simplify: Simplify 1 into 1 1540196447.695 * [misc]backup-simplify: Simplify (log 1) into 0 1540196447.696 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196447.696 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196447.696 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196447.696 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196447.696 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1540196447.696 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1540196447.696 * [misc]taylor: Taking taylor expansion of (* (pow PI (- (* 1/2 k))) (pow 2 (- 1/2 (* 1/2 k)))) in n 1540196447.696 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 k))) in n 1540196447.696 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log PI))) in n 1540196447.696 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log PI)) in n 1540196447.696 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1540196447.696 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196447.696 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.697 * [misc]taylor: Taking taylor expansion of k in n 1540196447.697 * [misc]backup-simplify: Simplify k into k 1540196447.697 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196447.697 * [misc]taylor: Taking taylor expansion of PI in n 1540196447.697 * [misc]backup-simplify: Simplify PI into PI 1540196447.697 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196447.697 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196447.697 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196447.697 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (log PI)) into (* -1/2 (* (log PI) k)) 1540196447.698 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (log PI) k))) into (exp (* -1/2 (* (log PI) k))) 1540196447.698 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1540196447.698 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1540196447.698 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1540196447.698 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196447.698 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.698 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196447.698 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.698 * [misc]taylor: Taking taylor expansion of k in n 1540196447.698 * [misc]backup-simplify: Simplify k into k 1540196447.698 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196447.698 * [misc]taylor: Taking taylor expansion of 2 in n 1540196447.698 * [misc]backup-simplify: Simplify 2 into 2 1540196447.698 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.698 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196447.698 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196447.698 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196447.699 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1540196447.699 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1540196447.699 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in n 1540196447.699 * [misc]taylor: Taking taylor expansion of (/ PI k) in n 1540196447.699 * [misc]taylor: Taking taylor expansion of PI in n 1540196447.699 * [misc]backup-simplify: Simplify PI into PI 1540196447.699 * [misc]taylor: Taking taylor expansion of k in n 1540196447.699 * [misc]backup-simplify: Simplify k into k 1540196447.699 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1540196447.699 * [misc]backup-simplify: Simplify (sqrt (/ PI k)) into (sqrt (/ PI k)) 1540196447.700 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1540196447.700 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ PI k)))) into 0 1540196447.700 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (log PI) k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k)))) 1540196447.701 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k))))) into (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k))))) 1540196447.702 * [misc]backup-simplify: Simplify (* (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k))))) (sqrt (/ PI k))) into (* (sqrt (/ PI k)) (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* -1/2 (* (log PI) k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))))) 1540196447.702 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ PI k)) (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* -1/2 (* (log PI) k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))))) in k 1540196447.702 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI k)) in k 1540196447.702 * [misc]taylor: Taking taylor expansion of (/ PI k) in k 1540196447.702 * [misc]taylor: Taking taylor expansion of PI in k 1540196447.702 * [misc]backup-simplify: Simplify PI into PI 1540196447.702 * [misc]taylor: Taking taylor expansion of k in k 1540196447.702 * [misc]backup-simplify: Simplify 0 into 0 1540196447.702 * [misc]backup-simplify: Simplify 1 into 1 1540196447.702 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1540196447.702 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196447.703 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196447.703 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* -1/2 (* (log PI) k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))) in k 1540196447.703 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540196447.703 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540196447.703 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540196447.703 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196447.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.703 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196447.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.703 * [misc]taylor: Taking taylor expansion of k in k 1540196447.703 * [misc]backup-simplify: Simplify 0 into 0 1540196447.703 * [misc]backup-simplify: Simplify 1 into 1 1540196447.703 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196447.703 * [misc]taylor: Taking taylor expansion of n in k 1540196447.703 * [misc]backup-simplify: Simplify n into n 1540196447.703 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196447.704 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196447.704 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.704 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196447.704 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540196447.704 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540196447.704 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (* (log PI) k))) (exp (* (log 2) (- 1/2 (* 1/2 k))))) in k 1540196447.704 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (log PI) k))) in k 1540196447.704 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (log PI) k)) in k 1540196447.704 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540196447.704 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540196447.704 * [misc]taylor: Taking taylor expansion of (* (log PI) k) in k 1540196447.704 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196447.704 * [misc]taylor: Taking taylor expansion of PI in k 1540196447.704 * [misc]backup-simplify: Simplify PI into PI 1540196447.705 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196447.705 * [misc]taylor: Taking taylor expansion of k in k 1540196447.705 * [misc]backup-simplify: Simplify 0 into 0 1540196447.705 * [misc]backup-simplify: Simplify 1 into 1 1540196447.705 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1540196447.705 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1540196447.708 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196447.709 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1540196447.709 * [misc]backup-simplify: Simplify (+ (* -1/2 (log PI)) (* 0 0)) into (- (* 1/2 (log PI))) 1540196447.710 * [misc]backup-simplify: Simplify (exp 0) into 1 1540196447.710 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 k)))) in k 1540196447.710 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 k))) in k 1540196447.710 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196447.710 * [misc]taylor: Taking taylor expansion of 2 in k 1540196447.710 * [misc]backup-simplify: Simplify 2 into 2 1540196447.710 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.710 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196447.710 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.710 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.710 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196447.710 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.710 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.710 * [misc]taylor: Taking taylor expansion of k in k 1540196447.710 * [misc]backup-simplify: Simplify 0 into 0 1540196447.710 * [misc]backup-simplify: Simplify 1 into 1 1540196447.710 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196447.710 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.711 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196447.711 * [misc]backup-simplify: Simplify (* (log 2) 1/2) into (* 1/2 (log 2)) 1540196447.711 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540196447.712 * [misc]backup-simplify: Simplify (* 1 (pow 2 1/2)) into (sqrt 2) 1540196447.712 * [misc]backup-simplify: Simplify (* (pow n 1/2) (sqrt 2)) into (* (sqrt 2) (sqrt n)) 1540196447.712 * [misc]backup-simplify: Simplify (* 0 (* (sqrt 2) (sqrt n))) into 0 1540196447.712 * [misc]backup-simplify: Simplify 0 into 0 1540196447.714 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196447.715 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540196447.715 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.715 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.715 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log 2))) into 0 1540196447.716 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196447.716 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196447.717 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196447.717 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540196447.717 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.718 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (log PI))) into 0 1540196447.719 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (log PI) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196447.719 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (log PI) k))) 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) into 0 1540196447.720 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540196447.720 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540196447.720 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.721 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.721 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196447.721 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1540196447.721 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196447.722 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k)))))) into 0 1540196447.722 * [misc]backup-simplify: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k))))) 0) (* 0 (sqrt (/ PI k)))) into 0 1540196447.722 * [misc]taylor: Taking taylor expansion of 0 in k 1540196447.722 * [misc]backup-simplify: Simplify 0 into 0 1540196447.723 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196447.723 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196447.723 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196447.724 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196447.725 * [misc]backup-simplify: Simplify (+ (* (log 2) -1/2) (* 0 1/2)) into (- (* 1/2 (log 2))) 1540196447.726 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1540196447.728 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (log PI)) 1540196447.729 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/2 (log PI)) (pow 2 1/2))) into (- (+ (* 1/2 (* (log 2) (sqrt 2))) (* 1/2 (* (sqrt 2) (log PI))))) 1540196447.730 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540196447.730 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196447.730 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196447.730 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196447.730 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1540196447.730 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1540196447.732 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (- (+ (* 1/2 (* (log 2) (sqrt 2))) (* 1/2 (* (sqrt 2) (log PI)))))) (* (* -1/2 (* (sqrt n) (log n))) (sqrt 2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt n))) (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n)))))) 1540196447.734 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt n))) (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))))) (* (* +nan.0 PI) (* (sqrt 2) (sqrt n)))) into (- (* +nan.0 (* (* (sqrt 2) PI) (sqrt n)))) 1540196447.734 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (* (sqrt 2) PI) (sqrt n)))) into (- (* +nan.0 (* (* (sqrt 2) PI) (sqrt n)))) 1540196447.734 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196447.735 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ PI k)))) into 0 1540196447.737 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540196447.737 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540196447.738 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.738 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.738 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1540196447.739 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196447.739 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196447.742 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540196447.742 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.742 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540196447.742 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.743 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1540196447.744 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (log PI) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196447.744 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (log PI) k))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 k))))))) into 0 1540196447.747 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540196447.747 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540196447.747 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.747 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.748 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196447.748 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1540196447.750 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196447.750 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k))))))) into 0 1540196447.751 * [misc]backup-simplify: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k))))) 0) (+ (* 0 0) (* 0 (sqrt (/ PI k))))) into 0 1540196447.751 * [misc]taylor: Taking taylor expansion of 0 in k 1540196447.752 * [misc]backup-simplify: Simplify 0 into 0 1540196447.752 * [misc]backup-simplify: Simplify 0 into 0 1540196447.752 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196447.752 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.752 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.756 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540196447.757 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1540196447.760 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1540196447.765 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540196447.766 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (+ (* 0 1) (* 0 0))) into 0 1540196447.767 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 (log PI)) (* 0 0))) into 0 1540196447.770 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log PI) 2)) 1540196447.776 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* -1/2 (log PI)) (* -1/2 (* (log 2) (sqrt 2)))) (* (* 1/8 (pow (log PI) 2)) (pow 2 1/2)))) into (+ (* 1/8 (* (sqrt 2) (pow (log PI) 2))) (+ (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (* 1/4 (* (log 2) (* (sqrt 2) (log PI)))))) 1540196447.777 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540196447.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196447.777 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.777 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.777 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1540196447.778 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1540196447.783 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (+ (* 1/8 (* (sqrt 2) (pow (log PI) 2))) (+ (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (* 1/4 (* (log 2) (* (sqrt 2) (log PI))))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (- (+ (* 1/2 (* (log 2) (sqrt 2))) (* 1/2 (* (sqrt 2) (log PI)))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (sqrt 2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt n))) (+ (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt n))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt n))) (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n)))))))) 1540196447.784 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1540196447.785 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540196447.790 * [misc]backup-simplify: Simplify (+ (* 0 (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt n))) (+ (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt n))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt n))) (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))))))) (+ (* (* +nan.0 PI) (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt n))) (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))))) (* (* +nan.0 (pow PI 2)) (* (sqrt 2) (sqrt n))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) PI)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow PI 2)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* PI (log n))) (sqrt n))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) PI)) (sqrt n)))))))))) 1540196447.793 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) PI)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow PI 2)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* PI (log n))) (sqrt n))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) PI)) (sqrt n)))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) PI)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow PI 2)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* PI (log n))) (sqrt n))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) PI)) (sqrt n)))))))))) 1540196447.793 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196447.793 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ PI k)))) into 0 1540196447.797 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1540196447.797 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540196447.797 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.798 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.798 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1540196447.800 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540196447.800 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196447.804 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1540196447.804 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.804 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.804 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540196447.805 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.805 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1540196447.807 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (log PI) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540196447.808 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (* (log PI) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (log 2) (- 1/2 (* 1/2 k)))))))) into 0 1540196447.812 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1540196447.813 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1540196447.813 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.813 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.813 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196447.813 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log n))))) into 0 1540196447.817 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540196447.818 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k)))))))) into 0 1540196447.820 * [misc]backup-simplify: Simplify (+ (* (* (pow n (- 1/2 (* 1/2 k))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ PI k)))))) into 0 1540196447.820 * [misc]taylor: Taking taylor expansion of 0 in k 1540196447.820 * [misc]backup-simplify: Simplify 0 into 0 1540196447.820 * [misc]backup-simplify: Simplify 0 into 0 1540196447.820 * [misc]backup-simplify: Simplify 0 into 0 1540196447.820 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540196447.821 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.821 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.828 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1540196447.828 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0 1540196447.834 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 1540196447.841 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1540196447.842 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540196447.844 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 (log PI)) (* 0 0)))) into 0 1540196447.847 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (pow (log PI) 3)) 1540196447.853 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/48 (* (pow (log 2) 3) (sqrt 2)))) (+ (* (* -1/2 (log PI)) (* 1/8 (* (pow (log 2) 2) (sqrt 2)))) (+ (* (* 1/8 (pow (log PI) 2)) (* -1/2 (* (log 2) (sqrt 2)))) (* (* -1/48 (pow (log PI) 3)) (pow 2 1/2))))) into (- (+ (* 1/16 (* (log 2) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/16 (* (pow (log 2) 2) (* (sqrt 2) (log PI)))) (+ (* 1/48 (* (pow (log 2) 3) (sqrt 2))) (* 1/48 (* (sqrt 2) (pow (log PI) 3))))))) 1540196447.854 * [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 1540196447.855 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540196447.855 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.855 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.855 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1540196447.856 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1540196447.868 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (- (+ (* 1/16 (* (log 2) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/16 (* (pow (log 2) 2) (* (sqrt 2) (log PI)))) (+ (* 1/48 (* (pow (log 2) 3) (sqrt 2))) (* 1/48 (* (sqrt 2) (pow (log PI) 3)))))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (+ (* 1/8 (* (sqrt 2) (pow (log PI) 2))) (+ (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (* 1/4 (* (log 2) (* (sqrt 2) (log PI))))))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (- (+ (* 1/2 (* (log 2) (sqrt 2))) (* 1/2 (* (sqrt 2) (log PI)))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (sqrt 2))))) into (- (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt n))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt n))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt n))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt n))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt n))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt n))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt n))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt n))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt n))) (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt n))))))))))))) 1540196447.868 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196447.870 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540196447.885 * [misc]backup-simplify: Simplify (+ (* 0 (- (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt n))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt n))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt n))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt n))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt n))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt n))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt n))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt n))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt n))) (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt n)))))))))))))) (+ (* (* +nan.0 PI) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt n))) (+ (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt n))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt n))) (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt n))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt n))))))))) (+ (* (* +nan.0 (pow PI 2)) (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt n))) (+ (* 1/2 (* (* (sqrt 2) (log n)) (sqrt n))) (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt n))))))) (* (* +nan.0 (pow PI 3)) (* (sqrt 2) (sqrt n)))))) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) PI))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow PI 3)) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow PI 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow PI 2) (log n))) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* PI (log n)))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* PI (pow (log n) 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* PI (log n)))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow PI 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) PI)) (sqrt n))) (- (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) PI)) (sqrt n)))))))))))))))))))))) 1540196447.897 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) PI))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow PI 3)) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow PI 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow PI 2) (log n))) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* PI (log n)))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* PI (pow (log n) 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* PI (log n)))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow PI 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) PI)) (sqrt n))) (- (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) PI)) (sqrt n)))))))))))))))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* PI (pow (log n) 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) PI))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow PI 3)) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow PI 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow PI 2) (log n))) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* PI (log n)))) (sqrt n))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) PI)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* PI (log n)))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) PI)) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow PI 2))) (sqrt n)))))))))))))))))))))) 1540196447.920 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (* PI (pow (log n) 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) PI))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow PI 3)) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow PI 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow PI 2) (log n))) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* PI (log n)))) (sqrt n))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) PI)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* PI (log n)))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) PI)) (sqrt n))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow PI 2))) (sqrt n)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) PI)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow PI 2)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* PI (log n))) (sqrt n))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) PI)) (sqrt n)))))))))) (* k 1)) (- (* +nan.0 (* (* (sqrt 2) PI) (sqrt n)))))) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (pow PI 2) (pow k 2)))) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* PI k))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow PI 2) k)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow PI 2) (* (log n) (pow k 2)))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* PI (* (log n) (pow k 2))))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) PI) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (pow PI 2) (pow k 2)))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* PI (* (pow (log n) 2) (pow k 2)))) (sqrt n))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (* PI (pow k 2)))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (* PI (pow k 2)))) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* PI (* (log n) (pow k 2))))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow PI 3) (pow k 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* PI (* (log n) k))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* PI k))) (sqrt n))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (* PI (pow k 2))))) (sqrt n)))))))))))))))))))))))))))))))) 1540196447.922 * [misc]backup-simplify: Simplify (* (* (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) (sqrt PI)) (/ (pow PI (- (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow 2 (- 1/2 (/ (/ 1 k) 2)))))) into (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k)))))) (sqrt (* k PI))) 1540196447.922 * [misc]approximate: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k)))))) (sqrt (* k PI))) in (n k) around 0 1540196447.922 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k)))))) (sqrt (* k PI))) in k 1540196447.922 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k)))))) in k 1540196447.922 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196447.922 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540196447.922 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540196447.922 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196447.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.922 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196447.922 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.922 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196447.922 * [misc]taylor: Taking taylor expansion of k in k 1540196447.922 * [misc]backup-simplify: Simplify 0 into 0 1540196447.922 * [misc]backup-simplify: Simplify 1 into 1 1540196447.922 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.922 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196447.923 * [misc]taylor: Taking taylor expansion of 2 in k 1540196447.923 * [misc]backup-simplify: Simplify 2 into 2 1540196447.923 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.923 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196447.923 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196447.923 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196447.924 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540196447.924 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196447.924 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) in k 1540196447.924 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196447.924 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1540196447.924 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1540196447.924 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196447.924 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.924 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196447.924 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.924 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196447.924 * [misc]taylor: Taking taylor expansion of k in k 1540196447.924 * [misc]backup-simplify: Simplify 0 into 0 1540196447.924 * [misc]backup-simplify: Simplify 1 into 1 1540196447.924 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.924 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1540196447.924 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1540196447.925 * [misc]taylor: Taking taylor expansion of n in k 1540196447.925 * [misc]backup-simplify: Simplify n into n 1540196447.925 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1540196447.925 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1540196447.925 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196447.925 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196447.925 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196447.925 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1540196447.925 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540196447.925 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 (/ 1 k)))) in k 1540196447.925 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log PI))) in k 1540196447.926 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log PI)) in k 1540196447.926 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1540196447.926 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196447.926 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.926 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196447.926 * [misc]taylor: Taking taylor expansion of k in k 1540196447.926 * [misc]backup-simplify: Simplify 0 into 0 1540196447.926 * [misc]backup-simplify: Simplify 1 into 1 1540196447.926 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.926 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196447.926 * [misc]taylor: Taking taylor expansion of PI in k 1540196447.926 * [misc]backup-simplify: Simplify PI into PI 1540196447.926 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196447.926 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196447.927 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196447.927 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540196447.927 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log PI))) into (exp (* -1/2 (/ (log PI) k))) 1540196447.927 * [misc]taylor: Taking taylor expansion of (sqrt (* k PI)) in k 1540196447.927 * [misc]taylor: Taking taylor expansion of (* k PI) in k 1540196447.928 * [misc]taylor: Taking taylor expansion of k in k 1540196447.928 * [misc]backup-simplify: Simplify 0 into 0 1540196447.928 * [misc]backup-simplify: Simplify 1 into 1 1540196447.928 * [misc]taylor: Taking taylor expansion of PI in k 1540196447.928 * [misc]backup-simplify: Simplify PI into PI 1540196447.928 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196447.928 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196447.929 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196447.929 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196447.929 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k)))))) (sqrt (* k PI))) in n 1540196447.929 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k)))))) in n 1540196447.929 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196447.929 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1540196447.929 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1540196447.929 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196447.929 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.929 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.929 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196447.929 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.929 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.930 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196447.930 * [misc]taylor: Taking taylor expansion of k in n 1540196447.930 * [misc]backup-simplify: Simplify k into k 1540196447.930 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196447.930 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196447.930 * [misc]taylor: Taking taylor expansion of 2 in n 1540196447.930 * [misc]backup-simplify: Simplify 2 into 2 1540196447.930 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.930 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196447.930 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196447.930 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196447.930 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1540196447.931 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196447.931 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) in n 1540196447.931 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196447.931 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540196447.931 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540196447.931 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196447.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.931 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196447.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.931 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196447.931 * [misc]taylor: Taking taylor expansion of k in n 1540196447.931 * [misc]backup-simplify: Simplify k into k 1540196447.931 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196447.931 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540196447.931 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196447.931 * [misc]taylor: Taking taylor expansion of n in n 1540196447.931 * [misc]backup-simplify: Simplify 0 into 0 1540196447.931 * [misc]backup-simplify: Simplify 1 into 1 1540196447.931 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.932 * [misc]backup-simplify: Simplify (log 1) into 0 1540196447.932 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196447.932 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196447.932 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196447.932 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196447.932 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540196447.932 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1540196447.932 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 (/ 1 k)))) in n 1540196447.932 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log PI))) in n 1540196447.932 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log PI)) in n 1540196447.932 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1540196447.932 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196447.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.932 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196447.932 * [misc]taylor: Taking taylor expansion of k in n 1540196447.932 * [misc]backup-simplify: Simplify k into k 1540196447.932 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196447.932 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196447.932 * [misc]taylor: Taking taylor expansion of PI in n 1540196447.932 * [misc]backup-simplify: Simplify PI into PI 1540196447.932 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196447.933 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196447.933 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196447.933 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (log PI)) into (* -1/2 (/ (log PI) k)) 1540196447.933 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log PI) k))) into (exp (* -1/2 (/ (log PI) k))) 1540196447.933 * [misc]taylor: Taking taylor expansion of (sqrt (* k PI)) in n 1540196447.933 * [misc]taylor: Taking taylor expansion of (* k PI) in n 1540196447.933 * [misc]taylor: Taking taylor expansion of k in n 1540196447.933 * [misc]backup-simplify: Simplify k into k 1540196447.933 * [misc]taylor: Taking taylor expansion of PI in n 1540196447.933 * [misc]backup-simplify: Simplify PI into PI 1540196447.933 * [misc]backup-simplify: Simplify (* k PI) into (* PI k) 1540196447.933 * [misc]backup-simplify: Simplify (sqrt (* PI k)) into (sqrt (* PI k)) 1540196447.934 * [misc]backup-simplify: Simplify (+ (* k 0) (* 0 PI)) into 0 1540196447.934 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* PI k)))) into 0 1540196447.934 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k)))))) (sqrt (* k PI))) in n 1540196447.934 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k)))))) in n 1540196447.934 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196447.934 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1540196447.934 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1540196447.934 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196447.934 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.934 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.934 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196447.934 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.934 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.934 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196447.934 * [misc]taylor: Taking taylor expansion of k in n 1540196447.934 * [misc]backup-simplify: Simplify k into k 1540196447.934 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196447.934 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196447.934 * [misc]taylor: Taking taylor expansion of 2 in n 1540196447.934 * [misc]backup-simplify: Simplify 2 into 2 1540196447.934 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.934 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196447.934 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196447.934 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196447.934 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1540196447.935 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196447.935 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) (pow PI (- (* 1/2 (/ 1 k))))) in n 1540196447.935 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196447.935 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540196447.935 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540196447.935 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196447.935 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.935 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196447.935 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.935 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196447.935 * [misc]taylor: Taking taylor expansion of k in n 1540196447.935 * [misc]backup-simplify: Simplify k into k 1540196447.935 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196447.935 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540196447.935 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196447.935 * [misc]taylor: Taking taylor expansion of n in n 1540196447.935 * [misc]backup-simplify: Simplify 0 into 0 1540196447.935 * [misc]backup-simplify: Simplify 1 into 1 1540196447.935 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.935 * [misc]backup-simplify: Simplify (log 1) into 0 1540196447.935 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196447.935 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196447.935 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196447.936 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196447.936 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540196447.936 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1540196447.936 * [misc]taylor: Taking taylor expansion of (pow PI (- (* 1/2 (/ 1 k)))) in n 1540196447.936 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log PI))) in n 1540196447.936 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log PI)) in n 1540196447.936 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1540196447.936 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196447.936 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196447.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.936 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196447.936 * [misc]taylor: Taking taylor expansion of k in n 1540196447.936 * [misc]backup-simplify: Simplify k into k 1540196447.936 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196447.936 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196447.936 * [misc]taylor: Taking taylor expansion of PI in n 1540196447.936 * [misc]backup-simplify: Simplify PI into PI 1540196447.936 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196447.936 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196447.936 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196447.937 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (log PI)) into (* -1/2 (/ (log PI) k)) 1540196447.937 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log PI) k))) into (exp (* -1/2 (/ (log PI) k))) 1540196447.937 * [misc]taylor: Taking taylor expansion of (sqrt (* k PI)) in n 1540196447.937 * [misc]taylor: Taking taylor expansion of (* k PI) in n 1540196447.937 * [misc]taylor: Taking taylor expansion of k in n 1540196447.937 * [misc]backup-simplify: Simplify k into k 1540196447.937 * [misc]taylor: Taking taylor expansion of PI in n 1540196447.937 * [misc]backup-simplify: Simplify PI into PI 1540196447.937 * [misc]backup-simplify: Simplify (* k PI) into (* PI k) 1540196447.937 * [misc]backup-simplify: Simplify (sqrt (* PI k)) into (sqrt (* PI k)) 1540196447.937 * [misc]backup-simplify: Simplify (+ (* k 0) (* 0 PI)) into 0 1540196447.937 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* PI k)))) into 0 1540196447.938 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* -1/2 (/ (log PI) k)))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* -1/2 (/ (log PI) k)))) 1540196447.938 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* -1/2 (/ (log PI) k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) 1540196447.939 * [misc]backup-simplify: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) (sqrt (* PI k))) into (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) (sqrt (* PI k))) 1540196447.939 * [misc]taylor: Taking taylor expansion of (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) (sqrt (* PI k))) in k 1540196447.939 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) in k 1540196447.939 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1540196447.939 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1540196447.939 * [misc]taylor: Taking taylor expansion of -1 in k 1540196447.939 * [misc]backup-simplify: Simplify -1 into -1 1540196447.939 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1540196447.939 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196447.939 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.939 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196447.939 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.939 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196447.939 * [misc]taylor: Taking taylor expansion of k in k 1540196447.939 * [misc]backup-simplify: Simplify 0 into 0 1540196447.939 * [misc]backup-simplify: Simplify 1 into 1 1540196447.939 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.939 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196447.939 * [misc]taylor: Taking taylor expansion of n in k 1540196447.939 * [misc]backup-simplify: Simplify n into n 1540196447.939 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196447.939 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196447.939 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196447.939 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196447.939 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1540196447.940 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1540196447.940 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1540196447.940 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k)))) in k 1540196447.940 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196447.940 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196447.940 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196447.940 * [misc]taylor: Taking taylor expansion of 2 in k 1540196447.940 * [misc]backup-simplify: Simplify 2 into 2 1540196447.940 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196447.940 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196447.940 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.940 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196447.940 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196447.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196447.940 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196447.940 * [misc]taylor: Taking taylor expansion of k in k 1540196447.940 * [misc]backup-simplify: Simplify 0 into 0 1540196447.940 * [misc]backup-simplify: Simplify 1 into 1 1540196447.940 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196447.940 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196447.940 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196447.940 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196447.941 * [misc]backup-simplify: Simplify (* (log 2) -1/2) into (* -1/2 (log 2)) 1540196447.941 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196447.941 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log PI) k))) in k 1540196447.941 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log PI) k)) in k 1540196447.941 * [misc]taylor: Taking taylor expansion of -1/2 in k 1540196447.941 * [misc]backup-simplify: Simplify -1/2 into -1/2 1540196447.941 * [misc]taylor: Taking taylor expansion of (/ (log PI) k) in k 1540196447.941 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196447.941 * [misc]taylor: Taking taylor expansion of PI in k 1540196447.941 * [misc]backup-simplify: Simplify PI into PI 1540196447.941 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196447.941 * [misc]taylor: Taking taylor expansion of k in k 1540196447.941 * [misc]backup-simplify: Simplify 0 into 0 1540196447.941 * [misc]backup-simplify: Simplify 1 into 1 1540196447.941 * [misc]backup-simplify: Simplify (/ (log PI) 1) into (log PI) 1540196447.942 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540196447.942 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (log PI) k))) into (exp (* -1/2 (/ (log PI) k))) 1540196447.942 * [misc]taylor: Taking taylor expansion of (sqrt (* PI k)) in k 1540196447.942 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1540196447.942 * [misc]taylor: Taking taylor expansion of PI in k 1540196447.942 * [misc]backup-simplify: Simplify PI into PI 1540196447.942 * [misc]taylor: Taking taylor expansion of k in k 1540196447.942 * [misc]backup-simplify: Simplify 0 into 0 1540196447.942 * [misc]backup-simplify: Simplify 1 into 1 1540196447.942 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196447.943 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196447.943 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196447.943 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196447.943 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k)))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k)))) 1540196447.944 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) 1540196447.944 * [misc]backup-simplify: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) 0) into 0 1540196447.944 * [misc]backup-simplify: Simplify 0 into 0 1540196447.945 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196447.946 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196447.946 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196447.946 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196447.946 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.947 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1540196447.947 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log PI) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196447.948 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540196447.949 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540196447.949 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196447.949 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196447.949 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.949 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.949 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196447.950 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1540196447.950 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196447.951 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (exp (* -1/2 (/ (log PI) k))))) into 0 1540196447.952 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196447.952 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196447.952 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196447.952 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.952 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.953 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log 2))) into 0 1540196447.953 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196447.954 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* -1/2 (/ (log PI) k)))))) into 0 1540196447.954 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) 0) (* 0 (sqrt (* PI k)))) into 0 1540196447.954 * [misc]taylor: Taking taylor expansion of 0 in k 1540196447.954 * [misc]backup-simplify: Simplify 0 into 0 1540196447.954 * [misc]backup-simplify: Simplify 0 into 0 1540196447.955 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (exp (* -1/2 (/ (log PI) k))))) into 0 1540196447.955 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k)))))) into 0 1540196447.956 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1/2 (/ (log PI) k))) PI))))) 1540196447.957 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1/2 (/ (log PI) k))) PI))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1/2 (/ (log PI) k))) PI))))) 1540196447.957 * [misc]backup-simplify: Simplify (+ (* k 0) (+ (* 0 0) (* 0 PI))) into 0 1540196447.958 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (* PI k)))) into 0 1540196447.958 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196447.960 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540196447.960 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.960 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196447.961 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196447.961 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.961 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1540196447.962 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log PI) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196447.963 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196447.966 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540196447.967 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196447.967 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196447.967 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.967 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.968 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196447.968 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1540196447.970 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196447.970 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log PI) k)))))) into 0 1540196447.973 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540196447.973 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196447.974 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196447.974 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.974 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.974 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1540196447.975 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196447.976 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* -1/2 (/ (log PI) k))))))) into 0 1540196447.976 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) 0) (+ (* 0 0) (* 0 (sqrt (* PI k))))) into 0 1540196447.976 * [misc]taylor: Taking taylor expansion of 0 in k 1540196447.976 * [misc]backup-simplify: Simplify 0 into 0 1540196447.976 * [misc]backup-simplify: Simplify 0 into 0 1540196447.977 * [misc]backup-simplify: Simplify 0 into 0 1540196447.977 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1540196447.978 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540196447.978 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log PI) k)))))) into 0 1540196447.979 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))))) into 0 1540196447.980 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1/2 (/ (log PI) k))) (pow PI 2)))))) 1540196447.981 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1/2 (/ (log PI) k))) (pow PI 2)))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1/2 (/ (log PI) k))) (pow PI 2)))))) 1540196447.982 * [misc]backup-simplify: Simplify (+ (* k 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1540196447.982 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (* PI k)))) into 0 1540196447.982 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196447.986 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1540196447.987 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.987 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.987 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196447.987 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540196447.987 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.988 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1540196447.990 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log PI) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540196447.990 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196447.994 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1540196447.994 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196447.995 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540196447.995 * [misc]backup-simplify: Simplify (- 0) into 0 1540196447.995 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196447.995 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196447.995 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1540196447.997 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540196447.998 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log PI) k))))))) into 0 1540196448.002 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1540196448.002 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196448.002 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540196448.002 * [misc]backup-simplify: Simplify (- 0) into 0 1540196448.002 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.003 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1540196448.005 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540196448.005 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (exp (* -1/2 (/ (log PI) k)))))))) into 0 1540196448.006 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (* PI k)))))) into 0 1540196448.006 * [misc]taylor: Taking taylor expansion of 0 in k 1540196448.006 * [misc]backup-simplify: Simplify 0 into 0 1540196448.006 * [misc]backup-simplify: Simplify 0 into 0 1540196448.006 * [misc]backup-simplify: Simplify 0 into 0 1540196448.006 * [misc]backup-simplify: Simplify 0 into 0 1540196448.007 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540196448.008 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1540196448.009 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log PI) k))))))) into 0 1540196448.010 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k)))))))) into 0 1540196448.012 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (exp (* -1/2 (/ (log PI) k))))) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1/2 (/ (log PI) k))) (pow PI 3)))))) 1540196448.012 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1/2 (/ (log PI) k))) (pow PI 3)))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1/2 (/ (log PI) k))) (pow PI 3)))))) 1540196448.016 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (* (exp (* -1/2 (/ (log PI) (/ 1 k)))) (pow PI 3)))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (* (exp (* -1/2 (/ (log PI) (/ 1 k)))) (pow PI 2)))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (* (exp (* -1/2 (/ (log PI) (/ 1 k)))) PI))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* -1/2 (* (log PI) k))) (* (pow PI 2) (exp (* (log 2) (- 1/2 (* 1/2 k))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* -1/2 (* (log PI) k))) (* PI (exp (* (log 2) (- 1/2 (* 1/2 k))))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* -1/2 (* (log PI) k))) (* (pow PI 3) (exp (* (log 2) (- 1/2 (* 1/2 k))))))) (pow k 3)))))))) 1540196448.017 * [misc]backup-simplify: Simplify (* (* (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt PI)) (/ (pow PI (- (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow 2 (- 1/2 (/ (/ 1 (- k)) 2)))))) into (* (/ (* (pow PI (* 1/2 (/ 1 k))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) (sqrt PI)) 1540196448.017 * [misc]approximate: Taking taylor expansion of (* (/ (* (pow PI (* 1/2 (/ 1 k))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) (sqrt PI)) in (n k) around 0 1540196448.017 * [misc]taylor: Taking taylor expansion of (* (/ (* (pow PI (* 1/2 (/ 1 k))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) (sqrt PI)) in k 1540196448.017 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (* 1/2 (/ 1 k))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k 1540196448.017 * [misc]taylor: Taking taylor expansion of (* (pow PI (* 1/2 (/ 1 k))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1540196448.017 * [misc]taylor: Taking taylor expansion of (pow PI (* 1/2 (/ 1 k))) in k 1540196448.017 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log PI))) in k 1540196448.017 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log PI)) in k 1540196448.017 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196448.017 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.017 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196448.017 * [misc]taylor: Taking taylor expansion of k in k 1540196448.017 * [misc]backup-simplify: Simplify 0 into 0 1540196448.017 * [misc]backup-simplify: Simplify 1 into 1 1540196448.017 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196448.017 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196448.017 * [misc]taylor: Taking taylor expansion of PI in k 1540196448.017 * [misc]backup-simplify: Simplify PI into PI 1540196448.017 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196448.017 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196448.018 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196448.018 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log PI))) into (exp (* 1/2 (/ (log PI) k))) 1540196448.018 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196448.018 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196448.018 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1540196448.018 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1540196448.018 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196448.018 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196448.018 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.018 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196448.018 * [misc]taylor: Taking taylor expansion of k in k 1540196448.018 * [misc]backup-simplify: Simplify 0 into 0 1540196448.018 * [misc]backup-simplify: Simplify 1 into 1 1540196448.018 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196448.018 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.018 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1540196448.018 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1540196448.018 * [misc]taylor: Taking taylor expansion of -1 in k 1540196448.018 * [misc]backup-simplify: Simplify -1 into -1 1540196448.018 * [misc]taylor: Taking taylor expansion of n in k 1540196448.018 * [misc]backup-simplify: Simplify n into n 1540196448.018 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1540196448.018 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1540196448.018 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196448.019 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196448.019 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1540196448.019 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196448.019 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196448.019 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540196448.019 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540196448.019 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196448.019 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196448.019 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.019 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196448.019 * [misc]taylor: Taking taylor expansion of k in k 1540196448.019 * [misc]backup-simplify: Simplify 0 into 0 1540196448.019 * [misc]backup-simplify: Simplify 1 into 1 1540196448.019 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196448.019 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.019 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196448.019 * [misc]taylor: Taking taylor expansion of 2 in k 1540196448.019 * [misc]backup-simplify: Simplify 2 into 2 1540196448.019 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196448.019 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196448.019 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196448.020 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196448.020 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196448.020 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196448.020 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196448.020 * [misc]taylor: Taking taylor expansion of -1 in k 1540196448.020 * [misc]backup-simplify: Simplify -1 into -1 1540196448.020 * [misc]taylor: Taking taylor expansion of k in k 1540196448.020 * [misc]backup-simplify: Simplify 0 into 0 1540196448.020 * [misc]backup-simplify: Simplify 1 into 1 1540196448.020 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196448.020 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196448.020 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196448.021 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196448.021 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* 1/2 (/ (log PI) k))))) 1540196448.022 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* 1/2 (/ (log PI) k))))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (exp (* 1/2 (/ (log PI) k)))))) 1540196448.022 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540196448.022 * [misc]taylor: Taking taylor expansion of PI in k 1540196448.022 * [misc]backup-simplify: Simplify PI into PI 1540196448.022 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.022 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.022 * [misc]taylor: Taking taylor expansion of (* (/ (* (pow PI (* 1/2 (/ 1 k))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) (sqrt PI)) in n 1540196448.022 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (* 1/2 (/ 1 k))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in n 1540196448.022 * [misc]taylor: Taking taylor expansion of (* (pow PI (* 1/2 (/ 1 k))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196448.022 * [misc]taylor: Taking taylor expansion of (pow PI (* 1/2 (/ 1 k))) in n 1540196448.022 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log PI))) in n 1540196448.022 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log PI)) in n 1540196448.022 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196448.022 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.022 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.023 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196448.023 * [misc]taylor: Taking taylor expansion of k in n 1540196448.023 * [misc]backup-simplify: Simplify k into k 1540196448.023 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196448.023 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196448.023 * [misc]taylor: Taking taylor expansion of PI in n 1540196448.023 * [misc]backup-simplify: Simplify PI into PI 1540196448.023 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196448.023 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196448.023 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (log PI)) into (* 1/2 (/ (log PI) k)) 1540196448.023 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (log PI) k))) into (exp (* 1/2 (/ (log PI) k))) 1540196448.023 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196448.023 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196448.023 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196448.023 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196448.023 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196448.023 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196448.023 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.023 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.023 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196448.023 * [misc]taylor: Taking taylor expansion of k in n 1540196448.023 * [misc]backup-simplify: Simplify k into k 1540196448.023 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196448.023 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.023 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.024 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196448.024 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196448.024 * [misc]taylor: Taking taylor expansion of -1 in n 1540196448.024 * [misc]backup-simplify: Simplify -1 into -1 1540196448.024 * [misc]taylor: Taking taylor expansion of n in n 1540196448.024 * [misc]backup-simplify: Simplify 0 into 0 1540196448.024 * [misc]backup-simplify: Simplify 1 into 1 1540196448.024 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196448.024 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196448.024 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196448.024 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196448.024 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196448.024 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196448.025 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196448.025 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196448.025 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1540196448.025 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1540196448.025 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196448.025 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196448.025 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.025 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.025 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196448.025 * [misc]taylor: Taking taylor expansion of k in n 1540196448.025 * [misc]backup-simplify: Simplify k into k 1540196448.025 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196448.025 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.025 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.025 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196448.025 * [misc]taylor: Taking taylor expansion of 2 in n 1540196448.025 * [misc]backup-simplify: Simplify 2 into 2 1540196448.025 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196448.025 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196448.025 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196448.025 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196448.025 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196448.025 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540196448.025 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540196448.025 * [misc]taylor: Taking taylor expansion of -1 in n 1540196448.026 * [misc]backup-simplify: Simplify -1 into -1 1540196448.026 * [misc]taylor: Taking taylor expansion of k in n 1540196448.026 * [misc]backup-simplify: Simplify k into k 1540196448.026 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540196448.026 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540196448.026 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540196448.026 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540196448.026 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1540196448.027 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1540196448.027 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 1540196448.027 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540196448.027 * [misc]taylor: Taking taylor expansion of PI in n 1540196448.027 * [misc]backup-simplify: Simplify PI into PI 1540196448.028 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.028 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.028 * [misc]taylor: Taking taylor expansion of (* (/ (* (pow PI (* 1/2 (/ 1 k))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) (sqrt PI)) in n 1540196448.029 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI (* 1/2 (/ 1 k))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in n 1540196448.029 * [misc]taylor: Taking taylor expansion of (* (pow PI (* 1/2 (/ 1 k))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196448.029 * [misc]taylor: Taking taylor expansion of (pow PI (* 1/2 (/ 1 k))) in n 1540196448.029 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log PI))) in n 1540196448.029 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log PI)) in n 1540196448.029 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196448.029 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.029 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.029 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196448.029 * [misc]taylor: Taking taylor expansion of k in n 1540196448.029 * [misc]backup-simplify: Simplify k into k 1540196448.029 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196448.029 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196448.029 * [misc]taylor: Taking taylor expansion of PI in n 1540196448.029 * [misc]backup-simplify: Simplify PI into PI 1540196448.029 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196448.029 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196448.030 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (log PI)) into (* 1/2 (/ (log PI) k)) 1540196448.030 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (log PI) k))) into (exp (* 1/2 (/ (log PI) k))) 1540196448.030 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196448.030 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196448.030 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196448.030 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196448.030 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196448.030 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196448.030 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.030 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196448.030 * [misc]taylor: Taking taylor expansion of k in n 1540196448.030 * [misc]backup-simplify: Simplify k into k 1540196448.030 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196448.030 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.030 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196448.030 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196448.030 * [misc]taylor: Taking taylor expansion of -1 in n 1540196448.030 * [misc]backup-simplify: Simplify -1 into -1 1540196448.031 * [misc]taylor: Taking taylor expansion of n in n 1540196448.031 * [misc]backup-simplify: Simplify 0 into 0 1540196448.031 * [misc]backup-simplify: Simplify 1 into 1 1540196448.031 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196448.031 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196448.031 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196448.031 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196448.031 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196448.032 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196448.032 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196448.032 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196448.032 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1540196448.032 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1540196448.032 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196448.032 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196448.032 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.032 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196448.032 * [misc]taylor: Taking taylor expansion of k in n 1540196448.032 * [misc]backup-simplify: Simplify k into k 1540196448.032 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196448.032 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.033 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196448.033 * [misc]taylor: Taking taylor expansion of 2 in n 1540196448.033 * [misc]backup-simplify: Simplify 2 into 2 1540196448.033 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196448.033 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196448.033 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196448.033 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196448.033 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196448.033 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540196448.034 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540196448.034 * [misc]taylor: Taking taylor expansion of -1 in n 1540196448.034 * [misc]backup-simplify: Simplify -1 into -1 1540196448.034 * [misc]taylor: Taking taylor expansion of k in n 1540196448.034 * [misc]backup-simplify: Simplify k into k 1540196448.034 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540196448.034 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540196448.034 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540196448.034 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540196448.035 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1540196448.036 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1540196448.037 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 1540196448.037 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540196448.037 * [misc]taylor: Taking taylor expansion of PI in n 1540196448.037 * [misc]backup-simplify: Simplify PI into PI 1540196448.037 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.038 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.039 * [misc]backup-simplify: Simplify (* (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt (/ -1 k))) (sqrt PI)) into (* (sqrt PI) (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt (/ -1 k)))) 1540196448.039 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt (/ -1 k)))) in k 1540196448.039 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540196448.039 * [misc]taylor: Taking taylor expansion of PI in k 1540196448.040 * [misc]backup-simplify: Simplify PI into PI 1540196448.040 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.040 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.040 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt (/ -1 k))) in k 1540196448.041 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) in k 1540196448.041 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196448.041 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196448.041 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196448.041 * [misc]taylor: Taking taylor expansion of 2 in k 1540196448.041 * [misc]backup-simplify: Simplify 2 into 2 1540196448.041 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196448.041 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196448.041 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196448.041 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.041 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196448.041 * [misc]taylor: Taking taylor expansion of k in k 1540196448.041 * [misc]backup-simplify: Simplify 0 into 0 1540196448.041 * [misc]backup-simplify: Simplify 1 into 1 1540196448.041 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196448.041 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.042 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196448.042 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196448.042 * [misc]backup-simplify: Simplify (* (log 2) 1/2) into (* 1/2 (log 2)) 1540196448.042 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196448.042 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) in k 1540196448.042 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log PI) k))) in k 1540196448.042 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log PI) k)) in k 1540196448.042 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.042 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.042 * [misc]taylor: Taking taylor expansion of (/ (log PI) k) in k 1540196448.042 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196448.043 * [misc]taylor: Taking taylor expansion of PI in k 1540196448.043 * [misc]backup-simplify: Simplify PI into PI 1540196448.043 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196448.043 * [misc]taylor: Taking taylor expansion of k in k 1540196448.043 * [misc]backup-simplify: Simplify 0 into 0 1540196448.043 * [misc]backup-simplify: Simplify 1 into 1 1540196448.043 * [misc]backup-simplify: Simplify (/ (log PI) 1) into (log PI) 1540196448.044 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196448.044 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (log PI) k))) into (exp (* 1/2 (/ (log PI) k))) 1540196448.044 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1540196448.044 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1540196448.044 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196448.044 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196448.044 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.044 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196448.044 * [misc]taylor: Taking taylor expansion of k in k 1540196448.044 * [misc]backup-simplify: Simplify 0 into 0 1540196448.044 * [misc]backup-simplify: Simplify 1 into 1 1540196448.045 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196448.045 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.045 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.045 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1540196448.045 * [misc]taylor: Taking taylor expansion of (log -1) in k 1540196448.045 * [misc]taylor: Taking taylor expansion of -1 in k 1540196448.045 * [misc]backup-simplify: Simplify -1 into -1 1540196448.045 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196448.045 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196448.045 * [misc]taylor: Taking taylor expansion of n in k 1540196448.045 * [misc]backup-simplify: Simplify n into n 1540196448.045 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196448.045 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196448.045 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196448.045 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540196448.046 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1540196448.046 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1540196448.046 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196448.046 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196448.046 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196448.046 * [misc]taylor: Taking taylor expansion of -1 in k 1540196448.046 * [misc]backup-simplify: Simplify -1 into -1 1540196448.046 * [misc]taylor: Taking taylor expansion of k in k 1540196448.046 * [misc]backup-simplify: Simplify 0 into 0 1540196448.046 * [misc]backup-simplify: Simplify 1 into 1 1540196448.047 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196448.047 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196448.047 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196448.048 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1540196448.049 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1540196448.050 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) 1540196448.051 * [misc]backup-simplify: Simplify (* (sqrt PI) (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) into (* +nan.0 (* (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt PI))) 1540196448.052 * [misc]backup-simplify: Simplify (* +nan.0 (* (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt PI))) into (* +nan.0 (* (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt PI))) 1540196448.055 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196448.055 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196448.055 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196448.055 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.055 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log 2))) into 0 1540196448.057 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196448.057 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196448.059 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1540196448.059 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196448.060 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196448.060 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.060 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196448.061 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1540196448.062 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196448.063 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1540196448.065 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196448.065 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196448.065 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196448.066 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (log PI))) into 0 1540196448.067 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196448.068 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log PI) k))) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1540196448.069 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1540196448.071 * [misc]backup-simplify: Simplify (+ (* (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 0) (* 0 (sqrt PI))) into 0 1540196448.071 * [misc]taylor: Taking taylor expansion of 0 in k 1540196448.071 * [misc]backup-simplify: Simplify 0 into 0 1540196448.071 * [misc]backup-simplify: Simplify 0 into 0 1540196448.071 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log PI) k))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into 0 1540196448.072 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1540196448.073 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196448.074 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196448.075 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) 1540196448.077 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))))) (* 0 (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))))) into (- (* +nan.0 (* (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt PI)))) 1540196448.079 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt PI)))) into (- (* +nan.0 (* (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt PI)))) 1540196448.080 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540196448.085 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540196448.085 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196448.085 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196448.085 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.086 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log 2)))) into 0 1540196448.088 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196448.088 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196448.092 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1540196448.093 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196448.093 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196448.093 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.094 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196448.094 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1540196448.096 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196448.097 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1540196448.101 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540196448.101 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196448.102 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196448.103 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1540196448.104 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log PI) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196448.106 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log PI) k))) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) into 0 1540196448.106 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196448.107 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1540196448.108 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0 1540196448.109 * [misc]backup-simplify: Simplify (+ (* (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt (/ -1 k))) 0) (+ (* 0 0) (* 0 (sqrt PI)))) into 0 1540196448.109 * [misc]taylor: Taking taylor expansion of 0 in k 1540196448.109 * [misc]backup-simplify: Simplify 0 into 0 1540196448.109 * [misc]backup-simplify: Simplify 0 into 0 1540196448.109 * [misc]backup-simplify: Simplify 0 into 0 1540196448.109 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log PI) k))) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1540196448.110 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) into 0 1540196448.110 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196448.111 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196448.113 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))) 1540196448.114 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540196448.116 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))))) (+ (* 0 (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))))) (* 0 (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))))))) into (- (* +nan.0 (* (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt PI)))) 1540196448.116 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt PI)))) into (- (* +nan.0 (* (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* 1/2 (/ (log PI) k))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) (sqrt PI)))) 1540196448.120 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* 1/2 (/ (log PI) (/ 1 (- k))))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))) (sqrt PI)))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* 1/2 (/ (log PI) (/ 1 (- k))))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))) (sqrt PI)))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* 1/2 (/ (log PI) (/ 1 (- k))))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))) (sqrt PI))))) into (- (+ (* +nan.0 (* (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k))))) k) (sqrt PI))) (- (+ (* +nan.0 (* (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* -1/2 (* (log PI) k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (pow k 2)) (sqrt PI))) (- (* +nan.0 (* (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* -1/2 (* (log PI) k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (sqrt PI)))))))) 1540196448.120 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1540196448.120 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) into (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) 1540196448.120 * [misc]approximate: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) in (n k) around 0 1540196448.120 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) in k 1540196448.120 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540196448.120 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540196448.120 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540196448.120 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196448.120 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.120 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196448.120 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.121 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.121 * [misc]taylor: Taking taylor expansion of k in k 1540196448.121 * [misc]backup-simplify: Simplify 0 into 0 1540196448.121 * [misc]backup-simplify: Simplify 1 into 1 1540196448.121 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196448.121 * [misc]taylor: Taking taylor expansion of n in k 1540196448.121 * [misc]backup-simplify: Simplify n into n 1540196448.121 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196448.121 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196448.121 * [misc]backup-simplify: Simplify (- 0) into 0 1540196448.121 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196448.121 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540196448.121 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540196448.121 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540196448.121 * [misc]taylor: Taking taylor expansion of PI in k 1540196448.121 * [misc]backup-simplify: Simplify PI into PI 1540196448.121 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.122 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.122 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) in n 1540196448.122 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1540196448.122 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1540196448.122 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1540196448.122 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196448.122 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.122 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196448.122 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.122 * [misc]taylor: Taking taylor expansion of k in n 1540196448.122 * [misc]backup-simplify: Simplify k into k 1540196448.122 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196448.122 * [misc]taylor: Taking taylor expansion of n in n 1540196448.122 * [misc]backup-simplify: Simplify 0 into 0 1540196448.122 * [misc]backup-simplify: Simplify 1 into 1 1540196448.122 * [misc]backup-simplify: Simplify (log 1) into 0 1540196448.122 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196448.122 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196448.122 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196448.122 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196448.122 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1540196448.123 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1540196448.123 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540196448.123 * [misc]taylor: Taking taylor expansion of PI in n 1540196448.123 * [misc]backup-simplify: Simplify PI into PI 1540196448.123 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.123 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.123 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) in n 1540196448.123 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1540196448.123 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1540196448.123 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1540196448.123 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196448.123 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.123 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196448.123 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.123 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.123 * [misc]taylor: Taking taylor expansion of k in n 1540196448.123 * [misc]backup-simplify: Simplify k into k 1540196448.123 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196448.123 * [misc]taylor: Taking taylor expansion of n in n 1540196448.123 * [misc]backup-simplify: Simplify 0 into 0 1540196448.124 * [misc]backup-simplify: Simplify 1 into 1 1540196448.124 * [misc]backup-simplify: Simplify (log 1) into 0 1540196448.124 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196448.124 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196448.124 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196448.124 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196448.124 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1540196448.124 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1540196448.124 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540196448.124 * [misc]taylor: Taking taylor expansion of PI in n 1540196448.124 * [misc]backup-simplify: Simplify PI into PI 1540196448.124 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.125 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.125 * [misc]backup-simplify: Simplify (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) into (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) 1540196448.125 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (sqrt PI)) in k 1540196448.125 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540196448.125 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540196448.125 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540196448.125 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196448.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.125 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196448.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.125 * [misc]taylor: Taking taylor expansion of k in k 1540196448.125 * [misc]backup-simplify: Simplify 0 into 0 1540196448.125 * [misc]backup-simplify: Simplify 1 into 1 1540196448.125 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196448.125 * [misc]taylor: Taking taylor expansion of n in k 1540196448.125 * [misc]backup-simplify: Simplify n into n 1540196448.125 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196448.125 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196448.126 * [misc]backup-simplify: Simplify (- 0) into 0 1540196448.126 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196448.126 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540196448.126 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540196448.126 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540196448.126 * [misc]taylor: Taking taylor expansion of PI in k 1540196448.126 * [misc]backup-simplify: Simplify PI into PI 1540196448.126 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.126 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.127 * [misc]backup-simplify: Simplify (* (pow n 1/2) (sqrt PI)) into (sqrt (* n PI)) 1540196448.127 * [misc]backup-simplify: Simplify (sqrt (* n PI)) into (sqrt (* n PI)) 1540196448.128 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540196448.128 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1540196448.128 * [misc]backup-simplify: Simplify (- 0) into 0 1540196448.128 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.128 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196448.129 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log n))) into 0 1540196448.129 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196448.130 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (* 0 (sqrt PI))) into 0 1540196448.130 * [misc]taylor: Taking taylor expansion of 0 in k 1540196448.130 * [misc]backup-simplify: Simplify 0 into 0 1540196448.130 * [misc]backup-simplify: Simplify 0 into 0 1540196448.130 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540196448.130 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196448.130 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196448.131 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196448.131 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1540196448.131 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1540196448.131 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) 0) (* (* -1/2 (* (sqrt n) (log n))) (sqrt PI))) into (- (* 1/2 (* (sqrt (* n PI)) (log n)))) 1540196448.131 * [misc]backup-simplify: Simplify (- (* 1/2 (* (sqrt (* n PI)) (log n)))) into (- (* 1/2 (* (sqrt (* n PI)) (log n)))) 1540196448.132 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540196448.134 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540196448.135 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1540196448.135 * [misc]backup-simplify: Simplify (- 0) into 0 1540196448.135 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.135 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196448.135 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0 1540196448.137 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log n))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196448.138 * [misc]backup-simplify: Simplify (+ (* (pow n (- 1/2 (* 1/2 k))) 0) (+ (* 0 0) (* 0 (sqrt PI)))) into 0 1540196448.138 * [misc]taylor: Taking taylor expansion of 0 in k 1540196448.138 * [misc]backup-simplify: Simplify 0 into 0 1540196448.138 * [misc]backup-simplify: Simplify 0 into 0 1540196448.138 * [misc]backup-simplify: Simplify 0 into 0 1540196448.140 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540196448.141 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540196448.142 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196448.142 * [misc]backup-simplify: Simplify (- 0) into 0 1540196448.142 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.142 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1540196448.143 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1540196448.144 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) 0) (+ (* (* -1/2 (* (sqrt n) (log n))) 0) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (sqrt PI)))) into (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) 1540196448.144 * [misc]backup-simplify: Simplify (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) into (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) 1540196448.145 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (- (* 1/2 (* (sqrt (* n PI)) (log n)))) (* k 1)) (sqrt (* n PI)))) into (- (+ (* 1/8 (* (sqrt (* n PI)) (* (pow (log n) 2) (pow k 2)))) (sqrt (* n PI))) (* 1/2 (* (sqrt (* n PI)) (* (log n) k)))) 1540196448.146 * [misc]backup-simplify: Simplify (* (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))) (sqrt PI)) into (* (sqrt PI) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540196448.146 * [misc]approximate: Taking taylor expansion of (* (sqrt PI) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1540196448.146 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196448.146 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540196448.146 * [misc]taylor: Taking taylor expansion of PI in k 1540196448.146 * [misc]backup-simplify: Simplify PI into PI 1540196448.146 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.147 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.147 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196448.147 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1540196448.147 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1540196448.147 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196448.147 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.147 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196448.147 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.147 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196448.147 * [misc]taylor: Taking taylor expansion of k in k 1540196448.147 * [misc]backup-simplify: Simplify 0 into 0 1540196448.147 * [misc]backup-simplify: Simplify 1 into 1 1540196448.147 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196448.147 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1540196448.148 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1540196448.148 * [misc]taylor: Taking taylor expansion of n in k 1540196448.148 * [misc]backup-simplify: Simplify n into n 1540196448.148 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1540196448.148 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1540196448.148 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196448.148 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196448.148 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196448.148 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1540196448.148 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540196448.149 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196448.149 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540196448.149 * [misc]taylor: Taking taylor expansion of PI in n 1540196448.149 * [misc]backup-simplify: Simplify PI into PI 1540196448.149 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.150 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.150 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196448.150 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540196448.150 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540196448.150 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196448.150 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.150 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196448.150 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.150 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196448.150 * [misc]taylor: Taking taylor expansion of k in n 1540196448.150 * [misc]backup-simplify: Simplify k into k 1540196448.150 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196448.150 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540196448.150 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196448.150 * [misc]taylor: Taking taylor expansion of n in n 1540196448.150 * [misc]backup-simplify: Simplify 0 into 0 1540196448.150 * [misc]backup-simplify: Simplify 1 into 1 1540196448.150 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196448.151 * [misc]backup-simplify: Simplify (log 1) into 0 1540196448.151 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196448.151 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196448.151 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196448.151 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196448.151 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540196448.152 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1540196448.152 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196448.152 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540196448.152 * [misc]taylor: Taking taylor expansion of PI in n 1540196448.152 * [misc]backup-simplify: Simplify PI into PI 1540196448.152 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.153 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.153 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196448.153 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540196448.153 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540196448.153 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196448.153 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.153 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196448.153 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.153 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.153 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196448.153 * [misc]taylor: Taking taylor expansion of k in n 1540196448.153 * [misc]backup-simplify: Simplify k into k 1540196448.153 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196448.153 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540196448.153 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196448.153 * [misc]taylor: Taking taylor expansion of n in n 1540196448.153 * [misc]backup-simplify: Simplify 0 into 0 1540196448.153 * [misc]backup-simplify: Simplify 1 into 1 1540196448.153 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196448.154 * [misc]backup-simplify: Simplify (log 1) into 0 1540196448.154 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196448.154 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196448.154 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196448.154 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196448.154 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540196448.154 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1540196448.155 * [misc]backup-simplify: Simplify (* (sqrt PI) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt PI)) 1540196448.155 * [misc]taylor: Taking taylor expansion of (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt PI)) in k 1540196448.155 * [misc]taylor: Taking taylor expansion of (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) in k 1540196448.155 * [misc]taylor: Taking taylor expansion of (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) in k 1540196448.155 * [misc]taylor: Taking taylor expansion of -1 in k 1540196448.155 * [misc]backup-simplify: Simplify -1 into -1 1540196448.155 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log n)) in k 1540196448.155 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196448.155 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.155 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196448.155 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.155 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196448.155 * [misc]taylor: Taking taylor expansion of k in k 1540196448.155 * [misc]backup-simplify: Simplify 0 into 0 1540196448.155 * [misc]backup-simplify: Simplify 1 into 1 1540196448.156 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196448.156 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196448.156 * [misc]taylor: Taking taylor expansion of n in k 1540196448.156 * [misc]backup-simplify: Simplify n into n 1540196448.156 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196448.157 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196448.157 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196448.157 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196448.157 * [misc]backup-simplify: Simplify (* -1/2 (log n)) into (* -1/2 (log n)) 1540196448.157 * [misc]backup-simplify: Simplify (* -1 (* -1/2 (log n))) into (* 1/2 (log n)) 1540196448.157 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1540196448.157 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540196448.158 * [misc]taylor: Taking taylor expansion of PI in k 1540196448.158 * [misc]backup-simplify: Simplify PI into PI 1540196448.158 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.159 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.159 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt PI)) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt PI)) 1540196448.159 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt PI)) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (sqrt PI)) 1540196448.160 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540196448.162 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540196448.162 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196448.162 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196448.163 * [misc]backup-simplify: Simplify (- 0) into 0 1540196448.163 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.163 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196448.163 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1540196448.164 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196448.165 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1540196448.165 * [misc]taylor: Taking taylor expansion of 0 in k 1540196448.165 * [misc]backup-simplify: Simplify 0 into 0 1540196448.165 * [misc]backup-simplify: Simplify 0 into 0 1540196448.166 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (* 0 (sqrt PI))) into 0 1540196448.166 * [misc]backup-simplify: Simplify 0 into 0 1540196448.166 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196448.170 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540196448.170 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196448.171 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196448.171 * [misc]backup-simplify: Simplify (- 0) into 0 1540196448.171 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.171 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196448.172 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1540196448.174 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196448.175 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540196448.176 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1540196448.176 * [misc]taylor: Taking taylor expansion of 0 in k 1540196448.176 * [misc]backup-simplify: Simplify 0 into 0 1540196448.176 * [misc]backup-simplify: Simplify 0 into 0 1540196448.176 * [misc]backup-simplify: Simplify 0 into 0 1540196448.177 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540196448.178 * [misc]backup-simplify: Simplify (+ (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt PI)))) into 0 1540196448.178 * [misc]backup-simplify: Simplify 0 into 0 1540196448.179 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196448.186 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1540196448.186 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196448.186 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540196448.187 * [misc]backup-simplify: Simplify (- 0) into 0 1540196448.187 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.187 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196448.187 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0 1540196448.191 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540196448.192 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt PI))) into 0 1540196448.193 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))))) into 0 1540196448.193 * [misc]taylor: Taking taylor expansion of 0 in k 1540196448.193 * [misc]backup-simplify: Simplify 0 into 0 1540196448.193 * [misc]backup-simplify: Simplify 0 into 0 1540196448.193 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (sqrt PI)) into (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (sqrt PI)) 1540196448.194 * [misc]backup-simplify: Simplify (* (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt PI)) into (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt PI)) 1540196448.194 * [misc]approximate: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt PI)) in (n k) around 0 1540196448.194 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt PI)) in k 1540196448.194 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196448.194 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1540196448.194 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1540196448.194 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196448.194 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196448.194 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.195 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196448.195 * [misc]taylor: Taking taylor expansion of k in k 1540196448.195 * [misc]backup-simplify: Simplify 0 into 0 1540196448.195 * [misc]backup-simplify: Simplify 1 into 1 1540196448.195 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196448.195 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.195 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1540196448.195 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1540196448.195 * [misc]taylor: Taking taylor expansion of -1 in k 1540196448.195 * [misc]backup-simplify: Simplify -1 into -1 1540196448.195 * [misc]taylor: Taking taylor expansion of n in k 1540196448.195 * [misc]backup-simplify: Simplify n into n 1540196448.195 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1540196448.195 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1540196448.195 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196448.195 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196448.196 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1540196448.196 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196448.196 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540196448.196 * [misc]taylor: Taking taylor expansion of PI in k 1540196448.196 * [misc]backup-simplify: Simplify PI into PI 1540196448.196 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.197 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.197 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt PI)) in n 1540196448.197 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196448.197 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196448.197 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196448.197 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196448.197 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196448.197 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.197 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196448.197 * [misc]taylor: Taking taylor expansion of k in n 1540196448.197 * [misc]backup-simplify: Simplify k into k 1540196448.197 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196448.197 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.197 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.197 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196448.197 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196448.197 * [misc]taylor: Taking taylor expansion of -1 in n 1540196448.197 * [misc]backup-simplify: Simplify -1 into -1 1540196448.197 * [misc]taylor: Taking taylor expansion of n in n 1540196448.197 * [misc]backup-simplify: Simplify 0 into 0 1540196448.197 * [misc]backup-simplify: Simplify 1 into 1 1540196448.198 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196448.198 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196448.198 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196448.198 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196448.198 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196448.199 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196448.199 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196448.199 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540196448.199 * [misc]taylor: Taking taylor expansion of PI in n 1540196448.199 * [misc]backup-simplify: Simplify PI into PI 1540196448.199 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.200 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.200 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt PI)) in n 1540196448.200 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196448.200 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196448.200 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196448.200 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196448.200 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196448.200 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.200 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196448.200 * [misc]taylor: Taking taylor expansion of k in n 1540196448.200 * [misc]backup-simplify: Simplify k into k 1540196448.200 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196448.200 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196448.200 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.201 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196448.201 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196448.201 * [misc]taylor: Taking taylor expansion of -1 in n 1540196448.201 * [misc]backup-simplify: Simplify -1 into -1 1540196448.201 * [misc]taylor: Taking taylor expansion of n in n 1540196448.201 * [misc]backup-simplify: Simplify 0 into 0 1540196448.201 * [misc]backup-simplify: Simplify 1 into 1 1540196448.201 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196448.201 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196448.201 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196448.201 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196448.202 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196448.202 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196448.202 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196448.202 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1540196448.202 * [misc]taylor: Taking taylor expansion of PI in n 1540196448.202 * [misc]backup-simplify: Simplify PI into PI 1540196448.203 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.208 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.208 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (sqrt PI)) into (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1540196448.208 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) in k 1540196448.209 * [misc]taylor: Taking taylor expansion of (sqrt PI) in k 1540196448.209 * [misc]taylor: Taking taylor expansion of PI in k 1540196448.209 * [misc]backup-simplify: Simplify PI into PI 1540196448.209 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1540196448.210 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1540196448.210 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) in k 1540196448.210 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) in k 1540196448.210 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196448.210 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196448.210 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.210 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196448.210 * [misc]taylor: Taking taylor expansion of k in k 1540196448.210 * [misc]backup-simplify: Simplify 0 into 0 1540196448.210 * [misc]backup-simplify: Simplify 1 into 1 1540196448.210 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196448.210 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196448.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196448.210 * [misc]taylor: Taking taylor expansion of (- (log -1) (log n)) in k 1540196448.210 * [misc]taylor: Taking taylor expansion of (log -1) in k 1540196448.210 * [misc]taylor: Taking taylor expansion of -1 in k 1540196448.210 * [misc]backup-simplify: Simplify -1 into -1 1540196448.211 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196448.211 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196448.211 * [misc]taylor: Taking taylor expansion of n in k 1540196448.211 * [misc]backup-simplify: Simplify n into n 1540196448.211 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196448.211 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196448.211 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196448.211 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1540196448.211 * [misc]backup-simplify: Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n)) 1540196448.212 * [misc]backup-simplify: Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n))) 1540196448.212 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196448.213 * [misc]backup-simplify: Simplify (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1540196448.213 * [misc]backup-simplify: Simplify (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) into (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))) 1540196448.214 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196448.216 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1540196448.216 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196448.216 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196448.217 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.217 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196448.217 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1540196448.219 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196448.220 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (sqrt PI))) into 0 1540196448.220 * [misc]taylor: Taking taylor expansion of 0 in k 1540196448.220 * [misc]backup-simplify: Simplify 0 into 0 1540196448.220 * [misc]backup-simplify: Simplify 0 into 0 1540196448.220 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) into 0 1540196448.221 * [misc]backup-simplify: Simplify 0 into 0 1540196448.222 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540196448.222 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196448.226 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 1540196448.227 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196448.227 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196448.227 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.228 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196448.228 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0 1540196448.230 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196448.232 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (* 0 (sqrt PI)))) into 0 1540196448.232 * [misc]taylor: Taking taylor expansion of 0 in k 1540196448.232 * [misc]backup-simplify: Simplify 0 into 0 1540196448.232 * [misc]backup-simplify: Simplify 0 into 0 1540196448.232 * [misc]backup-simplify: Simplify 0 into 0 1540196448.233 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1540196448.234 * [misc]backup-simplify: Simplify (+ (* (sqrt PI) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))))))) into 0 1540196448.234 * [misc]backup-simplify: Simplify 0 into 0 1540196448.235 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt PI))) into 0 1540196448.236 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196448.242 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 1540196448.243 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196448.243 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1540196448.243 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196448.244 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196448.244 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0 1540196448.248 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540196448.250 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt PI))))) into 0 1540196448.250 * [misc]taylor: Taking taylor expansion of 0 in k 1540196448.250 * [misc]backup-simplify: Simplify 0 into 0 1540196448.250 * [misc]backup-simplify: Simplify 0 into 0 1540196448.251 * [misc]backup-simplify: Simplify (* (sqrt PI) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n))))))) into (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (sqrt PI)) 1540196448.251 * * * [misc]progress: simplifying candidates 1540196448.251 * * * * [misc]progress: [ 1 / 180 ] simplifiying candidate # 1540196448.251 * * * * [misc]progress: [ 2 / 180 ] simplifiying candidate # 1540196448.251 * * * * [misc]progress: [ 3 / 180 ] simplifiying candidate # 1540196448.251 * * * * [misc]progress: [ 4 / 180 ] simplifiying candidate # 1540196448.251 * * * * [misc]progress: [ 5 / 180 ] simplifiying candidate # 1540196448.251 * * * * [misc]progress: [ 6 / 180 ] simplifiying candidate # 1540196448.251 * * * * [misc]progress: [ 7 / 180 ] simplifiying candidate # 1540196448.251 * * * * [misc]progress: [ 8 / 180 ] simplifiying candidate # 1540196448.251 * * * * [misc]progress: [ 9 / 180 ] simplifiying candidate # 1540196448.251 * * * * [misc]progress: [ 10 / 180 ] simplifiying candidate # 1540196448.252 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2)))) 1540196448.252 * * [misc]simplify: iters left: 6 (10 enodes) 1540196448.256 * * [misc]simplify: iters left: 5 (15 enodes) 1540196448.261 * * [misc]simplify: iters left: 4 (31 enodes) 1540196448.272 * * [misc]simplify: iters left: 3 (64 enodes) 1540196448.282 * * [misc]simplify: iters left: 2 (110 enodes) 1540196448.301 * * [misc]simplify: iters left: 1 (153 enodes) 1540196448.321 * [exit]simplify: Simplified to (+ (* (log 2) (+ -1/2 (/ k 2))) (log (sqrt k))) 1540196448.321 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (exp (+ (* (log 2) (+ -1/2 (/ k 2))) (log (sqrt k))))))) 1540196448.321 * * * * [misc]progress: [ 11 / 180 ] simplifiying candidate # 1540196448.322 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2))))) 1540196448.322 * * [misc]simplify: iters left: 6 (10 enodes) 1540196448.323 * * [misc]simplify: iters left: 5 (16 enodes) 1540196448.326 * * [misc]simplify: iters left: 4 (25 enodes) 1540196448.330 * * [misc]simplify: iters left: 3 (40 enodes) 1540196448.336 * * [misc]simplify: iters left: 2 (85 enodes) 1540196448.349 * * [misc]simplify: iters left: 1 (127 enodes) 1540196448.378 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (log 2)) (log (sqrt k))) 1540196448.378 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (exp (+ (* (+ (/ k 2) -1/2) (log 2)) (log (sqrt k))))))) 1540196448.378 * * * * [misc]progress: [ 12 / 180 ] simplifiying candidate # 1540196448.378 * * * * [misc]progress: [ 13 / 180 ] simplifiying candidate # 1540196448.378 * * * * [misc]progress: [ 14 / 180 ] simplifiying candidate # 1540196448.379 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) 1540196448.379 * * [misc]simplify: iters left: 6 (12 enodes) 1540196448.383 * * [misc]simplify: iters left: 5 (23 enodes) 1540196448.391 * * [misc]simplify: iters left: 4 (56 enodes) 1540196448.411 * * [misc]simplify: iters left: 3 (118 enodes) 1540196448.455 * * [misc]simplify: iters left: 2 (201 enodes) 1540196448.530 * * [misc]simplify: iters left: 1 (281 enodes) 1540196448.673 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196448.673 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (cbrt (/ (/ (* k (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.673 * * * * [misc]progress: [ 15 / 180 ] simplifiying candidate # 1540196448.673 * * * * [misc]progress: [ 16 / 180 ] simplifiying candidate # 1540196448.673 * * * * [misc]progress: [ 17 / 180 ] simplifiying candidate # 1540196448.673 * * * * [misc]progress: [ 18 / 180 ] simplifiying candidate # 1540196448.674 * * * * [misc]progress: [ 19 / 180 ] simplifiying candidate # 1540196448.674 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)) 1540196448.674 * * [misc]simplify: iters left: 6 (8 enodes) 1540196448.676 * * [misc]simplify: iters left: 5 (11 enodes) 1540196448.677 * * [misc]simplify: iters left: 4 (13 enodes) 1540196448.680 * * [misc]simplify: iters left: 3 (14 enodes) 1540196448.683 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) 1540196448.683 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))))))) 1540196448.684 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540196448.684 * * [misc]simplify: iters left: 6 (8 enodes) 1540196448.685 * * [misc]simplify: iters left: 5 (10 enodes) 1540196448.686 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540196448.686 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))))))) 1540196448.686 * * * * [misc]progress: [ 20 / 180 ] simplifiying candidate # 1540196448.686 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)) 1540196448.686 * * [misc]simplify: iters left: 6 (8 enodes) 1540196448.688 * * [misc]simplify: iters left: 5 (11 enodes) 1540196448.690 * * [misc]simplify: iters left: 4 (13 enodes) 1540196448.692 * * [misc]simplify: iters left: 3 (14 enodes) 1540196448.695 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) 1540196448.695 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))))))) 1540196448.695 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540196448.695 * * [misc]simplify: iters left: 6 (8 enodes) 1540196448.696 * * [misc]simplify: iters left: 5 (10 enodes) 1540196448.697 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540196448.697 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (* (/ (cbrt (sqrt k)) (sqrt 2)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))))))) 1540196448.697 * * * * [misc]progress: [ 21 / 180 ] simplifiying candidate # 1540196448.697 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196448.698 * * [misc]simplify: iters left: 6 (12 enodes) 1540196448.699 * * [misc]simplify: iters left: 5 (20 enodes) 1540196448.702 * * [misc]simplify: iters left: 4 (32 enodes) 1540196448.706 * * [misc]simplify: iters left: 3 (35 enodes) 1540196448.711 * * [misc]simplify: iters left: 2 (38 enodes) 1540196448.720 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196448.720 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.720 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.720 * * [misc]simplify: iters left: 6 (10 enodes) 1540196448.723 * * [misc]simplify: iters left: 5 (12 enodes) 1540196448.726 * * [misc]simplify: iters left: 4 (15 enodes) 1540196448.730 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.730 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.730 * * * * [misc]progress: [ 22 / 180 ] simplifiying candidate # 1540196448.730 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.730 * * [misc]simplify: iters left: 6 (11 enodes) 1540196448.735 * * [misc]simplify: iters left: 5 (15 enodes) 1540196448.739 * * [misc]simplify: iters left: 4 (20 enodes) 1540196448.745 * * [misc]simplify: iters left: 3 (21 enodes) 1540196448.750 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.751 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.751 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.751 * * [misc]simplify: iters left: 6 (10 enodes) 1540196448.754 * * [misc]simplify: iters left: 5 (12 enodes) 1540196448.757 * * [misc]simplify: iters left: 4 (15 enodes) 1540196448.761 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.761 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.762 * * * * [misc]progress: [ 23 / 180 ] simplifiying candidate # 1540196448.762 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1540196448.762 * * [misc]simplify: iters left: 6 (6 enodes) 1540196448.764 * * [misc]simplify: iters left: 5 (10 enodes) 1540196448.767 * * [misc]simplify: iters left: 4 (16 enodes) 1540196448.771 * * [misc]simplify: iters left: 3 (18 enodes) 1540196448.774 * * [misc]simplify: iters left: 2 (23 enodes) 1540196448.780 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540196448.780 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196448.780 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196448.780 * * [misc]simplify: iters left: 6 (9 enodes) 1540196448.783 * * [misc]simplify: iters left: 5 (11 enodes) 1540196448.786 * * [misc]simplify: iters left: 4 (14 enodes) 1540196448.790 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196448.790 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196448.790 * * * * [misc]progress: [ 24 / 180 ] simplifiying candidate # 1540196448.790 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 1/2)) 1540196448.790 * * [misc]simplify: iters left: 4 (7 enodes) 1540196448.793 * * [misc]simplify: iters left: 3 (8 enodes) 1540196448.796 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1540196448.796 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))))))) 1540196448.797 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540196448.797 * * [misc]simplify: iters left: 6 (8 enodes) 1540196448.799 * * [misc]simplify: iters left: 5 (10 enodes) 1540196448.802 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540196448.802 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))))))) 1540196448.802 * * * * [misc]progress: [ 25 / 180 ] simplifiying candidate # 1540196448.802 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 1/2)) 1540196448.802 * * [misc]simplify: iters left: 4 (7 enodes) 1540196448.805 * * [misc]simplify: iters left: 3 (8 enodes) 1540196448.810 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1540196448.810 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))))))) 1540196448.811 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540196448.811 * * [misc]simplify: iters left: 6 (8 enodes) 1540196448.813 * * [misc]simplify: iters left: 5 (10 enodes) 1540196448.816 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540196448.816 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))))))) 1540196448.816 * * * * [misc]progress: [ 26 / 180 ] simplifiying candidate # 1540196448.816 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196448.816 * * [misc]simplify: iters left: 6 (11 enodes) 1540196448.819 * * [misc]simplify: iters left: 5 (15 enodes) 1540196448.824 * * [misc]simplify: iters left: 4 (18 enodes) 1540196448.829 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196448.829 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.829 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.829 * * [misc]simplify: iters left: 6 (10 enodes) 1540196448.832 * * [misc]simplify: iters left: 5 (12 enodes) 1540196448.835 * * [misc]simplify: iters left: 4 (15 enodes) 1540196448.839 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.839 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.839 * * * * [misc]progress: [ 27 / 180 ] simplifiying candidate # 1540196448.840 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.840 * * [misc]simplify: iters left: 6 (10 enodes) 1540196448.843 * * [misc]simplify: iters left: 5 (12 enodes) 1540196448.846 * * [misc]simplify: iters left: 4 (15 enodes) 1540196448.850 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.850 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.850 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.851 * * [misc]simplify: iters left: 6 (10 enodes) 1540196448.853 * * [misc]simplify: iters left: 5 (12 enodes) 1540196448.857 * * [misc]simplify: iters left: 4 (15 enodes) 1540196448.861 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.861 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.861 * * * * [misc]progress: [ 28 / 180 ] simplifiying candidate # 1540196448.862 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1540196448.862 * * [misc]simplify: iters left: 4 (5 enodes) 1540196448.863 * * [misc]simplify: iters left: 3 (7 enodes) 1540196448.866 * * [misc]simplify: iters left: 2 (9 enodes) 1540196448.867 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540196448.867 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196448.868 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196448.868 * * [misc]simplify: iters left: 6 (9 enodes) 1540196448.870 * * [misc]simplify: iters left: 5 (11 enodes) 1540196448.873 * * [misc]simplify: iters left: 4 (14 enodes) 1540196448.877 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196448.877 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196448.877 * * * * [misc]progress: [ 29 / 180 ] simplifiying candidate # 1540196448.877 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1540196448.878 * * [misc]simplify: iters left: 3 (5 enodes) 1540196448.880 * * [misc]simplify: iters left: 2 (8 enodes) 1540196448.883 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1540196448.883 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (- (/ k 2)))))))) 1540196448.883 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1540196448.883 * * [misc]simplify: iters left: 6 (7 enodes) 1540196448.885 * * [misc]simplify: iters left: 5 (9 enodes) 1540196448.888 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1540196448.888 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196448.888 * * * * [misc]progress: [ 30 / 180 ] simplifiying candidate # 1540196448.888 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1540196448.888 * * [misc]simplify: iters left: 3 (5 enodes) 1540196448.891 * * [misc]simplify: iters left: 2 (8 enodes) 1540196448.893 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1540196448.893 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (- (/ k 2)))))))) 1540196448.894 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1540196448.894 * * [misc]simplify: iters left: 6 (7 enodes) 1540196448.896 * * [misc]simplify: iters left: 5 (9 enodes) 1540196448.898 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1540196448.898 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ 1 (sqrt 2)) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196448.898 * * * * [misc]progress: [ 31 / 180 ] simplifiying candidate # 1540196448.899 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196448.899 * * [misc]simplify: iters left: 6 (10 enodes) 1540196448.902 * * [misc]simplify: iters left: 5 (16 enodes) 1540196448.906 * * [misc]simplify: iters left: 4 (19 enodes) 1540196448.911 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196448.911 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.912 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.912 * * [misc]simplify: iters left: 6 (9 enodes) 1540196448.914 * * [misc]simplify: iters left: 5 (11 enodes) 1540196448.917 * * [misc]simplify: iters left: 4 (14 enodes) 1540196448.921 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.921 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.921 * * * * [misc]progress: [ 32 / 180 ] simplifiying candidate # 1540196448.922 * [enter]simplify: Simplifying (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.922 * * [misc]simplify: iters left: 6 (9 enodes) 1540196448.924 * * [misc]simplify: iters left: 5 (13 enodes) 1540196448.928 * * [misc]simplify: iters left: 4 (16 enodes) 1540196448.932 * [exit]simplify: Simplified to (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.932 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.932 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.932 * * [misc]simplify: iters left: 6 (9 enodes) 1540196448.935 * * [misc]simplify: iters left: 5 (11 enodes) 1540196448.937 * * [misc]simplify: iters left: 4 (14 enodes) 1540196448.939 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196448.939 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))))))) 1540196448.939 * * * * [misc]progress: [ 33 / 180 ] simplifiying candidate # 1540196448.939 * [enter]simplify: Simplifying (/ 1 1) 1540196448.939 * * [misc]simplify: iters left: 2 (2 enodes) 1540196448.939 * * [misc]simplify: iters left: 1 (4 enodes) 1540196448.940 * [exit]simplify: Simplified to 1 1540196448.940 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* 1 (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196448.940 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540196448.940 * * [misc]simplify: iters left: 6 (8 enodes) 1540196448.941 * * [misc]simplify: iters left: 5 (10 enodes) 1540196448.942 * * [misc]simplify: iters left: 4 (13 enodes) 1540196448.944 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540196448.944 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* 1 (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196448.944 * * * * [misc]progress: [ 34 / 180 ] simplifiying candidate # 1540196448.944 * * * * [misc]progress: [ 35 / 180 ] simplifiying candidate # 1540196448.944 * * * * [misc]progress: [ 36 / 180 ] simplifiying candidate # 1540196448.944 * * * * [misc]progress: [ 37 / 180 ] simplifiying candidate # 1540196448.945 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1540196448.945 * * [misc]simplify: iters left: 5 (5 enodes) 1540196448.945 * * [misc]simplify: iters left: 4 (7 enodes) 1540196448.946 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1540196448.946 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (/ (sqrt k) (pow 2 1/2)) (pow 2 (- (/ k 2))))))) 1540196448.946 * * * * [misc]progress: [ 38 / 180 ] simplifiying candidate # 1540196448.947 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1540196448.947 * * [misc]simplify: iters left: 5 (5 enodes) 1540196448.948 * * [misc]simplify: iters left: 4 (7 enodes) 1540196448.949 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1540196448.949 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (/ (sqrt k) (pow 2 1/2)) (pow 2 (- (/ k 2))))))) 1540196448.949 * * * * [misc]progress: [ 39 / 180 ] simplifiying candidate # 1540196448.950 * [enter]simplify: Simplifying (cbrt (pow 2 (- 1/2 (/ k 2)))) 1540196448.950 * * [misc]simplify: iters left: 6 (7 enodes) 1540196448.951 * * [misc]simplify: iters left: 5 (9 enodes) 1540196448.952 * * [misc]simplify: iters left: 4 (12 enodes) 1540196448.953 * [exit]simplify: Simplified to (cbrt (pow 2 (- 1/2 (/ k 2)))) 1540196448.953 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196448.954 * * * * [misc]progress: [ 40 / 180 ] simplifiying candidate # 1540196448.954 * [enter]simplify: Simplifying (sqrt (pow 2 (- 1/2 (/ k 2)))) 1540196448.954 * * [misc]simplify: iters left: 6 (7 enodes) 1540196448.955 * * [misc]simplify: iters left: 5 (9 enodes) 1540196448.956 * * [misc]simplify: iters left: 4 (12 enodes) 1540196448.957 * [exit]simplify: Simplified to (sqrt (pow 2 (- 1/2 (/ k 2)))) 1540196448.958 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196448.958 * * * * [misc]progress: [ 41 / 180 ] simplifiying candidate # 1540196448.958 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1540196448.958 * * [misc]simplify: iters left: 5 (6 enodes) 1540196448.959 * * [misc]simplify: iters left: 4 (8 enodes) 1540196448.960 * * [misc]simplify: iters left: 3 (11 enodes) 1540196448.961 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1540196448.961 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (/ (sqrt k) 1) (pow 2 (- 1/2 (/ k 2))))))) 1540196448.961 * * * * [misc]progress: [ 42 / 180 ] simplifiying candidate # 1540196448.961 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540196448.961 * * [misc]simplify: iters left: 4 (4 enodes) 1540196448.962 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1540196448.962 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1540196448.962 * * * * [misc]progress: [ 43 / 180 ] simplifiying candidate # 1540196448.962 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1540196448.962 * * [misc]simplify: iters left: 2 (3 enodes) 1540196448.963 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1540196448.963 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1540196448.963 * * * * [misc]progress: [ 44 / 180 ] simplifiying candidate # 1540196448.963 * * * * [misc]progress: [ 45 / 180 ] simplifiying candidate # 1540196448.963 * [enter]simplify: Simplifying (pow 2 (/ k 2)) 1540196448.963 * * [misc]simplify: iters left: 3 (4 enodes) 1540196448.963 * [exit]simplify: Simplified to (pow 2 (/ k 2)) 1540196448.963 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (* (/ (sqrt k) (pow 2 1/2)) (pow 2 (/ k 2)))))) 1540196448.963 * * * * [misc]progress: [ 46 / 180 ] simplifiying candidate # 1540196448.964 * [enter]simplify: Simplifying (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196448.964 * * [misc]simplify: iters left: 6 (17 enodes) 1540196448.966 * * [misc]simplify: iters left: 5 (28 enodes) 1540196448.971 * * [misc]simplify: iters left: 4 (55 enodes) 1540196448.980 * * [misc]simplify: iters left: 3 (129 enodes) 1540196449.024 * * [misc]simplify: iters left: 2 (216 enodes) 1540196449.098 * * [misc]simplify: iters left: 1 (306 enodes) 1540196449.210 * [exit]simplify: Simplified to (* (* (pow PI (- (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) 1540196449.210 * [misc]simplify: Simplified (2 1) to (λ (k n) (pow (* (* (pow PI (- (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) 1)) 1540196449.210 * * * * [misc]progress: [ 47 / 180 ] simplifiying candidate # 1540196449.210 * * * * [misc]progress: [ 48 / 180 ] simplifiying candidate # 1540196449.210 * [enter]simplify: Simplifying (+ (+ (* (log n) (- 1/2 (/ k 2))) (log (sqrt PI))) (- (* (log PI) (- (/ k 2))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2)))))) 1540196449.211 * * [misc]simplify: iters left: 6 (22 enodes) 1540196449.217 * * [misc]simplify: iters left: 5 (42 enodes) 1540196449.232 * * [misc]simplify: iters left: 4 (109 enodes) 1540196449.272 * * [misc]simplify: iters left: 3 (343 enodes) 1540196449.576 * [exit]simplify: Simplified to (+ (log (sqrt PI)) (- (* (- 1/2 (/ k 2)) (+ (log n) (log 2))) (+ (log (sqrt k)) (/ (log PI) (/ 2 k))))) 1540196449.576 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (log (sqrt PI)) (- (* (- 1/2 (/ k 2)) (+ (log n) (log 2))) (+ (log (sqrt k)) (/ (log PI) (/ 2 k))))))) 1540196449.576 * * * * [misc]progress: [ 49 / 180 ] simplifiying candidate # 1540196449.577 * [enter]simplify: Simplifying (+ (+ (* (log n) (- 1/2 (/ k 2))) (log (sqrt PI))) (- (* (log PI) (- (/ k 2))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2))))))) 1540196449.577 * * [misc]simplify: iters left: 6 (22 enodes) 1540196449.584 * * [misc]simplify: iters left: 5 (43 enodes) 1540196449.598 * * [misc]simplify: iters left: 4 (103 enodes) 1540196449.645 * * [misc]simplify: iters left: 3 (294 enodes) 1540196449.904 * [exit]simplify: Simplified to (- (+ (- (log (sqrt PI)) (/ (log PI) (/ 2 k))) (* (- 1/2 (/ k 2)) (+ (log n) (log 2)))) (log (sqrt k))) 1540196449.904 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (- (log (sqrt PI)) (/ (log PI) (/ 2 k))) (* (- 1/2 (/ k 2)) (+ (log n) (log 2)))) (log (sqrt k))))) 1540196449.904 * * * * [misc]progress: [ 50 / 180 ] simplifiying candidate # 1540196449.904 * [enter]simplify: Simplifying (+ (+ (* (log n) (- 1/2 (/ k 2))) (log (sqrt PI))) (- (* (log PI) (- (/ k 2))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196449.904 * * [misc]simplify: iters left: 6 (21 enodes) 1540196449.911 * * [misc]simplify: iters left: 5 (39 enodes) 1540196449.924 * * [misc]simplify: iters left: 4 (86 enodes) 1540196449.955 * * [misc]simplify: iters left: 3 (230 enodes) 1540196450.088 * [exit]simplify: Simplified to (- (- (log (sqrt PI)) (/ (log PI) (/ 2 k))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (log n))))) 1540196450.089 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt PI)) (/ (log PI) (/ 2 k))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (log n))))))) 1540196450.089 * * * * [misc]progress: [ 51 / 180 ] simplifiying candidate # 1540196450.089 * [enter]simplify: Simplifying (+ (+ (* (log n) (- 1/2 (/ k 2))) (log (sqrt PI))) (- (log (pow PI (- (/ k 2)))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2)))))) 1540196450.089 * * [misc]simplify: iters left: 6 (22 enodes) 1540196450.097 * * [misc]simplify: iters left: 5 (41 enodes) 1540196450.111 * * [misc]simplify: iters left: 4 (100 enodes) 1540196450.160 * * [misc]simplify: iters left: 3 (323 enodes) 1540196450.457 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (+ (log (sqrt k)) (* (log PI) (/ k 2)))) (log (sqrt PI))) 1540196450.457 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (+ (log (sqrt k)) (* (log PI) (/ k 2)))) (log (sqrt PI))))) 1540196450.457 * * * * [misc]progress: [ 52 / 180 ] simplifiying candidate # 1540196450.457 * [enter]simplify: Simplifying (+ (+ (* (log n) (- 1/2 (/ k 2))) (log (sqrt PI))) (- (log (pow PI (- (/ k 2)))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2))))))) 1540196450.457 * * [misc]simplify: iters left: 6 (22 enodes) 1540196450.465 * * [misc]simplify: iters left: 5 (42 enodes) 1540196450.478 * * [misc]simplify: iters left: 4 (94 enodes) 1540196450.522 * * [misc]simplify: iters left: 3 (273 enodes) 1540196450.743 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (+ (* (/ k 2) (log PI)) (log (sqrt k)))) (log (sqrt PI))) 1540196450.743 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (+ (* (/ k 2) (log PI)) (log (sqrt k)))) (log (sqrt PI))))) 1540196450.743 * * * * [misc]progress: [ 53 / 180 ] simplifiying candidate # 1540196450.743 * [enter]simplify: Simplifying (+ (+ (* (log n) (- 1/2 (/ k 2))) (log (sqrt PI))) (- (log (pow PI (- (/ k 2)))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196450.743 * * [misc]simplify: iters left: 6 (21 enodes) 1540196450.753 * * [misc]simplify: iters left: 5 (38 enodes) 1540196450.766 * * [misc]simplify: iters left: 4 (77 enodes) 1540196450.798 * * [misc]simplify: iters left: 3 (212 enodes) 1540196450.910 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (- (- (log (sqrt PI)) (* (log PI) (/ k 2))) (log (sqrt k)))) 1540196450.910 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (- (- (log (sqrt PI)) (* (log PI) (/ k 2))) (log (sqrt k)))))) 1540196450.910 * * * * [misc]progress: [ 54 / 180 ] simplifiying candidate # 1540196450.910 * [enter]simplify: Simplifying (+ (+ (* (log n) (- 1/2 (/ k 2))) (log (sqrt PI))) (log (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196450.911 * * [misc]simplify: iters left: 6 (20 enodes) 1540196450.916 * * [misc]simplify: iters left: 5 (33 enodes) 1540196450.926 * * [misc]simplify: iters left: 4 (64 enodes) 1540196450.938 * * [misc]simplify: iters left: 3 (158 enodes) 1540196450.998 * * [misc]simplify: iters left: 2 (465 enodes) 1540196451.431 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (- (- (log (sqrt PI)) (* (/ k 2) (log PI))) (log (sqrt k)))) 1540196451.431 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (- (- (log (sqrt PI)) (* (/ k 2) (log PI))) (log (sqrt k)))))) 1540196451.431 * * * * [misc]progress: [ 55 / 180 ] simplifiying candidate # 1540196451.432 * [enter]simplify: Simplifying (+ (+ (log (pow n (- 1/2 (/ k 2)))) (log (sqrt PI))) (- (* (log PI) (- (/ k 2))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2)))))) 1540196451.432 * * [misc]simplify: iters left: 6 (22 enodes) 1540196451.440 * * [misc]simplify: iters left: 5 (43 enodes) 1540196451.455 * * [misc]simplify: iters left: 4 (105 enodes) 1540196451.506 * * [misc]simplify: iters left: 3 (305 enodes) 1540196451.781 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (+ (log n) (log 2))) (- (log (sqrt PI)) (+ (/ (log PI) (/ 2 k)) (log (sqrt k))))) 1540196451.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (+ (log n) (log 2))) (- (log (sqrt PI)) (+ (/ (log PI) (/ 2 k)) (log (sqrt k))))))) 1540196451.782 * * * * [misc]progress: [ 56 / 180 ] simplifiying candidate # 1540196451.782 * [enter]simplify: Simplifying (+ (+ (log (pow n (- 1/2 (/ k 2)))) (log (sqrt PI))) (- (* (log PI) (- (/ k 2))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2))))))) 1540196451.782 * * [misc]simplify: iters left: 6 (22 enodes) 1540196451.790 * * [misc]simplify: iters left: 5 (44 enodes) 1540196451.805 * * [misc]simplify: iters left: 4 (99 enodes) 1540196451.843 * * [misc]simplify: iters left: 3 (257 enodes) 1540196452.030 * [exit]simplify: Simplified to (- (+ (log (sqrt PI)) (* (- 1/2 (/ k 2)) (+ (log n) (log 2)))) (+ (* (log PI) (/ k 2)) (log (sqrt k)))) 1540196452.030 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (log (sqrt PI)) (* (- 1/2 (/ k 2)) (+ (log n) (log 2)))) (+ (* (log PI) (/ k 2)) (log (sqrt k)))))) 1540196452.031 * * * * [misc]progress: [ 57 / 180 ] simplifiying candidate # 1540196452.031 * [enter]simplify: Simplifying (+ (+ (log (pow n (- 1/2 (/ k 2)))) (log (sqrt PI))) (- (* (log PI) (- (/ k 2))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196452.031 * * [misc]simplify: iters left: 6 (21 enodes) 1540196452.038 * * [misc]simplify: iters left: 5 (40 enodes) 1540196452.051 * * [misc]simplify: iters left: 4 (82 enodes) 1540196452.082 * * [misc]simplify: iters left: 3 (192 enodes) 1540196452.166 * [exit]simplify: Simplified to (- (+ (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (log (sqrt PI))) (+ (/ (log PI) (/ 2 k)) (log (sqrt k)))) 1540196452.166 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (log (sqrt PI))) (+ (/ (log PI) (/ 2 k)) (log (sqrt k)))))) 1540196452.166 * * * * [misc]progress: [ 58 / 180 ] simplifiying candidate # 1540196452.167 * [enter]simplify: Simplifying (+ (+ (log (pow n (- 1/2 (/ k 2)))) (log (sqrt PI))) (- (log (pow PI (- (/ k 2)))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2)))))) 1540196452.167 * * [misc]simplify: iters left: 6 (22 enodes) 1540196452.170 * * [misc]simplify: iters left: 5 (42 enodes) 1540196452.179 * * [misc]simplify: iters left: 4 (96 enodes) 1540196452.218 * * [misc]simplify: iters left: 3 (288 enodes) 1540196452.443 * [exit]simplify: Simplified to (+ (log (sqrt PI)) (- (* (- 1/2 (/ k 2)) (+ (log n) (log 2))) (+ (log (sqrt k)) (* (/ k 2) (log PI))))) 1540196452.443 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (log (sqrt PI)) (- (* (- 1/2 (/ k 2)) (+ (log n) (log 2))) (+ (log (sqrt k)) (* (/ k 2) (log PI))))))) 1540196452.443 * * * * [misc]progress: [ 59 / 180 ] simplifiying candidate # 1540196452.443 * [enter]simplify: Simplifying (+ (+ (log (pow n (- 1/2 (/ k 2)))) (log (sqrt PI))) (- (log (pow PI (- (/ k 2)))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2))))))) 1540196452.443 * * [misc]simplify: iters left: 6 (22 enodes) 1540196452.451 * * [misc]simplify: iters left: 5 (43 enodes) 1540196452.460 * * [misc]simplify: iters left: 4 (90 enodes) 1540196452.482 * * [misc]simplify: iters left: 3 (237 enodes) 1540196452.642 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (- (- (log (sqrt PI)) (* (/ k 2) (log PI))) (log (sqrt k)))) 1540196452.642 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (- (- (log (sqrt PI)) (* (/ k 2) (log PI))) (log (sqrt k)))))) 1540196452.642 * * * * [misc]progress: [ 60 / 180 ] simplifiying candidate # 1540196452.642 * [enter]simplify: Simplifying (+ (+ (log (pow n (- 1/2 (/ k 2)))) (log (sqrt PI))) (- (log (pow PI (- (/ k 2)))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196452.643 * * [misc]simplify: iters left: 6 (21 enodes) 1540196452.649 * * [misc]simplify: iters left: 5 (39 enodes) 1540196452.662 * * [misc]simplify: iters left: 4 (73 enodes) 1540196452.689 * * [misc]simplify: iters left: 3 (174 enodes) 1540196452.803 * [exit]simplify: Simplified to (- (- (log (sqrt PI)) (* (/ k 2) (log PI))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (log n))))) 1540196452.804 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt PI)) (* (/ k 2) (log PI))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (log n))))))) 1540196452.804 * * * * [misc]progress: [ 61 / 180 ] simplifiying candidate # 1540196452.804 * [enter]simplify: Simplifying (+ (+ (log (pow n (- 1/2 (/ k 2)))) (log (sqrt PI))) (log (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196452.804 * * [misc]simplify: iters left: 6 (20 enodes) 1540196452.807 * * [misc]simplify: iters left: 5 (34 enodes) 1540196452.811 * * [misc]simplify: iters left: 4 (60 enodes) 1540196452.827 * * [misc]simplify: iters left: 3 (128 enodes) 1540196452.898 * * [misc]simplify: iters left: 2 (376 enodes) 1540196453.103 * [exit]simplify: Simplified to (+ (- (log (sqrt PI)) (+ (* (/ k 2) (log PI)) (log (sqrt k)))) (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))) 1540196453.103 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (log (sqrt PI)) (+ (* (/ k 2) (log PI)) (log (sqrt k)))) (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))))) 1540196453.103 * * * * [misc]progress: [ 62 / 180 ] simplifiying candidate # 1540196453.103 * [enter]simplify: Simplifying (+ (log (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (- (* (log PI) (- (/ k 2))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2)))))) 1540196453.103 * * [misc]simplify: iters left: 6 (21 enodes) 1540196453.110 * * [misc]simplify: iters left: 5 (41 enodes) 1540196453.125 * * [misc]simplify: iters left: 4 (97 enodes) 1540196453.171 * * [misc]simplify: iters left: 3 (271 enodes) 1540196453.344 * [exit]simplify: Simplified to (- (+ (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (log (sqrt PI))) (+ (* (log PI) (/ k 2)) (log (sqrt k)))) 1540196453.344 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (log (sqrt PI))) (+ (* (log PI) (/ k 2)) (log (sqrt k)))))) 1540196453.344 * * * * [misc]progress: [ 63 / 180 ] simplifiying candidate # 1540196453.345 * [enter]simplify: Simplifying (+ (log (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (- (* (log PI) (- (/ k 2))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2))))))) 1540196453.345 * * [misc]simplify: iters left: 6 (21 enodes) 1540196453.348 * * [misc]simplify: iters left: 5 (42 enodes) 1540196453.357 * * [misc]simplify: iters left: 4 (91 enodes) 1540196453.385 * * [misc]simplify: iters left: 3 (224 enodes) 1540196453.552 * [exit]simplify: Simplified to (- (- (log (sqrt PI)) (* (/ k 2) (log PI))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (log n))))) 1540196453.553 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt PI)) (* (/ k 2) (log PI))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log 2) (log n))))))) 1540196453.553 * * * * [misc]progress: [ 64 / 180 ] simplifiying candidate # 1540196453.553 * [enter]simplify: Simplifying (+ (log (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (- (* (log PI) (- (/ k 2))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196453.553 * * [misc]simplify: iters left: 6 (20 enodes) 1540196453.556 * * [misc]simplify: iters left: 5 (38 enodes) 1540196453.561 * * [misc]simplify: iters left: 4 (76 enodes) 1540196453.578 * * [misc]simplify: iters left: 3 (169 enodes) 1540196453.625 * * [misc]simplify: iters left: 2 (381 enodes) 1540196453.988 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log 2))) (log (sqrt k))) (- (* (log PI) (/ k 2)) (log (sqrt PI)))) 1540196453.989 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log 2))) (log (sqrt k))) (- (* (log PI) (/ k 2)) (log (sqrt PI)))))) 1540196453.989 * * * * [misc]progress: [ 65 / 180 ] simplifiying candidate # 1540196453.989 * [enter]simplify: Simplifying (+ (log (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (- (log (pow PI (- (/ k 2)))) (- (log (sqrt k)) (* (log 2) (- 1/2 (/ k 2)))))) 1540196453.989 * * [misc]simplify: iters left: 6 (21 enodes) 1540196453.993 * * [misc]simplify: iters left: 5 (40 enodes) 1540196453.999 * * [misc]simplify: iters left: 4 (88 enodes) 1540196454.026 * * [misc]simplify: iters left: 3 (253 enodes) 1540196454.151 * [exit]simplify: Simplified to (- (+ (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (log (sqrt PI))) (+ (* (log PI) (/ k 2)) (log (sqrt k)))) 1540196454.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (* (- 1/2 (/ k 2)) (+ (log 2) (log n))) (log (sqrt PI))) (+ (* (log PI) (/ k 2)) (log (sqrt k)))))) 1540196454.151 * * * * [misc]progress: [ 66 / 180 ] simplifiying candidate # 1540196454.152 * [enter]simplify: Simplifying (+ (log (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (- (log (pow PI (- (/ k 2)))) (- (log (sqrt k)) (log (pow 2 (- 1/2 (/ k 2))))))) 1540196454.152 * * [misc]simplify: iters left: 6 (21 enodes) 1540196454.159 * * [misc]simplify: iters left: 5 (41 enodes) 1540196454.172 * * [misc]simplify: iters left: 4 (82 enodes) 1540196454.204 * * [misc]simplify: iters left: 3 (205 enodes) 1540196454.355 * [exit]simplify: Simplified to (- (+ (log (sqrt PI)) (* (- 1/2 (/ k 2)) (+ (log 2) (log n)))) (+ (* (/ k 2) (log PI)) (log (sqrt k)))) 1540196454.355 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (log (sqrt PI)) (* (- 1/2 (/ k 2)) (+ (log 2) (log n)))) (+ (* (/ k 2) (log PI)) (log (sqrt k)))))) 1540196454.355 * * * * [misc]progress: [ 67 / 180 ] simplifiying candidate # 1540196454.355 * [enter]simplify: Simplifying (+ (log (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (- (log (pow PI (- (/ k 2)))) (log (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196454.355 * * [misc]simplify: iters left: 6 (20 enodes) 1540196454.362 * * [misc]simplify: iters left: 5 (37 enodes) 1540196454.373 * * [misc]simplify: iters left: 4 (67 enodes) 1540196454.401 * * [misc]simplify: iters left: 3 (151 enodes) 1540196454.438 * * [misc]simplify: iters left: 2 (350 enodes) 1540196454.791 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (+ (log n) (log 2))) (- (- (log (sqrt PI)) (* (log PI) (/ k 2))) (log (sqrt k)))) 1540196454.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (+ (log n) (log 2))) (- (- (log (sqrt PI)) (* (log PI) (/ k 2))) (log (sqrt k)))))) 1540196454.791 * * * * [misc]progress: [ 68 / 180 ] simplifiying candidate # 1540196454.791 * [enter]simplify: Simplifying (+ (log (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (log (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196454.791 * * [misc]simplify: iters left: 6 (19 enodes) 1540196454.794 * * [misc]simplify: iters left: 5 (32 enodes) 1540196454.802 * * [misc]simplify: iters left: 4 (56 enodes) 1540196454.818 * * [misc]simplify: iters left: 3 (111 enodes) 1540196454.859 * * [misc]simplify: iters left: 2 (248 enodes) 1540196455.030 * [exit]simplify: Simplified to (- (- (log (sqrt PI)) (* (/ k 2) (log PI))) (- (log (sqrt k)) (* (+ (log n) (log 2)) (- 1/2 (/ k 2))))) 1540196455.030 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt PI)) (* (/ k 2) (log PI))) (- (log (sqrt k)) (* (+ (log n) (log 2)) (- 1/2 (/ k 2))))))) 1540196455.030 * * * * [misc]progress: [ 69 / 180 ] simplifiying candidate # 1540196455.030 * * * * [misc]progress: [ 70 / 180 ] simplifiying candidate # 1540196455.031 * * * * [misc]progress: [ 71 / 180 ] simplifiying candidate # 1540196455.031 * [enter]simplify: Simplifying (* (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))) (/ (* (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2)))) (pow PI (- (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1540196455.031 * * [misc]simplify: iters left: 6 (27 enodes) 1540196455.041 * * [misc]simplify: iters left: 5 (56 enodes) 1540196455.063 * * [misc]simplify: iters left: 4 (215 enodes) 1540196455.327 * [exit]simplify: Simplified to (/ (* (* (* PI (sqrt PI)) (pow n (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (/ (/ (/ k (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (/ (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))) 1540196455.327 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (* (* PI (sqrt PI)) (pow n (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (/ (/ (/ k (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (/ (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2)))) (/ (sqrt k) (pow PI (- (/ k 2))))))))) 1540196455.327 * * * * [misc]progress: [ 72 / 180 ] simplifiying candidate # 1540196455.328 * [enter]simplify: Simplifying (* (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))) (/ (* (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2)))) (pow PI (- (/ k 2)))) (* (* (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196455.328 * * [misc]simplify: iters left: 6 (25 enodes) 1540196455.337 * * [misc]simplify: iters left: 5 (55 enodes) 1540196455.360 * * [misc]simplify: iters left: 4 (199 enodes) 1540196455.545 * [exit]simplify: Simplified to (* (* (* (* (* PI (sqrt PI)) (pow n (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- (/ k 2))) (sqrt k)))) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- (/ k 2))) (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- (/ k 2))) (sqrt k))))) 1540196455.545 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (* (* PI (sqrt PI)) (pow n (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- (/ k 2))) (sqrt k)))) (* (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- (/ k 2))) (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- (/ k 2))) (sqrt k))))))) 1540196455.545 * * * * [misc]progress: [ 73 / 180 ] simplifiying candidate # 1540196455.545 * [enter]simplify: Simplifying (* (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))) (* (* (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196455.545 * * [misc]simplify: iters left: 6 (23 enodes) 1540196455.551 * * [misc]simplify: iters left: 5 (47 enodes) 1540196455.570 * * [misc]simplify: iters left: 4 (160 enodes) 1540196455.684 * [exit]simplify: Simplified to (* (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (* PI (sqrt PI)) (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (- (/ k 2))) (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (* (* (/ (pow PI (- (/ k 2))) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (/ (pow PI (- (/ k 2))) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196455.684 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (* (* PI (sqrt PI)) (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (- (/ k 2))) (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (* (* (/ (pow PI (- (/ k 2))) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (/ (pow PI (- (/ k 2))) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196455.684 * * * * [misc]progress: [ 74 / 180 ] simplifiying candidate # 1540196455.684 * [enter]simplify: Simplifying (* (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (/ (* (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2)))) (pow PI (- (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1540196455.684 * * [misc]simplify: iters left: 6 (25 enodes) 1540196455.691 * * [misc]simplify: iters left: 5 (55 enodes) 1540196455.702 * * [misc]simplify: iters left: 4 (201 enodes) 1540196455.892 * [exit]simplify: Simplified to (* (/ (* (* PI (pow n (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (/ (/ k (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (* (sqrt PI) (pow PI (- (/ k 2)))) (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2))))) (sqrt k))) 1540196455.892 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (* PI (pow n (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (/ (/ k (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (* (sqrt PI) (pow PI (- (/ k 2)))) (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2))))) (sqrt k))))) 1540196455.892 * * * * [misc]progress: [ 75 / 180 ] simplifiying candidate # 1540196455.892 * [enter]simplify: Simplifying (* (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (/ (* (* (pow PI (- (/ k 2))) (pow PI (- (/ k 2)))) (pow PI (- (/ k 2)))) (* (* (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196455.893 * * [misc]simplify: iters left: 6 (23 enodes) 1540196455.900 * * [misc]simplify: iters left: 5 (54 enodes) 1540196455.922 * * [misc]simplify: iters left: 4 (189 enodes) 1540196456.074 * [exit]simplify: Simplified to (* (/ (* (* PI (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (sqrt PI)))) (* (/ (* (pow PI (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ k (pow 2 (- 1/2 (/ k 2))))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1540196456.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (* PI (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (sqrt PI)))) (* (/ (* (pow PI (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ k (pow 2 (- 1/2 (/ k 2))))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))))) 1540196456.074 * * * * [misc]progress: [ 76 / 180 ] simplifiying candidate # 1540196456.074 * [enter]simplify: Simplifying (* (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (* (pow n (- 1/2 (/ k 2))) (sqrt PI))) (* (* (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196456.075 * * [misc]simplify: iters left: 6 (21 enodes) 1540196456.078 * * [misc]simplify: iters left: 5 (46 enodes) 1540196456.089 * * [misc]simplify: iters left: 4 (148 enodes) 1540196456.204 * [exit]simplify: Simplified to (* (* (* (/ (pow PI (- (/ k 2))) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (* PI (pow n (- 1/2 (/ k 2)))))) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (sqrt k))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k))))) 1540196456.204 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (/ (pow PI (- (/ k 2))) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (* PI (pow n (- 1/2 (/ k 2)))))) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (sqrt k))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (sqrt k))))))) 1540196456.204 * * * * [misc]progress: [ 77 / 180 ] simplifiying candidate # 1540196456.204 * * * * [misc]progress: [ 78 / 180 ] simplifiying candidate # 1540196456.204 * * * * [misc]progress: [ 79 / 180 ] simplifiying candidate # 1540196456.204 * * * * [misc]progress: [ 80 / 180 ] simplifiying candidate # 1540196456.204 * [enter]simplify: Simplifying (* (* (pow n 1/2) (sqrt PI)) (pow PI (- (/ k 2)))) 1540196456.205 * * [misc]simplify: iters left: 6 (12 enodes) 1540196456.208 * * [misc]simplify: iters left: 5 (19 enodes) 1540196456.213 * * [misc]simplify: iters left: 4 (25 enodes) 1540196456.219 * * [misc]simplify: iters left: 3 (26 enodes) 1540196456.226 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt n)) (pow PI (/ (- k) 2))) 1540196456.226 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (pow PI (/ (- k) 2))) (* (pow n (/ k 2)) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196456.226 * [enter]simplify: Simplifying (* (pow n (/ k 2)) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196456.226 * * [misc]simplify: iters left: 6 (11 enodes) 1540196456.228 * * [misc]simplify: iters left: 5 (16 enodes) 1540196456.231 * * [misc]simplify: iters left: 4 (23 enodes) 1540196456.233 * * [misc]simplify: iters left: 3 (25 enodes) 1540196456.236 * * [misc]simplify: iters left: 2 (27 enodes) 1540196456.239 * * [misc]simplify: iters left: 1 (28 enodes) 1540196456.243 * [exit]simplify: Simplified to (/ (* (pow n (/ k 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196456.243 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (pow PI (/ (- k) 2))) (/ (* (pow n (/ k 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.243 * * * * [misc]progress: [ 81 / 180 ] simplifiying candidate # 1540196456.243 * * * * [misc]progress: [ 82 / 180 ] simplifiying candidate # 1540196456.243 * [enter]simplify: Simplifying (cbrt (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.243 * * [misc]simplify: iters left: 6 (13 enodes) 1540196456.245 * * [misc]simplify: iters left: 5 (18 enodes) 1540196456.247 * * [misc]simplify: iters left: 4 (22 enodes) 1540196456.250 * * [misc]simplify: iters left: 3 (24 enodes) 1540196456.253 * [exit]simplify: Simplified to (cbrt (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt k)))) 1540196456.254 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (cbrt (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) (cbrt (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt k)))))) 1540196456.254 * * * * [misc]progress: [ 83 / 180 ] simplifiying candidate # 1540196456.254 * [enter]simplify: Simplifying (sqrt (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.254 * * [misc]simplify: iters left: 6 (13 enodes) 1540196456.256 * * [misc]simplify: iters left: 5 (18 enodes) 1540196456.258 * * [misc]simplify: iters left: 4 (22 enodes) 1540196456.262 * * [misc]simplify: iters left: 3 (24 enodes) 1540196456.268 * [exit]simplify: Simplified to (sqrt (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt k)))) 1540196456.268 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (sqrt (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) (sqrt (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt k)))))) 1540196456.268 * * * * [misc]progress: [ 84 / 180 ] simplifiying candidate # 1540196456.268 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.268 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.272 * * [misc]simplify: iters left: 5 (17 enodes) 1540196456.276 * * [misc]simplify: iters left: 4 (18 enodes) 1540196456.280 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.280 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (* (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) (/ (cbrt (pow PI (/ (- k) 2))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.280 * * * * [misc]progress: [ 85 / 180 ] simplifiying candidate # 1540196456.280 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.281 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.284 * * [misc]simplify: iters left: 5 (17 enodes) 1540196456.288 * * [misc]simplify: iters left: 4 (18 enodes) 1540196456.293 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.293 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (/ (- k) 2))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.293 * * * * [misc]progress: [ 86 / 180 ] simplifiying candidate # 1540196456.294 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196456.294 * * [misc]simplify: iters left: 6 (12 enodes) 1540196456.297 * * [misc]simplify: iters left: 5 (16 enodes) 1540196456.301 * * [misc]simplify: iters left: 4 (19 enodes) 1540196456.305 * * [misc]simplify: iters left: 3 (21 enodes) 1540196456.310 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196456.310 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)))) (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196456.310 * * * * [misc]progress: [ 87 / 180 ] simplifiying candidate # 1540196456.311 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196456.311 * * [misc]simplify: iters left: 6 (12 enodes) 1540196456.314 * * [misc]simplify: iters left: 5 (16 enodes) 1540196456.318 * * [misc]simplify: iters left: 4 (19 enodes) 1540196456.322 * * [misc]simplify: iters left: 3 (21 enodes) 1540196456.327 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196456.327 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)))) (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196456.327 * * * * [misc]progress: [ 88 / 180 ] simplifiying candidate # 1540196456.328 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.328 * * [misc]simplify: iters left: 6 (15 enodes) 1540196456.332 * * [misc]simplify: iters left: 5 (20 enodes) 1540196456.337 * * [misc]simplify: iters left: 4 (24 enodes) 1540196456.343 * * [misc]simplify: iters left: 3 (26 enodes) 1540196456.350 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.350 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.350 * * * * [misc]progress: [ 89 / 180 ] simplifiying candidate # 1540196456.351 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.351 * * [misc]simplify: iters left: 6 (15 enodes) 1540196456.355 * * [misc]simplify: iters left: 5 (20 enodes) 1540196456.361 * * [misc]simplify: iters left: 4 (24 enodes) 1540196456.368 * * [misc]simplify: iters left: 3 (26 enodes) 1540196456.375 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.375 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.375 * * * * [misc]progress: [ 90 / 180 ] simplifiying candidate # 1540196456.375 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196456.375 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.379 * * [misc]simplify: iters left: 5 (19 enodes) 1540196456.385 * * [misc]simplify: iters left: 4 (23 enodes) 1540196456.391 * * [misc]simplify: iters left: 3 (25 enodes) 1540196456.394 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196456.394 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (cbrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196456.394 * * * * [misc]progress: [ 91 / 180 ] simplifiying candidate # 1540196456.394 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196456.395 * * [misc]simplify: iters left: 6 (12 enodes) 1540196456.396 * * [misc]simplify: iters left: 5 (16 enodes) 1540196456.398 * * [misc]simplify: iters left: 4 (19 enodes) 1540196456.401 * * [misc]simplify: iters left: 3 (21 enodes) 1540196456.404 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196456.404 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 1/2)))) (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196456.404 * * * * [misc]progress: [ 92 / 180 ] simplifiying candidate # 1540196456.404 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196456.404 * * [misc]simplify: iters left: 6 (12 enodes) 1540196456.406 * * [misc]simplify: iters left: 5 (16 enodes) 1540196456.408 * * [misc]simplify: iters left: 4 (19 enodes) 1540196456.411 * * [misc]simplify: iters left: 3 (21 enodes) 1540196456.417 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196456.417 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 1/2)))) (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196456.417 * * * * [misc]progress: [ 93 / 180 ] simplifiying candidate # 1540196456.417 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.417 * * [misc]simplify: iters left: 6 (15 enodes) 1540196456.422 * * [misc]simplify: iters left: 5 (20 enodes) 1540196456.427 * * [misc]simplify: iters left: 4 (24 enodes) 1540196456.434 * * [misc]simplify: iters left: 3 (26 enodes) 1540196456.441 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.441 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.441 * * * * [misc]progress: [ 94 / 180 ] simplifiying candidate # 1540196456.441 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.442 * * [misc]simplify: iters left: 6 (15 enodes) 1540196456.446 * * [misc]simplify: iters left: 5 (20 enodes) 1540196456.451 * * [misc]simplify: iters left: 4 (24 enodes) 1540196456.458 * * [misc]simplify: iters left: 3 (26 enodes) 1540196456.465 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.465 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.465 * * * * [misc]progress: [ 95 / 180 ] simplifiying candidate # 1540196456.465 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196456.465 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.470 * * [misc]simplify: iters left: 5 (19 enodes) 1540196456.475 * * [misc]simplify: iters left: 4 (23 enodes) 1540196456.481 * * [misc]simplify: iters left: 3 (25 enodes) 1540196456.487 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196456.488 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) 1))) (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196456.488 * * * * [misc]progress: [ 96 / 180 ] simplifiying candidate # 1540196456.488 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540196456.488 * * [misc]simplify: iters left: 6 (11 enodes) 1540196456.491 * * [misc]simplify: iters left: 5 (15 enodes) 1540196456.495 * * [misc]simplify: iters left: 4 (18 enodes) 1540196456.500 * * [misc]simplify: iters left: 3 (20 enodes) 1540196456.502 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540196456.502 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ 1 (pow 2 1/2)))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))))) 1540196456.503 * * * * [misc]progress: [ 97 / 180 ] simplifiying candidate # 1540196456.503 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540196456.503 * * [misc]simplify: iters left: 6 (11 enodes) 1540196456.504 * * [misc]simplify: iters left: 5 (15 enodes) 1540196456.506 * * [misc]simplify: iters left: 4 (18 enodes) 1540196456.509 * * [misc]simplify: iters left: 3 (20 enodes) 1540196456.512 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540196456.512 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ 1 (pow 2 1/2)))) (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))))) 1540196456.512 * * * * [misc]progress: [ 98 / 180 ] simplifiying candidate # 1540196456.512 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.512 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.514 * * [misc]simplify: iters left: 5 (19 enodes) 1540196456.517 * * [misc]simplify: iters left: 4 (23 enodes) 1540196456.520 * * [misc]simplify: iters left: 3 (25 enodes) 1540196456.523 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (/ (- k) 2))) (sqrt k))) 1540196456.523 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (/ (- k) 2))) (sqrt k))))) 1540196456.523 * * * * [misc]progress: [ 99 / 180 ] simplifiying candidate # 1540196456.524 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.524 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.526 * * [misc]simplify: iters left: 5 (19 enodes) 1540196456.529 * * [misc]simplify: iters left: 4 (23 enodes) 1540196456.535 * * [misc]simplify: iters left: 3 (25 enodes) 1540196456.542 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (/ (- k) 2))) (sqrt k))) 1540196456.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (/ (- k) 2))) (sqrt k))))) 1540196456.542 * * * * [misc]progress: [ 100 / 180 ] simplifiying candidate # 1540196456.543 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196456.543 * * [misc]simplify: iters left: 6 (13 enodes) 1540196456.547 * * [misc]simplify: iters left: 5 (18 enodes) 1540196456.552 * * [misc]simplify: iters left: 4 (22 enodes) 1540196456.558 * * [misc]simplify: iters left: 3 (24 enodes) 1540196456.564 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196456.564 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ 1 1))) (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196456.564 * * * * [misc]progress: [ 101 / 180 ] simplifiying candidate # 1540196456.564 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196456.564 * * [misc]simplify: iters left: 6 (13 enodes) 1540196456.568 * * [misc]simplify: iters left: 5 (18 enodes) 1540196456.573 * * [misc]simplify: iters left: 4 (22 enodes) 1540196456.579 * * [misc]simplify: iters left: 3 (24 enodes) 1540196456.582 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196456.582 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) 1)) (/ (cbrt (pow PI (/ (- k) 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196456.582 * * * * [misc]progress: [ 102 / 180 ] simplifiying candidate # 1540196456.582 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196456.582 * * [misc]simplify: iters left: 6 (13 enodes) 1540196456.584 * * [misc]simplify: iters left: 5 (20 enodes) 1540196456.587 * * [misc]simplify: iters left: 4 (24 enodes) 1540196456.590 * * [misc]simplify: iters left: 3 (34 enodes) 1540196456.594 * * [misc]simplify: iters left: 2 (36 enodes) 1540196456.597 * * [misc]simplify: iters left: 1 (41 enodes) 1540196456.602 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (cbrt (pow PI (/ (- k) 2)))) 1540196456.602 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (cbrt (pow PI (/ (- k) 2)))))) 1540196456.602 * * * * [misc]progress: [ 103 / 180 ] simplifiying candidate # 1540196456.602 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- (/ k 2)))) (pow 2 (/ k 2))) 1540196456.602 * * [misc]simplify: iters left: 6 (9 enodes) 1540196456.603 * * [misc]simplify: iters left: 5 (11 enodes) 1540196456.605 * [exit]simplify: Simplified to (/ (cbrt (pow PI (/ (- k) 2))) (pow 2 (/ k 2))) 1540196456.605 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (* (cbrt (pow PI (- (/ k 2)))) (cbrt (pow PI (- (/ k 2))))) (/ (sqrt k) (pow 2 1/2)))) (/ (cbrt (pow PI (/ (- k) 2))) (pow 2 (/ k 2))))) 1540196456.605 * * * * [misc]progress: [ 104 / 180 ] simplifiying candidate # 1540196456.605 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.605 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.607 * * [misc]simplify: iters left: 5 (17 enodes) 1540196456.611 * * [misc]simplify: iters left: 4 (18 enodes) 1540196456.616 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.616 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (* (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) (/ (sqrt (pow PI (/ (- k) 2))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.616 * * * * [misc]progress: [ 105 / 180 ] simplifiying candidate # 1540196456.616 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.617 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.620 * * [misc]simplify: iters left: 5 (17 enodes) 1540196456.625 * * [misc]simplify: iters left: 4 (18 enodes) 1540196456.630 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.630 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (/ (- k) 2))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.630 * * * * [misc]progress: [ 106 / 180 ] simplifiying candidate # 1540196456.631 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196456.631 * * [misc]simplify: iters left: 6 (12 enodes) 1540196456.634 * * [misc]simplify: iters left: 5 (16 enodes) 1540196456.638 * * [misc]simplify: iters left: 4 (19 enodes) 1540196456.643 * * [misc]simplify: iters left: 3 (21 enodes) 1540196456.649 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196456.649 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)))) (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196456.649 * * * * [misc]progress: [ 107 / 180 ] simplifiying candidate # 1540196456.649 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196456.649 * * [misc]simplify: iters left: 6 (12 enodes) 1540196456.653 * * [misc]simplify: iters left: 5 (16 enodes) 1540196456.658 * * [misc]simplify: iters left: 4 (19 enodes) 1540196456.664 * * [misc]simplify: iters left: 3 (21 enodes) 1540196456.669 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196456.669 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)))) (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196456.669 * * * * [misc]progress: [ 108 / 180 ] simplifiying candidate # 1540196456.669 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.669 * * [misc]simplify: iters left: 6 (15 enodes) 1540196456.674 * * [misc]simplify: iters left: 5 (20 enodes) 1540196456.679 * * [misc]simplify: iters left: 4 (24 enodes) 1540196456.686 * * [misc]simplify: iters left: 3 (26 enodes) 1540196456.692 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.692 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.692 * * * * [misc]progress: [ 109 / 180 ] simplifiying candidate # 1540196456.693 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.693 * * [misc]simplify: iters left: 6 (15 enodes) 1540196456.697 * * [misc]simplify: iters left: 5 (20 enodes) 1540196456.703 * * [misc]simplify: iters left: 4 (24 enodes) 1540196456.709 * * [misc]simplify: iters left: 3 (26 enodes) 1540196456.716 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.716 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.716 * * * * [misc]progress: [ 110 / 180 ] simplifiying candidate # 1540196456.716 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196456.716 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.720 * * [misc]simplify: iters left: 5 (19 enodes) 1540196456.725 * * [misc]simplify: iters left: 4 (23 enodes) 1540196456.731 * * [misc]simplify: iters left: 3 (25 enodes) 1540196456.738 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196456.738 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (/ (sqrt (pow PI (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196456.738 * * * * [misc]progress: [ 111 / 180 ] simplifiying candidate # 1540196456.738 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196456.738 * * [misc]simplify: iters left: 6 (12 enodes) 1540196456.742 * * [misc]simplify: iters left: 5 (16 enodes) 1540196456.746 * * [misc]simplify: iters left: 4 (19 enodes) 1540196456.751 * * [misc]simplify: iters left: 3 (21 enodes) 1540196456.756 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196456.756 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 1/2)))) (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196456.756 * * * * [misc]progress: [ 112 / 180 ] simplifiying candidate # 1540196456.757 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196456.757 * * [misc]simplify: iters left: 6 (12 enodes) 1540196456.760 * * [misc]simplify: iters left: 5 (16 enodes) 1540196456.764 * * [misc]simplify: iters left: 4 (19 enodes) 1540196456.768 * * [misc]simplify: iters left: 3 (21 enodes) 1540196456.771 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196456.771 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 1/2)))) (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196456.771 * * * * [misc]progress: [ 113 / 180 ] simplifiying candidate # 1540196456.771 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.771 * * [misc]simplify: iters left: 6 (15 enodes) 1540196456.773 * * [misc]simplify: iters left: 5 (20 enodes) 1540196456.776 * * [misc]simplify: iters left: 4 (24 enodes) 1540196456.779 * * [misc]simplify: iters left: 3 (26 enodes) 1540196456.782 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.782 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.782 * * * * [misc]progress: [ 114 / 180 ] simplifiying candidate # 1540196456.782 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.782 * * [misc]simplify: iters left: 6 (15 enodes) 1540196456.784 * * [misc]simplify: iters left: 5 (20 enodes) 1540196456.787 * * [misc]simplify: iters left: 4 (24 enodes) 1540196456.790 * * [misc]simplify: iters left: 3 (26 enodes) 1540196456.793 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.793 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.793 * * * * [misc]progress: [ 115 / 180 ] simplifiying candidate # 1540196456.794 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196456.794 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.796 * * [misc]simplify: iters left: 5 (19 enodes) 1540196456.798 * * [misc]simplify: iters left: 4 (23 enodes) 1540196456.801 * * [misc]simplify: iters left: 3 (25 enodes) 1540196456.804 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196456.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt (sqrt k)) 1))) (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196456.804 * * * * [misc]progress: [ 116 / 180 ] simplifiying candidate # 1540196456.804 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540196456.804 * * [misc]simplify: iters left: 6 (11 enodes) 1540196456.806 * * [misc]simplify: iters left: 5 (15 enodes) 1540196456.808 * * [misc]simplify: iters left: 4 (18 enodes) 1540196456.810 * * [misc]simplify: iters left: 3 (20 enodes) 1540196456.813 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540196456.813 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ 1 (pow 2 1/2)))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))))) 1540196456.813 * * * * [misc]progress: [ 117 / 180 ] simplifiying candidate # 1540196456.813 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540196456.813 * * [misc]simplify: iters left: 6 (11 enodes) 1540196456.815 * * [misc]simplify: iters left: 5 (15 enodes) 1540196456.817 * * [misc]simplify: iters left: 4 (18 enodes) 1540196456.819 * * [misc]simplify: iters left: 3 (20 enodes) 1540196456.821 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540196456.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ 1 (pow 2 1/2)))) (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- (/ k 2))))))) 1540196456.821 * * * * [misc]progress: [ 118 / 180 ] simplifiying candidate # 1540196456.822 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.822 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.824 * * [misc]simplify: iters left: 5 (19 enodes) 1540196456.826 * * [misc]simplify: iters left: 4 (23 enodes) 1540196456.829 * * [misc]simplify: iters left: 3 (25 enodes) 1540196456.832 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (/ (- k) 2))) (sqrt k))) 1540196456.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (/ (- k) 2))) (sqrt k))))) 1540196456.833 * * * * [misc]progress: [ 119 / 180 ] simplifiying candidate # 1540196456.833 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.833 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.835 * * [misc]simplify: iters left: 5 (19 enodes) 1540196456.838 * * [misc]simplify: iters left: 4 (23 enodes) 1540196456.841 * * [misc]simplify: iters left: 3 (25 enodes) 1540196456.844 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (/ (- k) 2))) (sqrt k))) 1540196456.844 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (/ (- k) 2))) (sqrt k))))) 1540196456.844 * * * * [misc]progress: [ 120 / 180 ] simplifiying candidate # 1540196456.844 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196456.844 * * [misc]simplify: iters left: 6 (13 enodes) 1540196456.846 * * [misc]simplify: iters left: 5 (18 enodes) 1540196456.848 * * [misc]simplify: iters left: 4 (22 enodes) 1540196456.851 * * [misc]simplify: iters left: 3 (24 enodes) 1540196456.857 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196456.857 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ 1 1))) (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196456.857 * * * * [misc]progress: [ 121 / 180 ] simplifiying candidate # 1540196456.858 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196456.858 * * [misc]simplify: iters left: 6 (13 enodes) 1540196456.861 * * [misc]simplify: iters left: 5 (18 enodes) 1540196456.867 * * [misc]simplify: iters left: 4 (22 enodes) 1540196456.874 * * [misc]simplify: iters left: 3 (24 enodes) 1540196456.880 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196456.880 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) 1)) (/ (sqrt (pow PI (/ (- k) 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196456.880 * * * * [misc]progress: [ 122 / 180 ] simplifiying candidate # 1540196456.880 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196456.880 * * [misc]simplify: iters left: 6 (13 enodes) 1540196456.884 * * [misc]simplify: iters left: 5 (20 enodes) 1540196456.890 * * [misc]simplify: iters left: 4 (24 enodes) 1540196456.897 * * [misc]simplify: iters left: 3 (34 enodes) 1540196456.901 * * [misc]simplify: iters left: 2 (36 enodes) 1540196456.904 * * [misc]simplify: iters left: 1 (41 enodes) 1540196456.909 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (sqrt (pow PI (/ (- k) 2)))) 1540196456.909 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (sqrt (pow PI (/ (- k) 2)))))) 1540196456.909 * * * * [misc]progress: [ 123 / 180 ] simplifiying candidate # 1540196456.909 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- (/ k 2)))) (pow 2 (/ k 2))) 1540196456.909 * * [misc]simplify: iters left: 6 (9 enodes) 1540196456.910 * * [misc]simplify: iters left: 5 (11 enodes) 1540196456.912 * [exit]simplify: Simplified to (/ (sqrt (pow PI (/ (- k) 2))) (pow 2 (/ k 2))) 1540196456.912 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (sqrt (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 1/2)))) (/ (sqrt (pow PI (/ (- k) 2))) (pow 2 (/ k 2))))) 1540196456.912 * * * * [misc]progress: [ 124 / 180 ] simplifiying candidate # 1540196456.912 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.912 * * [misc]simplify: iters left: 6 (13 enodes) 1540196456.914 * * [misc]simplify: iters left: 5 (16 enodes) 1540196456.917 * * [misc]simplify: iters left: 4 (17 enodes) 1540196456.922 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.922 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (* (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.922 * * * * [misc]progress: [ 125 / 180 ] simplifiying candidate # 1540196456.922 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.922 * * [misc]simplify: iters left: 6 (13 enodes) 1540196456.926 * * [misc]simplify: iters left: 5 (16 enodes) 1540196456.931 * * [misc]simplify: iters left: 4 (17 enodes) 1540196456.936 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196456.936 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196456.936 * * * * [misc]progress: [ 126 / 180 ] simplifiying candidate # 1540196456.936 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196456.936 * * [misc]simplify: iters left: 6 (11 enodes) 1540196456.939 * * [misc]simplify: iters left: 5 (15 enodes) 1540196456.944 * * [misc]simplify: iters left: 4 (18 enodes) 1540196456.949 * * [misc]simplify: iters left: 3 (20 enodes) 1540196456.954 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (cbrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540196456.954 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)))) (* (/ (pow PI (- (/ k 2))) (cbrt (sqrt k))) (pow 2 (- (/ k 2)))))) 1540196456.954 * * * * [misc]progress: [ 127 / 180 ] simplifiying candidate # 1540196456.954 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196456.955 * * [misc]simplify: iters left: 6 (11 enodes) 1540196456.956 * * [misc]simplify: iters left: 5 (15 enodes) 1540196456.958 * * [misc]simplify: iters left: 4 (18 enodes) 1540196456.961 * * [misc]simplify: iters left: 3 (20 enodes) 1540196456.963 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (cbrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540196456.963 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow 2 1/2)))) (* (/ (pow PI (- (/ k 2))) (cbrt (sqrt k))) (pow 2 (- (/ k 2)))))) 1540196456.963 * * * * [misc]progress: [ 128 / 180 ] simplifiying candidate # 1540196456.964 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.964 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.966 * * [misc]simplify: iters left: 5 (19 enodes) 1540196456.968 * * [misc]simplify: iters left: 4 (23 enodes) 1540196456.971 * * [misc]simplify: iters left: 3 (25 enodes) 1540196456.975 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540196456.975 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1540196456.975 * * * * [misc]progress: [ 129 / 180 ] simplifiying candidate # 1540196456.975 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196456.975 * * [misc]simplify: iters left: 6 (14 enodes) 1540196456.977 * * [misc]simplify: iters left: 5 (19 enodes) 1540196456.979 * * [misc]simplify: iters left: 4 (23 enodes) 1540196456.982 * * [misc]simplify: iters left: 3 (25 enodes) 1540196456.988 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540196456.988 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1540196456.988 * * * * [misc]progress: [ 130 / 180 ] simplifiying candidate # 1540196456.988 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196456.989 * * [misc]simplify: iters left: 6 (13 enodes) 1540196456.992 * * [misc]simplify: iters left: 5 (18 enodes) 1540196456.997 * * [misc]simplify: iters left: 4 (22 enodes) 1540196457.003 * * [misc]simplify: iters left: 3 (24 enodes) 1540196457.009 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1540196457.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1540196457.009 * * * * [misc]progress: [ 131 / 180 ] simplifiying candidate # 1540196457.009 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196457.010 * * [misc]simplify: iters left: 6 (11 enodes) 1540196457.013 * * [misc]simplify: iters left: 5 (15 enodes) 1540196457.017 * * [misc]simplify: iters left: 4 (18 enodes) 1540196457.021 * * [misc]simplify: iters left: 3 (20 enodes) 1540196457.026 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540196457.026 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ (sqrt (sqrt k)) (pow 2 1/2)))) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (pow 2 (- (/ k 2)))))) 1540196457.026 * * * * [misc]progress: [ 132 / 180 ] simplifiying candidate # 1540196457.027 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196457.027 * * [misc]simplify: iters left: 6 (11 enodes) 1540196457.030 * * [misc]simplify: iters left: 5 (15 enodes) 1540196457.034 * * [misc]simplify: iters left: 4 (18 enodes) 1540196457.038 * * [misc]simplify: iters left: 3 (20 enodes) 1540196457.044 * [exit]simplify: Simplified to (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540196457.044 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ (sqrt (sqrt k)) (pow 2 1/2)))) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (pow 2 (- (/ k 2)))))) 1540196457.044 * * * * [misc]progress: [ 133 / 180 ] simplifiying candidate # 1540196457.044 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196457.044 * * [misc]simplify: iters left: 6 (14 enodes) 1540196457.048 * * [misc]simplify: iters left: 5 (19 enodes) 1540196457.053 * * [misc]simplify: iters left: 4 (23 enodes) 1540196457.059 * * [misc]simplify: iters left: 3 (25 enodes) 1540196457.066 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196457.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196457.066 * * * * [misc]progress: [ 134 / 180 ] simplifiying candidate # 1540196457.066 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196457.066 * * [misc]simplify: iters left: 6 (14 enodes) 1540196457.070 * * [misc]simplify: iters left: 5 (19 enodes) 1540196457.075 * * [misc]simplify: iters left: 4 (23 enodes) 1540196457.081 * * [misc]simplify: iters left: 3 (25 enodes) 1540196457.087 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196457.088 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196457.088 * * * * [misc]progress: [ 135 / 180 ] simplifiying candidate # 1540196457.088 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196457.088 * * [misc]simplify: iters left: 6 (13 enodes) 1540196457.092 * * [misc]simplify: iters left: 5 (18 enodes) 1540196457.097 * * [misc]simplify: iters left: 4 (22 enodes) 1540196457.103 * * [misc]simplify: iters left: 3 (24 enodes) 1540196457.106 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196457.106 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ (sqrt (sqrt k)) 1))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196457.106 * * * * [misc]progress: [ 136 / 180 ] simplifiying candidate # 1540196457.106 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540196457.107 * * [misc]simplify: iters left: 6 (10 enodes) 1540196457.110 * * [misc]simplify: iters left: 5 (14 enodes) 1540196457.112 * * [misc]simplify: iters left: 4 (17 enodes) 1540196457.114 * * [misc]simplify: iters left: 3 (19 enodes) 1540196457.116 * [exit]simplify: Simplified to (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt k)) 1540196457.116 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ 1 (pow 2 1/2)))) (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt k)))) 1540196457.116 * * * * [misc]progress: [ 137 / 180 ] simplifiying candidate # 1540196457.117 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- (/ k 2))))) 1540196457.117 * * [misc]simplify: iters left: 6 (10 enodes) 1540196457.118 * * [misc]simplify: iters left: 5 (14 enodes) 1540196457.120 * * [misc]simplify: iters left: 4 (17 enodes) 1540196457.122 * * [misc]simplify: iters left: 3 (19 enodes) 1540196457.125 * [exit]simplify: Simplified to (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt k)) 1540196457.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ 1 (pow 2 1/2)))) (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt k)))) 1540196457.125 * * * * [misc]progress: [ 138 / 180 ] simplifiying candidate # 1540196457.125 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196457.125 * * [misc]simplify: iters left: 6 (13 enodes) 1540196457.127 * * [misc]simplify: iters left: 5 (18 enodes) 1540196457.129 * * [misc]simplify: iters left: 4 (22 enodes) 1540196457.132 * * [misc]simplify: iters left: 3 (24 enodes) 1540196457.135 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196457.135 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196457.135 * * * * [misc]progress: [ 139 / 180 ] simplifiying candidate # 1540196457.135 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196457.135 * * [misc]simplify: iters left: 6 (13 enodes) 1540196457.137 * * [misc]simplify: iters left: 5 (18 enodes) 1540196457.139 * * [misc]simplify: iters left: 4 (22 enodes) 1540196457.142 * * [misc]simplify: iters left: 3 (24 enodes) 1540196457.145 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196457.145 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196457.145 * * * * [misc]progress: [ 140 / 180 ] simplifiying candidate # 1540196457.145 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196457.145 * * [misc]simplify: iters left: 6 (12 enodes) 1540196457.147 * * [misc]simplify: iters left: 5 (17 enodes) 1540196457.151 * * [misc]simplify: iters left: 4 (21 enodes) 1540196457.157 * * [misc]simplify: iters left: 3 (23 enodes) 1540196457.163 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196457.163 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ 1 1))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196457.163 * * * * [misc]progress: [ 141 / 180 ] simplifiying candidate # 1540196457.163 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196457.163 * * [misc]simplify: iters left: 6 (12 enodes) 1540196457.167 * * [misc]simplify: iters left: 5 (17 enodes) 1540196457.172 * * [misc]simplify: iters left: 4 (21 enodes) 1540196457.177 * * [misc]simplify: iters left: 3 (23 enodes) 1540196457.183 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196457.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 1)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196457.183 * * * * [misc]progress: [ 142 / 180 ] simplifiying candidate # 1540196457.183 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196457.184 * * [misc]simplify: iters left: 6 (12 enodes) 1540196457.187 * * [misc]simplify: iters left: 5 (19 enodes) 1540196457.192 * * [misc]simplify: iters left: 4 (23 enodes) 1540196457.199 * * [misc]simplify: iters left: 3 (33 enodes) 1540196457.207 * * [misc]simplify: iters left: 2 (35 enodes) 1540196457.213 * * [misc]simplify: iters left: 1 (40 enodes) 1540196457.223 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1540196457.223 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1540196457.224 * * * * [misc]progress: [ 143 / 180 ] simplifiying candidate # 1540196457.224 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))) 1540196457.224 * * [misc]simplify: iters left: 6 (8 enodes) 1540196457.226 * * [misc]simplify: iters left: 5 (10 enodes) 1540196457.229 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))) 1540196457.229 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ 1 (/ (sqrt k) (pow 2 1/2)))) (/ (pow PI (- (/ k 2))) (pow 2 (/ k 2))))) 1540196457.229 * * * * [misc]progress: [ 144 / 180 ] simplifiying candidate # 1540196457.229 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196457.230 * * [misc]simplify: iters left: 6 (12 enodes) 1540196457.233 * * [misc]simplify: iters left: 5 (17 enodes) 1540196457.238 * * [misc]simplify: iters left: 4 (21 enodes) 1540196457.244 * * [misc]simplify: iters left: 3 (23 enodes) 1540196457.250 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196457.250 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196457.250 * * * * [misc]progress: [ 145 / 180 ] simplifiying candidate # 1540196457.250 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196457.250 * * [misc]simplify: iters left: 6 (10 enodes) 1540196457.253 * * [misc]simplify: iters left: 5 (16 enodes) 1540196457.258 * * [misc]simplify: iters left: 4 (22 enodes) 1540196457.264 * * [misc]simplify: iters left: 3 (30 enodes) 1540196457.273 * * [misc]simplify: iters left: 2 (38 enodes) 1540196457.281 * * [misc]simplify: iters left: 1 (48 enodes) 1540196457.288 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)) 1540196457.288 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (pow PI (- (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt k)))) 1540196457.288 * * * * [misc]progress: [ 146 / 180 ] simplifiying candidate # 1540196457.288 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1540196457.288 * * [misc]simplify: iters left: 5 (6 enodes) 1540196457.289 * * [misc]simplify: iters left: 4 (8 enodes) 1540196457.290 * * [misc]simplify: iters left: 3 (11 enodes) 1540196457.291 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1540196457.291 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196457.291 * * * * [misc]progress: [ 147 / 180 ] simplifiying candidate # 1540196457.291 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1540196457.291 * * [misc]simplify: iters left: 5 (7 enodes) 1540196457.292 * * [misc]simplify: iters left: 4 (9 enodes) 1540196457.294 * * [misc]simplify: iters left: 3 (12 enodes) 1540196457.295 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540196457.295 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196457.295 * * * * [misc]progress: [ 148 / 180 ] simplifiying candidate # 1540196457.295 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540196457.295 * * [misc]simplify: iters left: 6 (8 enodes) 1540196457.296 * * [misc]simplify: iters left: 5 (10 enodes) 1540196457.298 * * [misc]simplify: iters left: 4 (13 enodes) 1540196457.299 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1540196457.299 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (pow PI (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196457.300 * * * * [misc]progress: [ 149 / 180 ] simplifiying candidate # 1540196457.300 * [enter]simplify: Simplifying (* (* (pow n 1/2) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196457.300 * * [misc]simplify: iters left: 6 (17 enodes) 1540196457.302 * * [misc]simplify: iters left: 5 (29 enodes) 1540196457.306 * * [misc]simplify: iters left: 4 (56 enodes) 1540196457.322 * * [misc]simplify: iters left: 3 (131 enodes) 1540196457.376 * * [misc]simplify: iters left: 2 (220 enodes) 1540196457.453 * * [misc]simplify: iters left: 1 (307 enodes) 1540196457.604 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (sqrt PI))) (* (sqrt n) (pow 2 (- 1/2 (/ k 2))))) 1540196457.604 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (sqrt PI))) (* (sqrt n) (pow 2 (- 1/2 (/ k 2))))) (pow n (/ k 2)))) 1540196457.604 * * * * [misc]progress: [ 150 / 180 ] simplifiying candidate # 1540196457.604 * * * * [misc]progress: [ 151 / 180 ] simplifiying candidate # 1540196457.605 * * * * [misc]progress: [ 152 / 180 ] simplifiying candidate # 1540196457.605 * [enter]simplify: Simplifying (+ (* (log n) (- 1/2 (/ k 2))) (log (sqrt PI))) 1540196457.605 * * [misc]simplify: iters left: 6 (12 enodes) 1540196457.609 * * [misc]simplify: iters left: 5 (16 enodes) 1540196457.613 * * [misc]simplify: iters left: 4 (25 enodes) 1540196457.621 * * [misc]simplify: iters left: 3 (43 enodes) 1540196457.632 * * [misc]simplify: iters left: 2 (68 enodes) 1540196457.643 * * [misc]simplify: iters left: 1 (89 enodes) 1540196457.654 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log n)) (log (sqrt PI))) 1540196457.654 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (+ (* (- 1/2 (/ k 2)) (log n)) (log (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196457.654 * * * * [misc]progress: [ 153 / 180 ] simplifiying candidate # 1540196457.654 * [enter]simplify: Simplifying (+ (log (pow n (- 1/2 (/ k 2)))) (log (sqrt PI))) 1540196457.655 * * [misc]simplify: iters left: 6 (12 enodes) 1540196457.657 * * [misc]simplify: iters left: 5 (17 enodes) 1540196457.659 * * [misc]simplify: iters left: 4 (21 enodes) 1540196457.664 * * [misc]simplify: iters left: 3 (29 enodes) 1540196457.673 * * [misc]simplify: iters left: 2 (53 enodes) 1540196457.687 * * [misc]simplify: iters left: 1 (84 enodes) 1540196457.709 * [exit]simplify: Simplified to (+ (* (log n) (- 1/2 (/ k 2))) (log (sqrt PI))) 1540196457.709 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (exp (+ (* (log n) (- 1/2 (/ k 2))) (log (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196457.709 * * * * [misc]progress: [ 154 / 180 ] simplifiying candidate # 1540196457.709 * * * * [misc]progress: [ 155 / 180 ] simplifiying candidate # 1540196457.710 * * * * [misc]progress: [ 156 / 180 ] simplifiying candidate # 1540196457.710 * [enter]simplify: Simplifying (* (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))) 1540196457.710 * * [misc]simplify: iters left: 6 (14 enodes) 1540196457.714 * * [misc]simplify: iters left: 5 (23 enodes) 1540196457.722 * * [misc]simplify: iters left: 4 (51 enodes) 1540196457.738 * * [misc]simplify: iters left: 3 (85 enodes) 1540196457.751 * * [misc]simplify: iters left: 2 (106 enodes) 1540196457.764 * * [misc]simplify: iters left: 1 (112 enodes) 1540196457.788 * [exit]simplify: Simplified to (* (* (* PI (sqrt PI)) (pow n (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) 1540196457.788 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (cbrt (* (* (* PI (sqrt PI)) (pow n (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196457.788 * * * * [misc]progress: [ 157 / 180 ] simplifiying candidate # 1540196457.789 * * * * [misc]progress: [ 158 / 180 ] simplifiying candidate # 1540196457.789 * * * * [misc]progress: [ 159 / 180 ] simplifiying candidate # 1540196457.789 * * * * [misc]progress: [ 160 / 180 ] simplifiying candidate # 1540196457.789 * * * * [misc]progress: [ 161 / 180 ] simplifiying candidate # 1540196457.789 * [enter]simplify: Simplifying (cbrt (sqrt PI)) 1540196457.789 * * [misc]simplify: iters left: 2 (3 enodes) 1540196457.790 * [exit]simplify: Simplified to (cbrt (sqrt PI)) 1540196457.790 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (cbrt (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196457.790 * * * * [misc]progress: [ 162 / 180 ] simplifiying candidate # 1540196457.790 * [enter]simplify: Simplifying (sqrt (sqrt PI)) 1540196457.790 * * [misc]simplify: iters left: 2 (3 enodes) 1540196457.791 * [exit]simplify: Simplified to (sqrt (sqrt PI)) 1540196457.791 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (sqrt (sqrt PI))) (sqrt (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196457.791 * * * * [misc]progress: [ 163 / 180 ] simplifiying candidate # 1540196457.792 * [enter]simplify: Simplifying (sqrt PI) 1540196457.792 * * [misc]simplify: iters left: 1 (2 enodes) 1540196457.792 * [exit]simplify: Simplified to (sqrt PI) 1540196457.792 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) 1) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196457.792 * * * * [misc]progress: [ 164 / 180 ] simplifiying candidate # 1540196457.792 * [enter]simplify: Simplifying (pow n 1/2) 1540196457.793 * * [misc]simplify: iters left: 1 (3 enodes) 1540196457.793 * [exit]simplify: Simplified to (sqrt n) 1540196457.794 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (sqrt n) (* (pow n (- (/ k 2))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196457.794 * * * * [misc]progress: [ 165 / 180 ] simplifiying candidate # 1540196457.794 * [enter]simplify: Simplifying (pow n 1/2) 1540196457.794 * * [misc]simplify: iters left: 1 (3 enodes) 1540196457.795 * [exit]simplify: Simplified to (sqrt n) 1540196457.795 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (sqrt n) (* (pow n (- (/ k 2))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196457.795 * * * * [misc]progress: [ 166 / 180 ] simplifiying candidate # 1540196457.795 * [enter]simplify: Simplifying (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196457.795 * * [misc]simplify: iters left: 6 (9 enodes) 1540196457.796 * * [misc]simplify: iters left: 5 (11 enodes) 1540196457.798 * * [misc]simplify: iters left: 4 (14 enodes) 1540196457.800 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196457.800 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196457.800 * * * * [misc]progress: [ 167 / 180 ] simplifiying candidate # 1540196457.801 * [enter]simplify: Simplifying (sqrt (pow n (- 1/2 (/ k 2)))) 1540196457.801 * * [misc]simplify: iters left: 6 (8 enodes) 1540196457.802 * * [misc]simplify: iters left: 5 (10 enodes) 1540196457.803 * * [misc]simplify: iters left: 4 (13 enodes) 1540196457.805 * [exit]simplify: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 1540196457.805 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196457.806 * * * * [misc]progress: [ 168 / 180 ] simplifiying candidate # 1540196457.806 * * * * [misc]progress: [ 169 / 180 ] simplifiying candidate # 1540196457.806 * [enter]simplify: Simplifying (* (pow n 1/2) (sqrt PI)) 1540196457.806 * * [misc]simplify: iters left: 3 (6 enodes) 1540196457.807 * * [misc]simplify: iters left: 2 (8 enodes) 1540196457.808 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540196457.808 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (pow n (/ k 2))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196457.808 * * * * [misc]progress: [ 170 / 180 ] simplifiying candidate # 1540196457.808 * * * * [misc]progress: [ 171 / 180 ] simplifiying candidate # 1540196457.808 * [enter]simplify: Simplifying (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196457.808 * * [misc]simplify: iters left: 6 (17 enodes) 1540196457.811 * * [misc]simplify: iters left: 5 (28 enodes) 1540196457.815 * * [misc]simplify: iters left: 4 (55 enodes) 1540196457.825 * * [misc]simplify: iters left: 3 (129 enodes) 1540196457.866 * * [misc]simplify: iters left: 2 (216 enodes) 1540196457.927 * * [misc]simplify: iters left: 1 (306 enodes) 1540196458.090 * [exit]simplify: Simplified to (* (* (pow PI (- (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI)))) 1540196458.090 * [misc]simplify: Simplified (2) to (λ (k n) (* (* (pow PI (- (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt PI))))) 1540196458.090 * * * * [misc]progress: [ 172 / 180 ] simplifiying candidate # 1540196458.090 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (* (pow (sqrt 1/2) 3) (pow k 3))))) (- (+ (* +nan.0 (* (sqrt 1/2) (pow k 3))) (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 3))))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))))))) 1540196458.091 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) +nan.0))) 1540196458.091 * * * * [misc]progress: [ 173 / 180 ] simplifiying candidate # 1540196458.091 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1540196458.091 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) +nan.0))) 1540196458.091 * * * * [misc]progress: [ 174 / 180 ] simplifiying candidate # 1540196458.091 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) k)))))))) 1540196458.091 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) +nan.0))) 1540196458.091 * * * * [misc]progress: [ 175 / 180 ] simplifiying candidate # 1540196458.092 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (pow PI 2) (pow k 2)))) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* PI k))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow PI 2) k)) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow PI 2) (* (log n) (pow k 2)))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* PI (* (log n) (pow k 2))))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) PI) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* (pow PI 2) (pow k 2)))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* PI (* (pow (log n) 2) (pow k 2)))) (sqrt n))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (* PI (pow k 2)))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (* PI (pow k 2)))) (sqrt n))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* PI (* (log n) (pow k 2))))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow PI 3) (pow k 2))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* PI (* (log n) k))) (sqrt n))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (* PI k))) (sqrt n))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (* PI (pow k 2))))) (sqrt n)))))))))))))))))))))))))))))))) 1540196458.092 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540196458.092 * * * * [misc]progress: [ 176 / 180 ] simplifiying candidate # 1540196458.092 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* -1/2 (* (log PI) k))) (* (pow PI 2) (exp (* (log 2) (- 1/2 (* 1/2 k))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* -1/2 (* (log PI) k))) (* PI (exp (* (log 2) (- 1/2 (* 1/2 k))))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* -1/2 (* (log PI) k))) (* (pow PI 3) (exp (* (log 2) (- 1/2 (* 1/2 k))))))) (pow k 3)))))))) 1540196458.092 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540196458.092 * * * * [misc]progress: [ 177 / 180 ] simplifiying candidate # 1540196458.093 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (exp (* -1/2 (* (log PI) k))))) k) (sqrt PI))) (- (+ (* +nan.0 (* (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* -1/2 (* (log PI) k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (pow k 2)) (sqrt PI))) (- (* +nan.0 (* (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* -1/2 (* (log PI) k))) (exp (* (log 2) (- 1/2 (* 1/2 k)))))) (sqrt PI)))))))) 1540196458.093 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1540196458.093 * * * * [misc]progress: [ 178 / 180 ] simplifiying candidate # 1540196458.093 * [enter]simplify: Simplifying (- (+ (* 1/8 (* (sqrt (* n PI)) (* (pow (log n) 2) (pow k 2)))) (sqrt (* n PI))) (* 1/2 (* (sqrt (* n PI)) (* (log n) k)))) 1540196458.093 * * [misc]simplify: iters left: 6 (19 enodes) 1540196458.100 * * [misc]simplify: iters left: 5 (41 enodes) 1540196458.114 * * [misc]simplify: iters left: 4 (111 enodes) 1540196458.162 * * [misc]simplify: iters left: 3 (272 enodes) 1540196458.329 * [exit]simplify: Simplified to (+ (- (sqrt (* PI n)) (* (* (log n) (* 1/2 k)) (sqrt (* PI n)))) (* (* (sqrt (* PI n)) 1/8) (* (* k (log n)) (* k (log n))))) 1540196458.329 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (+ (- (sqrt (* PI n)) (* (* (log n) (* 1/2 k)) (sqrt (* PI n)))) (* (* (sqrt (* PI n)) 1/8) (* (* k (log n)) (* k (log n))))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196458.329 * * * * [misc]progress: [ 179 / 180 ] simplifiying candidate # 1540196458.329 * [enter]simplify: Simplifying (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (sqrt PI)) 1540196458.329 * * [misc]simplify: iters left: 6 (15 enodes) 1540196458.335 * * [misc]simplify: iters left: 5 (32 enodes) 1540196458.346 * * [misc]simplify: iters left: 4 (71 enodes) 1540196458.372 * * [misc]simplify: iters left: 3 (182 enodes) 1540196458.453 * * [misc]simplify: iters left: 2 (437 enodes) 1540196458.807 * [exit]simplify: Simplified to (/ (sqrt PI) (pow (pow n -1/2) (- 1 k))) 1540196458.807 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (pow (pow n -1/2) (- 1 k))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196458.807 * * * * [misc]progress: [ 180 / 180 ] simplifiying candidate # 1540196458.807 * [enter]simplify: Simplifying (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (sqrt PI)) 1540196458.807 * * [misc]simplify: iters left: 6 (15 enodes) 1540196458.810 * * [misc]simplify: iters left: 5 (26 enodes) 1540196458.814 * * [misc]simplify: iters left: 4 (56 enodes) 1540196458.829 * * [misc]simplify: iters left: 3 (145 enodes) 1540196458.886 * * [misc]simplify: iters left: 2 (430 enodes) 1540196459.278 * [exit]simplify: Simplified to (* (pow n (* k -1/2)) (* (sqrt n) (sqrt PI))) 1540196459.278 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (* k -1/2)) (* (sqrt n) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196459.278 * * * [misc]progress: adding candidates to table 1540196462.042 * * [misc]progress: iteration 4 / 4 1540196462.042 * * * [misc]progress: picking best candidate 1540196462.065 * * * * [misc]pick: Picked # 1540196462.065 * * * [misc]progress: localizing error 1540196462.094 * * * [misc]progress: generating rewritten candidates 1540196462.094 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) 1540196462.098 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1540196462.110 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1540196462.137 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1540196462.693 * * * [misc]progress: generating series expansions 1540196462.693 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) 1540196462.693 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1540196462.693 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1540196462.693 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540196462.693 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540196462.693 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540196462.693 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196462.693 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.693 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196462.693 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.693 * [misc]taylor: Taking taylor expansion of k in k 1540196462.693 * [misc]backup-simplify: Simplify 0 into 0 1540196462.693 * [misc]backup-simplify: Simplify 1 into 1 1540196462.693 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196462.693 * [misc]taylor: Taking taylor expansion of PI in k 1540196462.693 * [misc]backup-simplify: Simplify PI into PI 1540196462.694 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.694 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196462.694 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.695 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196462.695 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196462.696 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540196462.696 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540196462.696 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540196462.696 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540196462.696 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196462.696 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.696 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196462.696 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.696 * [misc]taylor: Taking taylor expansion of k in k 1540196462.696 * [misc]backup-simplify: Simplify 0 into 0 1540196462.696 * [misc]backup-simplify: Simplify 1 into 1 1540196462.696 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196462.696 * [misc]taylor: Taking taylor expansion of PI in k 1540196462.696 * [misc]backup-simplify: Simplify PI into PI 1540196462.696 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.697 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196462.697 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.697 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196462.697 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196462.698 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540196462.699 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1540196462.701 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196462.701 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196462.702 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196462.702 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196462.703 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540196462.706 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540196462.707 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1540196462.711 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540196462.712 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196462.712 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.712 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196462.714 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540196462.718 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540196462.720 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540196462.723 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1540196462.723 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196462.723 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1540196462.723 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196462.723 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540196462.723 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540196462.723 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196462.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.723 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196462.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.723 * [misc]taylor: Taking taylor expansion of k in k 1540196462.723 * [misc]backup-simplify: Simplify 0 into 0 1540196462.723 * [misc]backup-simplify: Simplify 1 into 1 1540196462.724 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.724 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196462.724 * [misc]taylor: Taking taylor expansion of PI in k 1540196462.724 * [misc]backup-simplify: Simplify PI into PI 1540196462.724 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.724 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196462.724 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196462.725 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196462.725 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540196462.725 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196462.725 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196462.725 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540196462.725 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540196462.726 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196462.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.726 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196462.726 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.726 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.726 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.726 * [misc]taylor: Taking taylor expansion of k in k 1540196462.726 * [misc]backup-simplify: Simplify 0 into 0 1540196462.726 * [misc]backup-simplify: Simplify 1 into 1 1540196462.726 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.726 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196462.726 * [misc]taylor: Taking taylor expansion of PI in k 1540196462.726 * [misc]backup-simplify: Simplify PI into PI 1540196462.726 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.726 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196462.727 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196462.727 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196462.727 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540196462.728 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196462.728 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196462.728 * [misc]backup-simplify: Simplify 0 into 0 1540196462.728 * [misc]backup-simplify: Simplify 0 into 0 1540196462.728 * [misc]backup-simplify: Simplify 0 into 0 1540196462.728 * [misc]backup-simplify: Simplify 0 into 0 1540196462.728 * [misc]backup-simplify: Simplify 0 into 0 1540196462.728 * [misc]backup-simplify: Simplify 0 into 0 1540196462.728 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1540196462.728 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196462.729 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1540196462.729 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196462.729 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540196462.729 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540196462.729 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196462.729 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196462.729 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.729 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.729 * [misc]taylor: Taking taylor expansion of k in k 1540196462.729 * [misc]backup-simplify: Simplify 0 into 0 1540196462.729 * [misc]backup-simplify: Simplify 1 into 1 1540196462.729 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.729 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.729 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196462.729 * [misc]taylor: Taking taylor expansion of PI in k 1540196462.729 * [misc]backup-simplify: Simplify PI into PI 1540196462.730 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.730 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196462.730 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196462.730 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196462.731 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196462.731 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196462.731 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540196462.731 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540196462.731 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196462.731 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196462.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.731 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.731 * [misc]taylor: Taking taylor expansion of k in k 1540196462.731 * [misc]backup-simplify: Simplify 0 into 0 1540196462.731 * [misc]backup-simplify: Simplify 1 into 1 1540196462.731 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.731 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196462.731 * [misc]taylor: Taking taylor expansion of PI in k 1540196462.731 * [misc]backup-simplify: Simplify PI into PI 1540196462.732 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.732 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196462.732 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196462.733 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196462.733 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196462.733 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196462.733 * [misc]backup-simplify: Simplify 0 into 0 1540196462.733 * [misc]backup-simplify: Simplify 0 into 0 1540196462.733 * [misc]backup-simplify: Simplify 0 into 0 1540196462.733 * [misc]backup-simplify: Simplify 0 into 0 1540196462.733 * [misc]backup-simplify: Simplify 0 into 0 1540196462.733 * [misc]backup-simplify: Simplify 0 into 0 1540196462.734 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1540196462.734 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1540196462.734 * [misc]backup-simplify: Simplify (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) into (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (pow k 1/4)) 1540196462.734 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (pow k 1/4)) in (k) around 0 1540196462.734 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (pow k 1/4)) in k 1540196462.734 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1540196462.734 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540196462.734 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540196462.734 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540196462.734 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196462.734 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.734 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.734 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196462.734 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.734 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.734 * [misc]taylor: Taking taylor expansion of k in k 1540196462.734 * [misc]backup-simplify: Simplify 0 into 0 1540196462.734 * [misc]backup-simplify: Simplify 1 into 1 1540196462.734 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196462.734 * [misc]taylor: Taking taylor expansion of 2 in k 1540196462.734 * [misc]backup-simplify: Simplify 2 into 2 1540196462.735 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196462.735 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196462.735 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.735 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196462.735 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196462.736 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540196462.737 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1540196462.737 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1540196462.737 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1540196462.737 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1540196462.737 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540196462.737 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.737 * [misc]taylor: Taking taylor expansion of (log k) in k 1540196462.737 * [misc]taylor: Taking taylor expansion of k in k 1540196462.737 * [misc]backup-simplify: Simplify 0 into 0 1540196462.737 * [misc]backup-simplify: Simplify 1 into 1 1540196462.737 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.737 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540196462.737 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1540196462.737 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1540196462.738 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) (pow k 1/4)) in k 1540196462.738 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 k)))) in k 1540196462.738 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540196462.738 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540196462.738 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540196462.738 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196462.738 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.738 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196462.738 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.738 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.738 * [misc]taylor: Taking taylor expansion of k in k 1540196462.738 * [misc]backup-simplify: Simplify 0 into 0 1540196462.738 * [misc]backup-simplify: Simplify 1 into 1 1540196462.738 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196462.738 * [misc]taylor: Taking taylor expansion of 2 in k 1540196462.738 * [misc]backup-simplify: Simplify 2 into 2 1540196462.738 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196462.738 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196462.739 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.739 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196462.739 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196462.740 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540196462.740 * [misc]backup-simplify: Simplify (/ 1 (pow 2 1/2)) into (sqrt (/ 1 2)) 1540196462.740 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1540196462.740 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1540196462.740 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1540196462.740 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540196462.740 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.740 * [misc]taylor: Taking taylor expansion of (log k) in k 1540196462.740 * [misc]taylor: Taking taylor expansion of k in k 1540196462.740 * [misc]backup-simplify: Simplify 0 into 0 1540196462.740 * [misc]backup-simplify: Simplify 1 into 1 1540196462.741 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.741 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540196462.741 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1540196462.741 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1540196462.741 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 2)) (pow k 1/4)) into (* (sqrt 1/2) (pow k 1/4)) 1540196462.742 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (pow k 1/4)) into (* (sqrt 1/2) (pow k 1/4)) 1540196462.744 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540196462.744 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540196462.744 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1540196462.745 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196462.746 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196462.746 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196462.746 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196462.746 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196462.747 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1540196462.748 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1540196462.750 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) 1540196462.751 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) 0) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (pow k 1/4))) into (* 1/2 (* (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2))) (pow k 1/4))) 1540196462.752 * [misc]backup-simplify: Simplify (* 1/2 (* (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2))) (pow k 1/4))) into (* 1/2 (* (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2))) (pow k 1/4))) 1540196462.754 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540196462.755 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540196462.755 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1540196462.756 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196462.758 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540196462.759 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196462.759 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.759 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196462.759 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1540196462.761 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1540196462.766 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 2)) (/ (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow 2 1/2))) (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (/ (* -1/2 (* (log 2) (sqrt 2))) (pow 2 1/2))))) into (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) 1540196462.773 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 2)) 0) (+ (* (* 1/2 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) 0) (* (- (* 1/4 (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3)))) (* 1/8 (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))))) (pow k 1/4)))) into (- (* 1/4 (* (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))) (pow k 1/4))) (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))) (pow k 1/4)))) 1540196462.777 * [misc]backup-simplify: Simplify (- (* 1/4 (* (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))) (pow k 1/4))) (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))) (pow k 1/4)))) into (- (* 1/4 (* (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))) (pow k 1/4))) (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))) (pow k 1/4)))) 1540196462.783 * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (* (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))) (pow k 1/4))) (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))) (pow k 1/4)))) (pow k 2)) (+ (* (* 1/2 (* (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2))) (pow k 1/4))) k) (* (sqrt 1/2) (pow k 1/4)))) into (- (+ (* 1/2 (* (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2))) (pow (pow k 5) 1/4))) (+ (* 1/4 (* (* (pow (log 2) 2) (* (pow (sqrt 2) 2) (pow (sqrt 1/2) 3))) (pow (pow k 9) 1/4))) (* (sqrt 1/2) (pow k 1/4)))) (* 1/8 (* (* (pow (log 2) 2) (* (sqrt 2) (pow (sqrt 1/2) 2))) (pow (pow k 9) 1/4)))) 1540196462.783 * [misc]backup-simplify: Simplify (/ (sqrt (sqrt (/ 1 k))) (pow 2 (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ 1 k) 1/4)) 1540196462.783 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ 1 k) 1/4)) in (k) around 0 1540196462.783 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ 1 k) 1/4)) in k 1540196462.783 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196462.783 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196462.783 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540196462.784 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540196462.784 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196462.784 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.784 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196462.784 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.784 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.784 * [misc]taylor: Taking taylor expansion of k in k 1540196462.784 * [misc]backup-simplify: Simplify 0 into 0 1540196462.784 * [misc]backup-simplify: Simplify 1 into 1 1540196462.784 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.784 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196462.784 * [misc]taylor: Taking taylor expansion of 2 in k 1540196462.784 * [misc]backup-simplify: Simplify 2 into 2 1540196462.784 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196462.784 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196462.785 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196462.785 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196462.785 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540196462.785 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196462.786 * [misc]backup-simplify: Simplify (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1540196462.786 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1540196462.786 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1540196462.786 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1540196462.786 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540196462.786 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.786 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1540196462.786 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.786 * [misc]taylor: Taking taylor expansion of k in k 1540196462.786 * [misc]backup-simplify: Simplify 0 into 0 1540196462.786 * [misc]backup-simplify: Simplify 1 into 1 1540196462.786 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.786 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.786 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540196462.786 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1540196462.787 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1540196462.787 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) (pow (/ 1 k) 1/4)) in k 1540196462.787 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196462.787 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196462.787 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540196462.787 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540196462.787 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196462.787 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.787 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196462.787 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.787 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.787 * [misc]taylor: Taking taylor expansion of k in k 1540196462.787 * [misc]backup-simplify: Simplify 0 into 0 1540196462.787 * [misc]backup-simplify: Simplify 1 into 1 1540196462.787 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.787 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196462.787 * [misc]taylor: Taking taylor expansion of 2 in k 1540196462.787 * [misc]backup-simplify: Simplify 2 into 2 1540196462.787 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196462.788 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196462.788 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196462.788 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196462.788 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540196462.788 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196462.789 * [misc]backup-simplify: Simplify (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 1540196462.789 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1540196462.789 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1540196462.789 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1540196462.789 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540196462.789 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.789 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1540196462.789 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.789 * [misc]taylor: Taking taylor expansion of k in k 1540196462.789 * [misc]backup-simplify: Simplify 0 into 0 1540196462.789 * [misc]backup-simplify: Simplify 1 into 1 1540196462.789 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.789 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.790 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540196462.790 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1540196462.790 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1540196462.790 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (pow k -1/4)) into (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (pow (/ 1 k) 1/4)) 1540196462.791 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (pow (/ 1 k) 1/4)) into (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (pow (/ 1 k) 1/4)) 1540196462.791 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540196462.792 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540196462.793 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540196462.793 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1540196462.793 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196462.794 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1540196462.794 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) (* 0 (pow k -1/4))) into 0 1540196462.794 * [misc]backup-simplify: Simplify 0 into 0 1540196462.794 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196462.797 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540196462.797 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540196462.797 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1540196462.802 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196462.803 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1540196462.803 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 1540196462.803 * [misc]backup-simplify: Simplify 0 into 0 1540196462.804 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196462.808 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1540196462.808 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540196462.808 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 1540196462.810 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540196462.811 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1540196462.811 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 1540196462.811 * [misc]backup-simplify: Simplify 0 into 0 1540196462.812 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196462.818 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1540196462.818 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540196462.819 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 1540196462.822 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log 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 1540196462.823 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1540196462.823 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))) into 0 1540196462.823 * [misc]backup-simplify: Simplify 0 into 0 1540196462.824 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196462.834 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1540196462.834 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540196462.834 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 1540196462.839 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log 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 1540196462.840 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1540196462.841 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))))) into 0 1540196462.841 * [misc]backup-simplify: Simplify 0 into 0 1540196462.841 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196462.856 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1540196462.857 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540196462.857 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 1540196462.865 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log 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 1540196462.866 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1540196462.867 * [misc]backup-simplify: Simplify (+ (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4)))))))) into 0 1540196462.867 * [misc]backup-simplify: Simplify 0 into 0 1540196462.867 * [misc]backup-simplify: Simplify (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (pow (/ 1 (/ 1 k)) 1/4)) into (* (/ 1 (exp (* (log 2) (- 1/2 (* 1/2 k))))) (pow k 1/4)) 1540196462.867 * [misc]backup-simplify: Simplify (/ (sqrt (sqrt (/ 1 (- k)))) (pow 2 (- 1/2 (/ (/ 1 (- k)) 2)))) into (* (sqrt (sqrt (/ -1 k))) (/ 1 (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196462.867 * [misc]approximate: Taking taylor expansion of (* (sqrt (sqrt (/ -1 k))) (/ 1 (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) in (k) around 0 1540196462.867 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ -1 k))) (/ 1 (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1540196462.867 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1540196462.867 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196462.867 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196462.867 * [misc]taylor: Taking taylor expansion of -1 in k 1540196462.867 * [misc]backup-simplify: Simplify -1 into -1 1540196462.867 * [misc]taylor: Taking taylor expansion of k in k 1540196462.867 * [misc]backup-simplify: Simplify 0 into 0 1540196462.867 * [misc]backup-simplify: Simplify 1 into 1 1540196462.867 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196462.868 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196462.868 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196462.868 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540196462.868 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196462.869 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196462.869 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1540196462.869 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196462.869 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196462.869 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540196462.869 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540196462.869 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196462.869 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196462.869 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.869 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.869 * [misc]taylor: Taking taylor expansion of k in k 1540196462.869 * [misc]backup-simplify: Simplify 0 into 0 1540196462.869 * [misc]backup-simplify: Simplify 1 into 1 1540196462.870 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.870 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.870 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196462.870 * [misc]taylor: Taking taylor expansion of 2 in k 1540196462.870 * [misc]backup-simplify: Simplify 2 into 2 1540196462.870 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196462.870 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196462.870 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196462.870 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196462.870 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196462.871 * [misc]backup-simplify: Simplify (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196462.871 * [misc]taylor: Taking taylor expansion of (* (sqrt (sqrt (/ -1 k))) (/ 1 (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1540196462.871 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1540196462.871 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196462.871 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196462.871 * [misc]taylor: Taking taylor expansion of -1 in k 1540196462.871 * [misc]backup-simplify: Simplify -1 into -1 1540196462.871 * [misc]taylor: Taking taylor expansion of k in k 1540196462.871 * [misc]backup-simplify: Simplify 0 into 0 1540196462.871 * [misc]backup-simplify: Simplify 1 into 1 1540196462.871 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196462.871 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196462.871 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196462.871 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540196462.872 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196462.873 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196462.873 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1540196462.874 * [misc]taylor: Taking taylor expansion of (/ 1 (pow 2 (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196462.874 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196462.874 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540196462.874 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540196462.874 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196462.874 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196462.874 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.874 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.874 * [misc]taylor: Taking taylor expansion of k in k 1540196462.874 * [misc]backup-simplify: Simplify 0 into 0 1540196462.874 * [misc]backup-simplify: Simplify 1 into 1 1540196462.874 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.874 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.874 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196462.874 * [misc]taylor: Taking taylor expansion of 2 in k 1540196462.874 * [misc]backup-simplify: Simplify 2 into 2 1540196462.874 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196462.874 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196462.875 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196462.875 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196462.875 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196462.876 * [misc]backup-simplify: Simplify (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196462.876 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) into (/ (sqrt +nan.0) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196462.877 * [misc]backup-simplify: Simplify (/ (sqrt +nan.0) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ (sqrt +nan.0) (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196462.877 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0 1540196462.878 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))))) 1540196462.879 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))))) into (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))))) 1540196462.879 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))) (* 0 (/ 0 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0 1540196462.880 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196462.881 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196462.883 * [misc]backup-simplify: Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1540196462.886 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (/ 1 (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3)))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))))))) 1540196462.888 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3)))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3)))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))))))) 1540196462.891 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (pow (sqrt +nan.0) 3)))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (sqrt +nan.0))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ 1 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (sqrt +nan.0))))) (/ 1 (- k))) (/ (sqrt +nan.0) (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (/ (sqrt +nan.0) (exp (* (log 2) (- 1/2 (* 1/2 k))))) (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (* (sqrt +nan.0) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (* (sqrt +nan.0) k)))) (- (* +nan.0 (/ 1 (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (* (pow (sqrt +nan.0) 3) (pow k 2)))))))))) 1540196462.891 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1540196462.891 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) into (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow (/ 1 k) 1/4)) 1540196462.891 * [misc]approximate: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow (/ 1 k) 1/4)) in (k n) around 0 1540196462.891 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow (/ 1 k) 1/4)) in n 1540196462.891 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1540196462.891 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1540196462.891 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1540196462.891 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1540196462.891 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196462.891 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.891 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196462.891 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.892 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.892 * [misc]taylor: Taking taylor expansion of k in n 1540196462.892 * [misc]backup-simplify: Simplify k into k 1540196462.892 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196462.892 * [misc]taylor: Taking taylor expansion of n in n 1540196462.892 * [misc]backup-simplify: Simplify 0 into 0 1540196462.892 * [misc]backup-simplify: Simplify 1 into 1 1540196462.892 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.892 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196462.892 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196462.892 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196462.892 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196462.892 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1540196462.893 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1540196462.893 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1540196462.893 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1540196462.893 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1540196462.893 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196462.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.893 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196462.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.893 * [misc]taylor: Taking taylor expansion of k in n 1540196462.893 * [misc]backup-simplify: Simplify k into k 1540196462.893 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196462.893 * [misc]taylor: Taking taylor expansion of PI in n 1540196462.893 * [misc]backup-simplify: Simplify PI into PI 1540196462.893 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.894 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196462.894 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196462.894 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196462.894 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1540196462.894 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1540196462.894 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540196462.895 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540196462.895 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540196462.895 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540196462.895 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.895 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540196462.895 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196462.895 * [misc]taylor: Taking taylor expansion of k in n 1540196462.895 * [misc]backup-simplify: Simplify k into k 1540196462.895 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196462.895 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540196462.895 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540196462.895 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540196462.895 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow (/ 1 k) 1/4)) in k 1540196462.895 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540196462.895 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540196462.895 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540196462.895 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540196462.895 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196462.895 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.895 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.895 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196462.895 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.895 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.895 * [misc]taylor: Taking taylor expansion of k in k 1540196462.895 * [misc]backup-simplify: Simplify 0 into 0 1540196462.895 * [misc]backup-simplify: Simplify 1 into 1 1540196462.896 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196462.896 * [misc]taylor: Taking taylor expansion of n in k 1540196462.896 * [misc]backup-simplify: Simplify n into n 1540196462.896 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196462.896 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196462.896 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.896 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196462.896 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540196462.896 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540196462.896 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540196462.896 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540196462.896 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540196462.896 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196462.896 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.896 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.896 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196462.897 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.897 * [misc]taylor: Taking taylor expansion of k in k 1540196462.897 * [misc]backup-simplify: Simplify 0 into 0 1540196462.897 * [misc]backup-simplify: Simplify 1 into 1 1540196462.897 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196462.897 * [misc]taylor: Taking taylor expansion of PI in k 1540196462.897 * [misc]backup-simplify: Simplify PI into PI 1540196462.897 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.897 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196462.897 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.897 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196462.898 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196462.899 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540196462.899 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1540196462.899 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1540196462.899 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1540196462.899 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540196462.899 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.899 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1540196462.899 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.899 * [misc]taylor: Taking taylor expansion of k in k 1540196462.899 * [misc]backup-simplify: Simplify 0 into 0 1540196462.899 * [misc]backup-simplify: Simplify 1 into 1 1540196462.899 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.899 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.900 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540196462.900 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1540196462.900 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1540196462.900 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (pow (/ 1 k) 1/4)) in k 1540196462.900 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540196462.900 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540196462.900 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540196462.900 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540196462.900 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196462.900 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.900 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.900 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196462.900 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.900 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.900 * [misc]taylor: Taking taylor expansion of k in k 1540196462.900 * [misc]backup-simplify: Simplify 0 into 0 1540196462.900 * [misc]backup-simplify: Simplify 1 into 1 1540196462.900 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196462.900 * [misc]taylor: Taking taylor expansion of n in k 1540196462.900 * [misc]backup-simplify: Simplify n into n 1540196462.900 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196462.900 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196462.901 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.901 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196462.901 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540196462.901 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540196462.901 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540196462.901 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540196462.901 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540196462.901 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196462.901 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.901 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196462.901 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.901 * [misc]taylor: Taking taylor expansion of k in k 1540196462.901 * [misc]backup-simplify: Simplify 0 into 0 1540196462.901 * [misc]backup-simplify: Simplify 1 into 1 1540196462.901 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196462.901 * [misc]taylor: Taking taylor expansion of PI in k 1540196462.901 * [misc]backup-simplify: Simplify PI into PI 1540196462.902 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.902 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196462.902 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.902 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196462.903 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196462.903 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540196462.903 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1540196462.903 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1540196462.903 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1540196462.903 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540196462.904 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.904 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1540196462.904 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.904 * [misc]taylor: Taking taylor expansion of k in k 1540196462.904 * [misc]backup-simplify: Simplify 0 into 0 1540196462.904 * [misc]backup-simplify: Simplify 1 into 1 1540196462.904 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.904 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.904 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540196462.904 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1540196462.904 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1540196462.905 * [misc]backup-simplify: Simplify (* (pow n 1/2) (pow PI 1/2)) into (sqrt (* n PI)) 1540196462.905 * [misc]backup-simplify: Simplify (* (sqrt (* n PI)) (pow k -1/4)) into (* (sqrt (* n PI)) (pow (/ 1 k) 1/4)) 1540196462.905 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (pow (/ 1 k) 1/4)) in n 1540196462.905 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196462.905 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196462.905 * [misc]taylor: Taking taylor expansion of n in n 1540196462.905 * [misc]backup-simplify: Simplify 0 into 0 1540196462.905 * [misc]backup-simplify: Simplify 1 into 1 1540196462.905 * [misc]taylor: Taking taylor expansion of PI in n 1540196462.905 * [misc]backup-simplify: Simplify PI into PI 1540196462.905 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196462.906 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196462.906 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196462.907 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196462.907 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540196462.907 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540196462.907 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540196462.907 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540196462.907 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.907 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540196462.907 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196462.907 * [misc]taylor: Taking taylor expansion of k in n 1540196462.907 * [misc]backup-simplify: Simplify k into k 1540196462.907 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196462.907 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540196462.907 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540196462.907 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540196462.909 * [misc]backup-simplify: Simplify (* 0 (pow (/ 1 k) 1/4)) into 0 1540196462.909 * [misc]backup-simplify: Simplify 0 into 0 1540196462.910 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540196462.912 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540196462.912 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540196462.912 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1540196462.913 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196462.916 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196462.916 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196462.916 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196462.916 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196462.917 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540196462.920 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540196462.921 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540196462.921 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196462.922 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196462.922 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196462.922 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1540196462.922 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1540196462.924 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt n) (log n))) (pow PI 1/2))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) 1540196462.925 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n PI)) 0) (* (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) (pow k -1/4))) into (- (+ (* 1/2 (* (sqrt (* n PI)) (* (log n) (pow (/ 1 k) 1/4)))) (* 1/2 (* (sqrt (* n PI)) (* (log PI) (pow (/ 1 k) 1/4)))))) 1540196462.925 * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sqrt (* n PI)) (* (log n) (pow (/ 1 k) 1/4)))) (* 1/2 (* (sqrt (* n PI)) (* (log PI) (pow (/ 1 k) 1/4)))))) in n 1540196462.925 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sqrt (* n PI)) (* (log n) (pow (/ 1 k) 1/4)))) (* 1/2 (* (sqrt (* n PI)) (* (log PI) (pow (/ 1 k) 1/4))))) in n 1540196462.925 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (* n PI)) (* (log n) (pow (/ 1 k) 1/4)))) in n 1540196462.925 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.925 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.925 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (log n) (pow (/ 1 k) 1/4))) in n 1540196462.925 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196462.925 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196462.925 * [misc]taylor: Taking taylor expansion of n in n 1540196462.925 * [misc]backup-simplify: Simplify 0 into 0 1540196462.925 * [misc]backup-simplify: Simplify 1 into 1 1540196462.926 * [misc]taylor: Taking taylor expansion of PI in n 1540196462.926 * [misc]backup-simplify: Simplify PI into PI 1540196462.926 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196462.926 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196462.927 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196462.927 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196462.927 * [misc]taylor: Taking taylor expansion of (* (log n) (pow (/ 1 k) 1/4)) in n 1540196462.927 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196462.927 * [misc]taylor: Taking taylor expansion of n in n 1540196462.927 * [misc]backup-simplify: Simplify 0 into 0 1540196462.927 * [misc]backup-simplify: Simplify 1 into 1 1540196462.927 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.927 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540196462.927 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540196462.927 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540196462.927 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540196462.927 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.927 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540196462.928 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196462.928 * [misc]taylor: Taking taylor expansion of k in n 1540196462.928 * [misc]backup-simplify: Simplify k into k 1540196462.928 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196462.928 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540196462.928 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540196462.928 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540196462.928 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (* n PI)) (* (log PI) (pow (/ 1 k) 1/4)))) in n 1540196462.928 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.928 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.928 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (log PI) (pow (/ 1 k) 1/4))) in n 1540196462.928 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196462.928 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196462.928 * [misc]taylor: Taking taylor expansion of n in n 1540196462.928 * [misc]backup-simplify: Simplify 0 into 0 1540196462.928 * [misc]backup-simplify: Simplify 1 into 1 1540196462.928 * [misc]taylor: Taking taylor expansion of PI in n 1540196462.928 * [misc]backup-simplify: Simplify PI into PI 1540196462.929 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196462.929 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196462.929 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196462.930 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196462.930 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow (/ 1 k) 1/4)) in n 1540196462.930 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196462.930 * [misc]taylor: Taking taylor expansion of PI in n 1540196462.930 * [misc]backup-simplify: Simplify PI into PI 1540196462.930 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.930 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540196462.930 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540196462.930 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540196462.930 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540196462.930 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.930 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540196462.930 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196462.930 * [misc]taylor: Taking taylor expansion of k in n 1540196462.930 * [misc]backup-simplify: Simplify k into k 1540196462.930 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196462.931 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540196462.931 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540196462.931 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540196462.931 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196462.931 * [misc]backup-simplify: Simplify (* (log n) (pow (/ 1 k) 1/4)) into (* (log n) (pow (/ 1 k) 1/4)) 1540196462.931 * [misc]backup-simplify: Simplify (* 0 (* (log n) (pow (/ 1 k) 1/4))) into 0 1540196462.932 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196462.932 * [misc]backup-simplify: Simplify (* (log PI) (pow (/ 1 k) 1/4)) into (* (log PI) (pow (/ 1 k) 1/4)) 1540196462.932 * [misc]backup-simplify: Simplify (* 0 (* (log PI) (pow (/ 1 k) 1/4))) into 0 1540196462.932 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196462.933 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196462.933 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.933 * [misc]backup-simplify: Simplify 0 into 0 1540196462.933 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196462.934 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 1540196462.934 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 1540196462.935 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196462.936 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (pow (/ 1 k) 1/4))) into (- (* +nan.0 (* PI (pow (/ 1 k) 1/4)))) 1540196462.936 * [misc]backup-simplify: Simplify (- (* +nan.0 (* PI (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (* PI (pow (/ 1 k) 1/4)))) 1540196462.936 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196462.940 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540196462.940 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1540196462.941 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1540196462.943 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196462.947 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540196462.947 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196462.947 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.948 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196462.949 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540196462.953 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540196462.954 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540196462.955 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196462.955 * [misc]backup-simplify: Simplify (- 0) into 0 1540196462.955 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196462.955 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1540196462.956 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1540196462.959 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt n) (log n))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2))))) 1540196462.961 * [misc]backup-simplify: Simplify (+ (* (sqrt (* n PI)) 0) (+ (* (- (+ (* 1/2 (* (sqrt (* n PI)) (log PI))) (* 1/2 (* (sqrt (* n PI)) (log n))))) 0) (* (+ (* 1/8 (* (sqrt (* n PI)) (pow (log n) 2))) (+ (* 1/4 (* (sqrt (* n PI)) (* (log PI) (log n)))) (* 1/8 (* (sqrt (* n PI)) (pow (log PI) 2))))) (pow k -1/4)))) into (+ (* 1/8 (* (sqrt (* n PI)) (* (pow (log PI) 2) (pow (/ 1 k) 1/4)))) (+ (* 1/4 (* (pow (/ 1 k) 1/4) (* (* (log PI) (log n)) (sqrt (* PI n))))) (* 1/8 (* (sqrt (* n PI)) (* (pow (log n) 2) (pow (/ 1 k) 1/4)))))) 1540196462.961 * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (sqrt (* n PI)) (* (pow (log PI) 2) (pow (/ 1 k) 1/4)))) (+ (* 1/4 (* (pow (/ 1 k) 1/4) (* (* (log PI) (log n)) (sqrt (* PI n))))) (* 1/8 (* (sqrt (* n PI)) (* (pow (log n) 2) (pow (/ 1 k) 1/4)))))) in n 1540196462.961 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (* n PI)) (* (pow (log PI) 2) (pow (/ 1 k) 1/4)))) in n 1540196462.961 * [misc]taylor: Taking taylor expansion of 1/8 in n 1540196462.961 * [misc]backup-simplify: Simplify 1/8 into 1/8 1540196462.961 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (pow (log PI) 2) (pow (/ 1 k) 1/4))) in n 1540196462.961 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196462.961 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196462.961 * [misc]taylor: Taking taylor expansion of n in n 1540196462.961 * [misc]backup-simplify: Simplify 0 into 0 1540196462.961 * [misc]backup-simplify: Simplify 1 into 1 1540196462.961 * [misc]taylor: Taking taylor expansion of PI in n 1540196462.961 * [misc]backup-simplify: Simplify PI into PI 1540196462.961 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196462.962 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196462.962 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196462.962 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196462.962 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) (pow (/ 1 k) 1/4)) in n 1540196462.962 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1540196462.962 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196462.962 * [misc]taylor: Taking taylor expansion of PI in n 1540196462.962 * [misc]backup-simplify: Simplify PI into PI 1540196462.962 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.962 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540196462.962 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540196462.963 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.963 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of k in n 1540196462.963 * [misc]backup-simplify: Simplify k into k 1540196462.963 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196462.963 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540196462.963 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540196462.963 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540196462.963 * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (pow (/ 1 k) 1/4) (* (* (log PI) (log n)) (sqrt (* PI n))))) (* 1/8 (* (sqrt (* n PI)) (* (pow (log n) 2) (pow (/ 1 k) 1/4))))) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of (* 1/4 (* (pow (/ 1 k) 1/4) (* (* (log PI) (log n)) (sqrt (* PI n))))) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540196462.963 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.963 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (* (log PI) (log n)) (sqrt (* PI n)))) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540196462.963 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.963 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of k in n 1540196462.963 * [misc]backup-simplify: Simplify k into k 1540196462.963 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196462.963 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540196462.963 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540196462.963 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540196462.963 * [misc]taylor: Taking taylor expansion of (* (* (log PI) (log n)) (sqrt (* PI n))) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196462.963 * [misc]taylor: Taking taylor expansion of PI in n 1540196462.963 * [misc]backup-simplify: Simplify PI into PI 1540196462.964 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.964 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196462.964 * [misc]taylor: Taking taylor expansion of n in n 1540196462.964 * [misc]backup-simplify: Simplify 0 into 0 1540196462.964 * [misc]backup-simplify: Simplify 1 into 1 1540196462.964 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.964 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540196462.964 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540196462.964 * [misc]taylor: Taking taylor expansion of PI in n 1540196462.964 * [misc]backup-simplify: Simplify PI into PI 1540196462.964 * [misc]taylor: Taking taylor expansion of n in n 1540196462.964 * [misc]backup-simplify: Simplify 0 into 0 1540196462.964 * [misc]backup-simplify: Simplify 1 into 1 1540196462.964 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196462.964 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196462.964 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196462.965 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196462.965 * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sqrt (* n PI)) (* (pow (log n) 2) (pow (/ 1 k) 1/4)))) in n 1540196462.965 * [misc]taylor: Taking taylor expansion of 1/8 in n 1540196462.965 * [misc]backup-simplify: Simplify 1/8 into 1/8 1540196462.965 * [misc]taylor: Taking taylor expansion of (* (sqrt (* n PI)) (* (pow (log n) 2) (pow (/ 1 k) 1/4))) in n 1540196462.965 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196462.965 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196462.965 * [misc]taylor: Taking taylor expansion of n in n 1540196462.965 * [misc]backup-simplify: Simplify 0 into 0 1540196462.965 * [misc]backup-simplify: Simplify 1 into 1 1540196462.965 * [misc]taylor: Taking taylor expansion of PI in n 1540196462.965 * [misc]backup-simplify: Simplify PI into PI 1540196462.965 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196462.965 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196462.966 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196462.966 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196462.966 * [misc]taylor: Taking taylor expansion of (* (pow (log n) 2) (pow (/ 1 k) 1/4)) in n 1540196462.966 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1540196462.966 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196462.966 * [misc]taylor: Taking taylor expansion of n in n 1540196462.966 * [misc]backup-simplify: Simplify 0 into 0 1540196462.966 * [misc]backup-simplify: Simplify 1 into 1 1540196462.966 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.966 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196462.966 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1540196462.966 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1540196462.966 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1540196462.966 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540196462.966 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.966 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1540196462.966 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196462.966 * [misc]taylor: Taking taylor expansion of k in n 1540196462.966 * [misc]backup-simplify: Simplify k into k 1540196462.966 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196462.966 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1540196462.967 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1540196462.967 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1540196462.967 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1540196462.967 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) (pow (/ 1 k) 1/4)) into (* (pow (log PI) 2) (pow (/ 1 k) 1/4)) 1540196462.968 * [misc]backup-simplify: Simplify (* 0 (* (pow (log PI) 2) (pow (/ 1 k) 1/4))) into 0 1540196462.968 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1540196462.968 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196462.968 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1540196462.968 * [misc]backup-simplify: Simplify (* (* (log PI) (log n)) 0) into 0 1540196462.969 * [misc]backup-simplify: Simplify (* (pow (/ 1 k) 1/4) 0) into 0 1540196462.969 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 1540196462.969 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196462.969 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196462.969 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1540196462.969 * [misc]backup-simplify: Simplify (* (pow (log n) 2) (pow (/ 1 k) 1/4)) into (* (pow (log n) 2) (pow (/ 1 k) 1/4)) 1540196462.969 * [misc]backup-simplify: Simplify (* 0 (* (pow (log n) 2) (pow (/ 1 k) 1/4))) into 0 1540196462.969 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 1540196462.969 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196462.970 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196462.970 * [misc]backup-simplify: Simplify 0 into 0 1540196462.970 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196462.970 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196462.970 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 1540196462.970 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 1540196462.971 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196462.972 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540196462.973 * [misc]backup-simplify: Simplify (+ (* (log n) 0) (* 0 (pow (/ 1 k) 1/4))) into 0 1540196462.973 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (* (log n) (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (* (* PI (log n)) (pow (/ 1 k) 1/4)))) 1540196462.973 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (* PI (log n)) (pow (/ 1 k) 1/4))))) (* 0 0)) into (- (* +nan.0 (* (* PI (log n)) (pow (/ 1 k) 1/4)))) 1540196462.974 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196462.974 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 1540196462.974 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 1540196462.975 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196462.976 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196462.977 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (pow (/ 1 k) 1/4))) into 0 1540196462.977 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* +nan.0 PI) (* (log PI) (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (* (* (log PI) PI) (pow (/ 1 k) 1/4)))) 1540196462.978 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (* (* (log PI) PI) (pow (/ 1 k) 1/4))))) (* 0 0)) into (- (* +nan.0 (* (* (log PI) PI) (pow (/ 1 k) 1/4)))) 1540196462.978 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (* PI (log n)) (pow (/ 1 k) 1/4)))) (- (* +nan.0 (* (* (log PI) PI) (pow (/ 1 k) 1/4))))) into (- (+ (* +nan.0 (* (* (log PI) PI) (pow (/ 1 k) 1/4))) (- (* +nan.0 (* (* PI (log n)) (pow (/ 1 k) 1/4)))))) 1540196462.979 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (log PI) PI) (pow (/ 1 k) 1/4))) (- (* +nan.0 (* (* PI (log n)) (pow (/ 1 k) 1/4))))))) into (- (+ (* +nan.0 (* (* (log PI) PI) (pow (/ 1 k) 1/4))) (- (* +nan.0 (* (* PI (log n)) (pow (/ 1 k) 1/4)))))) 1540196462.980 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (* (log PI) PI) (pow (/ 1 k) 1/4))) (- (* +nan.0 (* (* PI (log n)) (pow (/ 1 k) 1/4)))))) into (- (+ (* +nan.0 (* (* (log PI) PI) (pow (/ 1 k) 1/4))) (- (* +nan.0 (* (* PI (log n)) (pow (/ 1 k) 1/4)))))) 1540196462.980 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196462.981 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 k) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 k) 1)))) 2) into 0 1540196462.981 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 k))))) into 0 1540196462.982 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196462.983 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540196462.984 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540196462.985 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 0) (* (* +nan.0 (pow PI 2)) (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (* (pow PI 2) (pow (/ 1 k) 1/4)))) 1540196462.985 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI 2) (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (* (pow PI 2) (pow (/ 1 k) 1/4)))) 1540196462.987 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI 2) (pow (/ 1 k) 1/4)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (log PI) PI) (pow (/ 1 k) 1/4))) (- (* +nan.0 (* (* PI (log n)) (pow (/ 1 k) 1/4)))))) (* n k)) (* (- (* +nan.0 (* PI (pow (/ 1 k) 1/4)))) (* n 1)))) into (- (+ (* +nan.0 (* (* n (* PI (log PI))) (pow (pow k 3) 1/4))) (- (+ (* +nan.0 (* (* n PI) (pow (/ 1 k) 1/4))) (- (+ (* +nan.0 (* (* n (* PI (log n))) (pow (pow k 3) 1/4))) (- (* +nan.0 (* (* (pow n 2) (pow PI 2)) (pow (/ 1 k) 1/4)))))))))) 1540196462.987 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (sqrt (/ 1 k))) (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) 1540196462.987 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) in (k n) around 0 1540196462.987 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) in n 1540196462.987 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196462.987 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196462.987 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540196462.987 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540196462.987 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196462.987 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.987 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196462.987 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.987 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196462.987 * [misc]taylor: Taking taylor expansion of k in n 1540196462.987 * [misc]backup-simplify: Simplify k into k 1540196462.987 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196462.987 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196462.987 * [misc]taylor: Taking taylor expansion of PI in n 1540196462.987 * [misc]backup-simplify: Simplify PI into PI 1540196462.988 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.988 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196462.988 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196462.988 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196462.988 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540196462.988 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196462.988 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196462.988 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540196462.988 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540196462.988 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196462.988 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.988 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196462.988 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.988 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196462.988 * [misc]taylor: Taking taylor expansion of k in n 1540196462.988 * [misc]backup-simplify: Simplify k into k 1540196462.988 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196462.988 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540196462.989 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196462.989 * [misc]taylor: Taking taylor expansion of n in n 1540196462.989 * [misc]backup-simplify: Simplify 0 into 0 1540196462.989 * [misc]backup-simplify: Simplify 1 into 1 1540196462.989 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.989 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.989 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196462.989 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196462.989 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196462.989 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196462.989 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540196462.989 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1540196462.989 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1540196462.989 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1540196462.989 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1540196462.989 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540196462.990 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.990 * [misc]taylor: Taking taylor expansion of (log k) in n 1540196462.990 * [misc]taylor: Taking taylor expansion of k in n 1540196462.990 * [misc]backup-simplify: Simplify k into k 1540196462.990 * [misc]backup-simplify: Simplify (log k) into (log k) 1540196462.990 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1540196462.990 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1540196462.990 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) in k 1540196462.990 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196462.990 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196462.990 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540196462.990 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540196462.990 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196462.990 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.990 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196462.990 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.990 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.990 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.990 * [misc]taylor: Taking taylor expansion of k in k 1540196462.990 * [misc]backup-simplify: Simplify 0 into 0 1540196462.990 * [misc]backup-simplify: Simplify 1 into 1 1540196462.990 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.990 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196462.990 * [misc]taylor: Taking taylor expansion of PI in k 1540196462.990 * [misc]backup-simplify: Simplify PI into PI 1540196462.990 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.990 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196462.990 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196462.991 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196462.991 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540196462.991 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196462.991 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196462.991 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1540196462.991 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1540196462.991 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196462.991 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.991 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196462.991 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.991 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.991 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.991 * [misc]taylor: Taking taylor expansion of k in k 1540196462.991 * [misc]backup-simplify: Simplify 0 into 0 1540196462.991 * [misc]backup-simplify: Simplify 1 into 1 1540196462.991 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.991 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1540196462.991 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1540196462.991 * [misc]taylor: Taking taylor expansion of n in k 1540196462.992 * [misc]backup-simplify: Simplify n into n 1540196462.992 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1540196462.992 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1540196462.992 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196462.992 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196462.992 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196462.992 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1540196462.992 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540196462.992 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1540196462.992 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1540196462.992 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1540196462.992 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540196462.992 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.992 * [misc]taylor: Taking taylor expansion of (log k) in k 1540196462.992 * [misc]taylor: Taking taylor expansion of k in k 1540196462.992 * [misc]backup-simplify: Simplify 0 into 0 1540196462.992 * [misc]backup-simplify: Simplify 1 into 1 1540196462.992 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.992 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540196462.993 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1540196462.993 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1540196462.993 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) in k 1540196462.993 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196462.993 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196462.993 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540196462.993 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540196462.993 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196462.993 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.993 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.993 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196462.993 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.993 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.993 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.993 * [misc]taylor: Taking taylor expansion of k in k 1540196462.993 * [misc]backup-simplify: Simplify 0 into 0 1540196462.993 * [misc]backup-simplify: Simplify 1 into 1 1540196462.993 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.993 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196462.993 * [misc]taylor: Taking taylor expansion of PI in k 1540196462.993 * [misc]backup-simplify: Simplify PI into PI 1540196462.993 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.993 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196462.993 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196462.993 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196462.994 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540196462.994 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196462.994 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196462.994 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1540196462.994 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1540196462.994 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196462.994 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.994 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196462.994 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196462.994 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.994 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196462.994 * [misc]taylor: Taking taylor expansion of k in k 1540196462.994 * [misc]backup-simplify: Simplify 0 into 0 1540196462.994 * [misc]backup-simplify: Simplify 1 into 1 1540196462.994 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.994 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1540196462.994 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1540196462.994 * [misc]taylor: Taking taylor expansion of n in k 1540196462.994 * [misc]backup-simplify: Simplify n into n 1540196462.994 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1540196462.994 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1540196462.995 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196462.995 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196462.995 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196462.995 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1540196462.995 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540196462.995 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1540196462.995 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1540196462.995 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1540196462.995 * [misc]taylor: Taking taylor expansion of 1/4 in k 1540196462.995 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196462.995 * [misc]taylor: Taking taylor expansion of (log k) in k 1540196462.995 * [misc]taylor: Taking taylor expansion of k in k 1540196462.995 * [misc]backup-simplify: Simplify 0 into 0 1540196462.995 * [misc]backup-simplify: Simplify 1 into 1 1540196462.995 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.995 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540196462.996 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1540196462.996 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1540196462.996 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540196462.996 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) 1540196462.996 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) in n 1540196462.996 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196462.996 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196462.996 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540196462.996 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540196462.997 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196462.997 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.997 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196462.997 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.997 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196462.997 * [misc]taylor: Taking taylor expansion of k in n 1540196462.997 * [misc]backup-simplify: Simplify k into k 1540196462.997 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196462.997 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196462.997 * [misc]taylor: Taking taylor expansion of PI in n 1540196462.997 * [misc]backup-simplify: Simplify PI into PI 1540196462.997 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196462.997 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196462.997 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196462.997 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196462.998 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540196462.998 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196462.998 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196462.998 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540196462.998 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540196462.998 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196462.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.998 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196462.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196462.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196462.998 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196462.999 * [misc]taylor: Taking taylor expansion of k in n 1540196462.999 * [misc]backup-simplify: Simplify k into k 1540196462.999 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196462.999 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540196462.999 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196462.999 * [misc]taylor: Taking taylor expansion of n in n 1540196462.999 * [misc]backup-simplify: Simplify 0 into 0 1540196462.999 * [misc]backup-simplify: Simplify 1 into 1 1540196462.999 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196462.999 * [misc]backup-simplify: Simplify (log 1) into 0 1540196462.999 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196462.999 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196462.999 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.000 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196463.000 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540196463.000 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1540196463.000 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1540196463.000 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1540196463.000 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1540196463.000 * [misc]taylor: Taking taylor expansion of 1/4 in n 1540196463.001 * [misc]backup-simplify: Simplify 1/4 into 1/4 1540196463.001 * [misc]taylor: Taking taylor expansion of (log k) in n 1540196463.001 * [misc]taylor: Taking taylor expansion of k in n 1540196463.001 * [misc]backup-simplify: Simplify k into k 1540196463.001 * [misc]backup-simplify: Simplify (log k) into (log k) 1540196463.001 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1540196463.001 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1540196463.001 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1540196463.001 * [misc]backup-simplify: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) into (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) 1540196463.002 * [misc]backup-simplify: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) into (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) (pow k 1/4)) 1540196463.004 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540196463.005 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540196463.005 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1540196463.006 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196463.006 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1540196463.006 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (pow k 1/4))) into 0 1540196463.007 * [misc]taylor: Taking taylor expansion of 0 in n 1540196463.007 * [misc]backup-simplify: Simplify 0 into 0 1540196463.007 * [misc]backup-simplify: Simplify 0 into 0 1540196463.007 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow k 1)))) 1) into 0 1540196463.008 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1540196463.009 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196463.009 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540196463.011 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540196463.011 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196463.011 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196463.012 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.012 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.012 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196463.012 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1540196463.013 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196463.016 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196463.016 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196463.016 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196463.016 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.016 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.017 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1540196463.018 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196463.019 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1540196463.019 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (pow k 1/4))) into 0 1540196463.019 * [misc]backup-simplify: Simplify 0 into 0 1540196463.023 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540196463.023 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540196463.024 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1540196463.025 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196463.025 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1540196463.026 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 1540196463.026 * [misc]taylor: Taking taylor expansion of 0 in n 1540196463.026 * [misc]backup-simplify: Simplify 0 into 0 1540196463.026 * [misc]backup-simplify: Simplify 0 into 0 1540196463.026 * [misc]backup-simplify: Simplify 0 into 0 1540196463.027 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow k 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow k 1)))) 2) into 0 1540196463.027 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1540196463.028 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196463.028 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196463.030 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1540196463.031 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196463.031 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196463.031 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.031 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.031 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196463.031 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0 1540196463.033 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196463.035 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540196463.035 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1540196463.036 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1540196463.036 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.036 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.036 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1540196463.038 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1540196463.038 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))))) into 0 1540196463.038 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 1540196463.038 * [misc]backup-simplify: Simplify 0 into 0 1540196463.044 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1540196463.044 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1540196463.044 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1540196463.046 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1540196463.046 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540196463.047 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 1540196463.047 * [misc]taylor: Taking taylor expansion of 0 in n 1540196463.047 * [misc]backup-simplify: Simplify 0 into 0 1540196463.047 * [misc]backup-simplify: Simplify 0 into 0 1540196463.047 * [misc]backup-simplify: Simplify (* (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow (/ 1 k) 1/4)) into (* (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow (/ 1 k) 1/4)) 1540196463.047 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (sqrt (/ 1 (- k)))) (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196463.047 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in (k n) around 0 1540196463.047 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196463.047 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of -1 in n 1540196463.048 * [misc]backup-simplify: Simplify -1 into -1 1540196463.048 * [misc]taylor: Taking taylor expansion of k in n 1540196463.048 * [misc]backup-simplify: Simplify k into k 1540196463.048 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540196463.048 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540196463.048 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540196463.048 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540196463.048 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ -1 k))) into (/ 1 (sqrt (/ -1 k))) 1540196463.048 * [misc]backup-simplify: Simplify (sqrt (/ 1 (sqrt (/ -1 k)))) into (sqrt (/ 1 (sqrt (/ -1 k)))) 1540196463.048 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0 1540196463.048 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (sqrt (/ -1 k)))))) into 0 1540196463.048 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.048 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of k in n 1540196463.048 * [misc]backup-simplify: Simplify k into k 1540196463.048 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.048 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.048 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.048 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196463.048 * [misc]taylor: Taking taylor expansion of -1 in n 1540196463.048 * [misc]backup-simplify: Simplify -1 into -1 1540196463.048 * [misc]taylor: Taking taylor expansion of n in n 1540196463.049 * [misc]backup-simplify: Simplify 0 into 0 1540196463.049 * [misc]backup-simplify: Simplify 1 into 1 1540196463.049 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.049 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196463.049 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.049 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.049 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196463.049 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196463.050 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196463.050 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.050 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196463.050 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196463.050 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.050 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.050 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.050 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.050 * [misc]taylor: Taking taylor expansion of k in n 1540196463.050 * [misc]backup-simplify: Simplify k into k 1540196463.050 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.050 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.050 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.050 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.050 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.050 * [misc]backup-simplify: Simplify PI into PI 1540196463.050 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.050 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.050 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.050 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196463.051 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.051 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1540196463.051 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1540196463.051 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1540196463.051 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196463.051 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196463.051 * [misc]taylor: Taking taylor expansion of -1 in k 1540196463.051 * [misc]backup-simplify: Simplify -1 into -1 1540196463.051 * [misc]taylor: Taking taylor expansion of k in k 1540196463.051 * [misc]backup-simplify: Simplify 0 into 0 1540196463.051 * [misc]backup-simplify: Simplify 1 into 1 1540196463.051 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.051 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.051 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196463.051 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1540196463.052 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540196463.052 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196463.052 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196463.053 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1540196463.053 * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1540196463.053 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196463.053 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196463.053 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1540196463.053 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1540196463.053 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196463.053 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.053 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.053 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.053 * [misc]taylor: Taking taylor expansion of k in k 1540196463.053 * [misc]backup-simplify: Simplify 0 into 0 1540196463.053 * [misc]backup-simplify: Simplify 1 into 1 1540196463.054 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.054 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1540196463.054 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1540196463.054 * [misc]taylor: Taking taylor expansion of -1 in k 1540196463.054 * [misc]backup-simplify: Simplify -1 into -1 1540196463.054 * [misc]taylor: Taking taylor expansion of n in k 1540196463.054 * [misc]backup-simplify: Simplify n into n 1540196463.054 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1540196463.054 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1540196463.054 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.054 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.054 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1540196463.054 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.054 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196463.054 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540196463.054 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540196463.054 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196463.054 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.054 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.054 * [misc]taylor: Taking taylor expansion of k in k 1540196463.054 * [misc]backup-simplify: Simplify 0 into 0 1540196463.054 * [misc]backup-simplify: Simplify 1 into 1 1540196463.054 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.054 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.054 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.054 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196463.055 * [misc]taylor: Taking taylor expansion of PI in k 1540196463.055 * [misc]backup-simplify: Simplify PI into PI 1540196463.055 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.055 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.055 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.055 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196463.055 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.055 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1540196463.055 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1540196463.056 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1540196463.056 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196463.056 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196463.056 * [misc]taylor: Taking taylor expansion of -1 in k 1540196463.056 * [misc]backup-simplify: Simplify -1 into -1 1540196463.056 * [misc]taylor: Taking taylor expansion of k in k 1540196463.056 * [misc]backup-simplify: Simplify 0 into 0 1540196463.056 * [misc]backup-simplify: Simplify 1 into 1 1540196463.056 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.056 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.056 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196463.056 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1540196463.056 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540196463.056 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196463.057 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196463.058 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1540196463.058 * [misc]backup-simplify: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1540196463.058 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196463.058 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196463.058 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1540196463.058 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1540196463.058 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196463.058 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.058 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.058 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.058 * [misc]taylor: Taking taylor expansion of k in k 1540196463.058 * [misc]backup-simplify: Simplify 0 into 0 1540196463.058 * [misc]backup-simplify: Simplify 1 into 1 1540196463.058 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.058 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.058 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.058 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1540196463.058 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1540196463.058 * [misc]taylor: Taking taylor expansion of -1 in k 1540196463.058 * [misc]backup-simplify: Simplify -1 into -1 1540196463.058 * [misc]taylor: Taking taylor expansion of n in k 1540196463.058 * [misc]backup-simplify: Simplify n into n 1540196463.058 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1540196463.059 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1540196463.059 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.059 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.059 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1540196463.059 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.059 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196463.059 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540196463.059 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540196463.059 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196463.059 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.059 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.059 * [misc]taylor: Taking taylor expansion of k in k 1540196463.059 * [misc]backup-simplify: Simplify 0 into 0 1540196463.059 * [misc]backup-simplify: Simplify 1 into 1 1540196463.059 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.059 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196463.059 * [misc]taylor: Taking taylor expansion of PI in k 1540196463.059 * [misc]backup-simplify: Simplify PI into PI 1540196463.059 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.060 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.060 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.060 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196463.060 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.060 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.061 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (sqrt +nan.0) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196463.061 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (sqrt +nan.0) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196463.061 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.061 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196463.061 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196463.061 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.061 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.061 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.061 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.061 * [misc]taylor: Taking taylor expansion of k in n 1540196463.061 * [misc]backup-simplify: Simplify k into k 1540196463.061 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.061 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.061 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.061 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196463.061 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196463.061 * [misc]taylor: Taking taylor expansion of -1 in n 1540196463.061 * [misc]backup-simplify: Simplify -1 into -1 1540196463.061 * [misc]taylor: Taking taylor expansion of n in n 1540196463.061 * [misc]backup-simplify: Simplify 0 into 0 1540196463.061 * [misc]backup-simplify: Simplify 1 into 1 1540196463.061 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.061 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196463.061 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.061 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.062 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196463.062 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196463.062 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196463.062 * [misc]taylor: Taking taylor expansion of (* (sqrt +nan.0) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.062 * [misc]taylor: Taking taylor expansion of (sqrt +nan.0) in n 1540196463.062 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.062 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.062 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540196463.062 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0 1540196463.062 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.062 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196463.062 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196463.062 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.063 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.063 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.063 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.063 * [misc]taylor: Taking taylor expansion of k in n 1540196463.063 * [misc]backup-simplify: Simplify k into k 1540196463.063 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.063 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.063 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.063 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.063 * [misc]backup-simplify: Simplify PI into PI 1540196463.063 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.063 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.063 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.063 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196463.063 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.064 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (sqrt +nan.0) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.064 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (sqrt +nan.0) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (sqrt +nan.0) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196463.064 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (* (sqrt +nan.0) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))))) 1540196463.065 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1540196463.065 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +nan.0)) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))) 1540196463.065 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))) in n 1540196463.065 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))) in n 1540196463.065 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.065 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.065 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)) in n 1540196463.065 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.065 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.065 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196463.065 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196463.065 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.065 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.065 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.065 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.065 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.065 * [misc]taylor: Taking taylor expansion of k in n 1540196463.065 * [misc]backup-simplify: Simplify k into k 1540196463.065 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.065 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.065 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.065 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196463.066 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196463.066 * [misc]taylor: Taking taylor expansion of -1 in n 1540196463.066 * [misc]backup-simplify: Simplify -1 into -1 1540196463.066 * [misc]taylor: Taking taylor expansion of n in n 1540196463.066 * [misc]backup-simplify: Simplify 0 into 0 1540196463.066 * [misc]backup-simplify: Simplify 1 into 1 1540196463.066 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.066 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196463.066 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.066 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.066 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196463.066 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196463.067 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196463.067 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.067 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196463.067 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196463.067 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.067 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.067 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.067 * [misc]taylor: Taking taylor expansion of k in n 1540196463.067 * [misc]backup-simplify: Simplify k into k 1540196463.067 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.067 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.067 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.067 * [misc]backup-simplify: Simplify PI into PI 1540196463.067 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.067 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.067 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.067 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196463.068 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.068 * [misc]taylor: Taking taylor expansion of (sqrt +nan.0) in n 1540196463.068 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.068 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.068 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540196463.068 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0 1540196463.068 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.069 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)) 1540196463.069 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))) into (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))) 1540196463.069 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))) into (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))) 1540196463.070 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))) into (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))) 1540196463.071 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196463.071 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196463.072 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196463.072 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.072 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1540196463.073 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196463.073 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1540196463.073 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196463.075 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1540196463.075 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196463.075 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196463.075 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.076 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196463.076 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1540196463.077 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196463.077 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (* (sqrt +nan.0) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1540196463.077 * [misc]backup-simplify: Simplify 0 into 0 1540196463.077 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1540196463.078 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196463.078 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196463.079 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1540196463.080 * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1540196463.082 * [misc]backup-simplify: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (+ (* +nan.0 (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))))) 1540196463.082 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))))) in n 1540196463.082 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))))) in n 1540196463.082 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3))) in n 1540196463.082 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.082 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.082 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3)) in n 1540196463.082 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.083 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.083 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196463.083 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196463.083 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.083 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.083 * [misc]taylor: Taking taylor expansion of k in n 1540196463.083 * [misc]backup-simplify: Simplify k into k 1540196463.083 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.083 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196463.083 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196463.083 * [misc]taylor: Taking taylor expansion of -1 in n 1540196463.083 * [misc]backup-simplify: Simplify -1 into -1 1540196463.083 * [misc]taylor: Taking taylor expansion of n in n 1540196463.083 * [misc]backup-simplify: Simplify 0 into 0 1540196463.083 * [misc]backup-simplify: Simplify 1 into 1 1540196463.083 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.083 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196463.083 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.083 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.083 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196463.084 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196463.084 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196463.084 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.084 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196463.084 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196463.084 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.084 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.084 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.084 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.084 * [misc]taylor: Taking taylor expansion of k in n 1540196463.084 * [misc]backup-simplify: Simplify k into k 1540196463.084 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.084 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.084 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.084 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.084 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.084 * [misc]backup-simplify: Simplify PI into PI 1540196463.084 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.084 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.084 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.085 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196463.085 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.085 * [misc]taylor: Taking taylor expansion of (pow (sqrt +nan.0) 3) in n 1540196463.085 * [misc]taylor: Taking taylor expansion of (sqrt +nan.0) in n 1540196463.085 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.085 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.085 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540196463.085 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0 1540196463.085 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.086 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (sqrt +nan.0)) into (pow (sqrt +nan.0) 2) 1540196463.086 * [misc]backup-simplify: Simplify (* (sqrt +nan.0) (pow (sqrt +nan.0) 2)) into (pow (sqrt +nan.0) 3) 1540196463.087 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3)) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3)) 1540196463.087 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))) in n 1540196463.087 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))) in n 1540196463.087 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.087 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.087 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)) in n 1540196463.087 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.087 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.087 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196463.087 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196463.087 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.087 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.087 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.087 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.087 * [misc]taylor: Taking taylor expansion of k in n 1540196463.087 * [misc]backup-simplify: Simplify k into k 1540196463.087 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.087 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.087 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196463.087 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196463.087 * [misc]taylor: Taking taylor expansion of -1 in n 1540196463.087 * [misc]backup-simplify: Simplify -1 into -1 1540196463.087 * [misc]taylor: Taking taylor expansion of n in n 1540196463.087 * [misc]backup-simplify: Simplify 0 into 0 1540196463.087 * [misc]backup-simplify: Simplify 1 into 1 1540196463.087 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.088 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196463.088 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.088 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.088 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196463.088 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196463.088 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196463.088 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.088 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196463.088 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196463.088 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.088 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.088 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.088 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.088 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.088 * [misc]taylor: Taking taylor expansion of k in n 1540196463.088 * [misc]backup-simplify: Simplify k into k 1540196463.089 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.089 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.089 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.089 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.089 * [misc]backup-simplify: Simplify PI into PI 1540196463.089 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.089 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.089 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.089 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196463.089 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.089 * [misc]taylor: Taking taylor expansion of (sqrt +nan.0) in n 1540196463.089 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.089 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.089 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1540196463.090 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0 1540196463.090 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.090 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)) 1540196463.091 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3))) into (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3))) 1540196463.091 * [misc]backup-simplify: Simplify (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))) into (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))) 1540196463.092 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))) into (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))) 1540196463.093 * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))))) 1540196463.094 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0))))))) into (- (+ (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))))) 1540196463.095 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt +nan.0)))))) 1540196463.098 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (sqrt +nan.0)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (sqrt +nan.0)))) (* 1 (/ 1 (- k)))) (* (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) (* (sqrt +nan.0) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))))))) into (- (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (sqrt +nan.0) (pow PI (- 1/2 (* 1/2 k))))) (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (* k (sqrt +nan.0)))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow k 2) (sqrt +nan.0)))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (* (pow k 2) (pow (sqrt +nan.0) 3))))))))) 1540196463.098 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1540196463.098 * [misc]backup-simplify: Simplify (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) into (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) 1540196463.098 * [misc]approximate: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in (k n) around 0 1540196463.098 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in n 1540196463.098 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1540196463.098 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in n 1540196463.098 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in n 1540196463.098 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in n 1540196463.098 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196463.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.098 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196463.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.098 * [misc]taylor: Taking taylor expansion of k in n 1540196463.098 * [misc]backup-simplify: Simplify k into k 1540196463.098 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196463.098 * [misc]taylor: Taking taylor expansion of n in n 1540196463.098 * [misc]backup-simplify: Simplify 0 into 0 1540196463.098 * [misc]backup-simplify: Simplify 1 into 1 1540196463.099 * [misc]backup-simplify: Simplify (log 1) into 0 1540196463.099 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196463.099 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196463.099 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196463.099 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196463.099 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log n)) into (* (- 1/2 (* 1/2 k)) (log n)) 1540196463.099 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log n))) into (pow n (- 1/2 (* 1/2 k))) 1540196463.099 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1540196463.099 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in n 1540196463.099 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in n 1540196463.099 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in n 1540196463.099 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196463.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.099 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196463.099 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.099 * [misc]taylor: Taking taylor expansion of k in n 1540196463.099 * [misc]backup-simplify: Simplify k into k 1540196463.099 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.099 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.099 * [misc]backup-simplify: Simplify 2 into 2 1540196463.099 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.099 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196463.099 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196463.100 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196463.100 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log 2)) into (* (log 2) (- 1/2 (* 1/2 k))) 1540196463.100 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 k)))) into (exp (* (log 2) (- 1/2 (* 1/2 k)))) 1540196463.100 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1540196463.100 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1540196463.100 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1540196463.100 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1540196463.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.100 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1540196463.100 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.100 * [misc]taylor: Taking taylor expansion of k in n 1540196463.100 * [misc]backup-simplify: Simplify k into k 1540196463.100 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.100 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.100 * [misc]backup-simplify: Simplify PI into PI 1540196463.100 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.100 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1540196463.100 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1540196463.101 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1540196463.101 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1540196463.101 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1540196463.101 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1540196463.101 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.101 * [misc]taylor: Taking taylor expansion of k in n 1540196463.101 * [misc]backup-simplify: Simplify k into k 1540196463.101 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.101 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1540196463.101 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196463.101 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1540196463.101 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in k 1540196463.101 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1540196463.101 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540196463.101 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540196463.101 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540196463.101 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196463.101 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.101 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.101 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196463.101 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.101 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.101 * [misc]taylor: Taking taylor expansion of k in k 1540196463.101 * [misc]backup-simplify: Simplify 0 into 0 1540196463.101 * [misc]backup-simplify: Simplify 1 into 1 1540196463.102 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196463.102 * [misc]taylor: Taking taylor expansion of n in k 1540196463.102 * [misc]backup-simplify: Simplify n into n 1540196463.102 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196463.102 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196463.102 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.102 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.102 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540196463.102 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540196463.102 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540196463.102 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540196463.102 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540196463.102 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540196463.102 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196463.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.102 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196463.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.102 * [misc]taylor: Taking taylor expansion of k in k 1540196463.102 * [misc]backup-simplify: Simplify 0 into 0 1540196463.102 * [misc]backup-simplify: Simplify 1 into 1 1540196463.102 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196463.102 * [misc]taylor: Taking taylor expansion of 2 in k 1540196463.102 * [misc]backup-simplify: Simplify 2 into 2 1540196463.102 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.102 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196463.103 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.103 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.103 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196463.103 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540196463.103 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540196463.103 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540196463.103 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540196463.103 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196463.103 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.103 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.103 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196463.103 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.103 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.103 * [misc]taylor: Taking taylor expansion of k in k 1540196463.103 * [misc]backup-simplify: Simplify 0 into 0 1540196463.103 * [misc]backup-simplify: Simplify 1 into 1 1540196463.103 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196463.103 * [misc]taylor: Taking taylor expansion of PI in k 1540196463.103 * [misc]backup-simplify: Simplify PI into PI 1540196463.104 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.104 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196463.104 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.104 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.104 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196463.105 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540196463.105 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540196463.105 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.105 * [misc]taylor: Taking taylor expansion of k in k 1540196463.105 * [misc]backup-simplify: Simplify 0 into 0 1540196463.105 * [misc]backup-simplify: Simplify 1 into 1 1540196463.105 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.105 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.105 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196463.105 * [misc]taylor: Taking taylor expansion of (* (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in k 1540196463.105 * [misc]taylor: Taking taylor expansion of (* (pow n (- 1/2 (* 1/2 k))) (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1540196463.105 * [misc]taylor: Taking taylor expansion of (pow n (- 1/2 (* 1/2 k))) in k 1540196463.105 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log n))) in k 1540196463.105 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log n)) in k 1540196463.105 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196463.105 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.105 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196463.105 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.105 * [misc]taylor: Taking taylor expansion of k in k 1540196463.105 * [misc]backup-simplify: Simplify 0 into 0 1540196463.106 * [misc]backup-simplify: Simplify 1 into 1 1540196463.106 * [misc]taylor: Taking taylor expansion of (log n) in k 1540196463.106 * [misc]taylor: Taking taylor expansion of n in k 1540196463.106 * [misc]backup-simplify: Simplify n into n 1540196463.106 * [misc]backup-simplify: Simplify (log n) into (log n) 1540196463.106 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196463.106 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.106 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.106 * [misc]backup-simplify: Simplify (* 1/2 (log n)) into (* 1/2 (log n)) 1540196463.106 * [misc]backup-simplify: Simplify (exp (* 1/2 (log n))) into (pow n 1/2) 1540196463.106 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1540196463.106 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 k))) in k 1540196463.106 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log 2))) in k 1540196463.106 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log 2)) in k 1540196463.106 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196463.106 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.106 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196463.106 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.106 * [misc]taylor: Taking taylor expansion of k in k 1540196463.106 * [misc]backup-simplify: Simplify 0 into 0 1540196463.106 * [misc]backup-simplify: Simplify 1 into 1 1540196463.106 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196463.106 * [misc]taylor: Taking taylor expansion of 2 in k 1540196463.106 * [misc]backup-simplify: Simplify 2 into 2 1540196463.106 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.106 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196463.107 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.107 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.107 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196463.107 * [misc]backup-simplify: Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2) 1540196463.107 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1540196463.107 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1540196463.107 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1540196463.107 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1540196463.107 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.107 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1540196463.107 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.107 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.107 * [misc]taylor: Taking taylor expansion of k in k 1540196463.107 * [misc]backup-simplify: Simplify 0 into 0 1540196463.107 * [misc]backup-simplify: Simplify 1 into 1 1540196463.107 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196463.107 * [misc]taylor: Taking taylor expansion of PI in k 1540196463.107 * [misc]backup-simplify: Simplify PI into PI 1540196463.108 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.108 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1540196463.108 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.108 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.108 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196463.109 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1540196463.109 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1540196463.109 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.109 * [misc]taylor: Taking taylor expansion of k in k 1540196463.109 * [misc]backup-simplify: Simplify 0 into 0 1540196463.109 * [misc]backup-simplify: Simplify 1 into 1 1540196463.109 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.109 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.109 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196463.110 * [misc]backup-simplify: Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2)) 1540196463.110 * [misc]backup-simplify: Simplify (* (pow n 1/2) (sqrt (* PI 2))) into (* (sqrt 2) (sqrt (* n PI))) 1540196463.110 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt (* n PI))) 0) into 0 1540196463.110 * [misc]taylor: Taking taylor expansion of 0 in n 1540196463.110 * [misc]backup-simplify: Simplify 0 into 0 1540196463.110 * [misc]backup-simplify: Simplify 0 into 0 1540196463.112 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196463.112 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196463.112 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196463.112 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196463.113 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1540196463.114 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1540196463.116 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196463.116 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196463.116 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196463.116 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196463.117 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2))) 1540196463.118 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2))) 1540196463.120 * [misc]backup-simplify: Simplify (+ (* (pow 2 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (log 2) (sqrt 2))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) 1540196463.121 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1540196463.121 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1540196463.121 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196463.121 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196463.121 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log n))) into (- (* 1/2 (log n))) 1540196463.121 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n))) 1540196463.124 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* -1/2 (* (sqrt n) (log n))) (sqrt (* PI 2)))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 1540196463.126 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1540196463.126 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1540196463.126 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540196463.126 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.126 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.126 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540196463.126 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.126 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.126 * [misc]backup-simplify: Simplify 2 into 2 1540196463.126 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.126 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.126 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196463.126 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196463.126 * [misc]taylor: Taking taylor expansion of n in n 1540196463.126 * [misc]backup-simplify: Simplify 0 into 0 1540196463.126 * [misc]backup-simplify: Simplify 1 into 1 1540196463.126 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.126 * [misc]backup-simplify: Simplify PI into PI 1540196463.127 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196463.127 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196463.127 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.127 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.127 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540196463.128 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.128 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.128 * [misc]backup-simplify: Simplify 0 into 0 1540196463.128 * [misc]backup-simplify: Simplify 0 into 0 1540196463.128 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540196463.129 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196463.131 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1540196463.131 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196463.131 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.131 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.132 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1540196463.135 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1540196463.137 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1540196463.137 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196463.137 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.138 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.138 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0 1540196463.140 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2))) 1540196463.145 * [misc]backup-simplify: Simplify (+ (* (pow 2 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) 1540196463.146 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1540196463.146 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1540196463.146 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.146 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.147 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log n)))) into 0 1540196463.147 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2))) 1540196463.155 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (sqrt (* PI 2))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 1540196463.160 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) 0))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) 1540196463.160 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))))) in n 1540196463.160 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))))) in n 1540196463.160 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1540196463.160 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.160 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.160 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1540196463.160 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1540196463.160 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.160 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.160 * [misc]backup-simplify: Simplify 2 into 2 1540196463.160 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.160 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.160 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.160 * [misc]backup-simplify: Simplify 2 into 2 1540196463.161 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.161 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.161 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196463.161 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196463.161 * [misc]taylor: Taking taylor expansion of n in n 1540196463.161 * [misc]backup-simplify: Simplify 0 into 0 1540196463.161 * [misc]backup-simplify: Simplify 1 into 1 1540196463.161 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.161 * [misc]backup-simplify: Simplify PI into PI 1540196463.161 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196463.161 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196463.162 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.162 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.162 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))))) in n 1540196463.162 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))))) in n 1540196463.162 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1540196463.162 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.162 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.162 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1540196463.162 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540196463.162 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.162 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.162 * [misc]backup-simplify: Simplify 2 into 2 1540196463.162 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.162 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.162 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.162 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.162 * [misc]backup-simplify: Simplify PI into PI 1540196463.162 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.162 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540196463.162 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540196463.162 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.163 * [misc]backup-simplify: Simplify PI into PI 1540196463.163 * [misc]taylor: Taking taylor expansion of n in n 1540196463.163 * [misc]backup-simplify: Simplify 0 into 0 1540196463.163 * [misc]backup-simplify: Simplify 1 into 1 1540196463.163 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196463.163 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196463.163 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.163 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.164 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) in n 1540196463.164 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))))) in n 1540196463.164 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540196463.164 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.164 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.164 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540196463.164 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.164 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.164 * [misc]backup-simplify: Simplify 2 into 2 1540196463.164 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.164 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.164 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196463.164 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196463.164 * [misc]taylor: Taking taylor expansion of n in n 1540196463.164 * [misc]backup-simplify: Simplify 0 into 0 1540196463.164 * [misc]backup-simplify: Simplify 1 into 1 1540196463.164 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.164 * [misc]backup-simplify: Simplify PI into PI 1540196463.164 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196463.165 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196463.165 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.165 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.165 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))) in n 1540196463.165 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1540196463.165 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.165 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.165 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1540196463.165 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1540196463.165 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.165 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.165 * [misc]backup-simplify: Simplify 2 into 2 1540196463.165 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.165 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.165 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196463.165 * [misc]taylor: Taking taylor expansion of n in n 1540196463.165 * [misc]backup-simplify: Simplify 0 into 0 1540196463.166 * [misc]backup-simplify: Simplify 1 into 1 1540196463.166 * [misc]backup-simplify: Simplify (log 1) into 0 1540196463.166 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196463.166 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196463.166 * [misc]taylor: Taking taylor expansion of n in n 1540196463.166 * [misc]backup-simplify: Simplify 0 into 0 1540196463.166 * [misc]backup-simplify: Simplify 1 into 1 1540196463.166 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.166 * [misc]backup-simplify: Simplify PI into PI 1540196463.166 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196463.166 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196463.166 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.167 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.167 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1540196463.167 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1540196463.167 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.168 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540196463.168 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1540196463.168 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.168 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540196463.168 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.169 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196463.169 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1540196463.169 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1540196463.169 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.169 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.169 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.169 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.169 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.170 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.170 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.170 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.170 * [misc]backup-simplify: Simplify 0 into 0 1540196463.170 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540196463.171 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540196463.172 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540196463.173 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1540196463.173 * [misc]backup-simplify: Simplify 0 into 0 1540196463.173 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196463.174 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196463.178 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1540196463.178 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540196463.178 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.179 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.180 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1540196463.183 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1540196463.187 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1540196463.188 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540196463.188 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.188 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.188 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0 1540196463.191 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2))) 1540196463.198 * [misc]backup-simplify: Simplify (+ (* (pow 2 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI))))))) 1540196463.200 * [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 1540196463.200 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1540196463.200 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.201 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.201 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log n))))) into 0 1540196463.202 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 3) 6)) (* (/ (pow (- (* 1/2 (log n))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt n) (pow (log n) 3))) 1540196463.218 * [misc]backup-simplify: Simplify (+ (* (pow n 1/2) (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI)))))))) (+ (* (* -1/2 (* (sqrt n) (log n))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))) (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))) (* (* -1/48 (* (sqrt n) (pow (log n) 3))) (sqrt (* PI 2)))))) into (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 1540196463.234 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt (* n PI))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log n)) (sqrt (* n PI))))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/8 (* (sqrt (* PI n)) (* (sqrt 2) (pow (log PI) 2)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (* 1/4 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))))))))) +nan.0) (* (- (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt (* n PI)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log n) 2))) (sqrt (* n PI)))) (+ (* 1/16 (* (* (sqrt 2) (* (log PI) (pow (log n) 2))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt (* PI n)))) (+ (* 1/48 (* (* (sqrt 2) (pow (log n) 3)) (sqrt (* n PI)))) (+ (* 1/8 (* (* (log 2) (* (sqrt 2) (* (log PI) (log n)))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (+ (* 1/16 (* (* (sqrt 2) (* (pow (log PI) 2) (log n))) (sqrt (* PI n)))) (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) 1540196463.234 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))))) in n 1540196463.235 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))))) in n 1540196463.235 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI)))) in n 1540196463.235 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.235 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.235 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log n) 2)) (sqrt (* n PI))) in n 1540196463.235 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log n) 2)) in n 1540196463.235 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.235 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.235 * [misc]backup-simplify: Simplify 2 into 2 1540196463.235 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.235 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.235 * [misc]taylor: Taking taylor expansion of (pow (log n) 2) in n 1540196463.235 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196463.235 * [misc]taylor: Taking taylor expansion of n in n 1540196463.235 * [misc]backup-simplify: Simplify 0 into 0 1540196463.235 * [misc]backup-simplify: Simplify 1 into 1 1540196463.235 * [misc]backup-simplify: Simplify (log 1) into 0 1540196463.235 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196463.235 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196463.235 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196463.235 * [misc]taylor: Taking taylor expansion of n in n 1540196463.236 * [misc]backup-simplify: Simplify 0 into 0 1540196463.236 * [misc]backup-simplify: Simplify 1 into 1 1540196463.236 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.236 * [misc]backup-simplify: Simplify PI into PI 1540196463.236 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196463.236 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196463.236 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.237 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.237 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))))) in n 1540196463.237 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))))) in n 1540196463.237 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1540196463.237 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.237 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.237 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1540196463.237 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1540196463.237 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.237 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.237 * [misc]backup-simplify: Simplify 2 into 2 1540196463.237 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.237 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.237 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1540196463.237 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.237 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.237 * [misc]backup-simplify: Simplify PI into PI 1540196463.237 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.237 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540196463.237 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540196463.237 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.237 * [misc]backup-simplify: Simplify PI into PI 1540196463.237 * [misc]taylor: Taking taylor expansion of n in n 1540196463.237 * [misc]backup-simplify: Simplify 0 into 0 1540196463.237 * [misc]backup-simplify: Simplify 1 into 1 1540196463.238 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196463.238 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196463.238 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.238 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.238 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))))) in n 1540196463.238 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))))) in n 1540196463.238 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI)))) in n 1540196463.239 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.239 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.239 * [misc]taylor: Taking taylor expansion of (* (* (pow (log 2) 2) (sqrt 2)) (sqrt (* n PI))) in n 1540196463.239 * [misc]taylor: Taking taylor expansion of (* (pow (log 2) 2) (sqrt 2)) in n 1540196463.239 * [misc]taylor: Taking taylor expansion of (pow (log 2) 2) in n 1540196463.239 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.239 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.239 * [misc]backup-simplify: Simplify 2 into 2 1540196463.239 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.239 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.239 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.239 * [misc]backup-simplify: Simplify 2 into 2 1540196463.239 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.239 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.239 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196463.239 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196463.239 * [misc]taylor: Taking taylor expansion of n in n 1540196463.239 * [misc]backup-simplify: Simplify 0 into 0 1540196463.239 * [misc]backup-simplify: Simplify 1 into 1 1540196463.239 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.239 * [misc]backup-simplify: Simplify PI into PI 1540196463.239 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196463.240 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196463.240 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.240 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.240 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))))) in n 1540196463.240 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))))) in n 1540196463.240 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1540196463.240 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.240 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.240 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1540196463.240 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.240 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.240 * [misc]backup-simplify: Simplify 2 into 2 1540196463.240 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.241 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.241 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196463.241 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196463.241 * [misc]taylor: Taking taylor expansion of n in n 1540196463.241 * [misc]backup-simplify: Simplify 0 into 0 1540196463.241 * [misc]backup-simplify: Simplify 1 into 1 1540196463.241 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.241 * [misc]backup-simplify: Simplify PI into PI 1540196463.241 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196463.241 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196463.241 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.242 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.242 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))))) in n 1540196463.242 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))))) in n 1540196463.242 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt (* n PI)))) in n 1540196463.242 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.242 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.242 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log n)) (sqrt (* n PI))) in n 1540196463.242 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1540196463.242 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.242 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.242 * [misc]backup-simplify: Simplify 2 into 2 1540196463.242 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.242 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.242 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196463.242 * [misc]taylor: Taking taylor expansion of n in n 1540196463.242 * [misc]backup-simplify: Simplify 0 into 0 1540196463.242 * [misc]backup-simplify: Simplify 1 into 1 1540196463.242 * [misc]backup-simplify: Simplify (log 1) into 0 1540196463.242 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196463.242 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196463.242 * [misc]taylor: Taking taylor expansion of n in n 1540196463.242 * [misc]backup-simplify: Simplify 0 into 0 1540196463.242 * [misc]backup-simplify: Simplify 1 into 1 1540196463.242 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.242 * [misc]backup-simplify: Simplify PI into PI 1540196463.243 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196463.243 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196463.243 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.243 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.243 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))))) in n 1540196463.243 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))))) in n 1540196463.243 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1540196463.243 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.243 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.243 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1540196463.243 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540196463.243 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.243 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.244 * [misc]backup-simplify: Simplify 2 into 2 1540196463.244 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.244 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.244 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.244 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.244 * [misc]backup-simplify: Simplify PI into PI 1540196463.244 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.244 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540196463.244 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540196463.244 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.244 * [misc]backup-simplify: Simplify PI into PI 1540196463.244 * [misc]taylor: Taking taylor expansion of n in n 1540196463.244 * [misc]backup-simplify: Simplify 0 into 0 1540196463.244 * [misc]backup-simplify: Simplify 1 into 1 1540196463.244 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196463.245 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196463.245 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.245 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.245 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))))) in n 1540196463.245 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))))) in n 1540196463.245 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n)))) in n 1540196463.245 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.245 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.245 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (log n))) (sqrt (* PI n))) in n 1540196463.245 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (log n))) in n 1540196463.245 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.245 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.245 * [misc]backup-simplify: Simplify 2 into 2 1540196463.245 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.245 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.245 * [misc]taylor: Taking taylor expansion of (* (log PI) (log n)) in n 1540196463.246 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.246 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.246 * [misc]backup-simplify: Simplify PI into PI 1540196463.246 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.246 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196463.246 * [misc]taylor: Taking taylor expansion of n in n 1540196463.246 * [misc]backup-simplify: Simplify 0 into 0 1540196463.246 * [misc]backup-simplify: Simplify 1 into 1 1540196463.246 * [misc]backup-simplify: Simplify (log 1) into 0 1540196463.246 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540196463.246 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540196463.246 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.246 * [misc]backup-simplify: Simplify PI into PI 1540196463.246 * [misc]taylor: Taking taylor expansion of n in n 1540196463.246 * [misc]backup-simplify: Simplify 0 into 0 1540196463.246 * [misc]backup-simplify: Simplify 1 into 1 1540196463.246 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196463.247 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196463.247 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.247 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.247 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))))) in n 1540196463.247 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))))) in n 1540196463.247 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI)))) in n 1540196463.247 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.247 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.247 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log n))) (sqrt (* n PI))) in n 1540196463.247 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log n))) in n 1540196463.247 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.247 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.247 * [misc]backup-simplify: Simplify 2 into 2 1540196463.247 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.247 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log n)) in n 1540196463.247 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.247 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.247 * [misc]backup-simplify: Simplify 2 into 2 1540196463.248 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.248 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.248 * [misc]taylor: Taking taylor expansion of (log n) in n 1540196463.248 * [misc]taylor: Taking taylor expansion of n in n 1540196463.248 * [misc]backup-simplify: Simplify 0 into 0 1540196463.248 * [misc]backup-simplify: Simplify 1 into 1 1540196463.248 * [misc]backup-simplify: Simplify (log 1) into 0 1540196463.248 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196463.248 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196463.248 * [misc]taylor: Taking taylor expansion of n in n 1540196463.248 * [misc]backup-simplify: Simplify 0 into 0 1540196463.248 * [misc]backup-simplify: Simplify 1 into 1 1540196463.248 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.248 * [misc]backup-simplify: Simplify PI into PI 1540196463.248 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196463.248 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196463.249 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.249 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.249 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))))) in n 1540196463.249 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))))) in n 1540196463.249 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n)))) in n 1540196463.249 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.249 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.249 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt (* PI n))) in n 1540196463.249 * [misc]taylor: Taking taylor expansion of (* (log 2) (* (sqrt 2) (log PI))) in n 1540196463.249 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.249 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.249 * [misc]backup-simplify: Simplify 2 into 2 1540196463.249 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.249 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1540196463.249 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.249 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.249 * [misc]backup-simplify: Simplify 2 into 2 1540196463.249 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.249 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.250 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.250 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.250 * [misc]backup-simplify: Simplify PI into PI 1540196463.250 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.250 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1540196463.250 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1540196463.250 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.250 * [misc]backup-simplify: Simplify PI into PI 1540196463.250 * [misc]taylor: Taking taylor expansion of n in n 1540196463.250 * [misc]backup-simplify: Simplify 0 into 0 1540196463.250 * [misc]backup-simplify: Simplify 1 into 1 1540196463.250 * [misc]backup-simplify: Simplify (* PI 0) into 0 1540196463.250 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1540196463.250 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.251 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.251 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI))))) in n 1540196463.251 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt (* n PI)))) in n 1540196463.251 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.251 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.251 * [misc]taylor: Taking taylor expansion of (* (* (log 2) (sqrt 2)) (sqrt (* n PI))) in n 1540196463.251 * [misc]taylor: Taking taylor expansion of (* (log 2) (sqrt 2)) in n 1540196463.251 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.251 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.251 * [misc]backup-simplify: Simplify 2 into 2 1540196463.251 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.251 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1540196463.251 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.251 * [misc]backup-simplify: Simplify 2 into 2 1540196463.251 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1540196463.251 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1540196463.251 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1540196463.251 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1540196463.251 * [misc]taylor: Taking taylor expansion of n in n 1540196463.251 * [misc]backup-simplify: Simplify 0 into 0 1540196463.251 * [misc]backup-simplify: Simplify 1 into 1 1540196463.251 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.251 * [misc]backup-simplify: Simplify PI into PI 1540196463.252 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1540196463.252 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1540196463.252 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.252 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1540196463.253 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196463.253 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196463.253 * [misc]backup-simplify: Simplify (* (log n) (log n)) into (pow (log n) 2) 1540196463.253 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log n) 2)) into (* (sqrt 2) (pow (log n) 2)) 1540196463.253 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log n) 2)) 0) into 0 1540196463.253 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.254 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1540196463.254 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1540196463.255 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1540196463.255 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.255 * [misc]backup-simplify: Simplify (* (log 2) (log 2)) into (pow (log 2) 2) 1540196463.256 * [misc]backup-simplify: Simplify (* (pow (log 2) 2) (sqrt 2)) into (* (pow (log 2) 2) (sqrt 2)) 1540196463.257 * [misc]backup-simplify: Simplify (* (* (pow (log 2) 2) (sqrt 2)) 0) into 0 1540196463.257 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.257 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1540196463.257 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.257 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196463.257 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1540196463.257 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log n)) 0) into 0 1540196463.257 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.258 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540196463.258 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1540196463.259 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.259 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196463.259 * [misc]backup-simplify: Simplify (* (log PI) (log n)) into (* (log PI) (log n)) 1540196463.259 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (log PI) (log n))) into (* (sqrt 2) (* (log PI) (log n))) 1540196463.259 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (log PI) (log n))) 0) into 0 1540196463.260 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.260 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196463.260 * [misc]backup-simplify: Simplify (* (sqrt 2) (log n)) into (* (sqrt 2) (log n)) 1540196463.260 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log n))) into (* (log 2) (* (sqrt 2) (log n))) 1540196463.260 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log n))) 0) into 0 1540196463.260 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.261 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1540196463.261 * [misc]backup-simplify: Simplify (* (log 2) (* (sqrt 2) (log PI))) into (* (log 2) (* (sqrt 2) (log PI))) 1540196463.262 * [misc]backup-simplify: Simplify (* (* (log 2) (* (sqrt 2) (log PI))) 0) into 0 1540196463.262 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.263 * [misc]backup-simplify: Simplify (* (log 2) (sqrt 2)) into (* (log 2) (sqrt 2)) 1540196463.263 * [misc]backup-simplify: Simplify (* (* (log 2) (sqrt 2)) 0) into 0 1540196463.263 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1540196463.263 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.263 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.263 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.263 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.263 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.264 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.264 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.264 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.264 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.264 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.264 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.265 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.265 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.265 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.265 * [misc]backup-simplify: Simplify 0 into 0 1540196463.266 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196463.267 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (sqrt 2))) into 0 1540196463.267 * [misc]backup-simplify: Simplify (+ (* (* (log 2) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1540196463.269 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) 1540196463.270 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196463.271 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1540196463.272 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1540196463.275 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1540196463.277 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540196463.278 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1540196463.281 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540196463.281 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) 0) into (log n) 1540196463.281 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log n))) into 0 1540196463.282 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log n)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1540196463.282 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1540196463.283 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (* +nan.0 (* (sqrt 2) (* PI (log n))))) 1540196463.284 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) (* PI (log n)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 1540196463.285 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))) 1540196463.288 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1540196463.292 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1540196463.298 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1540196463.304 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1540196463.311 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1540196463.313 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1540196463.314 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1540196463.315 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1540196463.318 * [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)))) 1540196463.322 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540196463.324 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540196463.325 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1540196463.336 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1540196463.336 * [misc]backup-simplify: Simplify (/ (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (sqrt (/ 1 k))) (pow (/ 1 n) (- 1/2 (/ (/ 1 k) 2))))) (/ (sqrt (sqrt (/ 1 k))) (pow 2 (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) 1540196463.336 * [misc]approximate: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in (k n) around 0 1540196463.336 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in n 1540196463.337 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540196463.337 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196463.337 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in n 1540196463.337 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in n 1540196463.337 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196463.337 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.337 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.337 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.337 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.337 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.337 * [misc]taylor: Taking taylor expansion of k in n 1540196463.337 * [misc]backup-simplify: Simplify k into k 1540196463.337 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.337 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.337 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.337 * [misc]backup-simplify: Simplify 2 into 2 1540196463.337 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.337 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.337 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196463.338 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.338 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1540196463.338 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196463.338 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196463.338 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196463.338 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540196463.338 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540196463.338 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196463.338 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.338 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.338 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.338 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.339 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.339 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.339 * [misc]taylor: Taking taylor expansion of k in n 1540196463.339 * [misc]backup-simplify: Simplify k into k 1540196463.339 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.339 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.339 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.339 * [misc]backup-simplify: Simplify PI into PI 1540196463.339 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.339 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.339 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196463.339 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.340 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540196463.340 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196463.340 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196463.340 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540196463.340 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540196463.340 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196463.340 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.340 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.340 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.341 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.341 * [misc]taylor: Taking taylor expansion of k in n 1540196463.341 * [misc]backup-simplify: Simplify k into k 1540196463.341 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.341 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540196463.341 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196463.341 * [misc]taylor: Taking taylor expansion of n in n 1540196463.341 * [misc]backup-simplify: Simplify 0 into 0 1540196463.341 * [misc]backup-simplify: Simplify 1 into 1 1540196463.341 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.341 * [misc]backup-simplify: Simplify (log 1) into 0 1540196463.341 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.341 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196463.341 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.342 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196463.342 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540196463.342 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1540196463.342 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1540196463.342 * [misc]taylor: Taking taylor expansion of k in n 1540196463.342 * [misc]backup-simplify: Simplify k into k 1540196463.342 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1540196463.342 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1540196463.342 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in k 1540196463.342 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1540196463.342 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196463.342 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540196463.343 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540196463.343 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196463.343 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.343 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.343 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.343 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.343 * [misc]taylor: Taking taylor expansion of k in k 1540196463.343 * [misc]backup-simplify: Simplify 0 into 0 1540196463.343 * [misc]backup-simplify: Simplify 1 into 1 1540196463.343 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.343 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196463.343 * [misc]taylor: Taking taylor expansion of 2 in k 1540196463.343 * [misc]backup-simplify: Simplify 2 into 2 1540196463.343 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.343 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.344 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196463.344 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196463.344 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540196463.344 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196463.344 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196463.344 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196463.345 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540196463.345 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540196463.345 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196463.345 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.345 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.345 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.345 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.345 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.345 * [misc]taylor: Taking taylor expansion of k in k 1540196463.345 * [misc]backup-simplify: Simplify 0 into 0 1540196463.345 * [misc]backup-simplify: Simplify 1 into 1 1540196463.345 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.345 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196463.345 * [misc]taylor: Taking taylor expansion of PI in k 1540196463.345 * [misc]backup-simplify: Simplify PI into PI 1540196463.345 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.346 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.346 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196463.346 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196463.346 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540196463.347 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196463.347 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196463.347 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1540196463.347 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1540196463.347 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196463.347 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.347 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.347 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.347 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.347 * [misc]taylor: Taking taylor expansion of k in k 1540196463.347 * [misc]backup-simplify: Simplify 0 into 0 1540196463.347 * [misc]backup-simplify: Simplify 1 into 1 1540196463.347 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.347 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1540196463.347 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1540196463.347 * [misc]taylor: Taking taylor expansion of n in k 1540196463.347 * [misc]backup-simplify: Simplify n into n 1540196463.348 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1540196463.348 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1540196463.348 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.348 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196463.348 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196463.348 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1540196463.348 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540196463.348 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540196463.348 * [misc]taylor: Taking taylor expansion of k in k 1540196463.348 * [misc]backup-simplify: Simplify 0 into 0 1540196463.349 * [misc]backup-simplify: Simplify 1 into 1 1540196463.349 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.349 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196463.349 * [misc]taylor: Taking taylor expansion of (* (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt k)) in k 1540196463.349 * [misc]taylor: Taking taylor expansion of (* (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1540196463.349 * [misc]taylor: Taking taylor expansion of (pow 2 (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196463.349 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) in k 1540196463.349 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log 2)) in k 1540196463.349 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196463.349 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.349 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.349 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.350 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.350 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.350 * [misc]taylor: Taking taylor expansion of k in k 1540196463.350 * [misc]backup-simplify: Simplify 0 into 0 1540196463.350 * [misc]backup-simplify: Simplify 1 into 1 1540196463.350 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.350 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196463.350 * [misc]taylor: Taking taylor expansion of 2 in k 1540196463.350 * [misc]backup-simplify: Simplify 2 into 2 1540196463.350 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.350 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.350 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196463.351 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196463.351 * [misc]backup-simplify: Simplify (* -1/2 (log 2)) into (* -1/2 (log 2)) 1540196463.351 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log 2))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196463.351 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1540196463.351 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196463.351 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1540196463.351 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1540196463.351 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196463.351 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.351 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.352 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.352 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.352 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.352 * [misc]taylor: Taking taylor expansion of k in k 1540196463.352 * [misc]backup-simplify: Simplify 0 into 0 1540196463.352 * [misc]backup-simplify: Simplify 1 into 1 1540196463.352 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.352 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196463.352 * [misc]taylor: Taking taylor expansion of PI in k 1540196463.352 * [misc]backup-simplify: Simplify PI into PI 1540196463.352 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.352 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.353 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196463.353 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196463.353 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1540196463.354 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196463.354 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1540196463.354 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in k 1540196463.354 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in k 1540196463.354 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1540196463.354 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.354 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.354 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.354 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.354 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.354 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.354 * [misc]taylor: Taking taylor expansion of k in k 1540196463.354 * [misc]backup-simplify: Simplify 0 into 0 1540196463.354 * [misc]backup-simplify: Simplify 1 into 1 1540196463.354 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.354 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in k 1540196463.354 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1540196463.354 * [misc]taylor: Taking taylor expansion of n in k 1540196463.354 * [misc]backup-simplify: Simplify n into n 1540196463.354 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1540196463.354 * [misc]backup-simplify: Simplify (log (/ 1 n)) into (log (/ 1 n)) 1540196463.355 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.355 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1540196463.355 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1540196463.355 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n))) 1540196463.355 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) into (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) 1540196463.355 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1540196463.355 * [misc]taylor: Taking taylor expansion of k in k 1540196463.355 * [misc]backup-simplify: Simplify 0 into 0 1540196463.355 * [misc]backup-simplify: Simplify 1 into 1 1540196463.356 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.356 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1540196463.356 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) 1540196463.357 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1540196463.358 * [misc]backup-simplify: Simplify (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1540196463.358 * [misc]taylor: Taking taylor expansion of 0 in n 1540196463.358 * [misc]backup-simplify: Simplify 0 into 0 1540196463.358 * [misc]backup-simplify: Simplify 0 into 0 1540196463.358 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1540196463.359 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1540196463.361 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196463.361 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1540196463.361 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540196463.361 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.361 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.361 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540196463.361 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196463.361 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196463.361 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.361 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.361 * [misc]backup-simplify: Simplify 2 into 2 1540196463.361 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.361 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196463.361 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.362 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.362 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.362 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.362 * [misc]taylor: Taking taylor expansion of k in n 1540196463.362 * [misc]backup-simplify: Simplify k into k 1540196463.362 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.362 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.362 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196463.362 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.362 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1540196463.363 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196463.363 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196463.363 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196463.363 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540196463.363 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540196463.363 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196463.363 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.363 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.363 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.363 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.363 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.363 * [misc]taylor: Taking taylor expansion of k in n 1540196463.363 * [misc]backup-simplify: Simplify k into k 1540196463.363 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.363 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.363 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.363 * [misc]backup-simplify: Simplify PI into PI 1540196463.364 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.364 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.364 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196463.364 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.364 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540196463.365 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196463.365 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196463.365 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540196463.365 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540196463.365 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196463.365 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.365 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.365 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.365 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.365 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.365 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.365 * [misc]taylor: Taking taylor expansion of k in n 1540196463.365 * [misc]backup-simplify: Simplify k into k 1540196463.365 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.365 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540196463.365 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196463.365 * [misc]taylor: Taking taylor expansion of n in n 1540196463.365 * [misc]backup-simplify: Simplify 0 into 0 1540196463.365 * [misc]backup-simplify: Simplify 1 into 1 1540196463.365 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.365 * [misc]backup-simplify: Simplify (log 1) into 0 1540196463.366 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.366 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196463.366 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.366 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196463.366 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540196463.366 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1540196463.367 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1540196463.367 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1540196463.368 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1540196463.369 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196463.369 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196463.370 * [misc]backup-simplify: Simplify 0 into 0 1540196463.371 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196463.371 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1540196463.372 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540196463.373 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196463.373 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1540196463.373 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540196463.373 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.373 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.373 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540196463.373 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196463.373 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196463.373 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.373 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.373 * [misc]backup-simplify: Simplify 2 into 2 1540196463.373 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.373 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196463.373 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.374 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.374 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.374 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.374 * [misc]taylor: Taking taylor expansion of k in n 1540196463.374 * [misc]backup-simplify: Simplify k into k 1540196463.374 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.374 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.374 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196463.374 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.374 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1540196463.375 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196463.375 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196463.375 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196463.375 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540196463.375 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540196463.375 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196463.375 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.375 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.375 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.375 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.375 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.375 * [misc]taylor: Taking taylor expansion of k in n 1540196463.375 * [misc]backup-simplify: Simplify k into k 1540196463.375 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.375 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.375 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.375 * [misc]backup-simplify: Simplify PI into PI 1540196463.375 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.376 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.376 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196463.376 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.376 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540196463.377 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196463.377 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196463.377 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540196463.377 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540196463.377 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196463.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.377 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.377 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.377 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.377 * [misc]taylor: Taking taylor expansion of k in n 1540196463.377 * [misc]backup-simplify: Simplify k into k 1540196463.377 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.377 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540196463.377 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196463.377 * [misc]taylor: Taking taylor expansion of n in n 1540196463.377 * [misc]backup-simplify: Simplify 0 into 0 1540196463.377 * [misc]backup-simplify: Simplify 1 into 1 1540196463.377 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.378 * [misc]backup-simplify: Simplify (log 1) into 0 1540196463.378 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.378 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196463.378 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.378 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196463.378 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540196463.379 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1540196463.379 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1540196463.380 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1540196463.380 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1540196463.381 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196463.382 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196463.382 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1540196463.385 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1540196463.385 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196463.385 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196463.385 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.385 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.386 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196463.386 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log n)))) into 0 1540196463.387 * [misc]backup-simplify: Simplify (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196463.390 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196463.390 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196463.390 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196463.390 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.391 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.391 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1540196463.393 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196463.393 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))))) into 0 1540196463.393 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196463.393 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196463.393 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.394 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.396 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196463.396 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (- 1/2 (* 1/2 (/ 1 k))))) into 0 1540196463.398 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196463.398 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1540196463.399 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540196463.399 * [misc]backup-simplify: Simplify (- 0) into 0 1540196463.399 * [misc]backup-simplify: Simplify 0 into 0 1540196463.399 * [misc]backup-simplify: Simplify 0 into 0 1540196463.401 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196463.401 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1540196463.402 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1540196463.403 * [misc]backup-simplify: Simplify (+ (* (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196463.403 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1540196463.403 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1540196463.403 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.403 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.403 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1540196463.404 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196463.404 * [misc]taylor: Taking taylor expansion of (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196463.404 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.404 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.404 * [misc]backup-simplify: Simplify 2 into 2 1540196463.404 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.404 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196463.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.404 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.404 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.404 * [misc]taylor: Taking taylor expansion of k in n 1540196463.404 * [misc]backup-simplify: Simplify k into k 1540196463.404 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.404 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.404 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196463.404 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.405 * [misc]backup-simplify: Simplify (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) into (* (log 2) (- 1/2 (* 1/2 (/ 1 k)))) 1540196463.405 * [misc]backup-simplify: Simplify (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) into (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) 1540196463.405 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1540196463.405 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196463.405 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1540196463.405 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1540196463.405 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196463.405 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.405 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.405 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.405 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.405 * [misc]taylor: Taking taylor expansion of k in n 1540196463.406 * [misc]backup-simplify: Simplify k into k 1540196463.406 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.406 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.406 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.406 * [misc]backup-simplify: Simplify PI into PI 1540196463.406 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.406 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.406 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196463.406 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.407 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1540196463.407 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1540196463.407 * [misc]taylor: Taking taylor expansion of (pow (/ 1 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1540196463.407 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n)))) in n 1540196463.407 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 1 n))) in n 1540196463.407 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1540196463.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.407 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.407 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.407 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.407 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.407 * [misc]taylor: Taking taylor expansion of k in n 1540196463.407 * [misc]backup-simplify: Simplify k into k 1540196463.407 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.408 * [misc]taylor: Taking taylor expansion of (log (/ 1 n)) in n 1540196463.408 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1540196463.408 * [misc]taylor: Taking taylor expansion of n in n 1540196463.408 * [misc]backup-simplify: Simplify 0 into 0 1540196463.408 * [misc]backup-simplify: Simplify 1 into 1 1540196463.408 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.408 * [misc]backup-simplify: Simplify (log 1) into 0 1540196463.408 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.408 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1540196463.408 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1540196463.409 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) 0) into (- (log n)) 1540196463.409 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log n))) into (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))) 1540196463.409 * [misc]backup-simplify: Simplify (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) into (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) 1540196463.409 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1540196463.410 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1540196463.410 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) 1540196463.411 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196463.412 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 k))) (log n)))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 k))))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) 1540196463.415 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (exp (* -1 (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k)) (- (* +nan.0 (/ (* (exp (* -1 (* (- 1/2 (* 1/2 k)) (log (/ 1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2)))))))) 1540196463.416 * [misc]backup-simplify: Simplify (/ (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (sqrt (/ 1 (- k)))) (pow (/ 1 (- n)) (- 1/2 (/ (/ 1 (- k)) 2))))) (/ (sqrt (sqrt (/ 1 (- k)))) (pow 2 (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1540196463.416 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in (k n) around 0 1540196463.416 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in n 1540196463.416 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196463.416 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.416 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196463.416 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196463.416 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.416 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.416 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.416 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.416 * [misc]taylor: Taking taylor expansion of k in n 1540196463.416 * [misc]backup-simplify: Simplify k into k 1540196463.416 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.416 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.416 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196463.416 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196463.416 * [misc]taylor: Taking taylor expansion of -1 in n 1540196463.417 * [misc]backup-simplify: Simplify -1 into -1 1540196463.417 * [misc]taylor: Taking taylor expansion of n in n 1540196463.417 * [misc]backup-simplify: Simplify 0 into 0 1540196463.417 * [misc]backup-simplify: Simplify 1 into 1 1540196463.417 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.417 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196463.417 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.417 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.418 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196463.418 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196463.418 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196463.418 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.418 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.418 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in n 1540196463.418 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in n 1540196463.418 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.418 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.418 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.418 * [misc]taylor: Taking taylor expansion of k in n 1540196463.418 * [misc]backup-simplify: Simplify k into k 1540196463.419 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.419 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.419 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.419 * [misc]backup-simplify: Simplify 2 into 2 1540196463.419 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.419 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.419 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.419 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.420 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.420 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.420 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196463.420 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196463.420 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.420 * [misc]taylor: Taking taylor expansion of k in n 1540196463.420 * [misc]backup-simplify: Simplify k into k 1540196463.420 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.420 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.420 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.420 * [misc]backup-simplify: Simplify PI into PI 1540196463.421 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.421 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.421 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.421 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196463.421 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.422 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1540196463.422 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1540196463.422 * [misc]taylor: Taking taylor expansion of -1 in n 1540196463.422 * [misc]backup-simplify: Simplify -1 into -1 1540196463.422 * [misc]taylor: Taking taylor expansion of k in n 1540196463.422 * [misc]backup-simplify: Simplify k into k 1540196463.422 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1540196463.422 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1540196463.422 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1540196463.422 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1540196463.423 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.423 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196463.424 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) into (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1540196463.424 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k 1540196463.424 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1540196463.424 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196463.424 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1540196463.424 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1540196463.424 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196463.424 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.424 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.424 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.424 * [misc]taylor: Taking taylor expansion of k in k 1540196463.424 * [misc]backup-simplify: Simplify 0 into 0 1540196463.424 * [misc]backup-simplify: Simplify 1 into 1 1540196463.424 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.424 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.424 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.424 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1540196463.424 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1540196463.424 * [misc]taylor: Taking taylor expansion of -1 in k 1540196463.424 * [misc]backup-simplify: Simplify -1 into -1 1540196463.424 * [misc]taylor: Taking taylor expansion of n in k 1540196463.424 * [misc]backup-simplify: Simplify n into n 1540196463.424 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1540196463.424 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1540196463.424 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.425 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.425 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1540196463.425 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.425 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196463.425 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196463.425 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540196463.425 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540196463.425 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196463.425 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.425 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.425 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.425 * [misc]taylor: Taking taylor expansion of k in k 1540196463.425 * [misc]backup-simplify: Simplify 0 into 0 1540196463.425 * [misc]backup-simplify: Simplify 1 into 1 1540196463.425 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.425 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.425 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.425 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196463.425 * [misc]taylor: Taking taylor expansion of 2 in k 1540196463.425 * [misc]backup-simplify: Simplify 2 into 2 1540196463.425 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.425 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.425 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.426 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196463.426 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.426 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196463.426 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540196463.426 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540196463.426 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196463.426 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.426 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.426 * [misc]taylor: Taking taylor expansion of k in k 1540196463.426 * [misc]backup-simplify: Simplify 0 into 0 1540196463.426 * [misc]backup-simplify: Simplify 1 into 1 1540196463.426 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.426 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.426 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196463.426 * [misc]taylor: Taking taylor expansion of PI in k 1540196463.426 * [misc]backup-simplify: Simplify PI into PI 1540196463.426 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.426 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.427 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.427 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196463.427 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.427 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196463.427 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196463.427 * [misc]taylor: Taking taylor expansion of -1 in k 1540196463.427 * [misc]backup-simplify: Simplify -1 into -1 1540196463.427 * [misc]taylor: Taking taylor expansion of k in k 1540196463.427 * [misc]backup-simplify: Simplify 0 into 0 1540196463.427 * [misc]backup-simplify: Simplify 1 into 1 1540196463.427 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.427 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.428 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196463.428 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.428 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196463.429 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196463.429 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k 1540196463.429 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1540196463.429 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196463.429 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in k 1540196463.429 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in k 1540196463.429 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196463.429 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.429 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.429 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.429 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.429 * [misc]taylor: Taking taylor expansion of k in k 1540196463.429 * [misc]backup-simplify: Simplify 0 into 0 1540196463.429 * [misc]backup-simplify: Simplify 1 into 1 1540196463.429 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.429 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.429 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.429 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in k 1540196463.429 * [misc]taylor: Taking taylor expansion of (/ -1 n) in k 1540196463.429 * [misc]taylor: Taking taylor expansion of -1 in k 1540196463.429 * [misc]backup-simplify: Simplify -1 into -1 1540196463.429 * [misc]taylor: Taking taylor expansion of n in k 1540196463.429 * [misc]backup-simplify: Simplify n into n 1540196463.429 * [misc]backup-simplify: Simplify (/ -1 n) into (/ -1 n) 1540196463.429 * [misc]backup-simplify: Simplify (log (/ -1 n)) into (log (/ -1 n)) 1540196463.429 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.429 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.429 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n))) 1540196463.430 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) into (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.430 * [misc]taylor: Taking taylor expansion of (* (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1540196463.430 * [misc]taylor: Taking taylor expansion of (pow 2 (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196463.430 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) in k 1540196463.430 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2)) in k 1540196463.430 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196463.430 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.430 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.430 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.430 * [misc]taylor: Taking taylor expansion of k in k 1540196463.430 * [misc]backup-simplify: Simplify 0 into 0 1540196463.430 * [misc]backup-simplify: Simplify 1 into 1 1540196463.430 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.430 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.430 * [misc]taylor: Taking taylor expansion of (log 2) in k 1540196463.430 * [misc]taylor: Taking taylor expansion of 2 in k 1540196463.430 * [misc]backup-simplify: Simplify 2 into 2 1540196463.430 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.430 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.430 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.431 * [misc]backup-simplify: Simplify (* 1/2 (log 2)) into (* 1/2 (log 2)) 1540196463.431 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log 2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.431 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1540196463.431 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1540196463.431 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1540196463.431 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1540196463.431 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1540196463.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.431 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1540196463.431 * [misc]taylor: Taking taylor expansion of k in k 1540196463.431 * [misc]backup-simplify: Simplify 0 into 0 1540196463.431 * [misc]backup-simplify: Simplify 1 into 1 1540196463.431 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1540196463.431 * [misc]taylor: Taking taylor expansion of 1/2 in k 1540196463.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.431 * [misc]taylor: Taking taylor expansion of (log PI) in k 1540196463.431 * [misc]taylor: Taking taylor expansion of PI in k 1540196463.431 * [misc]backup-simplify: Simplify PI into PI 1540196463.431 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.431 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1540196463.432 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1540196463.432 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1540196463.432 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.432 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1540196463.432 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1540196463.432 * [misc]taylor: Taking taylor expansion of -1 in k 1540196463.432 * [misc]backup-simplify: Simplify -1 into -1 1540196463.432 * [misc]taylor: Taking taylor expansion of k in k 1540196463.432 * [misc]backup-simplify: Simplify 0 into 0 1540196463.432 * [misc]backup-simplify: Simplify 1 into 1 1540196463.432 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.433 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1540196463.433 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1540196463.433 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.433 * [misc]backup-simplify: Simplify (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196463.434 * [misc]backup-simplify: Simplify (/ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196463.434 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540196463.434 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.434 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.434 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196463.434 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.434 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.434 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.434 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.434 * [misc]backup-simplify: Simplify 2 into 2 1540196463.434 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.434 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.434 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.434 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.434 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.434 * [misc]taylor: Taking taylor expansion of k in n 1540196463.434 * [misc]backup-simplify: Simplify k into k 1540196463.434 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.434 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.434 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.434 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.435 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.435 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.435 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.435 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.435 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196463.435 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196463.435 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.435 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.435 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.435 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.435 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.435 * [misc]taylor: Taking taylor expansion of k in n 1540196463.435 * [misc]backup-simplify: Simplify k into k 1540196463.435 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.435 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.435 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.435 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196463.435 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196463.435 * [misc]taylor: Taking taylor expansion of -1 in n 1540196463.435 * [misc]backup-simplify: Simplify -1 into -1 1540196463.435 * [misc]taylor: Taking taylor expansion of n in n 1540196463.435 * [misc]backup-simplify: Simplify 0 into 0 1540196463.435 * [misc]backup-simplify: Simplify 1 into 1 1540196463.435 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.435 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196463.435 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.435 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.436 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196463.436 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196463.436 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196463.436 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.436 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196463.436 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196463.436 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.436 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.436 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.436 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.436 * [misc]taylor: Taking taylor expansion of k in n 1540196463.436 * [misc]backup-simplify: Simplify k into k 1540196463.436 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.436 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.436 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.436 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.436 * [misc]backup-simplify: Simplify PI into PI 1540196463.437 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.437 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.437 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.437 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196463.437 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.437 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.438 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196463.438 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196463.439 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196463.439 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1540196463.439 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1540196463.440 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196463.440 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1540196463.441 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540196463.441 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1540196463.441 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540196463.441 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.441 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.441 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196463.441 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.441 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196463.441 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196463.441 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.441 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.441 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.441 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.441 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.441 * [misc]taylor: Taking taylor expansion of k in n 1540196463.441 * [misc]backup-simplify: Simplify k into k 1540196463.441 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.441 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.441 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.441 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196463.441 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196463.441 * [misc]taylor: Taking taylor expansion of -1 in n 1540196463.441 * [misc]backup-simplify: Simplify -1 into -1 1540196463.441 * [misc]taylor: Taking taylor expansion of n in n 1540196463.441 * [misc]backup-simplify: Simplify 0 into 0 1540196463.441 * [misc]backup-simplify: Simplify 1 into 1 1540196463.441 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.442 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196463.442 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.442 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.442 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196463.442 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196463.442 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196463.442 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.442 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.442 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.442 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.442 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.442 * [misc]backup-simplify: Simplify 2 into 2 1540196463.443 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.443 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.443 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.443 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.443 * [misc]taylor: Taking taylor expansion of k in n 1540196463.443 * [misc]backup-simplify: Simplify k into k 1540196463.443 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.443 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.443 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.443 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.443 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.443 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.443 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196463.443 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196463.443 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.443 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.443 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.443 * [misc]taylor: Taking taylor expansion of k in n 1540196463.443 * [misc]backup-simplify: Simplify k into k 1540196463.443 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.443 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.444 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.444 * [misc]backup-simplify: Simplify PI into PI 1540196463.444 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.444 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.444 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.444 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196463.444 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.444 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.445 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196463.445 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196463.446 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540196463.446 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540196463.448 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1540196463.448 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196463.448 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196463.448 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.448 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1540196463.449 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196463.449 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1540196463.451 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 1540196463.451 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196463.451 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196463.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.451 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196463.452 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -1) (log n)))) into 0 1540196463.452 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196463.453 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1540196463.453 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1540196463.453 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1540196463.453 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1540196463.454 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1540196463.454 * [misc]backup-simplify: Simplify (+ (* (log 2) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1540196463.455 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 1540196463.456 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1540196463.457 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1540196463.457 * [misc]backup-simplify: Simplify 0 into 0 1540196463.457 * [misc]backup-simplify: Simplify (+ (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1540196463.458 * [misc]backup-simplify: Simplify (+ (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into 0 1540196463.459 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1540196463.460 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1540196463.462 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) 1540196463.462 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))))) in n 1540196463.462 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) in n 1540196463.462 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540196463.462 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.462 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.462 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196463.462 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.462 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.462 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.462 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.462 * [misc]backup-simplify: Simplify 2 into 2 1540196463.462 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.462 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.462 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.462 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.462 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.462 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.462 * [misc]taylor: Taking taylor expansion of k in n 1540196463.463 * [misc]backup-simplify: Simplify k into k 1540196463.463 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.463 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.463 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.463 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.463 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.463 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.463 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.463 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.464 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196463.464 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196463.464 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.464 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.464 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.464 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.464 * [misc]taylor: Taking taylor expansion of k in n 1540196463.464 * [misc]backup-simplify: Simplify k into k 1540196463.464 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.464 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.464 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.464 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196463.464 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196463.464 * [misc]taylor: Taking taylor expansion of -1 in n 1540196463.464 * [misc]backup-simplify: Simplify -1 into -1 1540196463.464 * [misc]taylor: Taking taylor expansion of n in n 1540196463.464 * [misc]backup-simplify: Simplify 0 into 0 1540196463.464 * [misc]backup-simplify: Simplify 1 into 1 1540196463.464 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.464 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196463.464 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.465 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.465 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196463.465 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196463.466 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196463.466 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.466 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196463.466 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196463.466 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.466 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.466 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.466 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.466 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.466 * [misc]taylor: Taking taylor expansion of k in n 1540196463.466 * [misc]backup-simplify: Simplify k into k 1540196463.466 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.466 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.466 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.466 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.466 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.466 * [misc]backup-simplify: Simplify PI into PI 1540196463.466 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.466 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.467 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.467 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196463.467 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.467 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1540196463.467 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1540196463.467 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1540196463.467 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1540196463.467 * [misc]taylor: Taking taylor expansion of (* (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1540196463.467 * [misc]taylor: Taking taylor expansion of (pow (/ -1 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.467 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n)))) in n 1540196463.467 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -1 n))) in n 1540196463.467 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.468 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.468 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.468 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.468 * [misc]taylor: Taking taylor expansion of k in n 1540196463.468 * [misc]backup-simplify: Simplify k into k 1540196463.468 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.468 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.468 * [misc]taylor: Taking taylor expansion of (log (/ -1 n)) in n 1540196463.468 * [misc]taylor: Taking taylor expansion of (/ -1 n) in n 1540196463.468 * [misc]taylor: Taking taylor expansion of -1 in n 1540196463.468 * [misc]backup-simplify: Simplify -1 into -1 1540196463.468 * [misc]taylor: Taking taylor expansion of n in n 1540196463.468 * [misc]backup-simplify: Simplify 0 into 0 1540196463.468 * [misc]backup-simplify: Simplify 1 into 1 1540196463.468 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1540196463.468 * [misc]backup-simplify: Simplify (log -1) into (log -1) 1540196463.468 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.468 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.469 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n)) 1540196463.469 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n))) 1540196463.469 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) 1540196463.469 * [misc]taylor: Taking taylor expansion of (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.469 * [misc]taylor: Taking taylor expansion of (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1540196463.469 * [misc]taylor: Taking taylor expansion of (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.469 * [misc]taylor: Taking taylor expansion of (log 2) in n 1540196463.469 * [misc]taylor: Taking taylor expansion of 2 in n 1540196463.470 * [misc]backup-simplify: Simplify 2 into 2 1540196463.470 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1540196463.470 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.470 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.470 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.470 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.470 * [misc]taylor: Taking taylor expansion of k in n 1540196463.470 * [misc]backup-simplify: Simplify k into k 1540196463.470 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.470 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.470 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.470 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.470 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.470 * [misc]backup-simplify: Simplify (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.471 * [misc]backup-simplify: Simplify (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) into (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.471 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1540196463.471 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1540196463.471 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1540196463.471 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1540196463.471 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1540196463.471 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.471 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1540196463.471 * [misc]taylor: Taking taylor expansion of k in n 1540196463.471 * [misc]backup-simplify: Simplify k into k 1540196463.471 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1540196463.471 * [misc]taylor: Taking taylor expansion of 1/2 in n 1540196463.471 * [misc]backup-simplify: Simplify 1/2 into 1/2 1540196463.471 * [misc]taylor: Taking taylor expansion of (log PI) in n 1540196463.471 * [misc]taylor: Taking taylor expansion of PI in n 1540196463.471 * [misc]backup-simplify: Simplify PI into PI 1540196463.472 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1540196463.472 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1540196463.472 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1540196463.472 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1540196463.472 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1540196463.473 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.474 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196463.474 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196463.475 * [misc]backup-simplify: Simplify (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1540196463.475 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1540196463.476 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1540196463.477 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540196463.479 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540196463.480 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540196463.480 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 k)) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -1) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1540196463.484 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (log 2) (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -1) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -1) (log (/ -1 n))))) (* (exp (* (log 2) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) k))))))) 1540196463.484 * * * [misc]progress: simplifying candidates 1540196463.485 * * * * [misc]progress: [ 1 / 6870 ] simplifiying candidate # 1540196463.485 * * * * [misc]progress: [ 2 / 6870 ] simplifiying candidate # 1540196463.485 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1540196463.485 * * [misc]simplify: iters left: 3 (5 enodes) 1540196463.486 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1540196463.486 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196463.486 * * * * [misc]progress: [ 3 / 6870 ] simplifiying candidate # 1540196463.487 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1540196463.487 * * [misc]simplify: iters left: 5 (6 enodes) 1540196463.488 * * [misc]simplify: iters left: 4 (8 enodes) 1540196463.491 * * [misc]simplify: iters left: 3 (11 enodes) 1540196463.492 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1540196463.492 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196463.492 * * * * [misc]progress: [ 4 / 6870 ] simplifiying candidate # 1540196463.493 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1540196463.493 * * [misc]simplify: iters left: 5 (6 enodes) 1540196463.493 * * [misc]simplify: iters left: 4 (8 enodes) 1540196463.494 * * [misc]simplify: iters left: 3 (11 enodes) 1540196463.497 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1540196463.497 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196463.497 * * * * [misc]progress: [ 5 / 6870 ] simplifiying candidate # 1540196463.497 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1540196463.497 * * [misc]simplify: iters left: 4 (5 enodes) 1540196463.498 * * [misc]simplify: iters left: 3 (7 enodes) 1540196463.499 * * [misc]simplify: iters left: 2 (10 enodes) 1540196463.500 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1540196463.500 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196463.500 * * * * [misc]progress: [ 6 / 6870 ] simplifiying candidate # 1540196463.501 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540196463.501 * * [misc]simplify: iters left: 5 (6 enodes) 1540196463.501 * * [misc]simplify: iters left: 4 (8 enodes) 1540196463.502 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540196463.502 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196463.503 * * * * [misc]progress: [ 7 / 6870 ] simplifiying candidate # 1540196463.503 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1540196463.503 * * [misc]simplify: iters left: 5 (6 enodes) 1540196463.504 * * [misc]simplify: iters left: 4 (8 enodes) 1540196463.505 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1540196463.505 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196463.505 * * * * [misc]progress: [ 8 / 6870 ] simplifiying candidate # 1540196463.505 * * * * [misc]progress: [ 9 / 6870 ] simplifiying candidate # 1540196463.505 * * * * [misc]progress: [ 10 / 6870 ] simplifiying candidate # 1540196463.505 * * * * [misc]progress: [ 11 / 6870 ] simplifiying candidate # 1540196463.505 * * * * [misc]progress: [ 12 / 6870 ] simplifiying candidate # 1540196463.505 * * * * [misc]progress: [ 13 / 6870 ] simplifiying candidate # 1540196463.505 * * * * [misc]progress: [ 14 / 6870 ] simplifiying candidate # 1540196463.505 * * * * [misc]progress: [ 15 / 6870 ] simplifiying candidate # 1540196463.505 * * * * [misc]progress: [ 16 / 6870 ] simplifiying candidate # 1540196463.505 * [enter]simplify: Simplifying (- (log (sqrt (sqrt k))) (* (log 2) (- 1/2 (/ k 2)))) 1540196463.505 * * [misc]simplify: iters left: 6 (11 enodes) 1540196463.507 * * [misc]simplify: iters left: 5 (16 enodes) 1540196463.510 * * [misc]simplify: iters left: 4 (32 enodes) 1540196463.515 * * [misc]simplify: iters left: 3 (65 enodes) 1540196463.525 * * [misc]simplify: iters left: 2 (111 enodes) 1540196463.543 * * [misc]simplify: iters left: 1 (154 enodes) 1540196463.567 * [exit]simplify: Simplified to (+ (log (sqrt (sqrt k))) (* (log 2) (+ -1/2 (/ k 2)))) 1540196463.567 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (exp (+ (log (sqrt (sqrt k))) (* (log 2) (+ -1/2 (/ k 2))))))) 1540196463.567 * * * * [misc]progress: [ 17 / 6870 ] simplifiying candidate # 1540196463.567 * [enter]simplify: Simplifying (- (log (sqrt (sqrt k))) (log (pow 2 (- 1/2 (/ k 2))))) 1540196463.567 * * [misc]simplify: iters left: 6 (11 enodes) 1540196463.571 * * [misc]simplify: iters left: 5 (17 enodes) 1540196463.578 * * [misc]simplify: iters left: 4 (26 enodes) 1540196463.585 * * [misc]simplify: iters left: 3 (41 enodes) 1540196463.598 * * [misc]simplify: iters left: 2 (86 enodes) 1540196463.623 * * [misc]simplify: iters left: 1 (128 enodes) 1540196463.659 * [exit]simplify: Simplified to (+ (* (log 2) (+ (/ k 2) -1/2)) (log (sqrt (sqrt k)))) 1540196463.659 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (exp (+ (* (log 2) (+ (/ k 2) -1/2)) (log (sqrt (sqrt k))))))) 1540196463.660 * * * * [misc]progress: [ 18 / 6870 ] simplifiying candidate # 1540196463.660 * * * * [misc]progress: [ 19 / 6870 ] simplifiying candidate # 1540196463.660 * * * * [misc]progress: [ 20 / 6870 ] simplifiying candidate # 1540196463.660 * [enter]simplify: Simplifying (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) 1540196463.660 * * [misc]simplify: iters left: 6 (13 enodes) 1540196463.663 * * [misc]simplify: iters left: 5 (24 enodes) 1540196463.667 * * [misc]simplify: iters left: 4 (56 enodes) 1540196463.676 * * [misc]simplify: iters left: 3 (106 enodes) 1540196463.699 * * [misc]simplify: iters left: 2 (164 enodes) 1540196463.744 * * [misc]simplify: iters left: 1 (181 enodes) 1540196463.765 * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt k)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196463.765 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (/ (* (sqrt (sqrt k)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196463.765 * * * * [misc]progress: [ 21 / 6870 ] simplifiying candidate # 1540196463.765 * * * * [misc]progress: [ 22 / 6870 ] simplifiying candidate # 1540196463.765 * * * * [misc]progress: [ 23 / 6870 ] simplifiying candidate # 1540196463.765 * * * * [misc]progress: [ 24 / 6870 ] simplifiying candidate # 1540196463.765 * * * * [misc]progress: [ 25 / 6870 ] simplifiying candidate # 1540196463.765 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2)) 1540196463.765 * * [misc]simplify: iters left: 6 (9 enodes) 1540196463.768 * * [misc]simplify: iters left: 5 (12 enodes) 1540196463.770 * * [misc]simplify: iters left: 4 (14 enodes) 1540196463.772 * * [misc]simplify: iters left: 3 (15 enodes) 1540196463.775 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2)) 1540196463.775 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196463.775 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540196463.775 * * [misc]simplify: iters left: 6 (9 enodes) 1540196463.776 * * [misc]simplify: iters left: 5 (11 enodes) 1540196463.778 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540196463.778 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196463.778 * * * * [misc]progress: [ 26 / 6870 ] simplifiying candidate # 1540196463.778 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2)) 1540196463.778 * * [misc]simplify: iters left: 6 (9 enodes) 1540196463.780 * * [misc]simplify: iters left: 5 (12 enodes) 1540196463.782 * * [misc]simplify: iters left: 4 (14 enodes) 1540196463.784 * * [misc]simplify: iters left: 3 (15 enodes) 1540196463.787 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2)) 1540196463.787 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196463.787 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540196463.787 * * [misc]simplify: iters left: 6 (9 enodes) 1540196463.789 * * [misc]simplify: iters left: 5 (11 enodes) 1540196463.791 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540196463.791 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196463.791 * * * * [misc]progress: [ 27 / 6870 ] simplifiying candidate # 1540196463.792 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196463.792 * * [misc]simplify: iters left: 6 (13 enodes) 1540196463.795 * * [misc]simplify: iters left: 5 (21 enodes) 1540196463.800 * * [misc]simplify: iters left: 4 (33 enodes) 1540196463.809 * * [misc]simplify: iters left: 3 (36 enodes) 1540196463.817 * * [misc]simplify: iters left: 2 (39 enodes) 1540196463.827 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196463.827 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196463.828 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.828 * * [misc]simplify: iters left: 6 (11 enodes) 1540196463.831 * * [misc]simplify: iters left: 5 (13 enodes) 1540196463.834 * * [misc]simplify: iters left: 4 (16 enodes) 1540196463.838 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.839 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196463.839 * * * * [misc]progress: [ 28 / 6870 ] simplifiying candidate # 1540196463.839 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.839 * * [misc]simplify: iters left: 6 (12 enodes) 1540196463.843 * * [misc]simplify: iters left: 5 (16 enodes) 1540196463.847 * * [misc]simplify: iters left: 4 (21 enodes) 1540196463.853 * * [misc]simplify: iters left: 3 (22 enodes) 1540196463.859 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.859 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196463.859 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.860 * * [misc]simplify: iters left: 6 (11 enodes) 1540196463.863 * * [misc]simplify: iters left: 5 (13 enodes) 1540196463.866 * * [misc]simplify: iters left: 4 (16 enodes) 1540196463.870 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.870 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196463.871 * * * * [misc]progress: [ 29 / 6870 ] simplifiying candidate # 1540196463.871 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1) 1540196463.871 * * [misc]simplify: iters left: 6 (7 enodes) 1540196463.873 * * [misc]simplify: iters left: 5 (11 enodes) 1540196463.876 * * [misc]simplify: iters left: 4 (17 enodes) 1540196463.881 * * [misc]simplify: iters left: 3 (31 enodes) 1540196463.889 * * [misc]simplify: iters left: 2 (57 enodes) 1540196463.899 * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540196463.899 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196463.899 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540196463.899 * * [misc]simplify: iters left: 6 (10 enodes) 1540196463.900 * * [misc]simplify: iters left: 5 (12 enodes) 1540196463.902 * * [misc]simplify: iters left: 4 (15 enodes) 1540196463.904 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540196463.904 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196463.904 * * * * [misc]progress: [ 30 / 6870 ] simplifiying candidate # 1540196463.904 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2)) 1540196463.904 * * [misc]simplify: iters left: 6 (9 enodes) 1540196463.906 * * [misc]simplify: iters left: 5 (11 enodes) 1540196463.908 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt 2)) 1540196463.908 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (fabs (cbrt (sqrt k))) (sqrt 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196463.908 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540196463.908 * * [misc]simplify: iters left: 6 (9 enodes) 1540196463.910 * * [misc]simplify: iters left: 5 (11 enodes) 1540196463.911 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540196463.911 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (fabs (cbrt (sqrt k))) (sqrt 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196463.911 * * * * [misc]progress: [ 31 / 6870 ] simplifiying candidate # 1540196463.911 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2)) 1540196463.911 * * [misc]simplify: iters left: 6 (9 enodes) 1540196463.913 * * [misc]simplify: iters left: 5 (11 enodes) 1540196463.915 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt 2)) 1540196463.915 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (fabs (cbrt (sqrt k))) (sqrt 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196463.916 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540196463.916 * * [misc]simplify: iters left: 6 (9 enodes) 1540196463.917 * * [misc]simplify: iters left: 5 (11 enodes) 1540196463.918 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540196463.918 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (fabs (cbrt (sqrt k))) (sqrt 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196463.918 * * * * [misc]progress: [ 32 / 6870 ] simplifiying candidate # 1540196463.918 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196463.919 * * [misc]simplify: iters left: 6 (13 enodes) 1540196463.920 * * [misc]simplify: iters left: 5 (18 enodes) 1540196463.923 * * [misc]simplify: iters left: 4 (21 enodes) 1540196463.928 * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.928 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196463.928 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.928 * * [misc]simplify: iters left: 6 (11 enodes) 1540196463.931 * * [misc]simplify: iters left: 5 (13 enodes) 1540196463.935 * * [misc]simplify: iters left: 4 (16 enodes) 1540196463.939 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.939 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196463.939 * * * * [misc]progress: [ 33 / 6870 ] simplifiying candidate # 1540196463.940 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.940 * * [misc]simplify: iters left: 6 (12 enodes) 1540196463.943 * * [misc]simplify: iters left: 5 (15 enodes) 1540196463.948 * * [misc]simplify: iters left: 4 (18 enodes) 1540196463.952 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.953 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (fabs (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196463.953 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.953 * * [misc]simplify: iters left: 6 (11 enodes) 1540196463.956 * * [misc]simplify: iters left: 5 (13 enodes) 1540196463.960 * * [misc]simplify: iters left: 4 (16 enodes) 1540196463.965 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196463.965 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (fabs (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196463.965 * * * * [misc]progress: [ 34 / 6870 ] simplifiying candidate # 1540196463.965 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1540196463.966 * * [misc]simplify: iters left: 6 (7 enodes) 1540196463.968 * * [misc]simplify: iters left: 5 (10 enodes) 1540196463.971 * * [misc]simplify: iters left: 4 (12 enodes) 1540196463.973 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1540196463.973 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (fabs (cbrt (sqrt k))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196463.974 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540196463.974 * * [misc]simplify: iters left: 6 (10 enodes) 1540196463.976 * * [misc]simplify: iters left: 5 (12 enodes) 1540196463.980 * * [misc]simplify: iters left: 4 (15 enodes) 1540196463.984 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540196463.984 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (fabs (cbrt (sqrt k))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196463.984 * * * * [misc]progress: [ 35 / 6870 ] simplifiying candidate # 1540196463.984 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2)) 1540196463.984 * * [misc]simplify: iters left: 5 (8 enodes) 1540196463.987 * * [misc]simplify: iters left: 4 (9 enodes) 1540196463.989 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1540196463.989 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196463.989 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540196463.989 * * [misc]simplify: iters left: 6 (9 enodes) 1540196463.991 * * [misc]simplify: iters left: 5 (11 enodes) 1540196463.992 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540196463.992 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196463.992 * * * * [misc]progress: [ 36 / 6870 ] simplifiying candidate # 1540196463.992 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2)) 1540196463.992 * * [misc]simplify: iters left: 5 (8 enodes) 1540196463.994 * * [misc]simplify: iters left: 4 (9 enodes) 1540196463.996 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1540196463.996 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196463.996 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540196463.996 * * [misc]simplify: iters left: 6 (9 enodes) 1540196463.997 * * [misc]simplify: iters left: 5 (11 enodes) 1540196463.999 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540196463.999 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196463.999 * * * * [misc]progress: [ 37 / 6870 ] simplifiying candidate # 1540196463.999 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196463.999 * * [misc]simplify: iters left: 6 (12 enodes) 1540196464.002 * * [misc]simplify: iters left: 5 (16 enodes) 1540196464.004 * * [misc]simplify: iters left: 4 (19 enodes) 1540196464.007 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196464.007 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.007 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.007 * * [misc]simplify: iters left: 6 (11 enodes) 1540196464.010 * * [misc]simplify: iters left: 5 (13 enodes) 1540196464.013 * * [misc]simplify: iters left: 4 (16 enodes) 1540196464.018 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.018 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.018 * * * * [misc]progress: [ 38 / 6870 ] simplifiying candidate # 1540196464.018 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.018 * * [misc]simplify: iters left: 6 (11 enodes) 1540196464.022 * * [misc]simplify: iters left: 5 (13 enodes) 1540196464.025 * * [misc]simplify: iters left: 4 (16 enodes) 1540196464.029 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.030 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.030 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.030 * * [misc]simplify: iters left: 6 (11 enodes) 1540196464.033 * * [misc]simplify: iters left: 5 (13 enodes) 1540196464.036 * * [misc]simplify: iters left: 4 (16 enodes) 1540196464.041 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.041 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.041 * * * * [misc]progress: [ 39 / 6870 ] simplifiying candidate # 1540196464.041 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) 1) 1540196464.041 * * [misc]simplify: iters left: 5 (6 enodes) 1540196464.043 * * [misc]simplify: iters left: 4 (8 enodes) 1540196464.046 * * [misc]simplify: iters left: 3 (10 enodes) 1540196464.048 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1540196464.048 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196464.048 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540196464.048 * * [misc]simplify: iters left: 6 (10 enodes) 1540196464.049 * * [misc]simplify: iters left: 5 (12 enodes) 1540196464.051 * * [misc]simplify: iters left: 4 (15 enodes) 1540196464.053 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540196464.053 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196464.053 * * * * [misc]progress: [ 40 / 6870 ] simplifiying candidate # 1540196464.053 * [enter]simplify: Simplifying (/ (sqrt 1) (pow 2 1/2)) 1540196464.054 * * [misc]simplify: iters left: 3 (6 enodes) 1540196464.055 * * [misc]simplify: iters left: 2 (9 enodes) 1540196464.057 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1540196464.057 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196464.057 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540196464.057 * * [misc]simplify: iters left: 6 (8 enodes) 1540196464.058 * * [misc]simplify: iters left: 5 (10 enodes) 1540196464.060 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540196464.060 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196464.060 * * * * [misc]progress: [ 41 / 6870 ] simplifiying candidate # 1540196464.060 * [enter]simplify: Simplifying (/ (sqrt 1) (pow 2 1/2)) 1540196464.060 * * [misc]simplify: iters left: 3 (6 enodes) 1540196464.062 * * [misc]simplify: iters left: 2 (9 enodes) 1540196464.064 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1540196464.064 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196464.064 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540196464.064 * * [misc]simplify: iters left: 6 (8 enodes) 1540196464.065 * * [misc]simplify: iters left: 5 (10 enodes) 1540196464.066 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540196464.066 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196464.066 * * * * [misc]progress: [ 42 / 6870 ] simplifiying candidate # 1540196464.067 * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196464.067 * * [misc]simplify: iters left: 6 (11 enodes) 1540196464.069 * * [misc]simplify: iters left: 5 (17 enodes) 1540196464.071 * * [misc]simplify: iters left: 4 (21 enodes) 1540196464.073 * * [misc]simplify: iters left: 3 (23 enodes) 1540196464.076 * * [misc]simplify: iters left: 2 (24 enodes) 1540196464.078 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196464.078 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.078 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.079 * * [misc]simplify: iters left: 6 (10 enodes) 1540196464.080 * * [misc]simplify: iters left: 5 (12 enodes) 1540196464.081 * * [misc]simplify: iters left: 4 (15 enodes) 1540196464.083 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.083 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.083 * * * * [misc]progress: [ 43 / 6870 ] simplifiying candidate # 1540196464.084 * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.084 * * [misc]simplify: iters left: 6 (10 enodes) 1540196464.085 * * [misc]simplify: iters left: 5 (14 enodes) 1540196464.087 * * [misc]simplify: iters left: 4 (17 enodes) 1540196464.091 * [exit]simplify: Simplified to (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.091 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.091 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.091 * * [misc]simplify: iters left: 6 (10 enodes) 1540196464.094 * * [misc]simplify: iters left: 5 (12 enodes) 1540196464.097 * * [misc]simplify: iters left: 4 (15 enodes) 1540196464.101 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.101 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.101 * * * * [misc]progress: [ 44 / 6870 ] simplifiying candidate # 1540196464.102 * [enter]simplify: Simplifying (/ (sqrt 1) 1) 1540196464.102 * * [misc]simplify: iters left: 3 (3 enodes) 1540196464.103 * * [misc]simplify: iters left: 2 (5 enodes) 1540196464.104 * [exit]simplify: Simplified to 1 1540196464.104 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* 1 (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196464.104 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196464.104 * * [misc]simplify: iters left: 6 (9 enodes) 1540196464.105 * * [misc]simplify: iters left: 5 (11 enodes) 1540196464.108 * * [misc]simplify: iters left: 4 (14 enodes) 1540196464.109 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196464.109 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* 1 (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196464.110 * * * * [misc]progress: [ 45 / 6870 ] simplifiying candidate # 1540196464.110 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2)) 1540196464.110 * * [misc]simplify: iters left: 5 (8 enodes) 1540196464.112 * * [misc]simplify: iters left: 4 (9 enodes) 1540196464.113 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1540196464.113 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196464.113 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540196464.113 * * [misc]simplify: iters left: 6 (9 enodes) 1540196464.115 * * [misc]simplify: iters left: 5 (11 enodes) 1540196464.116 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540196464.116 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196464.116 * * * * [misc]progress: [ 46 / 6870 ] simplifiying candidate # 1540196464.116 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2)) 1540196464.116 * * [misc]simplify: iters left: 5 (8 enodes) 1540196464.118 * * [misc]simplify: iters left: 4 (9 enodes) 1540196464.120 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1540196464.120 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196464.120 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1540196464.120 * * [misc]simplify: iters left: 6 (9 enodes) 1540196464.121 * * [misc]simplify: iters left: 5 (11 enodes) 1540196464.122 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1540196464.122 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196464.123 * * * * [misc]progress: [ 47 / 6870 ] simplifiying candidate # 1540196464.123 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196464.123 * * [misc]simplify: iters left: 6 (12 enodes) 1540196464.125 * * [misc]simplify: iters left: 5 (16 enodes) 1540196464.127 * * [misc]simplify: iters left: 4 (19 enodes) 1540196464.130 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196464.130 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.130 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.130 * * [misc]simplify: iters left: 6 (11 enodes) 1540196464.131 * * [misc]simplify: iters left: 5 (13 enodes) 1540196464.133 * * [misc]simplify: iters left: 4 (16 enodes) 1540196464.135 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.135 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.135 * * * * [misc]progress: [ 48 / 6870 ] simplifiying candidate # 1540196464.135 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.135 * * [misc]simplify: iters left: 6 (11 enodes) 1540196464.137 * * [misc]simplify: iters left: 5 (13 enodes) 1540196464.138 * * [misc]simplify: iters left: 4 (16 enodes) 1540196464.142 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.142 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.142 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.142 * * [misc]simplify: iters left: 6 (11 enodes) 1540196464.145 * * [misc]simplify: iters left: 5 (13 enodes) 1540196464.149 * * [misc]simplify: iters left: 4 (16 enodes) 1540196464.153 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.153 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.153 * * * * [misc]progress: [ 49 / 6870 ] simplifiying candidate # 1540196464.154 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) 1) 1540196464.154 * * [misc]simplify: iters left: 5 (6 enodes) 1540196464.155 * * [misc]simplify: iters left: 4 (8 enodes) 1540196464.158 * * [misc]simplify: iters left: 3 (10 enodes) 1540196464.160 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1540196464.160 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196464.160 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540196464.160 * * [misc]simplify: iters left: 6 (10 enodes) 1540196464.163 * * [misc]simplify: iters left: 5 (12 enodes) 1540196464.166 * * [misc]simplify: iters left: 4 (15 enodes) 1540196464.170 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) 1540196464.170 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196464.171 * * * * [misc]progress: [ 50 / 6870 ] simplifiying candidate # 1540196464.171 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1540196464.171 * * [misc]simplify: iters left: 3 (5 enodes) 1540196464.173 * * [misc]simplify: iters left: 2 (8 enodes) 1540196464.176 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1540196464.176 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196464.176 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540196464.176 * * [misc]simplify: iters left: 6 (8 enodes) 1540196464.179 * * [misc]simplify: iters left: 5 (10 enodes) 1540196464.182 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540196464.182 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196464.182 * * * * [misc]progress: [ 51 / 6870 ] simplifiying candidate # 1540196464.182 * [enter]simplify: Simplifying (/ 1 (pow 2 1/2)) 1540196464.182 * * [misc]simplify: iters left: 3 (5 enodes) 1540196464.185 * * [misc]simplify: iters left: 2 (8 enodes) 1540196464.188 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1540196464.188 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196464.188 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1540196464.188 * * [misc]simplify: iters left: 6 (8 enodes) 1540196464.191 * * [misc]simplify: iters left: 5 (10 enodes) 1540196464.194 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1540196464.194 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196464.194 * * * * [misc]progress: [ 52 / 6870 ] simplifiying candidate # 1540196464.194 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196464.194 * * [misc]simplify: iters left: 6 (10 enodes) 1540196464.197 * * [misc]simplify: iters left: 5 (16 enodes) 1540196464.201 * * [misc]simplify: iters left: 4 (19 enodes) 1540196464.206 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196464.206 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.207 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.207 * * [misc]simplify: iters left: 6 (10 enodes) 1540196464.209 * * [misc]simplify: iters left: 5 (12 enodes) 1540196464.213 * * [misc]simplify: iters left: 4 (15 enodes) 1540196464.217 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.217 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.217 * * * * [misc]progress: [ 53 / 6870 ] simplifiying candidate # 1540196464.217 * [enter]simplify: Simplifying (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.217 * * [misc]simplify: iters left: 6 (9 enodes) 1540196464.220 * * [misc]simplify: iters left: 5 (13 enodes) 1540196464.223 * * [misc]simplify: iters left: 4 (16 enodes) 1540196464.229 * [exit]simplify: Simplified to (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.229 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.230 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.230 * * [misc]simplify: iters left: 6 (10 enodes) 1540196464.233 * * [misc]simplify: iters left: 5 (12 enodes) 1540196464.236 * * [misc]simplify: iters left: 4 (15 enodes) 1540196464.240 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196464.240 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196464.240 * * * * [misc]progress: [ 54 / 6870 ] simplifiying candidate # 1540196464.240 * [enter]simplify: Simplifying (/ 1 1) 1540196464.241 * * [misc]simplify: iters left: 2 (2 enodes) 1540196464.241 * * [misc]simplify: iters left: 1 (4 enodes) 1540196464.242 * [exit]simplify: Simplified to 1 1540196464.242 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* 1 (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196464.242 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196464.242 * * [misc]simplify: iters left: 6 (9 enodes) 1540196464.245 * * [misc]simplify: iters left: 5 (11 enodes) 1540196464.248 * * [misc]simplify: iters left: 4 (14 enodes) 1540196464.252 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1540196464.252 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* 1 (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196464.252 * * * * [misc]progress: [ 55 / 6870 ] simplifiying candidate # 1540196464.252 * * * * [misc]progress: [ 56 / 6870 ] simplifiying candidate # 1540196464.252 * * * * [misc]progress: [ 57 / 6870 ] simplifiying candidate # 1540196464.252 * * * * [misc]progress: [ 58 / 6870 ] simplifiying candidate # 1540196464.252 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1540196464.252 * * [misc]simplify: iters left: 5 (5 enodes) 1540196464.254 * * [misc]simplify: iters left: 4 (7 enodes) 1540196464.256 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1540196464.256 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt k)) (pow 2 1/2)) (pow 2 (- (/ k 2)))))) 1540196464.256 * * * * [misc]progress: [ 59 / 6870 ] simplifiying candidate # 1540196464.256 * [enter]simplify: Simplifying (pow 2 (- (/ k 2))) 1540196464.256 * * [misc]simplify: iters left: 5 (5 enodes) 1540196464.258 * * [misc]simplify: iters left: 4 (7 enodes) 1540196464.259 * [exit]simplify: Simplified to (pow 2 (- (/ k 2))) 1540196464.259 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt k)) (pow 2 1/2)) (pow 2 (- (/ k 2)))))) 1540196464.260 * * * * [misc]progress: [ 60 / 6870 ] simplifiying candidate # 1540196464.260 * [enter]simplify: Simplifying (cbrt (pow 2 (- 1/2 (/ k 2)))) 1540196464.260 * * [misc]simplify: iters left: 6 (7 enodes) 1540196464.261 * * [misc]simplify: iters left: 5 (9 enodes) 1540196464.262 * * [misc]simplify: iters left: 4 (12 enodes) 1540196464.264 * [exit]simplify: Simplified to (cbrt (pow 2 (- 1/2 (/ k 2)))) 1540196464.264 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt k)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196464.264 * * * * [misc]progress: [ 61 / 6870 ] simplifiying candidate # 1540196464.264 * [enter]simplify: Simplifying (sqrt (pow 2 (- 1/2 (/ k 2)))) 1540196464.264 * * [misc]simplify: iters left: 6 (7 enodes) 1540196464.265 * * [misc]simplify: iters left: 5 (9 enodes) 1540196464.266 * * [misc]simplify: iters left: 4 (12 enodes) 1540196464.268 * [exit]simplify: Simplified to (sqrt (pow 2 (- 1/2 (/ k 2)))) 1540196464.268 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2))))))) 1540196464.268 * * * * [misc]progress: [ 62 / 6870 ] simplifiying candidate # 1540196464.268 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1540196464.268 * * [misc]simplify: iters left: 5 (6 enodes) 1540196464.269 * * [misc]simplify: iters left: 4 (8 enodes) 1540196464.270 * * [misc]simplify: iters left: 3 (11 enodes) 1540196464.271 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1540196464.271 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt k)) 1) (pow 2 (- 1/2 (/ k 2)))))) 1540196464.271 * * * * [misc]progress: [ 63 / 6870 ] simplifiying candidate # 1540196464.272 * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540196464.272 * * [misc]simplify: iters left: 5 (5 enodes) 1540196464.272 * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540196464.272 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196464.272 * * * * [misc]progress: [ 64 / 6870 ] simplifiying candidate # 1540196464.273 * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1540196464.273 * * [misc]simplify: iters left: 5 (5 enodes) 1540196464.273 * * [misc]simplify: iters left: 4 (6 enodes) 1540196464.274 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1540196464.274 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1540196464.274 * * * * [misc]progress: [ 65 / 6870 ] simplifiying candidate # 1540196464.274 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1540196464.274 * * [misc]simplify: iters left: 3 (4 enodes) 1540196464.275 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1540196464.275 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196464.275 * * * * [misc]progress: [ 66 / 6870 ] simplifiying candidate # 1540196464.275 * [enter]simplify: Simplifying (sqrt 1) 1540196464.275 * * [misc]simplify: iters left: 1 (2 enodes) 1540196464.276 * [exit]simplify: Simplified to 1 1540196464.276 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540196464.276 * * * * [misc]progress: [ 67 / 6870 ] simplifiying candidate # 1540196464.276 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1540196464.276 * * [misc]simplify: iters left: 3 (4 enodes) 1540196464.277 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1540196464.277 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196464.277 * * * * [misc]progress: [ 68 / 6870 ] simplifiying candidate # 1540196464.277 * * * * [misc]progress: [ 69 / 6870 ] simplifiying candidate # 1540196464.277 * [enter]simplify: Simplifying (pow 2 (/ k 2)) 1540196464.277 * * [misc]simplify: iters left: 3 (4 enodes) 1540196464.278 * [exit]simplify: Simplified to (pow 2 (/ k 2)) 1540196464.278 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (sqrt k)) (pow 2 1/2)) (pow 2 (/ k 2))))) 1540196464.278 * * * * [misc]progress: [ 70 / 6870 ] simplifiying candidate # 1540196464.278 * * * * [misc]progress: [ 71 / 6870 ] simplifiying candidate # 1540196464.278 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt (sqrt k))) (* (log n) (- 1/2 (/ k 2))))) 1540196464.278 * * [misc]simplify: iters left: 6 (16 enodes) 1540196464.280 * * [misc]simplify: iters left: 5 (26 enodes) 1540196464.284 * * [misc]simplify: iters left: 4 (55 enodes) 1540196464.303 * * [misc]simplify: iters left: 3 (142 enodes) 1540196464.339 * * [misc]simplify: iters left: 2 (435 enodes) 1540196464.561 * [exit]simplify: Simplified to (- (* (+ (log n) (log PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1540196464.562 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (+ (log n) (log PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196464.562 * * * * [misc]progress: [ 72 / 6870 ] simplifiying candidate # 1540196464.562 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt (sqrt k))) (log (pow n (- 1/2 (/ k 2)))))) 1540196464.562 * * [misc]simplify: iters left: 6 (16 enodes) 1540196464.567 * * [misc]simplify: iters left: 5 (27 enodes) 1540196464.575 * * [misc]simplify: iters left: 4 (49 enodes) 1540196464.588 * * [misc]simplify: iters left: 3 (107 enodes) 1540196464.610 * * [misc]simplify: iters left: 2 (299 enodes) 1540196464.736 * [exit]simplify: Simplified to (- (* (+ (log PI) (log n)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1540196464.736 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (+ (log PI) (log n)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196464.736 * * * * [misc]progress: [ 73 / 6870 ] simplifiying candidate # 1540196464.736 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196464.736 * * [misc]simplify: iters left: 6 (15 enodes) 1540196464.738 * * [misc]simplify: iters left: 5 (23 enodes) 1540196464.744 * * [misc]simplify: iters left: 4 (39 enodes) 1540196464.758 * * [misc]simplify: iters left: 3 (76 enodes) 1540196464.782 * * [misc]simplify: iters left: 2 (156 enodes) 1540196464.833 * * [misc]simplify: iters left: 1 (375 enodes) 1540196464.968 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log n))) (log (sqrt (sqrt k)))) 1540196464.968 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log n))) (log (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196464.968 * * * * [misc]progress: [ 74 / 6870 ] simplifiying candidate # 1540196464.968 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt (sqrt k))) (* (log n) (- 1/2 (/ k 2))))) 1540196464.968 * * [misc]simplify: iters left: 6 (16 enodes) 1540196464.971 * * [misc]simplify: iters left: 5 (27 enodes) 1540196464.974 * * [misc]simplify: iters left: 4 (51 enodes) 1540196464.986 * * [misc]simplify: iters left: 3 (116 enodes) 1540196465.045 * * [misc]simplify: iters left: 2 (397 enodes) 1540196465.205 * [exit]simplify: Simplified to (- (* (+ (log n) (log PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1540196465.205 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (+ (log n) (log PI)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196465.205 * * * * [misc]progress: [ 75 / 6870 ] simplifiying candidate # 1540196465.206 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt (sqrt k))) (log (pow n (- 1/2 (/ k 2)))))) 1540196465.206 * * [misc]simplify: iters left: 6 (16 enodes) 1540196465.209 * * [misc]simplify: iters left: 5 (28 enodes) 1540196465.214 * * [misc]simplify: iters left: 4 (45 enodes) 1540196465.221 * * [misc]simplify: iters left: 3 (81 enodes) 1540196465.242 * * [misc]simplify: iters left: 2 (243 enodes) 1540196465.375 * [exit]simplify: Simplified to (- (* (+ (log PI) (log n)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) 1540196465.376 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (+ (log PI) (log n)) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196465.376 * * * * [misc]progress: [ 76 / 6870 ] simplifiying candidate # 1540196465.376 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196465.376 * * [misc]simplify: iters left: 6 (15 enodes) 1540196465.381 * * [misc]simplify: iters left: 5 (24 enodes) 1540196465.387 * * [misc]simplify: iters left: 4 (35 enodes) 1540196465.396 * * [misc]simplify: iters left: 3 (54 enodes) 1540196465.420 * * [misc]simplify: iters left: 2 (126 enodes) 1540196465.471 * * [misc]simplify: iters left: 1 (354 enodes) 1540196465.674 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log n))) (log (sqrt (sqrt k)))) 1540196465.674 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log n))) (log (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196465.674 * * * * [misc]progress: [ 77 / 6870 ] simplifiying candidate # 1540196465.674 * * * * [misc]progress: [ 78 / 6870 ] simplifiying candidate # 1540196465.674 * * * * [misc]progress: [ 79 / 6870 ] simplifiying candidate # 1540196465.675 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))))) 1540196465.675 * * [misc]simplify: iters left: 6 (19 enodes) 1540196465.678 * * [misc]simplify: iters left: 5 (35 enodes) 1540196465.685 * * [misc]simplify: iters left: 4 (110 enodes) 1540196465.718 * * [misc]simplify: iters left: 3 (405 enodes) 1540196466.571 * [exit]simplify: Simplified to (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))))) 1540196466.571 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196466.571 * * * * [misc]progress: [ 80 / 6870 ] simplifiying candidate # 1540196466.572 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196466.572 * * [misc]simplify: iters left: 6 (17 enodes) 1540196466.577 * * [misc]simplify: iters left: 5 (34 enodes) 1540196466.589 * * [misc]simplify: iters left: 4 (91 enodes) 1540196466.625 * * [misc]simplify: iters left: 3 (263 enodes) 1540196466.835 * [exit]simplify: Simplified to (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow n (- 1/2 (/ k 2)))))) 1540196466.835 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (cbrt (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196466.835 * * * * [misc]progress: [ 81 / 6870 ] simplifiying candidate # 1540196466.835 * * * * [misc]progress: [ 82 / 6870 ] simplifiying candidate # 1540196466.835 * * * * [misc]progress: [ 83 / 6870 ] simplifiying candidate # 1540196466.835 * * * * [misc]progress: [ 84 / 6870 ] simplifiying candidate # 1540196466.835 * * * * [misc]progress: [ 85 / 6870 ] simplifiying candidate # 1540196466.835 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196466.836 * * [misc]simplify: iters left: 6 (15 enodes) 1540196466.838 * * [misc]simplify: iters left: 5 (20 enodes) 1540196466.840 * * [misc]simplify: iters left: 4 (23 enodes) 1540196466.844 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196466.844 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196466.844 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196466.844 * * [misc]simplify: iters left: 6 (15 enodes) 1540196466.846 * * [misc]simplify: iters left: 5 (18 enodes) 1540196466.850 * * [misc]simplify: iters left: 4 (19 enodes) 1540196466.854 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196466.855 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196466.855 * * * * [misc]progress: [ 86 / 6870 ] simplifiying candidate # 1540196466.855 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196466.855 * * [misc]simplify: iters left: 6 (14 enodes) 1540196466.859 * * [misc]simplify: iters left: 5 (17 enodes) 1540196466.864 * * [misc]simplify: iters left: 4 (20 enodes) 1540196466.869 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196466.869 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196466.869 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196466.870 * * [misc]simplify: iters left: 6 (15 enodes) 1540196466.874 * * [misc]simplify: iters left: 5 (18 enodes) 1540196466.878 * * [misc]simplify: iters left: 4 (19 enodes) 1540196466.883 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196466.883 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196466.883 * * * * [misc]progress: [ 87 / 6870 ] simplifiying candidate # 1540196466.884 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540196466.884 * * [misc]simplify: iters left: 6 (12 enodes) 1540196466.887 * * [misc]simplify: iters left: 5 (18 enodes) 1540196466.892 * * [misc]simplify: iters left: 4 (25 enodes) 1540196466.898 * * [misc]simplify: iters left: 3 (37 enodes) 1540196466.906 * * [misc]simplify: iters left: 2 (42 enodes) 1540196466.917 * * [misc]simplify: iters left: 1 (49 enodes) 1540196466.929 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540196466.929 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196466.929 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196466.929 * * [misc]simplify: iters left: 6 (13 enodes) 1540196466.933 * * [misc]simplify: iters left: 5 (17 enodes) 1540196466.937 * * [misc]simplify: iters left: 4 (20 enodes) 1540196466.942 * * [misc]simplify: iters left: 3 (22 enodes) 1540196466.948 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196466.948 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196466.948 * * * * [misc]progress: [ 88 / 6870 ] simplifiying candidate # 1540196466.949 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540196466.949 * * [misc]simplify: iters left: 6 (12 enodes) 1540196466.952 * * [misc]simplify: iters left: 5 (18 enodes) 1540196466.957 * * [misc]simplify: iters left: 4 (25 enodes) 1540196466.964 * * [misc]simplify: iters left: 3 (37 enodes) 1540196466.974 * * [misc]simplify: iters left: 2 (42 enodes) 1540196466.984 * * [misc]simplify: iters left: 1 (49 enodes) 1540196466.992 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540196466.992 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196466.993 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196466.993 * * [misc]simplify: iters left: 6 (13 enodes) 1540196466.994 * * [misc]simplify: iters left: 5 (17 enodes) 1540196466.997 * * [misc]simplify: iters left: 4 (20 enodes) 1540196466.999 * * [misc]simplify: iters left: 3 (22 enodes) 1540196467.002 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196467.002 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.002 * * * * [misc]progress: [ 89 / 6870 ] simplifiying candidate # 1540196467.002 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196467.003 * * [misc]simplify: iters left: 6 (17 enodes) 1540196467.005 * * [misc]simplify: iters left: 5 (28 enodes) 1540196467.009 * * [misc]simplify: iters left: 4 (49 enodes) 1540196467.016 * * [misc]simplify: iters left: 3 (72 enodes) 1540196467.028 * * [misc]simplify: iters left: 2 (102 enodes) 1540196467.060 * * [misc]simplify: iters left: 1 (125 enodes) 1540196467.102 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196467.102 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.102 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196467.102 * * [misc]simplify: iters left: 6 (16 enodes) 1540196467.104 * * [misc]simplify: iters left: 5 (21 enodes) 1540196467.107 * * [misc]simplify: iters left: 4 (25 enodes) 1540196467.110 * * [misc]simplify: iters left: 3 (27 enodes) 1540196467.114 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196467.114 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.114 * * * * [misc]progress: [ 90 / 6870 ] simplifiying candidate # 1540196467.114 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196467.114 * * [misc]simplify: iters left: 6 (16 enodes) 1540196467.116 * * [misc]simplify: iters left: 5 (23 enodes) 1540196467.119 * * [misc]simplify: iters left: 4 (33 enodes) 1540196467.129 * * [misc]simplify: iters left: 3 (45 enodes) 1540196467.141 * * [misc]simplify: iters left: 2 (50 enodes) 1540196467.153 * * [misc]simplify: iters left: 1 (57 enodes) 1540196467.164 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) 1540196467.164 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.164 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196467.164 * * [misc]simplify: iters left: 6 (16 enodes) 1540196467.166 * * [misc]simplify: iters left: 5 (21 enodes) 1540196467.169 * * [misc]simplify: iters left: 4 (25 enodes) 1540196467.172 * * [misc]simplify: iters left: 3 (27 enodes) 1540196467.176 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196467.176 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.176 * * * * [misc]progress: [ 91 / 6870 ] simplifiying candidate # 1540196467.176 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196467.176 * * [misc]simplify: iters left: 6 (11 enodes) 1540196467.178 * * [misc]simplify: iters left: 5 (18 enodes) 1540196467.181 * * [misc]simplify: iters left: 4 (29 enodes) 1540196467.184 * * [misc]simplify: iters left: 3 (34 enodes) 1540196467.187 * * [misc]simplify: iters left: 2 (49 enodes) 1540196467.195 * * [misc]simplify: iters left: 1 (63 enodes) 1540196467.204 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196467.204 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.204 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196467.205 * * [misc]simplify: iters left: 6 (15 enodes) 1540196467.207 * * [misc]simplify: iters left: 5 (20 enodes) 1540196467.209 * * [misc]simplify: iters left: 4 (24 enodes) 1540196467.212 * * [misc]simplify: iters left: 3 (26 enodes) 1540196467.216 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) 1540196467.216 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.216 * * * * [misc]progress: [ 92 / 6870 ] simplifiying candidate # 1540196467.216 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540196467.216 * * [misc]simplify: iters left: 6 (12 enodes) 1540196467.218 * * [misc]simplify: iters left: 5 (17 enodes) 1540196467.220 * * [misc]simplify: iters left: 4 (20 enodes) 1540196467.223 * * [misc]simplify: iters left: 3 (22 enodes) 1540196467.225 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540196467.225 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.225 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196467.225 * * [misc]simplify: iters left: 6 (13 enodes) 1540196467.227 * * [misc]simplify: iters left: 5 (17 enodes) 1540196467.230 * * [misc]simplify: iters left: 4 (20 enodes) 1540196467.232 * * [misc]simplify: iters left: 3 (22 enodes) 1540196467.235 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540196467.235 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.235 * * * * [misc]progress: [ 93 / 6870 ] simplifiying candidate # 1540196467.236 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540196467.236 * * [misc]simplify: iters left: 6 (12 enodes) 1540196467.237 * * [misc]simplify: iters left: 5 (17 enodes) 1540196467.240 * * [misc]simplify: iters left: 4 (20 enodes) 1540196467.243 * * [misc]simplify: iters left: 3 (22 enodes) 1540196467.245 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540196467.245 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.245 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196467.246 * * [misc]simplify: iters left: 6 (13 enodes) 1540196467.247 * * [misc]simplify: iters left: 5 (17 enodes) 1540196467.250 * * [misc]simplify: iters left: 4 (20 enodes) 1540196467.252 * * [misc]simplify: iters left: 3 (22 enodes) 1540196467.255 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540196467.255 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.255 * * * * [misc]progress: [ 94 / 6870 ] simplifiying candidate # 1540196467.256 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196467.256 * * [misc]simplify: iters left: 6 (17 enodes) 1540196467.258 * * [misc]simplify: iters left: 5 (25 enodes) 1540196467.262 * * [misc]simplify: iters left: 4 (33 enodes) 1540196467.272 * * [misc]simplify: iters left: 3 (42 enodes) 1540196467.284 * * [misc]simplify: iters left: 2 (50 enodes) 1540196467.295 * * [misc]simplify: iters left: 1 (52 enodes) 1540196467.310 * [exit]simplify: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196467.310 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.310 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196467.310 * * [misc]simplify: iters left: 6 (16 enodes) 1540196467.313 * * [misc]simplify: iters left: 5 (21 enodes) 1540196467.316 * * [misc]simplify: iters left: 4 (25 enodes) 1540196467.319 * * [misc]simplify: iters left: 3 (27 enodes) 1540196467.322 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196467.322 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.323 * * * * [misc]progress: [ 95 / 6870 ] simplifiying candidate # 1540196467.323 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196467.323 * * [misc]simplify: iters left: 6 (16 enodes) 1540196467.325 * * [misc]simplify: iters left: 5 (22 enodes) 1540196467.328 * * [misc]simplify: iters left: 4 (28 enodes) 1540196467.331 * * [misc]simplify: iters left: 3 (30 enodes) 1540196467.335 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196467.335 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.335 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196467.335 * * [misc]simplify: iters left: 6 (16 enodes) 1540196467.337 * * [misc]simplify: iters left: 5 (21 enodes) 1540196467.341 * * [misc]simplify: iters left: 4 (25 enodes) 1540196467.348 * * [misc]simplify: iters left: 3 (27 enodes) 1540196467.355 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196467.355 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.355 * * * * [misc]progress: [ 96 / 6870 ] simplifiying candidate # 1540196467.355 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196467.355 * * [misc]simplify: iters left: 6 (11 enodes) 1540196467.359 * * [misc]simplify: iters left: 5 (16 enodes) 1540196467.364 * * [misc]simplify: iters left: 4 (20 enodes) 1540196467.368 * * [misc]simplify: iters left: 3 (24 enodes) 1540196467.374 * * [misc]simplify: iters left: 2 (26 enodes) 1540196467.379 * * [misc]simplify: iters left: 1 (29 enodes) 1540196467.386 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540196467.386 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.387 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196467.387 * * [misc]simplify: iters left: 6 (15 enodes) 1540196467.392 * * [misc]simplify: iters left: 5 (20 enodes) 1540196467.398 * * [misc]simplify: iters left: 4 (24 enodes) 1540196467.405 * * [misc]simplify: iters left: 3 (26 enodes) 1540196467.412 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) 1540196467.412 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.412 * * * * [misc]progress: [ 97 / 6870 ] simplifiying candidate # 1540196467.412 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196467.412 * * [misc]simplify: iters left: 6 (11 enodes) 1540196467.416 * * [misc]simplify: iters left: 5 (15 enodes) 1540196467.420 * * [misc]simplify: iters left: 4 (18 enodes) 1540196467.425 * * [misc]simplify: iters left: 3 (20 enodes) 1540196467.430 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196467.430 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.430 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196467.430 * * [misc]simplify: iters left: 6 (13 enodes) 1540196467.434 * * [misc]simplify: iters left: 5 (17 enodes) 1540196467.439 * * [misc]simplify: iters left: 4 (20 enodes) 1540196467.444 * * [misc]simplify: iters left: 3 (22 enodes) 1540196467.450 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196467.450 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.450 * * * * [misc]progress: [ 98 / 6870 ] simplifiying candidate # 1540196467.450 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196467.450 * * [misc]simplify: iters left: 6 (11 enodes) 1540196467.453 * * [misc]simplify: iters left: 5 (15 enodes) 1540196467.457 * * [misc]simplify: iters left: 4 (18 enodes) 1540196467.461 * * [misc]simplify: iters left: 3 (20 enodes) 1540196467.466 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196467.466 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.466 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196467.467 * * [misc]simplify: iters left: 6 (13 enodes) 1540196467.470 * * [misc]simplify: iters left: 5 (17 enodes) 1540196467.475 * * [misc]simplify: iters left: 4 (20 enodes) 1540196467.480 * * [misc]simplify: iters left: 3 (22 enodes) 1540196467.485 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196467.485 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.485 * * * * [misc]progress: [ 99 / 6870 ] simplifiying candidate # 1540196467.486 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196467.486 * * [misc]simplify: iters left: 6 (16 enodes) 1540196467.490 * * [misc]simplify: iters left: 5 (23 enodes) 1540196467.496 * * [misc]simplify: iters left: 4 (31 enodes) 1540196467.505 * * [misc]simplify: iters left: 3 (40 enodes) 1540196467.516 * * [misc]simplify: iters left: 2 (48 enodes) 1540196467.527 * * [misc]simplify: iters left: 1 (50 enodes) 1540196467.541 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540196467.541 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.541 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196467.541 * * [misc]simplify: iters left: 6 (16 enodes) 1540196467.546 * * [misc]simplify: iters left: 5 (21 enodes) 1540196467.551 * * [misc]simplify: iters left: 4 (25 enodes) 1540196467.558 * * [misc]simplify: iters left: 3 (27 enodes) 1540196467.565 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196467.565 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.565 * * * * [misc]progress: [ 100 / 6870 ] simplifiying candidate # 1540196467.565 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196467.565 * * [misc]simplify: iters left: 6 (15 enodes) 1540196467.570 * * [misc]simplify: iters left: 5 (20 enodes) 1540196467.575 * * [misc]simplify: iters left: 4 (26 enodes) 1540196467.582 * * [misc]simplify: iters left: 3 (28 enodes) 1540196467.586 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196467.586 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.586 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196467.586 * * [misc]simplify: iters left: 6 (16 enodes) 1540196467.588 * * [misc]simplify: iters left: 5 (21 enodes) 1540196467.591 * * [misc]simplify: iters left: 4 (25 enodes) 1540196467.594 * * [misc]simplify: iters left: 3 (27 enodes) 1540196467.597 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196467.597 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.597 * * * * [misc]progress: [ 101 / 6870 ] simplifiying candidate # 1540196467.598 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196467.598 * * [misc]simplify: iters left: 6 (10 enodes) 1540196467.599 * * [misc]simplify: iters left: 5 (15 enodes) 1540196467.601 * * [misc]simplify: iters left: 4 (22 enodes) 1540196467.604 * * [misc]simplify: iters left: 3 (24 enodes) 1540196467.606 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196467.606 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.606 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196467.606 * * [misc]simplify: iters left: 6 (15 enodes) 1540196467.608 * * [misc]simplify: iters left: 5 (20 enodes) 1540196467.611 * * [misc]simplify: iters left: 4 (24 enodes) 1540196467.614 * * [misc]simplify: iters left: 3 (26 enodes) 1540196467.617 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) 1540196467.617 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.617 * * * * [misc]progress: [ 102 / 6870 ] simplifiying candidate # 1540196467.617 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) 1540196467.617 * * [misc]simplify: iters left: 5 (9 enodes) 1540196467.619 * * [misc]simplify: iters left: 4 (15 enodes) 1540196467.623 * * [misc]simplify: iters left: 3 (17 enodes) 1540196467.627 * * [misc]simplify: iters left: 2 (25 enodes) 1540196467.634 * * [misc]simplify: iters left: 1 (35 enodes) 1540196467.641 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540196467.641 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt n) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.641 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196467.641 * * [misc]simplify: iters left: 6 (12 enodes) 1540196467.645 * * [misc]simplify: iters left: 5 (16 enodes) 1540196467.651 * * [misc]simplify: iters left: 4 (19 enodes) 1540196467.656 * * [misc]simplify: iters left: 3 (21 enodes) 1540196467.661 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540196467.661 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt n) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.662 * * * * [misc]progress: [ 103 / 6870 ] simplifiying candidate # 1540196467.662 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) 1540196467.662 * * [misc]simplify: iters left: 5 (9 enodes) 1540196467.665 * * [misc]simplify: iters left: 4 (15 enodes) 1540196467.669 * * [misc]simplify: iters left: 3 (17 enodes) 1540196467.673 * * [misc]simplify: iters left: 2 (25 enodes) 1540196467.680 * * [misc]simplify: iters left: 1 (35 enodes) 1540196467.687 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540196467.687 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt n) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.688 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196467.688 * * [misc]simplify: iters left: 6 (12 enodes) 1540196467.691 * * [misc]simplify: iters left: 5 (16 enodes) 1540196467.695 * * [misc]simplify: iters left: 4 (19 enodes) 1540196467.699 * * [misc]simplify: iters left: 3 (21 enodes) 1540196467.704 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540196467.704 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt n) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.705 * * * * [misc]progress: [ 104 / 6870 ] simplifiying candidate # 1540196467.705 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196467.705 * * [misc]simplify: iters left: 6 (15 enodes) 1540196467.710 * * [misc]simplify: iters left: 5 (24 enodes) 1540196467.715 * * [misc]simplify: iters left: 4 (32 enodes) 1540196467.723 * * [misc]simplify: iters left: 3 (45 enodes) 1540196467.734 * * [misc]simplify: iters left: 2 (70 enodes) 1540196467.757 * * [misc]simplify: iters left: 1 (96 enodes) 1540196467.781 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540196467.781 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.781 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196467.781 * * [misc]simplify: iters left: 6 (15 enodes) 1540196467.783 * * [misc]simplify: iters left: 5 (20 enodes) 1540196467.787 * * [misc]simplify: iters left: 4 (24 enodes) 1540196467.790 * * [misc]simplify: iters left: 3 (26 enodes) 1540196467.793 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196467.793 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.793 * * * * [misc]progress: [ 105 / 6870 ] simplifiying candidate # 1540196467.793 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196467.793 * * [misc]simplify: iters left: 6 (14 enodes) 1540196467.796 * * [misc]simplify: iters left: 5 (21 enodes) 1540196467.798 * * [misc]simplify: iters left: 4 (26 enodes) 1540196467.801 * * [misc]simplify: iters left: 3 (34 enodes) 1540196467.806 * * [misc]simplify: iters left: 2 (44 enodes) 1540196467.810 * * [misc]simplify: iters left: 1 (47 enodes) 1540196467.815 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196467.815 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.815 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196467.815 * * [misc]simplify: iters left: 6 (15 enodes) 1540196467.817 * * [misc]simplify: iters left: 5 (20 enodes) 1540196467.820 * * [misc]simplify: iters left: 4 (24 enodes) 1540196467.823 * * [misc]simplify: iters left: 3 (26 enodes) 1540196467.826 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196467.826 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.826 * * * * [misc]progress: [ 106 / 6870 ] simplifiying candidate # 1540196467.826 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) 1)) 1540196467.826 * * [misc]simplify: iters left: 5 (7 enodes) 1540196467.828 * * [misc]simplify: iters left: 4 (12 enodes) 1540196467.830 * [exit]simplify: Simplified to (sqrt PI) 1540196467.830 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.830 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196467.830 * * [misc]simplify: iters left: 6 (14 enodes) 1540196467.832 * * [misc]simplify: iters left: 5 (19 enodes) 1540196467.834 * * [misc]simplify: iters left: 4 (23 enodes) 1540196467.840 * * [misc]simplify: iters left: 3 (25 enodes) 1540196467.846 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196467.846 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.846 * * * * [misc]progress: [ 107 / 6870 ] simplifiying candidate # 1540196467.846 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196467.847 * * [misc]simplify: iters left: 6 (11 enodes) 1540196467.850 * * [misc]simplify: iters left: 5 (15 enodes) 1540196467.853 * * [misc]simplify: iters left: 4 (18 enodes) 1540196467.858 * * [misc]simplify: iters left: 3 (20 enodes) 1540196467.863 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196467.863 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.863 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196467.863 * * [misc]simplify: iters left: 6 (13 enodes) 1540196467.867 * * [misc]simplify: iters left: 5 (17 enodes) 1540196467.872 * * [misc]simplify: iters left: 4 (20 enodes) 1540196467.877 * * [misc]simplify: iters left: 3 (22 enodes) 1540196467.885 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196467.885 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.885 * * * * [misc]progress: [ 108 / 6870 ] simplifiying candidate # 1540196467.885 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196467.885 * * [misc]simplify: iters left: 6 (11 enodes) 1540196467.888 * * [misc]simplify: iters left: 5 (15 enodes) 1540196467.892 * * [misc]simplify: iters left: 4 (18 enodes) 1540196467.897 * * [misc]simplify: iters left: 3 (20 enodes) 1540196467.902 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196467.902 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.902 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196467.902 * * [misc]simplify: iters left: 6 (13 enodes) 1540196467.906 * * [misc]simplify: iters left: 5 (17 enodes) 1540196467.911 * * [misc]simplify: iters left: 4 (20 enodes) 1540196467.916 * * [misc]simplify: iters left: 3 (22 enodes) 1540196467.921 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196467.921 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.921 * * * * [misc]progress: [ 109 / 6870 ] simplifiying candidate # 1540196467.921 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196467.921 * * [misc]simplify: iters left: 6 (16 enodes) 1540196467.923 * * [misc]simplify: iters left: 5 (23 enodes) 1540196467.927 * * [misc]simplify: iters left: 4 (31 enodes) 1540196467.931 * * [misc]simplify: iters left: 3 (40 enodes) 1540196467.936 * * [misc]simplify: iters left: 2 (48 enodes) 1540196467.942 * * [misc]simplify: iters left: 1 (50 enodes) 1540196467.949 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540196467.949 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.949 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196467.949 * * [misc]simplify: iters left: 6 (16 enodes) 1540196467.954 * * [misc]simplify: iters left: 5 (21 enodes) 1540196467.960 * * [misc]simplify: iters left: 4 (25 enodes) 1540196467.966 * * [misc]simplify: iters left: 3 (27 enodes) 1540196467.973 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196467.973 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.973 * * * * [misc]progress: [ 110 / 6870 ] simplifiying candidate # 1540196467.974 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196467.974 * * [misc]simplify: iters left: 6 (15 enodes) 1540196467.978 * * [misc]simplify: iters left: 5 (20 enodes) 1540196467.984 * * [misc]simplify: iters left: 4 (26 enodes) 1540196467.991 * * [misc]simplify: iters left: 3 (28 enodes) 1540196467.998 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196467.998 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196467.998 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196467.998 * * [misc]simplify: iters left: 6 (16 enodes) 1540196468.004 * * [misc]simplify: iters left: 5 (21 enodes) 1540196468.009 * * [misc]simplify: iters left: 4 (25 enodes) 1540196468.016 * * [misc]simplify: iters left: 3 (27 enodes) 1540196468.022 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196468.023 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.023 * * * * [misc]progress: [ 111 / 6870 ] simplifiying candidate # 1540196468.023 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196468.023 * * [misc]simplify: iters left: 6 (10 enodes) 1540196468.026 * * [misc]simplify: iters left: 5 (15 enodes) 1540196468.031 * * [misc]simplify: iters left: 4 (22 enodes) 1540196468.036 * * [misc]simplify: iters left: 3 (24 enodes) 1540196468.041 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196468.041 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.042 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196468.042 * * [misc]simplify: iters left: 6 (15 enodes) 1540196468.046 * * [misc]simplify: iters left: 5 (20 enodes) 1540196468.052 * * [misc]simplify: iters left: 4 (24 enodes) 1540196468.058 * * [misc]simplify: iters left: 3 (26 enodes) 1540196468.065 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) 1540196468.066 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.066 * * * * [misc]progress: [ 112 / 6870 ] simplifiying candidate # 1540196468.066 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1540196468.066 * * [misc]simplify: iters left: 5 (8 enodes) 1540196468.069 * * [misc]simplify: iters left: 4 (14 enodes) 1540196468.072 * * [misc]simplify: iters left: 3 (16 enodes) 1540196468.076 * * [misc]simplify: iters left: 2 (25 enodes) 1540196468.082 * * [misc]simplify: iters left: 1 (28 enodes) 1540196468.087 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540196468.088 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.088 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196468.088 * * [misc]simplify: iters left: 6 (12 enodes) 1540196468.091 * * [misc]simplify: iters left: 5 (16 enodes) 1540196468.093 * * [misc]simplify: iters left: 4 (19 enodes) 1540196468.096 * * [misc]simplify: iters left: 3 (21 enodes) 1540196468.099 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540196468.099 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.099 * * * * [misc]progress: [ 113 / 6870 ] simplifiying candidate # 1540196468.099 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1540196468.099 * * [misc]simplify: iters left: 5 (8 enodes) 1540196468.100 * * [misc]simplify: iters left: 4 (14 enodes) 1540196468.102 * * [misc]simplify: iters left: 3 (16 enodes) 1540196468.106 * * [misc]simplify: iters left: 2 (25 enodes) 1540196468.112 * * [misc]simplify: iters left: 1 (28 enodes) 1540196468.118 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540196468.118 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.119 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196468.119 * * [misc]simplify: iters left: 6 (12 enodes) 1540196468.122 * * [misc]simplify: iters left: 5 (16 enodes) 1540196468.127 * * [misc]simplify: iters left: 4 (19 enodes) 1540196468.132 * * [misc]simplify: iters left: 3 (21 enodes) 1540196468.137 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540196468.137 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.137 * * * * [misc]progress: [ 114 / 6870 ] simplifiying candidate # 1540196468.138 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196468.138 * * [misc]simplify: iters left: 6 (14 enodes) 1540196468.143 * * [misc]simplify: iters left: 5 (23 enodes) 1540196468.149 * * [misc]simplify: iters left: 4 (30 enodes) 1540196468.158 * * [misc]simplify: iters left: 3 (45 enodes) 1540196468.172 * * [misc]simplify: iters left: 2 (60 enodes) 1540196468.189 * * [misc]simplify: iters left: 1 (74 enodes) 1540196468.215 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196468.215 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.215 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196468.215 * * [misc]simplify: iters left: 6 (15 enodes) 1540196468.220 * * [misc]simplify: iters left: 5 (20 enodes) 1540196468.225 * * [misc]simplify: iters left: 4 (24 enodes) 1540196468.231 * * [misc]simplify: iters left: 3 (26 enodes) 1540196468.237 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196468.237 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.237 * * * * [misc]progress: [ 115 / 6870 ] simplifiying candidate # 1540196468.238 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196468.238 * * [misc]simplify: iters left: 6 (13 enodes) 1540196468.242 * * [misc]simplify: iters left: 5 (20 enodes) 1540196468.247 * * [misc]simplify: iters left: 4 (25 enodes) 1540196468.253 * * [misc]simplify: iters left: 3 (34 enodes) 1540196468.260 * * [misc]simplify: iters left: 2 (37 enodes) 1540196468.269 * * [misc]simplify: iters left: 1 (40 enodes) 1540196468.278 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) 1540196468.278 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.279 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196468.279 * * [misc]simplify: iters left: 6 (15 enodes) 1540196468.283 * * [misc]simplify: iters left: 5 (20 enodes) 1540196468.289 * * [misc]simplify: iters left: 4 (24 enodes) 1540196468.296 * * [misc]simplify: iters left: 3 (26 enodes) 1540196468.302 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196468.302 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.303 * * * * [misc]progress: [ 116 / 6870 ] simplifiying candidate # 1540196468.303 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1540196468.303 * * [misc]simplify: iters left: 4 (6 enodes) 1540196468.305 * * [misc]simplify: iters left: 3 (9 enodes) 1540196468.307 * [exit]simplify: Simplified to (sqrt PI) 1540196468.307 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.307 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196468.307 * * [misc]simplify: iters left: 6 (14 enodes) 1540196468.311 * * [misc]simplify: iters left: 5 (19 enodes) 1540196468.317 * * [misc]simplify: iters left: 4 (23 enodes) 1540196468.323 * * [misc]simplify: iters left: 3 (25 enodes) 1540196468.330 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196468.330 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.330 * * * * [misc]progress: [ 117 / 6870 ] simplifiying candidate # 1540196468.330 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1540196468.330 * * [misc]simplify: iters left: 3 (5 enodes) 1540196468.332 * * [misc]simplify: iters left: 2 (8 enodes) 1540196468.334 * * [misc]simplify: iters left: 1 (10 enodes) 1540196468.336 * [exit]simplify: Simplified to (sqrt PI) 1540196468.336 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.336 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196468.336 * * [misc]simplify: iters left: 6 (14 enodes) 1540196468.340 * * [misc]simplify: iters left: 5 (19 enodes) 1540196468.346 * * [misc]simplify: iters left: 4 (23 enodes) 1540196468.352 * * [misc]simplify: iters left: 3 (25 enodes) 1540196468.358 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196468.358 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.359 * * * * [misc]progress: [ 118 / 6870 ] simplifiying candidate # 1540196468.359 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (sqrt k))) 1540196468.359 * * [misc]simplify: iters left: 4 (7 enodes) 1540196468.361 * * [misc]simplify: iters left: 3 (8 enodes) 1540196468.363 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196468.363 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.363 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540196468.364 * * [misc]simplify: iters left: 6 (13 enodes) 1540196468.367 * * [misc]simplify: iters left: 5 (20 enodes) 1540196468.373 * * [misc]simplify: iters left: 4 (24 enodes) 1540196468.381 * * [misc]simplify: iters left: 3 (34 enodes) 1540196468.390 * * [misc]simplify: iters left: 2 (36 enodes) 1540196468.397 * * [misc]simplify: iters left: 1 (41 enodes) 1540196468.405 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1540196468.405 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.405 * * * * [misc]progress: [ 119 / 6870 ] simplifiying candidate # 1540196468.405 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) 1540196468.405 * * [misc]simplify: iters left: 6 (10 enodes) 1540196468.407 * * [misc]simplify: iters left: 5 (14 enodes) 1540196468.409 * * [misc]simplify: iters left: 4 (17 enodes) 1540196468.411 * * [misc]simplify: iters left: 3 (19 enodes) 1540196468.413 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540196468.413 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.414 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) 1540196468.414 * * [misc]simplify: iters left: 6 (9 enodes) 1540196468.415 * * [misc]simplify: iters left: 5 (11 enodes) 1540196468.417 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) 1540196468.417 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (pow PI (/ (- k) 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.417 * * * * [misc]progress: [ 120 / 6870 ] simplifiying candidate # 1540196468.418 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196468.418 * * [misc]simplify: iters left: 6 (15 enodes) 1540196468.420 * * [misc]simplify: iters left: 5 (20 enodes) 1540196468.423 * * [misc]simplify: iters left: 4 (23 enodes) 1540196468.427 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196468.427 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.427 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196468.427 * * [misc]simplify: iters left: 6 (15 enodes) 1540196468.429 * * [misc]simplify: iters left: 5 (18 enodes) 1540196468.432 * * [misc]simplify: iters left: 4 (19 enodes) 1540196468.434 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196468.434 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.435 * * * * [misc]progress: [ 121 / 6870 ] simplifiying candidate # 1540196468.435 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196468.435 * * [misc]simplify: iters left: 6 (14 enodes) 1540196468.437 * * [misc]simplify: iters left: 5 (17 enodes) 1540196468.439 * * [misc]simplify: iters left: 4 (20 enodes) 1540196468.441 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196468.441 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.442 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196468.442 * * [misc]simplify: iters left: 6 (15 enodes) 1540196468.444 * * [misc]simplify: iters left: 5 (18 enodes) 1540196468.446 * * [misc]simplify: iters left: 4 (19 enodes) 1540196468.449 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196468.449 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.449 * * * * [misc]progress: [ 122 / 6870 ] simplifiying candidate # 1540196468.449 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540196468.449 * * [misc]simplify: iters left: 6 (12 enodes) 1540196468.451 * * [misc]simplify: iters left: 5 (18 enodes) 1540196468.453 * * [misc]simplify: iters left: 4 (25 enodes) 1540196468.458 * * [misc]simplify: iters left: 3 (37 enodes) 1540196468.468 * * [misc]simplify: iters left: 2 (42 enodes) 1540196468.475 * * [misc]simplify: iters left: 1 (49 enodes) 1540196468.481 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540196468.481 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.481 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196468.481 * * [misc]simplify: iters left: 6 (13 enodes) 1540196468.483 * * [misc]simplify: iters left: 5 (17 enodes) 1540196468.485 * * [misc]simplify: iters left: 4 (20 enodes) 1540196468.488 * * [misc]simplify: iters left: 3 (22 enodes) 1540196468.491 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196468.491 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.491 * * * * [misc]progress: [ 123 / 6870 ] simplifiying candidate # 1540196468.491 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540196468.491 * * [misc]simplify: iters left: 6 (12 enodes) 1540196468.493 * * [misc]simplify: iters left: 5 (18 enodes) 1540196468.495 * * [misc]simplify: iters left: 4 (25 enodes) 1540196468.499 * * [misc]simplify: iters left: 3 (37 enodes) 1540196468.508 * * [misc]simplify: iters left: 2 (42 enodes) 1540196468.519 * * [misc]simplify: iters left: 1 (49 enodes) 1540196468.529 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540196468.530 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.530 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196468.530 * * [misc]simplify: iters left: 6 (13 enodes) 1540196468.532 * * [misc]simplify: iters left: 5 (17 enodes) 1540196468.534 * * [misc]simplify: iters left: 4 (20 enodes) 1540196468.536 * * [misc]simplify: iters left: 3 (22 enodes) 1540196468.540 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196468.540 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.540 * * * * [misc]progress: [ 124 / 6870 ] simplifiying candidate # 1540196468.540 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196468.540 * * [misc]simplify: iters left: 6 (17 enodes) 1540196468.543 * * [misc]simplify: iters left: 5 (28 enodes) 1540196468.547 * * [misc]simplify: iters left: 4 (49 enodes) 1540196468.554 * * [misc]simplify: iters left: 3 (72 enodes) 1540196468.565 * * [misc]simplify: iters left: 2 (102 enodes) 1540196468.581 * * [misc]simplify: iters left: 1 (125 enodes) 1540196468.612 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196468.612 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.612 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196468.612 * * [misc]simplify: iters left: 6 (16 enodes) 1540196468.615 * * [misc]simplify: iters left: 5 (21 enodes) 1540196468.618 * * [misc]simplify: iters left: 4 (25 enodes) 1540196468.621 * * [misc]simplify: iters left: 3 (27 enodes) 1540196468.626 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196468.626 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.626 * * * * [misc]progress: [ 125 / 6870 ] simplifiying candidate # 1540196468.627 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196468.627 * * [misc]simplify: iters left: 6 (16 enodes) 1540196468.632 * * [misc]simplify: iters left: 5 (23 enodes) 1540196468.639 * * [misc]simplify: iters left: 4 (33 enodes) 1540196468.648 * * [misc]simplify: iters left: 3 (45 enodes) 1540196468.653 * * [misc]simplify: iters left: 2 (50 enodes) 1540196468.659 * * [misc]simplify: iters left: 1 (57 enodes) 1540196468.666 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) 1540196468.666 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.666 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196468.666 * * [misc]simplify: iters left: 6 (16 enodes) 1540196468.669 * * [misc]simplify: iters left: 5 (21 enodes) 1540196468.671 * * [misc]simplify: iters left: 4 (25 enodes) 1540196468.674 * * [misc]simplify: iters left: 3 (27 enodes) 1540196468.678 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196468.678 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.678 * * * * [misc]progress: [ 126 / 6870 ] simplifiying candidate # 1540196468.678 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196468.678 * * [misc]simplify: iters left: 6 (11 enodes) 1540196468.680 * * [misc]simplify: iters left: 5 (18 enodes) 1540196468.683 * * [misc]simplify: iters left: 4 (29 enodes) 1540196468.691 * * [misc]simplify: iters left: 3 (34 enodes) 1540196468.698 * * [misc]simplify: iters left: 2 (49 enodes) 1540196468.712 * * [misc]simplify: iters left: 1 (63 enodes) 1540196468.726 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196468.726 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.727 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196468.727 * * [misc]simplify: iters left: 6 (15 enodes) 1540196468.729 * * [misc]simplify: iters left: 5 (20 enodes) 1540196468.731 * * [misc]simplify: iters left: 4 (24 enodes) 1540196468.734 * * [misc]simplify: iters left: 3 (26 enodes) 1540196468.737 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) 1540196468.737 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.737 * * * * [misc]progress: [ 127 / 6870 ] simplifiying candidate # 1540196468.738 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540196468.738 * * [misc]simplify: iters left: 6 (12 enodes) 1540196468.739 * * [misc]simplify: iters left: 5 (17 enodes) 1540196468.741 * * [misc]simplify: iters left: 4 (20 enodes) 1540196468.744 * * [misc]simplify: iters left: 3 (22 enodes) 1540196468.746 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540196468.746 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.747 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196468.747 * * [misc]simplify: iters left: 6 (13 enodes) 1540196468.748 * * [misc]simplify: iters left: 5 (17 enodes) 1540196468.751 * * [misc]simplify: iters left: 4 (20 enodes) 1540196468.753 * * [misc]simplify: iters left: 3 (22 enodes) 1540196468.756 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540196468.756 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.756 * * * * [misc]progress: [ 128 / 6870 ] simplifiying candidate # 1540196468.756 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540196468.756 * * [misc]simplify: iters left: 6 (12 enodes) 1540196468.758 * * [misc]simplify: iters left: 5 (17 enodes) 1540196468.760 * * [misc]simplify: iters left: 4 (20 enodes) 1540196468.762 * * [misc]simplify: iters left: 3 (22 enodes) 1540196468.767 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540196468.767 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.767 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196468.767 * * [misc]simplify: iters left: 6 (13 enodes) 1540196468.771 * * [misc]simplify: iters left: 5 (17 enodes) 1540196468.775 * * [misc]simplify: iters left: 4 (20 enodes) 1540196468.781 * * [misc]simplify: iters left: 3 (22 enodes) 1540196468.786 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540196468.786 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.786 * * * * [misc]progress: [ 129 / 6870 ] simplifiying candidate # 1540196468.787 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196468.787 * * [misc]simplify: iters left: 6 (17 enodes) 1540196468.792 * * [misc]simplify: iters left: 5 (25 enodes) 1540196468.800 * * [misc]simplify: iters left: 4 (33 enodes) 1540196468.810 * * [misc]simplify: iters left: 3 (42 enodes) 1540196468.821 * * [misc]simplify: iters left: 2 (50 enodes) 1540196468.830 * * [misc]simplify: iters left: 1 (52 enodes) 1540196468.837 * [exit]simplify: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196468.837 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.837 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196468.837 * * [misc]simplify: iters left: 6 (16 enodes) 1540196468.839 * * [misc]simplify: iters left: 5 (21 enodes) 1540196468.842 * * [misc]simplify: iters left: 4 (25 enodes) 1540196468.845 * * [misc]simplify: iters left: 3 (27 enodes) 1540196468.848 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196468.848 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.848 * * * * [misc]progress: [ 130 / 6870 ] simplifiying candidate # 1540196468.848 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196468.848 * * [misc]simplify: iters left: 6 (16 enodes) 1540196468.851 * * [misc]simplify: iters left: 5 (22 enodes) 1540196468.854 * * [misc]simplify: iters left: 4 (28 enodes) 1540196468.857 * * [misc]simplify: iters left: 3 (30 enodes) 1540196468.860 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196468.860 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.861 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196468.861 * * [misc]simplify: iters left: 6 (16 enodes) 1540196468.863 * * [misc]simplify: iters left: 5 (21 enodes) 1540196468.866 * * [misc]simplify: iters left: 4 (25 enodes) 1540196468.869 * * [misc]simplify: iters left: 3 (27 enodes) 1540196468.872 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196468.872 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.872 * * * * [misc]progress: [ 131 / 6870 ] simplifiying candidate # 1540196468.873 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196468.873 * * [misc]simplify: iters left: 6 (11 enodes) 1540196468.874 * * [misc]simplify: iters left: 5 (16 enodes) 1540196468.877 * * [misc]simplify: iters left: 4 (20 enodes) 1540196468.879 * * [misc]simplify: iters left: 3 (24 enodes) 1540196468.882 * * [misc]simplify: iters left: 2 (26 enodes) 1540196468.887 * * [misc]simplify: iters left: 1 (29 enodes) 1540196468.893 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540196468.893 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.894 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196468.894 * * [misc]simplify: iters left: 6 (15 enodes) 1540196468.898 * * [misc]simplify: iters left: 5 (20 enodes) 1540196468.901 * * [misc]simplify: iters left: 4 (24 enodes) 1540196468.905 * * [misc]simplify: iters left: 3 (26 enodes) 1540196468.908 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) 1540196468.908 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.908 * * * * [misc]progress: [ 132 / 6870 ] simplifiying candidate # 1540196468.908 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196468.909 * * [misc]simplify: iters left: 6 (11 enodes) 1540196468.910 * * [misc]simplify: iters left: 5 (15 enodes) 1540196468.912 * * [misc]simplify: iters left: 4 (18 enodes) 1540196468.914 * * [misc]simplify: iters left: 3 (20 enodes) 1540196468.917 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196468.917 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.917 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196468.917 * * [misc]simplify: iters left: 6 (13 enodes) 1540196468.919 * * [misc]simplify: iters left: 5 (17 enodes) 1540196468.921 * * [misc]simplify: iters left: 4 (20 enodes) 1540196468.924 * * [misc]simplify: iters left: 3 (22 enodes) 1540196468.926 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196468.926 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.927 * * * * [misc]progress: [ 133 / 6870 ] simplifiying candidate # 1540196468.927 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196468.927 * * [misc]simplify: iters left: 6 (11 enodes) 1540196468.930 * * [misc]simplify: iters left: 5 (15 enodes) 1540196468.934 * * [misc]simplify: iters left: 4 (18 enodes) 1540196468.939 * * [misc]simplify: iters left: 3 (20 enodes) 1540196468.943 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196468.944 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.944 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196468.944 * * [misc]simplify: iters left: 6 (13 enodes) 1540196468.946 * * [misc]simplify: iters left: 5 (17 enodes) 1540196468.948 * * [misc]simplify: iters left: 4 (20 enodes) 1540196468.950 * * [misc]simplify: iters left: 3 (22 enodes) 1540196468.953 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196468.953 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.953 * * * * [misc]progress: [ 134 / 6870 ] simplifiying candidate # 1540196468.954 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196468.954 * * [misc]simplify: iters left: 6 (16 enodes) 1540196468.956 * * [misc]simplify: iters left: 5 (23 enodes) 1540196468.959 * * [misc]simplify: iters left: 4 (31 enodes) 1540196468.963 * * [misc]simplify: iters left: 3 (40 enodes) 1540196468.974 * * [misc]simplify: iters left: 2 (48 enodes) 1540196468.986 * * [misc]simplify: iters left: 1 (50 enodes) 1540196468.998 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540196468.998 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196468.998 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196468.999 * * [misc]simplify: iters left: 6 (16 enodes) 1540196469.003 * * [misc]simplify: iters left: 5 (21 enodes) 1540196469.009 * * [misc]simplify: iters left: 4 (25 enodes) 1540196469.016 * * [misc]simplify: iters left: 3 (27 enodes) 1540196469.023 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196469.023 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.023 * * * * [misc]progress: [ 135 / 6870 ] simplifiying candidate # 1540196469.024 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196469.024 * * [misc]simplify: iters left: 6 (15 enodes) 1540196469.028 * * [misc]simplify: iters left: 5 (20 enodes) 1540196469.034 * * [misc]simplify: iters left: 4 (26 enodes) 1540196469.041 * * [misc]simplify: iters left: 3 (28 enodes) 1540196469.048 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196469.048 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.049 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196469.049 * * [misc]simplify: iters left: 6 (16 enodes) 1540196469.053 * * [misc]simplify: iters left: 5 (21 enodes) 1540196469.059 * * [misc]simplify: iters left: 4 (25 enodes) 1540196469.065 * * [misc]simplify: iters left: 3 (27 enodes) 1540196469.072 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196469.072 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.072 * * * * [misc]progress: [ 136 / 6870 ] simplifiying candidate # 1540196469.072 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196469.073 * * [misc]simplify: iters left: 6 (10 enodes) 1540196469.076 * * [misc]simplify: iters left: 5 (15 enodes) 1540196469.080 * * [misc]simplify: iters left: 4 (22 enodes) 1540196469.086 * * [misc]simplify: iters left: 3 (24 enodes) 1540196469.090 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196469.090 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.090 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196469.091 * * [misc]simplify: iters left: 6 (15 enodes) 1540196469.095 * * [misc]simplify: iters left: 5 (20 enodes) 1540196469.101 * * [misc]simplify: iters left: 4 (24 enodes) 1540196469.107 * * [misc]simplify: iters left: 3 (26 enodes) 1540196469.115 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) 1540196469.115 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.115 * * * * [misc]progress: [ 137 / 6870 ] simplifiying candidate # 1540196469.115 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) 1540196469.115 * * [misc]simplify: iters left: 5 (9 enodes) 1540196469.119 * * [misc]simplify: iters left: 4 (15 enodes) 1540196469.122 * * [misc]simplify: iters left: 3 (17 enodes) 1540196469.127 * * [misc]simplify: iters left: 2 (25 enodes) 1540196469.134 * * [misc]simplify: iters left: 1 (35 enodes) 1540196469.142 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540196469.142 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt n) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.143 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196469.143 * * [misc]simplify: iters left: 6 (12 enodes) 1540196469.146 * * [misc]simplify: iters left: 5 (16 enodes) 1540196469.151 * * [misc]simplify: iters left: 4 (19 enodes) 1540196469.156 * * [misc]simplify: iters left: 3 (21 enodes) 1540196469.158 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540196469.158 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt n) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.158 * * * * [misc]progress: [ 138 / 6870 ] simplifiying candidate # 1540196469.159 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) 1540196469.159 * * [misc]simplify: iters left: 5 (9 enodes) 1540196469.161 * * [misc]simplify: iters left: 4 (15 enodes) 1540196469.162 * * [misc]simplify: iters left: 3 (17 enodes) 1540196469.165 * * [misc]simplify: iters left: 2 (25 enodes) 1540196469.168 * * [misc]simplify: iters left: 1 (35 enodes) 1540196469.172 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540196469.172 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt n) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.172 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196469.172 * * [misc]simplify: iters left: 6 (12 enodes) 1540196469.174 * * [misc]simplify: iters left: 5 (16 enodes) 1540196469.176 * * [misc]simplify: iters left: 4 (19 enodes) 1540196469.179 * * [misc]simplify: iters left: 3 (21 enodes) 1540196469.181 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540196469.181 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt n) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.182 * * * * [misc]progress: [ 139 / 6870 ] simplifiying candidate # 1540196469.182 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196469.182 * * [misc]simplify: iters left: 6 (15 enodes) 1540196469.185 * * [misc]simplify: iters left: 5 (24 enodes) 1540196469.188 * * [misc]simplify: iters left: 4 (32 enodes) 1540196469.197 * * [misc]simplify: iters left: 3 (45 enodes) 1540196469.210 * * [misc]simplify: iters left: 2 (70 enodes) 1540196469.228 * * [misc]simplify: iters left: 1 (96 enodes) 1540196469.243 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540196469.243 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.243 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196469.243 * * [misc]simplify: iters left: 6 (15 enodes) 1540196469.245 * * [misc]simplify: iters left: 5 (20 enodes) 1540196469.248 * * [misc]simplify: iters left: 4 (24 enodes) 1540196469.251 * * [misc]simplify: iters left: 3 (26 enodes) 1540196469.254 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196469.254 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.254 * * * * [misc]progress: [ 140 / 6870 ] simplifiying candidate # 1540196469.254 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196469.254 * * [misc]simplify: iters left: 6 (14 enodes) 1540196469.257 * * [misc]simplify: iters left: 5 (21 enodes) 1540196469.259 * * [misc]simplify: iters left: 4 (26 enodes) 1540196469.263 * * [misc]simplify: iters left: 3 (34 enodes) 1540196469.272 * * [misc]simplify: iters left: 2 (44 enodes) 1540196469.281 * * [misc]simplify: iters left: 1 (47 enodes) 1540196469.287 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196469.287 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.287 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196469.287 * * [misc]simplify: iters left: 6 (15 enodes) 1540196469.289 * * [misc]simplify: iters left: 5 (20 enodes) 1540196469.292 * * [misc]simplify: iters left: 4 (24 enodes) 1540196469.295 * * [misc]simplify: iters left: 3 (26 enodes) 1540196469.298 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196469.298 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.298 * * * * [misc]progress: [ 141 / 6870 ] simplifiying candidate # 1540196469.298 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt 1) 1)) 1540196469.298 * * [misc]simplify: iters left: 5 (7 enodes) 1540196469.300 * * [misc]simplify: iters left: 4 (12 enodes) 1540196469.302 * [exit]simplify: Simplified to (sqrt PI) 1540196469.302 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.302 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196469.302 * * [misc]simplify: iters left: 6 (14 enodes) 1540196469.304 * * [misc]simplify: iters left: 5 (19 enodes) 1540196469.306 * * [misc]simplify: iters left: 4 (23 enodes) 1540196469.309 * * [misc]simplify: iters left: 3 (25 enodes) 1540196469.312 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196469.312 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.312 * * * * [misc]progress: [ 142 / 6870 ] simplifiying candidate # 1540196469.313 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196469.313 * * [misc]simplify: iters left: 6 (11 enodes) 1540196469.314 * * [misc]simplify: iters left: 5 (15 enodes) 1540196469.316 * * [misc]simplify: iters left: 4 (18 enodes) 1540196469.319 * * [misc]simplify: iters left: 3 (20 enodes) 1540196469.321 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196469.321 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.321 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196469.321 * * [misc]simplify: iters left: 6 (13 enodes) 1540196469.323 * * [misc]simplify: iters left: 5 (17 enodes) 1540196469.325 * * [misc]simplify: iters left: 4 (20 enodes) 1540196469.329 * * [misc]simplify: iters left: 3 (22 enodes) 1540196469.331 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196469.331 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.332 * * * * [misc]progress: [ 143 / 6870 ] simplifiying candidate # 1540196469.332 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196469.332 * * [misc]simplify: iters left: 6 (11 enodes) 1540196469.333 * * [misc]simplify: iters left: 5 (15 enodes) 1540196469.335 * * [misc]simplify: iters left: 4 (18 enodes) 1540196469.337 * * [misc]simplify: iters left: 3 (20 enodes) 1540196469.340 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196469.340 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.341 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196469.341 * * [misc]simplify: iters left: 6 (13 enodes) 1540196469.344 * * [misc]simplify: iters left: 5 (17 enodes) 1540196469.349 * * [misc]simplify: iters left: 4 (20 enodes) 1540196469.354 * * [misc]simplify: iters left: 3 (22 enodes) 1540196469.360 * [exit]simplify: Simplified to (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196469.360 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.360 * * * * [misc]progress: [ 144 / 6870 ] simplifiying candidate # 1540196469.361 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196469.361 * * [misc]simplify: iters left: 6 (16 enodes) 1540196469.365 * * [misc]simplify: iters left: 5 (23 enodes) 1540196469.372 * * [misc]simplify: iters left: 4 (31 enodes) 1540196469.381 * * [misc]simplify: iters left: 3 (40 enodes) 1540196469.392 * * [misc]simplify: iters left: 2 (48 enodes) 1540196469.397 * * [misc]simplify: iters left: 1 (50 enodes) 1540196469.403 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540196469.404 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.404 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196469.404 * * [misc]simplify: iters left: 6 (16 enodes) 1540196469.406 * * [misc]simplify: iters left: 5 (21 enodes) 1540196469.409 * * [misc]simplify: iters left: 4 (25 enodes) 1540196469.412 * * [misc]simplify: iters left: 3 (27 enodes) 1540196469.415 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196469.415 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.415 * * * * [misc]progress: [ 145 / 6870 ] simplifiying candidate # 1540196469.415 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196469.415 * * [misc]simplify: iters left: 6 (15 enodes) 1540196469.417 * * [misc]simplify: iters left: 5 (20 enodes) 1540196469.420 * * [misc]simplify: iters left: 4 (26 enodes) 1540196469.423 * * [misc]simplify: iters left: 3 (28 enodes) 1540196469.428 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196469.428 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.428 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196469.428 * * [misc]simplify: iters left: 6 (16 enodes) 1540196469.430 * * [misc]simplify: iters left: 5 (21 enodes) 1540196469.433 * * [misc]simplify: iters left: 4 (25 enodes) 1540196469.436 * * [misc]simplify: iters left: 3 (27 enodes) 1540196469.443 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196469.443 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.443 * * * * [misc]progress: [ 146 / 6870 ] simplifiying candidate # 1540196469.443 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196469.443 * * [misc]simplify: iters left: 6 (10 enodes) 1540196469.446 * * [misc]simplify: iters left: 5 (15 enodes) 1540196469.451 * * [misc]simplify: iters left: 4 (22 enodes) 1540196469.456 * * [misc]simplify: iters left: 3 (24 enodes) 1540196469.458 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196469.458 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.458 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196469.458 * * [misc]simplify: iters left: 6 (15 enodes) 1540196469.460 * * [misc]simplify: iters left: 5 (20 enodes) 1540196469.463 * * [misc]simplify: iters left: 4 (24 enodes) 1540196469.466 * * [misc]simplify: iters left: 3 (26 enodes) 1540196469.469 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) 1540196469.469 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.469 * * * * [misc]progress: [ 147 / 6870 ] simplifiying candidate # 1540196469.469 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1540196469.469 * * [misc]simplify: iters left: 5 (8 enodes) 1540196469.471 * * [misc]simplify: iters left: 4 (14 enodes) 1540196469.472 * * [misc]simplify: iters left: 3 (16 enodes) 1540196469.475 * * [misc]simplify: iters left: 2 (25 enodes) 1540196469.478 * * [misc]simplify: iters left: 1 (28 enodes) 1540196469.481 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540196469.481 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.481 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196469.481 * * [misc]simplify: iters left: 6 (12 enodes) 1540196469.483 * * [misc]simplify: iters left: 5 (16 enodes) 1540196469.485 * * [misc]simplify: iters left: 4 (19 enodes) 1540196469.487 * * [misc]simplify: iters left: 3 (21 enodes) 1540196469.490 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540196469.490 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.490 * * * * [misc]progress: [ 148 / 6870 ] simplifiying candidate # 1540196469.490 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1540196469.490 * * [misc]simplify: iters left: 5 (8 enodes) 1540196469.492 * * [misc]simplify: iters left: 4 (14 enodes) 1540196469.493 * * [misc]simplify: iters left: 3 (16 enodes) 1540196469.496 * * [misc]simplify: iters left: 2 (25 enodes) 1540196469.502 * * [misc]simplify: iters left: 1 (28 enodes) 1540196469.508 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540196469.508 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.509 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196469.509 * * [misc]simplify: iters left: 6 (12 enodes) 1540196469.512 * * [misc]simplify: iters left: 5 (16 enodes) 1540196469.517 * * [misc]simplify: iters left: 4 (19 enodes) 1540196469.522 * * [misc]simplify: iters left: 3 (21 enodes) 1540196469.528 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2))) 1540196469.528 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt PI) (sqrt n)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow n (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.528 * * * * [misc]progress: [ 149 / 6870 ] simplifiying candidate # 1540196469.529 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196469.529 * * [misc]simplify: iters left: 6 (14 enodes) 1540196469.533 * * [misc]simplify: iters left: 5 (23 enodes) 1540196469.540 * * [misc]simplify: iters left: 4 (30 enodes) 1540196469.549 * * [misc]simplify: iters left: 3 (45 enodes) 1540196469.562 * * [misc]simplify: iters left: 2 (60 enodes) 1540196469.579 * * [misc]simplify: iters left: 1 (74 enodes) 1540196469.603 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196469.603 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.604 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196469.604 * * [misc]simplify: iters left: 6 (15 enodes) 1540196469.608 * * [misc]simplify: iters left: 5 (20 enodes) 1540196469.613 * * [misc]simplify: iters left: 4 (24 enodes) 1540196469.620 * * [misc]simplify: iters left: 3 (26 enodes) 1540196469.626 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196469.626 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.626 * * * * [misc]progress: [ 150 / 6870 ] simplifiying candidate # 1540196469.627 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196469.627 * * [misc]simplify: iters left: 6 (13 enodes) 1540196469.630 * * [misc]simplify: iters left: 5 (20 enodes) 1540196469.636 * * [misc]simplify: iters left: 4 (25 enodes) 1540196469.643 * * [misc]simplify: iters left: 3 (34 enodes) 1540196469.651 * * [misc]simplify: iters left: 2 (37 enodes) 1540196469.660 * * [misc]simplify: iters left: 1 (40 enodes) 1540196469.669 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) 1540196469.669 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.669 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196469.669 * * [misc]simplify: iters left: 6 (15 enodes) 1540196469.675 * * [misc]simplify: iters left: 5 (20 enodes) 1540196469.681 * * [misc]simplify: iters left: 4 (24 enodes) 1540196469.687 * * [misc]simplify: iters left: 3 (26 enodes) 1540196469.693 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196469.694 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.694 * * * * [misc]progress: [ 151 / 6870 ] simplifiying candidate # 1540196469.694 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1540196469.694 * * [misc]simplify: iters left: 4 (6 enodes) 1540196469.696 * * [misc]simplify: iters left: 3 (9 enodes) 1540196469.698 * [exit]simplify: Simplified to (sqrt PI) 1540196469.698 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.699 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196469.699 * * [misc]simplify: iters left: 6 (14 enodes) 1540196469.704 * * [misc]simplify: iters left: 5 (19 enodes) 1540196469.708 * * [misc]simplify: iters left: 4 (23 enodes) 1540196469.713 * * [misc]simplify: iters left: 3 (25 enodes) 1540196469.719 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196469.719 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.719 * * * * [misc]progress: [ 152 / 6870 ] simplifiying candidate # 1540196469.719 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1540196469.720 * * [misc]simplify: iters left: 3 (5 enodes) 1540196469.721 * * [misc]simplify: iters left: 2 (8 enodes) 1540196469.723 * * [misc]simplify: iters left: 1 (10 enodes) 1540196469.724 * [exit]simplify: Simplified to (sqrt PI) 1540196469.725 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.725 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196469.725 * * [misc]simplify: iters left: 6 (14 enodes) 1540196469.728 * * [misc]simplify: iters left: 5 (19 enodes) 1540196469.733 * * [misc]simplify: iters left: 4 (23 enodes) 1540196469.738 * * [misc]simplify: iters left: 3 (25 enodes) 1540196469.743 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196469.743 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.744 * * * * [misc]progress: [ 153 / 6870 ] simplifiying candidate # 1540196469.744 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (sqrt k))) 1540196469.744 * * [misc]simplify: iters left: 4 (7 enodes) 1540196469.746 * * [misc]simplify: iters left: 3 (8 enodes) 1540196469.748 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196469.748 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.748 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540196469.748 * * [misc]simplify: iters left: 6 (13 enodes) 1540196469.751 * * [misc]simplify: iters left: 5 (20 enodes) 1540196469.756 * * [misc]simplify: iters left: 4 (24 enodes) 1540196469.762 * * [misc]simplify: iters left: 3 (34 enodes) 1540196469.769 * * [misc]simplify: iters left: 2 (36 enodes) 1540196469.775 * * [misc]simplify: iters left: 1 (41 enodes) 1540196469.782 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1540196469.782 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt PI) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.783 * * * * [misc]progress: [ 154 / 6870 ] simplifiying candidate # 1540196469.783 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) 1540196469.783 * * [misc]simplify: iters left: 6 (10 enodes) 1540196469.785 * * [misc]simplify: iters left: 5 (14 enodes) 1540196469.788 * * [misc]simplify: iters left: 4 (17 enodes) 1540196469.792 * * [misc]simplify: iters left: 3 (19 enodes) 1540196469.796 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540196469.796 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.796 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) 1540196469.796 * * [misc]simplify: iters left: 6 (9 enodes) 1540196469.797 * * [misc]simplify: iters left: 5 (11 enodes) 1540196469.799 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) 1540196469.799 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (pow PI (/ (- k) 2)) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.799 * * * * [misc]progress: [ 155 / 6870 ] simplifiying candidate # 1540196469.799 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196469.799 * * [misc]simplify: iters left: 6 (17 enodes) 1540196469.802 * * [misc]simplify: iters left: 5 (25 enodes) 1540196469.806 * * [misc]simplify: iters left: 4 (37 enodes) 1540196469.811 * * [misc]simplify: iters left: 3 (40 enodes) 1540196469.816 * * [misc]simplify: iters left: 2 (43 enodes) 1540196469.821 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196469.821 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.822 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196469.822 * * [misc]simplify: iters left: 6 (15 enodes) 1540196469.824 * * [misc]simplify: iters left: 5 (17 enodes) 1540196469.826 * * [misc]simplify: iters left: 4 (20 enodes) 1540196469.829 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196469.829 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.829 * * * * [misc]progress: [ 156 / 6870 ] simplifiying candidate # 1540196469.829 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196469.829 * * [misc]simplify: iters left: 6 (16 enodes) 1540196469.831 * * [misc]simplify: iters left: 5 (20 enodes) 1540196469.834 * * [misc]simplify: iters left: 4 (25 enodes) 1540196469.837 * * [misc]simplify: iters left: 3 (26 enodes) 1540196469.841 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196469.841 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.841 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196469.841 * * [misc]simplify: iters left: 6 (15 enodes) 1540196469.843 * * [misc]simplify: iters left: 5 (17 enodes) 1540196469.845 * * [misc]simplify: iters left: 4 (20 enodes) 1540196469.848 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196469.848 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.848 * * * * [misc]progress: [ 157 / 6870 ] simplifiying candidate # 1540196469.848 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540196469.848 * * [misc]simplify: iters left: 6 (17 enodes) 1540196469.851 * * [misc]simplify: iters left: 5 (26 enodes) 1540196469.854 * * [misc]simplify: iters left: 4 (44 enodes) 1540196469.861 * * [misc]simplify: iters left: 3 (85 enodes) 1540196469.876 * * [misc]simplify: iters left: 2 (134 enodes) 1540196469.902 * * [misc]simplify: iters left: 1 (163 enodes) 1540196469.932 * [exit]simplify: Simplified to (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196469.932 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.932 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196469.932 * * [misc]simplify: iters left: 6 (16 enodes) 1540196469.934 * * [misc]simplify: iters left: 5 (21 enodes) 1540196469.937 * * [misc]simplify: iters left: 4 (25 enodes) 1540196469.943 * * [misc]simplify: iters left: 3 (27 enodes) 1540196469.950 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196469.950 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196469.950 * * * * [misc]progress: [ 158 / 6870 ] simplifiying candidate # 1540196469.951 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540196469.951 * * [misc]simplify: iters left: 6 (17 enodes) 1540196469.956 * * [misc]simplify: iters left: 5 (26 enodes) 1540196469.962 * * [misc]simplify: iters left: 4 (44 enodes) 1540196469.969 * * [misc]simplify: iters left: 3 (85 enodes) 1540196469.984 * * [misc]simplify: iters left: 2 (134 enodes) 1540196470.027 * * [misc]simplify: iters left: 1 (163 enodes) 1540196470.067 * [exit]simplify: Simplified to (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196470.067 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196470.067 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196470.067 * * [misc]simplify: iters left: 6 (16 enodes) 1540196470.072 * * [misc]simplify: iters left: 5 (21 enodes) 1540196470.078 * * [misc]simplify: iters left: 4 (25 enodes) 1540196470.084 * * [misc]simplify: iters left: 3 (27 enodes) 1540196470.091 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196470.091 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196470.091 * * * * [misc]progress: [ 159 / 6870 ] simplifiying candidate # 1540196470.092 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196470.092 * * [misc]simplify: iters left: 6 (19 enodes) 1540196470.098 * * [misc]simplify: iters left: 5 (31 enodes) 1540196470.108 * * [misc]simplify: iters left: 4 (65 enodes) 1540196470.131 * * [misc]simplify: iters left: 3 (136 enodes) 1540196470.166 * * [misc]simplify: iters left: 2 (267 enodes) 1540196470.297 * * [misc]simplify: iters left: 1 (386 enodes) 1540196470.486 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) 1540196470.486 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196470.487 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196470.487 * * [misc]simplify: iters left: 6 (16 enodes) 1540196470.491 * * [misc]simplify: iters left: 5 (20 enodes) 1540196470.497 * * [misc]simplify: iters left: 4 (26 enodes) 1540196470.505 * * [misc]simplify: iters left: 3 (28 enodes) 1540196470.513 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196470.513 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196470.513 * * * * [misc]progress: [ 160 / 6870 ] simplifiying candidate # 1540196470.514 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196470.514 * * [misc]simplify: iters left: 6 (18 enodes) 1540196470.520 * * [misc]simplify: iters left: 5 (26 enodes) 1540196470.528 * * [misc]simplify: iters left: 4 (44 enodes) 1540196470.542 * * [misc]simplify: iters left: 3 (85 enodes) 1540196470.572 * * [misc]simplify: iters left: 2 (134 enodes) 1540196470.627 * * [misc]simplify: iters left: 1 (163 enodes) 1540196470.663 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196470.663 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196470.663 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196470.663 * * [misc]simplify: iters left: 6 (16 enodes) 1540196470.668 * * [misc]simplify: iters left: 5 (20 enodes) 1540196470.673 * * [misc]simplify: iters left: 4 (26 enodes) 1540196470.680 * * [misc]simplify: iters left: 3 (28 enodes) 1540196470.683 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196470.683 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196470.683 * * * * [misc]progress: [ 161 / 6870 ] simplifiying candidate # 1540196470.684 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196470.684 * * [misc]simplify: iters left: 6 (16 enodes) 1540196470.686 * * [misc]simplify: iters left: 5 (26 enodes) 1540196470.691 * * [misc]simplify: iters left: 4 (47 enodes) 1540196470.698 * * [misc]simplify: iters left: 3 (90 enodes) 1540196470.727 * * [misc]simplify: iters left: 2 (271 enodes) 1540196470.947 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196470.947 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196470.948 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196470.948 * * [misc]simplify: iters left: 6 (15 enodes) 1540196470.952 * * [misc]simplify: iters left: 5 (19 enodes) 1540196470.957 * * [misc]simplify: iters left: 4 (25 enodes) 1540196470.963 * * [misc]simplify: iters left: 3 (27 enodes) 1540196470.970 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196470.970 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196470.970 * * * * [misc]progress: [ 162 / 6870 ] simplifiying candidate # 1540196470.970 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540196470.970 * * [misc]simplify: iters left: 6 (17 enodes) 1540196470.975 * * [misc]simplify: iters left: 5 (25 enodes) 1540196470.983 * * [misc]simplify: iters left: 4 (35 enodes) 1540196470.992 * * [misc]simplify: iters left: 3 (47 enodes) 1540196471.005 * * [misc]simplify: iters left: 2 (59 enodes) 1540196471.020 * * [misc]simplify: iters left: 1 (65 enodes) 1540196471.040 * [exit]simplify: Simplified to (/ (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196471.040 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.041 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196471.041 * * [misc]simplify: iters left: 6 (16 enodes) 1540196471.045 * * [misc]simplify: iters left: 5 (21 enodes) 1540196471.051 * * [misc]simplify: iters left: 4 (25 enodes) 1540196471.057 * * [misc]simplify: iters left: 3 (27 enodes) 1540196471.062 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196471.062 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.062 * * * * [misc]progress: [ 163 / 6870 ] simplifiying candidate # 1540196471.062 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540196471.062 * * [misc]simplify: iters left: 6 (17 enodes) 1540196471.064 * * [misc]simplify: iters left: 5 (25 enodes) 1540196471.068 * * [misc]simplify: iters left: 4 (35 enodes) 1540196471.072 * * [misc]simplify: iters left: 3 (47 enodes) 1540196471.078 * * [misc]simplify: iters left: 2 (59 enodes) 1540196471.085 * * [misc]simplify: iters left: 1 (65 enodes) 1540196471.097 * [exit]simplify: Simplified to (/ (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196471.097 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.097 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196471.097 * * [misc]simplify: iters left: 6 (16 enodes) 1540196471.102 * * [misc]simplify: iters left: 5 (21 enodes) 1540196471.108 * * [misc]simplify: iters left: 4 (25 enodes) 1540196471.114 * * [misc]simplify: iters left: 3 (27 enodes) 1540196471.121 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196471.121 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.122 * * * * [misc]progress: [ 164 / 6870 ] simplifiying candidate # 1540196471.122 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196471.122 * * [misc]simplify: iters left: 6 (19 enodes) 1540196471.128 * * [misc]simplify: iters left: 5 (28 enodes) 1540196471.138 * * [misc]simplify: iters left: 4 (42 enodes) 1540196471.151 * * [misc]simplify: iters left: 3 (68 enodes) 1540196471.171 * * [misc]simplify: iters left: 2 (107 enodes) 1540196471.210 * * [misc]simplify: iters left: 1 (140 enodes) 1540196471.244 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) 1540196471.244 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.244 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196471.244 * * [misc]simplify: iters left: 6 (16 enodes) 1540196471.249 * * [misc]simplify: iters left: 5 (20 enodes) 1540196471.254 * * [misc]simplify: iters left: 4 (26 enodes) 1540196471.262 * * [misc]simplify: iters left: 3 (28 enodes) 1540196471.269 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196471.269 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.270 * * * * [misc]progress: [ 165 / 6870 ] simplifiying candidate # 1540196471.270 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196471.270 * * [misc]simplify: iters left: 6 (18 enodes) 1540196471.275 * * [misc]simplify: iters left: 5 (25 enodes) 1540196471.282 * * [misc]simplify: iters left: 4 (35 enodes) 1540196471.292 * * [misc]simplify: iters left: 3 (47 enodes) 1540196471.305 * * [misc]simplify: iters left: 2 (59 enodes) 1540196471.314 * * [misc]simplify: iters left: 1 (65 enodes) 1540196471.324 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196471.324 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.324 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196471.324 * * [misc]simplify: iters left: 6 (16 enodes) 1540196471.326 * * [misc]simplify: iters left: 5 (20 enodes) 1540196471.329 * * [misc]simplify: iters left: 4 (26 enodes) 1540196471.332 * * [misc]simplify: iters left: 3 (28 enodes) 1540196471.336 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196471.336 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.336 * * * * [misc]progress: [ 166 / 6870 ] simplifiying candidate # 1540196471.336 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196471.336 * * [misc]simplify: iters left: 6 (16 enodes) 1540196471.338 * * [misc]simplify: iters left: 5 (24 enodes) 1540196471.342 * * [misc]simplify: iters left: 4 (34 enodes) 1540196471.346 * * [misc]simplify: iters left: 3 (49 enodes) 1540196471.354 * * [misc]simplify: iters left: 2 (61 enodes) 1540196471.362 * * [misc]simplify: iters left: 1 (64 enodes) 1540196471.373 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540196471.373 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.373 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196471.373 * * [misc]simplify: iters left: 6 (15 enodes) 1540196471.375 * * [misc]simplify: iters left: 5 (19 enodes) 1540196471.378 * * [misc]simplify: iters left: 4 (25 enodes) 1540196471.381 * * [misc]simplify: iters left: 3 (27 enodes) 1540196471.384 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196471.384 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.385 * * * * [misc]progress: [ 167 / 6870 ] simplifiying candidate # 1540196471.385 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196471.385 * * [misc]simplify: iters left: 6 (16 enodes) 1540196471.387 * * [misc]simplify: iters left: 5 (23 enodes) 1540196471.390 * * [misc]simplify: iters left: 4 (33 enodes) 1540196471.395 * * [misc]simplify: iters left: 3 (45 enodes) 1540196471.401 * * [misc]simplify: iters left: 2 (57 enodes) 1540196471.416 * * [misc]simplify: iters left: 1 (63 enodes) 1540196471.433 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540196471.433 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.434 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196471.434 * * [misc]simplify: iters left: 6 (16 enodes) 1540196471.438 * * [misc]simplify: iters left: 5 (21 enodes) 1540196471.444 * * [misc]simplify: iters left: 4 (25 enodes) 1540196471.450 * * [misc]simplify: iters left: 3 (27 enodes) 1540196471.457 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196471.457 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.457 * * * * [misc]progress: [ 168 / 6870 ] simplifiying candidate # 1540196471.458 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196471.458 * * [misc]simplify: iters left: 6 (16 enodes) 1540196471.462 * * [misc]simplify: iters left: 5 (23 enodes) 1540196471.470 * * [misc]simplify: iters left: 4 (33 enodes) 1540196471.479 * * [misc]simplify: iters left: 3 (45 enodes) 1540196471.490 * * [misc]simplify: iters left: 2 (57 enodes) 1540196471.505 * * [misc]simplify: iters left: 1 (63 enodes) 1540196471.519 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540196471.519 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.519 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196471.519 * * [misc]simplify: iters left: 6 (16 enodes) 1540196471.522 * * [misc]simplify: iters left: 5 (21 enodes) 1540196471.524 * * [misc]simplify: iters left: 4 (25 enodes) 1540196471.527 * * [misc]simplify: iters left: 3 (27 enodes) 1540196471.531 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196471.531 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.531 * * * * [misc]progress: [ 169 / 6870 ] simplifiying candidate # 1540196471.531 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196471.531 * * [misc]simplify: iters left: 6 (18 enodes) 1540196471.534 * * [misc]simplify: iters left: 5 (26 enodes) 1540196471.538 * * [misc]simplify: iters left: 4 (40 enodes) 1540196471.544 * * [misc]simplify: iters left: 3 (66 enodes) 1540196471.561 * * [misc]simplify: iters left: 2 (105 enodes) 1540196471.590 * * [misc]simplify: iters left: 1 (136 enodes) 1540196471.612 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt (sqrt k)))) 1540196471.612 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.612 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196471.612 * * [misc]simplify: iters left: 6 (16 enodes) 1540196471.614 * * [misc]simplify: iters left: 5 (20 enodes) 1540196471.617 * * [misc]simplify: iters left: 4 (26 enodes) 1540196471.620 * * [misc]simplify: iters left: 3 (28 enodes) 1540196471.624 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196471.624 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.624 * * * * [misc]progress: [ 170 / 6870 ] simplifiying candidate # 1540196471.624 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196471.624 * * [misc]simplify: iters left: 6 (17 enodes) 1540196471.626 * * [misc]simplify: iters left: 5 (23 enodes) 1540196471.629 * * [misc]simplify: iters left: 4 (33 enodes) 1540196471.636 * * [misc]simplify: iters left: 3 (45 enodes) 1540196471.647 * * [misc]simplify: iters left: 2 (57 enodes) 1540196471.663 * * [misc]simplify: iters left: 1 (63 enodes) 1540196471.681 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196471.681 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.681 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196471.681 * * [misc]simplify: iters left: 6 (16 enodes) 1540196471.684 * * [misc]simplify: iters left: 5 (20 enodes) 1540196471.687 * * [misc]simplify: iters left: 4 (26 enodes) 1540196471.690 * * [misc]simplify: iters left: 3 (28 enodes) 1540196471.693 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196471.693 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.693 * * * * [misc]progress: [ 171 / 6870 ] simplifiying candidate # 1540196471.694 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196471.694 * * [misc]simplify: iters left: 6 (15 enodes) 1540196471.696 * * [misc]simplify: iters left: 5 (23 enodes) 1540196471.699 * * [misc]simplify: iters left: 4 (34 enodes) 1540196471.703 * * [misc]simplify: iters left: 3 (45 enodes) 1540196471.708 * * [misc]simplify: iters left: 2 (46 enodes) 1540196471.712 * * [misc]simplify: iters left: 1 (52 enodes) 1540196471.718 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196471.718 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.719 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196471.719 * * [misc]simplify: iters left: 6 (15 enodes) 1540196471.722 * * [misc]simplify: iters left: 5 (19 enodes) 1540196471.728 * * [misc]simplify: iters left: 4 (25 enodes) 1540196471.734 * * [misc]simplify: iters left: 3 (27 enodes) 1540196471.741 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196471.741 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.741 * * * * [misc]progress: [ 172 / 6870 ] simplifiying candidate # 1540196471.742 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow n 1/2))) 1540196471.742 * * [misc]simplify: iters left: 6 (15 enodes) 1540196471.747 * * [misc]simplify: iters left: 5 (24 enodes) 1540196471.754 * * [misc]simplify: iters left: 4 (34 enodes) 1540196471.763 * * [misc]simplify: iters left: 3 (49 enodes) 1540196471.778 * * [misc]simplify: iters left: 2 (76 enodes) 1540196471.804 * * [misc]simplify: iters left: 1 (159 enodes) 1540196471.871 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196471.872 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.872 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196471.872 * * [misc]simplify: iters left: 6 (15 enodes) 1540196471.874 * * [misc]simplify: iters left: 5 (20 enodes) 1540196471.877 * * [misc]simplify: iters left: 4 (24 enodes) 1540196471.880 * * [misc]simplify: iters left: 3 (26 enodes) 1540196471.883 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540196471.883 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.883 * * * * [misc]progress: [ 173 / 6870 ] simplifiying candidate # 1540196471.883 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt 1) (pow n 1/2))) 1540196471.883 * * [misc]simplify: iters left: 6 (15 enodes) 1540196471.886 * * [misc]simplify: iters left: 5 (24 enodes) 1540196471.889 * * [misc]simplify: iters left: 4 (34 enodes) 1540196471.895 * * [misc]simplify: iters left: 3 (49 enodes) 1540196471.902 * * [misc]simplify: iters left: 2 (76 enodes) 1540196471.915 * * [misc]simplify: iters left: 1 (159 enodes) 1540196471.950 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196471.950 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.950 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196471.950 * * [misc]simplify: iters left: 6 (15 enodes) 1540196471.955 * * [misc]simplify: iters left: 5 (20 enodes) 1540196471.960 * * [misc]simplify: iters left: 4 (24 enodes) 1540196471.966 * * [misc]simplify: iters left: 3 (26 enodes) 1540196471.973 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540196471.973 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196471.973 * * * * [misc]progress: [ 174 / 6870 ] simplifiying candidate # 1540196471.973 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196471.973 * * [misc]simplify: iters left: 6 (17 enodes) 1540196471.979 * * [misc]simplify: iters left: 5 (27 enodes) 1540196471.988 * * [misc]simplify: iters left: 4 (42 enodes) 1540196472.000 * * [misc]simplify: iters left: 3 (69 enodes) 1540196472.016 * * [misc]simplify: iters left: 2 (154 enodes) 1540196472.091 * * [misc]simplify: iters left: 1 (416 enodes) 1540196472.374 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196472.374 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.375 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196472.375 * * [misc]simplify: iters left: 6 (15 enodes) 1540196472.379 * * [misc]simplify: iters left: 5 (19 enodes) 1540196472.384 * * [misc]simplify: iters left: 4 (25 enodes) 1540196472.391 * * [misc]simplify: iters left: 3 (27 enodes) 1540196472.398 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196472.398 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.398 * * * * [misc]progress: [ 175 / 6870 ] simplifiying candidate # 1540196472.398 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196472.399 * * [misc]simplify: iters left: 6 (16 enodes) 1540196472.404 * * [misc]simplify: iters left: 5 (24 enodes) 1540196472.410 * * [misc]simplify: iters left: 4 (34 enodes) 1540196472.420 * * [misc]simplify: iters left: 3 (49 enodes) 1540196472.434 * * [misc]simplify: iters left: 2 (76 enodes) 1540196472.452 * * [misc]simplify: iters left: 1 (140 enodes) 1540196472.482 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196472.482 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.483 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196472.483 * * [misc]simplify: iters left: 6 (15 enodes) 1540196472.488 * * [misc]simplify: iters left: 5 (19 enodes) 1540196472.493 * * [misc]simplify: iters left: 4 (25 enodes) 1540196472.499 * * [misc]simplify: iters left: 3 (27 enodes) 1540196472.506 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196472.506 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.506 * * * * [misc]progress: [ 176 / 6870 ] simplifiying candidate # 1540196472.507 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt 1) 1)) 1540196472.507 * * [misc]simplify: iters left: 6 (13 enodes) 1540196472.511 * * [misc]simplify: iters left: 5 (21 enodes) 1540196472.517 * * [misc]simplify: iters left: 4 (24 enodes) 1540196472.523 * * [misc]simplify: iters left: 3 (33 enodes) 1540196472.531 * * [misc]simplify: iters left: 2 (38 enodes) 1540196472.540 * * [misc]simplify: iters left: 1 (49 enodes) 1540196472.555 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196472.555 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.555 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196472.556 * * [misc]simplify: iters left: 6 (14 enodes) 1540196472.559 * * [misc]simplify: iters left: 5 (18 enodes) 1540196472.564 * * [misc]simplify: iters left: 4 (24 enodes) 1540196472.571 * * [misc]simplify: iters left: 3 (26 enodes) 1540196472.577 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196472.577 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.578 * * * * [misc]progress: [ 177 / 6870 ] simplifiying candidate # 1540196472.578 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196472.578 * * [misc]simplify: iters left: 6 (16 enodes) 1540196472.583 * * [misc]simplify: iters left: 5 (23 enodes) 1540196472.589 * * [misc]simplify: iters left: 4 (33 enodes) 1540196472.600 * * [misc]simplify: iters left: 3 (45 enodes) 1540196472.611 * * [misc]simplify: iters left: 2 (57 enodes) 1540196472.624 * * [misc]simplify: iters left: 1 (63 enodes) 1540196472.634 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540196472.634 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.634 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196472.634 * * [misc]simplify: iters left: 6 (16 enodes) 1540196472.636 * * [misc]simplify: iters left: 5 (21 enodes) 1540196472.639 * * [misc]simplify: iters left: 4 (25 enodes) 1540196472.643 * * [misc]simplify: iters left: 3 (27 enodes) 1540196472.646 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196472.646 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.647 * * * * [misc]progress: [ 178 / 6870 ] simplifiying candidate # 1540196472.647 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196472.647 * * [misc]simplify: iters left: 6 (16 enodes) 1540196472.649 * * [misc]simplify: iters left: 5 (23 enodes) 1540196472.653 * * [misc]simplify: iters left: 4 (33 enodes) 1540196472.662 * * [misc]simplify: iters left: 3 (45 enodes) 1540196472.673 * * [misc]simplify: iters left: 2 (57 enodes) 1540196472.688 * * [misc]simplify: iters left: 1 (63 enodes) 1540196472.705 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540196472.705 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.705 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196472.705 * * [misc]simplify: iters left: 6 (16 enodes) 1540196472.710 * * [misc]simplify: iters left: 5 (21 enodes) 1540196472.716 * * [misc]simplify: iters left: 4 (25 enodes) 1540196472.722 * * [misc]simplify: iters left: 3 (27 enodes) 1540196472.729 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196472.729 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.729 * * * * [misc]progress: [ 179 / 6870 ] simplifiying candidate # 1540196472.730 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196472.730 * * [misc]simplify: iters left: 6 (18 enodes) 1540196472.735 * * [misc]simplify: iters left: 5 (26 enodes) 1540196472.742 * * [misc]simplify: iters left: 4 (40 enodes) 1540196472.748 * * [misc]simplify: iters left: 3 (66 enodes) 1540196472.758 * * [misc]simplify: iters left: 2 (105 enodes) 1540196472.782 * * [misc]simplify: iters left: 1 (136 enodes) 1540196472.826 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt (sqrt k)))) 1540196472.826 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.826 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196472.826 * * [misc]simplify: iters left: 6 (16 enodes) 1540196472.831 * * [misc]simplify: iters left: 5 (20 enodes) 1540196472.836 * * [misc]simplify: iters left: 4 (26 enodes) 1540196472.843 * * [misc]simplify: iters left: 3 (28 enodes) 1540196472.851 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196472.851 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.851 * * * * [misc]progress: [ 180 / 6870 ] simplifiying candidate # 1540196472.851 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196472.851 * * [misc]simplify: iters left: 6 (17 enodes) 1540196472.856 * * [misc]simplify: iters left: 5 (23 enodes) 1540196472.859 * * [misc]simplify: iters left: 4 (33 enodes) 1540196472.864 * * [misc]simplify: iters left: 3 (45 enodes) 1540196472.869 * * [misc]simplify: iters left: 2 (57 enodes) 1540196472.877 * * [misc]simplify: iters left: 1 (63 enodes) 1540196472.889 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196472.889 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.889 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196472.889 * * [misc]simplify: iters left: 6 (16 enodes) 1540196472.894 * * [misc]simplify: iters left: 5 (20 enodes) 1540196472.897 * * [misc]simplify: iters left: 4 (26 enodes) 1540196472.901 * * [misc]simplify: iters left: 3 (28 enodes) 1540196472.904 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196472.904 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.904 * * * * [misc]progress: [ 181 / 6870 ] simplifiying candidate # 1540196472.904 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196472.904 * * [misc]simplify: iters left: 6 (15 enodes) 1540196472.907 * * [misc]simplify: iters left: 5 (23 enodes) 1540196472.910 * * [misc]simplify: iters left: 4 (34 enodes) 1540196472.916 * * [misc]simplify: iters left: 3 (45 enodes) 1540196472.920 * * [misc]simplify: iters left: 2 (46 enodes) 1540196472.926 * * [misc]simplify: iters left: 1 (52 enodes) 1540196472.938 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196472.938 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.938 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196472.938 * * [misc]simplify: iters left: 6 (15 enodes) 1540196472.942 * * [misc]simplify: iters left: 5 (19 enodes) 1540196472.947 * * [misc]simplify: iters left: 4 (25 enodes) 1540196472.954 * * [misc]simplify: iters left: 3 (27 enodes) 1540196472.961 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196472.961 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196472.961 * * * * [misc]progress: [ 182 / 6870 ] simplifiying candidate # 1540196472.961 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n 1/2))) 1540196472.961 * * [misc]simplify: iters left: 6 (14 enodes) 1540196472.966 * * [misc]simplify: iters left: 5 (23 enodes) 1540196472.972 * * [misc]simplify: iters left: 4 (33 enodes) 1540196472.982 * * [misc]simplify: iters left: 3 (48 enodes) 1540196472.997 * * [misc]simplify: iters left: 2 (96 enodes) 1540196473.042 * * [misc]simplify: iters left: 1 (237 enodes) 1540196473.122 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196473.122 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.122 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196473.122 * * [misc]simplify: iters left: 6 (15 enodes) 1540196473.127 * * [misc]simplify: iters left: 5 (20 enodes) 1540196473.132 * * [misc]simplify: iters left: 4 (24 enodes) 1540196473.135 * * [misc]simplify: iters left: 3 (26 enodes) 1540196473.138 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540196473.138 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.138 * * * * [misc]progress: [ 183 / 6870 ] simplifiying candidate # 1540196473.138 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n 1/2))) 1540196473.138 * * [misc]simplify: iters left: 6 (14 enodes) 1540196473.140 * * [misc]simplify: iters left: 5 (23 enodes) 1540196473.143 * * [misc]simplify: iters left: 4 (33 enodes) 1540196473.148 * * [misc]simplify: iters left: 3 (48 enodes) 1540196473.156 * * [misc]simplify: iters left: 2 (96 enodes) 1540196473.196 * * [misc]simplify: iters left: 1 (237 enodes) 1540196473.306 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196473.306 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.306 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196473.306 * * [misc]simplify: iters left: 6 (15 enodes) 1540196473.311 * * [misc]simplify: iters left: 5 (20 enodes) 1540196473.317 * * [misc]simplify: iters left: 4 (24 enodes) 1540196473.325 * * [misc]simplify: iters left: 3 (26 enodes) 1540196473.332 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540196473.332 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt n) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.332 * * * * [misc]progress: [ 184 / 6870 ] simplifiying candidate # 1540196473.332 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196473.333 * * [misc]simplify: iters left: 6 (16 enodes) 1540196473.338 * * [misc]simplify: iters left: 5 (26 enodes) 1540196473.346 * * [misc]simplify: iters left: 4 (40 enodes) 1540196473.355 * * [misc]simplify: iters left: 3 (67 enodes) 1540196473.368 * * [misc]simplify: iters left: 2 (133 enodes) 1540196473.426 * * [misc]simplify: iters left: 1 (387 enodes) 1540196473.717 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196473.717 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.718 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196473.718 * * [misc]simplify: iters left: 6 (15 enodes) 1540196473.722 * * [misc]simplify: iters left: 5 (19 enodes) 1540196473.725 * * [misc]simplify: iters left: 4 (25 enodes) 1540196473.729 * * [misc]simplify: iters left: 3 (27 enodes) 1540196473.732 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196473.732 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.732 * * * * [misc]progress: [ 185 / 6870 ] simplifiying candidate # 1540196473.733 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196473.733 * * [misc]simplify: iters left: 6 (15 enodes) 1540196473.735 * * [misc]simplify: iters left: 5 (23 enodes) 1540196473.738 * * [misc]simplify: iters left: 4 (33 enodes) 1540196473.743 * * [misc]simplify: iters left: 3 (48 enodes) 1540196473.751 * * [misc]simplify: iters left: 2 (96 enodes) 1540196473.781 * * [misc]simplify: iters left: 1 (228 enodes) 1540196473.856 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196473.856 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.856 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196473.856 * * [misc]simplify: iters left: 6 (15 enodes) 1540196473.858 * * [misc]simplify: iters left: 5 (19 enodes) 1540196473.861 * * [misc]simplify: iters left: 4 (25 enodes) 1540196473.864 * * [misc]simplify: iters left: 3 (27 enodes) 1540196473.867 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196473.867 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.867 * * * * [misc]progress: [ 186 / 6870 ] simplifiying candidate # 1540196473.868 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1540196473.868 * * [misc]simplify: iters left: 6 (12 enodes) 1540196473.869 * * [misc]simplify: iters left: 5 (18 enodes) 1540196473.872 * * [misc]simplify: iters left: 4 (21 enodes) 1540196473.876 * * [misc]simplify: iters left: 3 (29 enodes) 1540196473.879 * * [misc]simplify: iters left: 2 (31 enodes) 1540196473.883 * * [misc]simplify: iters left: 1 (38 enodes) 1540196473.887 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196473.888 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.888 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196473.888 * * [misc]simplify: iters left: 6 (14 enodes) 1540196473.890 * * [misc]simplify: iters left: 5 (18 enodes) 1540196473.892 * * [misc]simplify: iters left: 4 (24 enodes) 1540196473.895 * * [misc]simplify: iters left: 3 (26 enodes) 1540196473.899 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196473.899 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.899 * * * * [misc]progress: [ 187 / 6870 ] simplifiying candidate # 1540196473.899 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1540196473.899 * * [misc]simplify: iters left: 6 (11 enodes) 1540196473.901 * * [misc]simplify: iters left: 5 (17 enodes) 1540196473.904 * * [misc]simplify: iters left: 4 (26 enodes) 1540196473.907 * * [misc]simplify: iters left: 3 (28 enodes) 1540196473.910 * * [misc]simplify: iters left: 2 (33 enodes) 1540196473.914 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196473.914 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.914 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196473.914 * * [misc]simplify: iters left: 6 (14 enodes) 1540196473.917 * * [misc]simplify: iters left: 5 (18 enodes) 1540196473.919 * * [misc]simplify: iters left: 4 (24 enodes) 1540196473.923 * * [misc]simplify: iters left: 3 (26 enodes) 1540196473.926 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196473.926 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.926 * * * * [misc]progress: [ 188 / 6870 ] simplifiying candidate # 1540196473.926 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540196473.927 * * [misc]simplify: iters left: 6 (12 enodes) 1540196473.929 * * [misc]simplify: iters left: 5 (16 enodes) 1540196473.934 * * [misc]simplify: iters left: 4 (21 enodes) 1540196473.940 * * [misc]simplify: iters left: 3 (22 enodes) 1540196473.946 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1540196473.946 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.946 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540196473.947 * * [misc]simplify: iters left: 6 (13 enodes) 1540196473.950 * * [misc]simplify: iters left: 5 (19 enodes) 1540196473.956 * * [misc]simplify: iters left: 4 (25 enodes) 1540196473.963 * * [misc]simplify: iters left: 3 (35 enodes) 1540196473.972 * * [misc]simplify: iters left: 2 (37 enodes) 1540196473.980 * * [misc]simplify: iters left: 1 (42 enodes) 1540196473.988 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196473.988 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196473.988 * * * * [misc]progress: [ 189 / 6870 ] simplifiying candidate # 1540196473.989 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n 1/2))) 1540196473.989 * * [misc]simplify: iters left: 6 (15 enodes) 1540196473.991 * * [misc]simplify: iters left: 5 (22 enodes) 1540196473.994 * * [misc]simplify: iters left: 4 (32 enodes) 1540196473.998 * * [misc]simplify: iters left: 3 (44 enodes) 1540196474.003 * * [misc]simplify: iters left: 2 (56 enodes) 1540196474.010 * * [misc]simplify: iters left: 1 (62 enodes) 1540196474.019 * [exit]simplify: Simplified to (* (/ (sqrt n) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1540196474.019 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (sqrt n) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.019 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1540196474.019 * * [misc]simplify: iters left: 6 (11 enodes) 1540196474.020 * * [misc]simplify: iters left: 5 (13 enodes) 1540196474.022 * * [misc]simplify: iters left: 4 (16 enodes) 1540196474.025 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1540196474.025 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (sqrt n) (sqrt (sqrt k))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.025 * * * * [misc]progress: [ 190 / 6870 ] simplifiying candidate # 1540196474.025 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196474.026 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.030 * * [misc]simplify: iters left: 5 (20 enodes) 1540196474.035 * * [misc]simplify: iters left: 4 (23 enodes) 1540196474.042 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196474.042 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.043 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196474.043 * * [misc]simplify: iters left: 6 (15 enodes) 1540196474.047 * * [misc]simplify: iters left: 5 (17 enodes) 1540196474.051 * * [misc]simplify: iters left: 4 (20 enodes) 1540196474.056 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196474.057 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.057 * * * * [misc]progress: [ 191 / 6870 ] simplifiying candidate # 1540196474.057 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196474.057 * * [misc]simplify: iters left: 6 (15 enodes) 1540196474.061 * * [misc]simplify: iters left: 5 (17 enodes) 1540196474.066 * * [misc]simplify: iters left: 4 (20 enodes) 1540196474.071 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196474.071 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.071 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196474.072 * * [misc]simplify: iters left: 6 (15 enodes) 1540196474.076 * * [misc]simplify: iters left: 5 (17 enodes) 1540196474.080 * * [misc]simplify: iters left: 4 (20 enodes) 1540196474.087 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196474.087 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.087 * * * * [misc]progress: [ 192 / 6870 ] simplifiying candidate # 1540196474.087 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540196474.087 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.092 * * [misc]simplify: iters left: 5 (23 enodes) 1540196474.098 * * [misc]simplify: iters left: 4 (33 enodes) 1540196474.108 * * [misc]simplify: iters left: 3 (45 enodes) 1540196474.119 * * [misc]simplify: iters left: 2 (50 enodes) 1540196474.131 * * [misc]simplify: iters left: 1 (57 enodes) 1540196474.145 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540196474.145 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.145 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196474.146 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.150 * * [misc]simplify: iters left: 5 (21 enodes) 1540196474.156 * * [misc]simplify: iters left: 4 (25 enodes) 1540196474.162 * * [misc]simplify: iters left: 3 (27 enodes) 1540196474.169 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196474.169 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.169 * * * * [misc]progress: [ 193 / 6870 ] simplifiying candidate # 1540196474.170 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540196474.170 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.174 * * [misc]simplify: iters left: 5 (23 enodes) 1540196474.181 * * [misc]simplify: iters left: 4 (33 enodes) 1540196474.190 * * [misc]simplify: iters left: 3 (45 enodes) 1540196474.201 * * [misc]simplify: iters left: 2 (50 enodes) 1540196474.214 * * [misc]simplify: iters left: 1 (57 enodes) 1540196474.229 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540196474.229 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.229 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196474.229 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.235 * * [misc]simplify: iters left: 5 (21 enodes) 1540196474.240 * * [misc]simplify: iters left: 4 (25 enodes) 1540196474.247 * * [misc]simplify: iters left: 3 (27 enodes) 1540196474.254 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196474.254 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.254 * * * * [misc]progress: [ 194 / 6870 ] simplifiying candidate # 1540196474.254 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196474.254 * * [misc]simplify: iters left: 6 (18 enodes) 1540196474.260 * * [misc]simplify: iters left: 5 (28 enodes) 1540196474.269 * * [misc]simplify: iters left: 4 (49 enodes) 1540196474.283 * * [misc]simplify: iters left: 3 (72 enodes) 1540196474.302 * * [misc]simplify: iters left: 2 (102 enodes) 1540196474.318 * * [misc]simplify: iters left: 1 (126 enodes) 1540196474.340 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196474.340 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.341 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196474.341 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.343 * * [misc]simplify: iters left: 5 (20 enodes) 1540196474.345 * * [misc]simplify: iters left: 4 (26 enodes) 1540196474.349 * * [misc]simplify: iters left: 3 (28 enodes) 1540196474.352 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196474.352 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.352 * * * * [misc]progress: [ 195 / 6870 ] simplifiying candidate # 1540196474.353 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196474.353 * * [misc]simplify: iters left: 6 (17 enodes) 1540196474.355 * * [misc]simplify: iters left: 5 (23 enodes) 1540196474.358 * * [misc]simplify: iters left: 4 (33 enodes) 1540196474.363 * * [misc]simplify: iters left: 3 (45 enodes) 1540196474.369 * * [misc]simplify: iters left: 2 (50 enodes) 1540196474.381 * * [misc]simplify: iters left: 1 (57 enodes) 1540196474.396 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196474.396 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.396 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196474.396 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.401 * * [misc]simplify: iters left: 5 (20 enodes) 1540196474.406 * * [misc]simplify: iters left: 4 (26 enodes) 1540196474.413 * * [misc]simplify: iters left: 3 (28 enodes) 1540196474.420 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196474.420 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.420 * * * * [misc]progress: [ 196 / 6870 ] simplifiying candidate # 1540196474.420 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196474.420 * * [misc]simplify: iters left: 6 (15 enodes) 1540196474.425 * * [misc]simplify: iters left: 5 (23 enodes) 1540196474.432 * * [misc]simplify: iters left: 4 (37 enodes) 1540196474.440 * * [misc]simplify: iters left: 3 (43 enodes) 1540196474.446 * * [misc]simplify: iters left: 2 (64 enodes) 1540196474.457 * * [misc]simplify: iters left: 1 (86 enodes) 1540196474.471 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196474.471 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.472 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196474.472 * * [misc]simplify: iters left: 6 (15 enodes) 1540196474.476 * * [misc]simplify: iters left: 5 (19 enodes) 1540196474.482 * * [misc]simplify: iters left: 4 (25 enodes) 1540196474.489 * * [misc]simplify: iters left: 3 (27 enodes) 1540196474.495 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196474.495 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.496 * * * * [misc]progress: [ 197 / 6870 ] simplifiying candidate # 1540196474.496 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540196474.496 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.501 * * [misc]simplify: iters left: 5 (22 enodes) 1540196474.506 * * [misc]simplify: iters left: 4 (28 enodes) 1540196474.513 * * [misc]simplify: iters left: 3 (30 enodes) 1540196474.520 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540196474.520 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.521 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196474.521 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.524 * * [misc]simplify: iters left: 5 (21 enodes) 1540196474.527 * * [misc]simplify: iters left: 4 (25 enodes) 1540196474.530 * * [misc]simplify: iters left: 3 (27 enodes) 1540196474.533 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196474.533 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.533 * * * * [misc]progress: [ 198 / 6870 ] simplifiying candidate # 1540196474.533 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540196474.534 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.536 * * [misc]simplify: iters left: 5 (22 enodes) 1540196474.539 * * [misc]simplify: iters left: 4 (28 enodes) 1540196474.542 * * [misc]simplify: iters left: 3 (30 enodes) 1540196474.547 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540196474.547 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.547 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196474.547 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.549 * * [misc]simplify: iters left: 5 (21 enodes) 1540196474.552 * * [misc]simplify: iters left: 4 (25 enodes) 1540196474.558 * * [misc]simplify: iters left: 3 (27 enodes) 1540196474.565 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196474.565 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.565 * * * * [misc]progress: [ 199 / 6870 ] simplifiying candidate # 1540196474.565 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196474.566 * * [misc]simplify: iters left: 6 (18 enodes) 1540196474.571 * * [misc]simplify: iters left: 5 (25 enodes) 1540196474.577 * * [misc]simplify: iters left: 4 (33 enodes) 1540196474.586 * * [misc]simplify: iters left: 3 (42 enodes) 1540196474.597 * * [misc]simplify: iters left: 2 (50 enodes) 1540196474.610 * * [misc]simplify: iters left: 1 (52 enodes) 1540196474.624 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540196474.624 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.624 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196474.624 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.628 * * [misc]simplify: iters left: 5 (20 enodes) 1540196474.634 * * [misc]simplify: iters left: 4 (26 enodes) 1540196474.640 * * [misc]simplify: iters left: 3 (28 enodes) 1540196474.647 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196474.647 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.648 * * * * [misc]progress: [ 200 / 6870 ] simplifiying candidate # 1540196474.648 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196474.648 * * [misc]simplify: iters left: 6 (17 enodes) 1540196474.653 * * [misc]simplify: iters left: 5 (22 enodes) 1540196474.659 * * [misc]simplify: iters left: 4 (28 enodes) 1540196474.666 * * [misc]simplify: iters left: 3 (30 enodes) 1540196474.674 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196474.674 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.674 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196474.674 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.678 * * [misc]simplify: iters left: 5 (20 enodes) 1540196474.685 * * [misc]simplify: iters left: 4 (26 enodes) 1540196474.691 * * [misc]simplify: iters left: 3 (28 enodes) 1540196474.698 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196474.698 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.698 * * * * [misc]progress: [ 201 / 6870 ] simplifiying candidate # 1540196474.699 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196474.699 * * [misc]simplify: iters left: 6 (15 enodes) 1540196474.703 * * [misc]simplify: iters left: 5 (21 enodes) 1540196474.709 * * [misc]simplify: iters left: 4 (28 enodes) 1540196474.715 * * [misc]simplify: iters left: 3 (32 enodes) 1540196474.723 * * [misc]simplify: iters left: 2 (37 enodes) 1540196474.730 * * [misc]simplify: iters left: 1 (40 enodes) 1540196474.739 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 1540196474.739 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.740 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196474.740 * * [misc]simplify: iters left: 6 (15 enodes) 1540196474.744 * * [misc]simplify: iters left: 5 (19 enodes) 1540196474.749 * * [misc]simplify: iters left: 4 (25 enodes) 1540196474.756 * * [misc]simplify: iters left: 3 (27 enodes) 1540196474.763 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196474.763 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.763 * * * * [misc]progress: [ 202 / 6870 ] simplifiying candidate # 1540196474.763 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196474.763 * * [misc]simplify: iters left: 6 (15 enodes) 1540196474.768 * * [misc]simplify: iters left: 5 (20 enodes) 1540196474.773 * * [misc]simplify: iters left: 4 (26 enodes) 1540196474.780 * * [misc]simplify: iters left: 3 (28 enodes) 1540196474.786 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540196474.786 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.787 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196474.787 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.791 * * [misc]simplify: iters left: 5 (21 enodes) 1540196474.797 * * [misc]simplify: iters left: 4 (25 enodes) 1540196474.804 * * [misc]simplify: iters left: 3 (27 enodes) 1540196474.811 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196474.811 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.811 * * * * [misc]progress: [ 203 / 6870 ] simplifiying candidate # 1540196474.811 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196474.811 * * [misc]simplify: iters left: 6 (15 enodes) 1540196474.816 * * [misc]simplify: iters left: 5 (20 enodes) 1540196474.821 * * [misc]simplify: iters left: 4 (26 enodes) 1540196474.828 * * [misc]simplify: iters left: 3 (28 enodes) 1540196474.836 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540196474.836 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.836 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196474.836 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.841 * * [misc]simplify: iters left: 5 (21 enodes) 1540196474.846 * * [misc]simplify: iters left: 4 (25 enodes) 1540196474.850 * * [misc]simplify: iters left: 3 (27 enodes) 1540196474.853 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196474.853 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.853 * * * * [misc]progress: [ 204 / 6870 ] simplifiying candidate # 1540196474.853 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196474.854 * * [misc]simplify: iters left: 6 (17 enodes) 1540196474.856 * * [misc]simplify: iters left: 5 (23 enodes) 1540196474.859 * * [misc]simplify: iters left: 4 (31 enodes) 1540196474.863 * * [misc]simplify: iters left: 3 (40 enodes) 1540196474.870 * * [misc]simplify: iters left: 2 (48 enodes) 1540196474.881 * * [misc]simplify: iters left: 1 (50 enodes) 1540196474.894 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1540196474.895 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.895 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196474.895 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.899 * * [misc]simplify: iters left: 5 (20 enodes) 1540196474.905 * * [misc]simplify: iters left: 4 (26 enodes) 1540196474.913 * * [misc]simplify: iters left: 3 (28 enodes) 1540196474.920 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196474.920 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.920 * * * * [misc]progress: [ 205 / 6870 ] simplifiying candidate # 1540196474.920 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196474.921 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.925 * * [misc]simplify: iters left: 5 (20 enodes) 1540196474.930 * * [misc]simplify: iters left: 4 (26 enodes) 1540196474.937 * * [misc]simplify: iters left: 3 (28 enodes) 1540196474.944 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196474.944 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.945 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196474.945 * * [misc]simplify: iters left: 6 (16 enodes) 1540196474.949 * * [misc]simplify: iters left: 5 (20 enodes) 1540196474.956 * * [misc]simplify: iters left: 4 (26 enodes) 1540196474.963 * * [misc]simplify: iters left: 3 (28 enodes) 1540196474.970 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196474.970 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.970 * * * * [misc]progress: [ 206 / 6870 ] simplifiying candidate # 1540196474.970 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196474.971 * * [misc]simplify: iters left: 6 (14 enodes) 1540196474.974 * * [misc]simplify: iters left: 5 (20 enodes) 1540196474.981 * * [misc]simplify: iters left: 4 (30 enodes) 1540196474.988 * * [misc]simplify: iters left: 3 (34 enodes) 1540196474.996 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1540196474.996 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196474.996 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196474.996 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.000 * * [misc]simplify: iters left: 5 (19 enodes) 1540196475.004 * * [misc]simplify: iters left: 4 (25 enodes) 1540196475.007 * * [misc]simplify: iters left: 3 (27 enodes) 1540196475.011 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196475.011 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.011 * * * * [misc]progress: [ 207 / 6870 ] simplifiying candidate # 1540196475.011 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow n 1/2))) 1540196475.011 * * [misc]simplify: iters left: 6 (14 enodes) 1540196475.014 * * [misc]simplify: iters left: 5 (21 enodes) 1540196475.016 * * [misc]simplify: iters left: 4 (27 enodes) 1540196475.020 * * [misc]simplify: iters left: 3 (37 enodes) 1540196475.024 * * [misc]simplify: iters left: 2 (46 enodes) 1540196475.029 * * [misc]simplify: iters left: 1 (49 enodes) 1540196475.033 * [exit]simplify: Simplified to (* (sqrt n) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540196475.033 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt n) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.033 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196475.034 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.036 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.041 * * [misc]simplify: iters left: 4 (24 enodes) 1540196475.047 * * [misc]simplify: iters left: 3 (26 enodes) 1540196475.054 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540196475.054 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt n) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.054 * * * * [misc]progress: [ 208 / 6870 ] simplifiying candidate # 1540196475.054 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt 1) (pow n 1/2))) 1540196475.054 * * [misc]simplify: iters left: 6 (14 enodes) 1540196475.059 * * [misc]simplify: iters left: 5 (21 enodes) 1540196475.064 * * [misc]simplify: iters left: 4 (27 enodes) 1540196475.070 * * [misc]simplify: iters left: 3 (37 enodes) 1540196475.075 * * [misc]simplify: iters left: 2 (46 enodes) 1540196475.079 * * [misc]simplify: iters left: 1 (49 enodes) 1540196475.084 * [exit]simplify: Simplified to (* (sqrt n) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540196475.084 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt n) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.084 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196475.084 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.086 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.088 * * [misc]simplify: iters left: 4 (24 enodes) 1540196475.091 * * [misc]simplify: iters left: 3 (26 enodes) 1540196475.094 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540196475.094 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt n) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.094 * * * * [misc]progress: [ 209 / 6870 ] simplifiying candidate # 1540196475.095 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196475.095 * * [misc]simplify: iters left: 6 (16 enodes) 1540196475.097 * * [misc]simplify: iters left: 5 (24 enodes) 1540196475.101 * * [misc]simplify: iters left: 4 (33 enodes) 1540196475.111 * * [misc]simplify: iters left: 3 (49 enodes) 1540196475.124 * * [misc]simplify: iters left: 2 (63 enodes) 1540196475.140 * * [misc]simplify: iters left: 1 (81 enodes) 1540196475.160 * [exit]simplify: Simplified to (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196475.160 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.160 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196475.160 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.164 * * [misc]simplify: iters left: 5 (19 enodes) 1540196475.169 * * [misc]simplify: iters left: 4 (25 enodes) 1540196475.173 * * [misc]simplify: iters left: 3 (27 enodes) 1540196475.178 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196475.178 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.178 * * * * [misc]progress: [ 210 / 6870 ] simplifiying candidate # 1540196475.178 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196475.178 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.181 * * [misc]simplify: iters left: 5 (21 enodes) 1540196475.184 * * [misc]simplify: iters left: 4 (27 enodes) 1540196475.187 * * [misc]simplify: iters left: 3 (37 enodes) 1540196475.192 * * [misc]simplify: iters left: 2 (46 enodes) 1540196475.197 * * [misc]simplify: iters left: 1 (49 enodes) 1540196475.201 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540196475.201 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.201 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196475.201 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.203 * * [misc]simplify: iters left: 5 (19 enodes) 1540196475.208 * * [misc]simplify: iters left: 4 (25 enodes) 1540196475.215 * * [misc]simplify: iters left: 3 (27 enodes) 1540196475.222 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196475.222 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.222 * * * * [misc]progress: [ 211 / 6870 ] simplifiying candidate # 1540196475.222 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt 1) 1)) 1540196475.222 * * [misc]simplify: iters left: 6 (12 enodes) 1540196475.227 * * [misc]simplify: iters left: 5 (18 enodes) 1540196475.231 * * [misc]simplify: iters left: 4 (21 enodes) 1540196475.236 * * [misc]simplify: iters left: 3 (24 enodes) 1540196475.241 * * [misc]simplify: iters left: 2 (25 enodes) 1540196475.245 * * [misc]simplify: iters left: 1 (27 enodes) 1540196475.251 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540196475.251 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.252 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196475.252 * * [misc]simplify: iters left: 6 (14 enodes) 1540196475.255 * * [misc]simplify: iters left: 5 (18 enodes) 1540196475.258 * * [misc]simplify: iters left: 4 (24 enodes) 1540196475.261 * * [misc]simplify: iters left: 3 (26 enodes) 1540196475.264 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196475.264 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.264 * * * * [misc]progress: [ 212 / 6870 ] simplifiying candidate # 1540196475.264 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196475.264 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.266 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.269 * * [misc]simplify: iters left: 4 (26 enodes) 1540196475.272 * * [misc]simplify: iters left: 3 (28 enodes) 1540196475.275 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540196475.275 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.275 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196475.276 * * [misc]simplify: iters left: 6 (16 enodes) 1540196475.278 * * [misc]simplify: iters left: 5 (21 enodes) 1540196475.281 * * [misc]simplify: iters left: 4 (25 enodes) 1540196475.284 * * [misc]simplify: iters left: 3 (27 enodes) 1540196475.287 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196475.287 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.287 * * * * [misc]progress: [ 213 / 6870 ] simplifiying candidate # 1540196475.288 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196475.288 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.292 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.297 * * [misc]simplify: iters left: 4 (26 enodes) 1540196475.301 * * [misc]simplify: iters left: 3 (28 enodes) 1540196475.305 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) 1540196475.305 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.305 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196475.305 * * [misc]simplify: iters left: 6 (16 enodes) 1540196475.307 * * [misc]simplify: iters left: 5 (21 enodes) 1540196475.310 * * [misc]simplify: iters left: 4 (25 enodes) 1540196475.313 * * [misc]simplify: iters left: 3 (27 enodes) 1540196475.316 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196475.316 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.316 * * * * [misc]progress: [ 214 / 6870 ] simplifiying candidate # 1540196475.316 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196475.316 * * [misc]simplify: iters left: 6 (17 enodes) 1540196475.319 * * [misc]simplify: iters left: 5 (23 enodes) 1540196475.322 * * [misc]simplify: iters left: 4 (31 enodes) 1540196475.326 * * [misc]simplify: iters left: 3 (40 enodes) 1540196475.331 * * [misc]simplify: iters left: 2 (48 enodes) 1540196475.342 * * [misc]simplify: iters left: 1 (50 enodes) 1540196475.355 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) 1540196475.355 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.355 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196475.356 * * [misc]simplify: iters left: 6 (16 enodes) 1540196475.360 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.366 * * [misc]simplify: iters left: 4 (26 enodes) 1540196475.372 * * [misc]simplify: iters left: 3 (28 enodes) 1540196475.381 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196475.381 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.381 * * * * [misc]progress: [ 215 / 6870 ] simplifiying candidate # 1540196475.382 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196475.382 * * [misc]simplify: iters left: 6 (16 enodes) 1540196475.387 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.392 * * [misc]simplify: iters left: 4 (26 enodes) 1540196475.400 * * [misc]simplify: iters left: 3 (28 enodes) 1540196475.407 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196475.408 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.408 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196475.408 * * [misc]simplify: iters left: 6 (16 enodes) 1540196475.413 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.419 * * [misc]simplify: iters left: 4 (26 enodes) 1540196475.422 * * [misc]simplify: iters left: 3 (28 enodes) 1540196475.426 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196475.426 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.426 * * * * [misc]progress: [ 216 / 6870 ] simplifiying candidate # 1540196475.426 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196475.426 * * [misc]simplify: iters left: 6 (14 enodes) 1540196475.428 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.431 * * [misc]simplify: iters left: 4 (30 enodes) 1540196475.434 * * [misc]simplify: iters left: 3 (34 enodes) 1540196475.438 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1540196475.438 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.438 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196475.438 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.440 * * [misc]simplify: iters left: 5 (19 enodes) 1540196475.443 * * [misc]simplify: iters left: 4 (25 enodes) 1540196475.446 * * [misc]simplify: iters left: 3 (27 enodes) 1540196475.449 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196475.449 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.449 * * * * [misc]progress: [ 217 / 6870 ] simplifiying candidate # 1540196475.449 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n 1/2))) 1540196475.449 * * [misc]simplify: iters left: 6 (13 enodes) 1540196475.451 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.457 * * [misc]simplify: iters left: 4 (26 enodes) 1540196475.464 * * [misc]simplify: iters left: 3 (36 enodes) 1540196475.473 * * [misc]simplify: iters left: 2 (38 enodes) 1540196475.481 * * [misc]simplify: iters left: 1 (43 enodes) 1540196475.489 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) 1540196475.489 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.489 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196475.489 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.492 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.494 * * [misc]simplify: iters left: 4 (24 enodes) 1540196475.497 * * [misc]simplify: iters left: 3 (26 enodes) 1540196475.500 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540196475.500 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.500 * * * * [misc]progress: [ 218 / 6870 ] simplifiying candidate # 1540196475.501 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n 1/2))) 1540196475.501 * * [misc]simplify: iters left: 6 (13 enodes) 1540196475.503 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.505 * * [misc]simplify: iters left: 4 (26 enodes) 1540196475.509 * * [misc]simplify: iters left: 3 (36 enodes) 1540196475.513 * * [misc]simplify: iters left: 2 (38 enodes) 1540196475.517 * * [misc]simplify: iters left: 1 (43 enodes) 1540196475.521 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) 1540196475.521 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.522 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196475.522 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.524 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.526 * * [misc]simplify: iters left: 4 (24 enodes) 1540196475.529 * * [misc]simplify: iters left: 3 (26 enodes) 1540196475.533 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) 1540196475.533 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt n)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.533 * * * * [misc]progress: [ 219 / 6870 ] simplifiying candidate # 1540196475.533 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196475.533 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.535 * * [misc]simplify: iters left: 5 (23 enodes) 1540196475.538 * * [misc]simplify: iters left: 4 (31 enodes) 1540196475.543 * * [misc]simplify: iters left: 3 (45 enodes) 1540196475.555 * * [misc]simplify: iters left: 2 (54 enodes) 1540196475.569 * * [misc]simplify: iters left: 1 (59 enodes) 1540196475.584 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196475.584 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.585 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196475.585 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.590 * * [misc]simplify: iters left: 5 (19 enodes) 1540196475.595 * * [misc]simplify: iters left: 4 (25 enodes) 1540196475.602 * * [misc]simplify: iters left: 3 (27 enodes) 1540196475.609 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196475.609 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.609 * * * * [misc]progress: [ 220 / 6870 ] simplifiying candidate # 1540196475.610 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196475.610 * * [misc]simplify: iters left: 6 (14 enodes) 1540196475.614 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.620 * * [misc]simplify: iters left: 4 (26 enodes) 1540196475.628 * * [misc]simplify: iters left: 3 (36 enodes) 1540196475.637 * * [misc]simplify: iters left: 2 (38 enodes) 1540196475.644 * * [misc]simplify: iters left: 1 (43 enodes) 1540196475.655 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540196475.655 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.655 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196475.655 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.660 * * [misc]simplify: iters left: 5 (19 enodes) 1540196475.665 * * [misc]simplify: iters left: 4 (25 enodes) 1540196475.672 * * [misc]simplify: iters left: 3 (27 enodes) 1540196475.679 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196475.679 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.679 * * * * [misc]progress: [ 221 / 6870 ] simplifiying candidate # 1540196475.679 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1540196475.679 * * [misc]simplify: iters left: 6 (11 enodes) 1540196475.683 * * [misc]simplify: iters left: 5 (15 enodes) 1540196475.687 * * [misc]simplify: iters left: 4 (18 enodes) 1540196475.692 * * [misc]simplify: iters left: 3 (20 enodes) 1540196475.696 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540196475.696 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.696 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196475.696 * * [misc]simplify: iters left: 6 (14 enodes) 1540196475.700 * * [misc]simplify: iters left: 5 (18 enodes) 1540196475.705 * * [misc]simplify: iters left: 4 (24 enodes) 1540196475.709 * * [misc]simplify: iters left: 3 (26 enodes) 1540196475.713 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196475.713 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.713 * * * * [misc]progress: [ 222 / 6870 ] simplifiying candidate # 1540196475.713 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1540196475.713 * * [misc]simplify: iters left: 6 (10 enodes) 1540196475.715 * * [misc]simplify: iters left: 5 (14 enodes) 1540196475.717 * * [misc]simplify: iters left: 4 (19 enodes) 1540196475.719 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540196475.719 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.719 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196475.719 * * [misc]simplify: iters left: 6 (14 enodes) 1540196475.721 * * [misc]simplify: iters left: 5 (18 enodes) 1540196475.724 * * [misc]simplify: iters left: 4 (24 enodes) 1540196475.728 * * [misc]simplify: iters left: 3 (26 enodes) 1540196475.731 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196475.731 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.731 * * * * [misc]progress: [ 223 / 6870 ] simplifiying candidate # 1540196475.731 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196475.731 * * [misc]simplify: iters left: 6 (11 enodes) 1540196475.733 * * [misc]simplify: iters left: 5 (13 enodes) 1540196475.734 * * [misc]simplify: iters left: 4 (16 enodes) 1540196475.738 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196475.738 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.738 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540196475.738 * * [misc]simplify: iters left: 6 (13 enodes) 1540196475.742 * * [misc]simplify: iters left: 5 (19 enodes) 1540196475.747 * * [misc]simplify: iters left: 4 (25 enodes) 1540196475.754 * * [misc]simplify: iters left: 3 (35 enodes) 1540196475.763 * * [misc]simplify: iters left: 2 (37 enodes) 1540196475.766 * * [misc]simplify: iters left: 1 (42 enodes) 1540196475.771 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1540196475.771 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.771 * * * * [misc]progress: [ 224 / 6870 ] simplifiying candidate # 1540196475.771 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n 1/2))) 1540196475.772 * * [misc]simplify: iters left: 6 (14 enodes) 1540196475.774 * * [misc]simplify: iters left: 5 (19 enodes) 1540196475.776 * * [misc]simplify: iters left: 4 (25 enodes) 1540196475.779 * * [misc]simplify: iters left: 3 (27 enodes) 1540196475.783 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt n))) 1540196475.783 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.783 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1540196475.783 * * [misc]simplify: iters left: 6 (11 enodes) 1540196475.784 * * [misc]simplify: iters left: 5 (13 enodes) 1540196475.786 * * [misc]simplify: iters left: 4 (16 enodes) 1540196475.788 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2))) 1540196475.788 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt n))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.788 * * * * [misc]progress: [ 225 / 6870 ] simplifiying candidate # 1540196475.789 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196475.789 * * [misc]simplify: iters left: 6 (14 enodes) 1540196475.791 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.794 * * [misc]simplify: iters left: 4 (23 enodes) 1540196475.799 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196475.799 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (/ 1 (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.799 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196475.800 * * [misc]simplify: iters left: 6 (14 enodes) 1540196475.803 * * [misc]simplify: iters left: 5 (16 enodes) 1540196475.808 * * [misc]simplify: iters left: 4 (19 enodes) 1540196475.813 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196475.813 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.813 * * * * [misc]progress: [ 226 / 6870 ] simplifiying candidate # 1540196475.814 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196475.814 * * [misc]simplify: iters left: 6 (13 enodes) 1540196475.818 * * [misc]simplify: iters left: 5 (17 enodes) 1540196475.822 * * [misc]simplify: iters left: 4 (20 enodes) 1540196475.828 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196475.828 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.828 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196475.828 * * [misc]simplify: iters left: 6 (14 enodes) 1540196475.833 * * [misc]simplify: iters left: 5 (16 enodes) 1540196475.838 * * [misc]simplify: iters left: 4 (19 enodes) 1540196475.843 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196475.843 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.844 * * * * [misc]progress: [ 227 / 6870 ] simplifiying candidate # 1540196475.844 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540196475.844 * * [misc]simplify: iters left: 6 (11 enodes) 1540196475.847 * * [misc]simplify: iters left: 5 (18 enodes) 1540196475.852 * * [misc]simplify: iters left: 4 (25 enodes) 1540196475.859 * * [misc]simplify: iters left: 3 (35 enodes) 1540196475.871 * * [misc]simplify: iters left: 2 (62 enodes) 1540196475.889 * * [misc]simplify: iters left: 1 (91 enodes) 1540196475.904 * [exit]simplify: Simplified to (/ (sqrt n) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196475.904 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt n) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.904 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196475.904 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.906 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.909 * * [misc]simplify: iters left: 4 (24 enodes) 1540196475.912 * * [misc]simplify: iters left: 3 (26 enodes) 1540196475.916 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (/ (- k) 2)))) 1540196475.916 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt n) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.916 * * * * [misc]progress: [ 228 / 6870 ] simplifiying candidate # 1540196475.916 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1540196475.916 * * [misc]simplify: iters left: 6 (11 enodes) 1540196475.918 * * [misc]simplify: iters left: 5 (18 enodes) 1540196475.921 * * [misc]simplify: iters left: 4 (25 enodes) 1540196475.928 * * [misc]simplify: iters left: 3 (35 enodes) 1540196475.941 * * [misc]simplify: iters left: 2 (62 enodes) 1540196475.960 * * [misc]simplify: iters left: 1 (91 enodes) 1540196475.989 * [exit]simplify: Simplified to (/ (sqrt n) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196475.989 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt n) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196475.989 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196475.989 * * [misc]simplify: iters left: 6 (15 enodes) 1540196475.993 * * [misc]simplify: iters left: 5 (20 enodes) 1540196475.999 * * [misc]simplify: iters left: 4 (24 enodes) 1540196476.005 * * [misc]simplify: iters left: 3 (26 enodes) 1540196476.011 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (/ (- k) 2)))) 1540196476.011 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt n) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.011 * * * * [misc]progress: [ 229 / 6870 ] simplifiying candidate # 1540196476.012 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196476.012 * * [misc]simplify: iters left: 6 (16 enodes) 1540196476.017 * * [misc]simplify: iters left: 5 (28 enodes) 1540196476.025 * * [misc]simplify: iters left: 4 (49 enodes) 1540196476.040 * * [misc]simplify: iters left: 3 (71 enodes) 1540196476.059 * * [misc]simplify: iters left: 2 (172 enodes) 1540196476.125 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196476.125 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.125 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196476.125 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.128 * * [misc]simplify: iters left: 5 (19 enodes) 1540196476.130 * * [misc]simplify: iters left: 4 (25 enodes) 1540196476.136 * * [misc]simplify: iters left: 3 (27 enodes) 1540196476.143 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196476.143 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.143 * * * * [misc]progress: [ 230 / 6870 ] simplifiying candidate # 1540196476.144 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196476.144 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.148 * * [misc]simplify: iters left: 5 (23 enodes) 1540196476.155 * * [misc]simplify: iters left: 4 (33 enodes) 1540196476.168 * * [misc]simplify: iters left: 3 (53 enodes) 1540196476.186 * * [misc]simplify: iters left: 2 (91 enodes) 1540196476.202 * * [misc]simplify: iters left: 1 (169 enodes) 1540196476.257 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196476.257 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.258 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196476.258 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.260 * * [misc]simplify: iters left: 5 (19 enodes) 1540196476.262 * * [misc]simplify: iters left: 4 (25 enodes) 1540196476.266 * * [misc]simplify: iters left: 3 (27 enodes) 1540196476.270 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196476.270 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.270 * * * * [misc]progress: [ 231 / 6870 ] simplifiying candidate # 1540196476.270 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196476.270 * * [misc]simplify: iters left: 6 (8 enodes) 1540196476.271 * * [misc]simplify: iters left: 5 (14 enodes) 1540196476.274 * * [misc]simplify: iters left: 4 (23 enodes) 1540196476.276 * * [misc]simplify: iters left: 3 (25 enodes) 1540196476.279 * * [misc]simplify: iters left: 2 (30 enodes) 1540196476.282 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196476.282 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.282 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196476.283 * * [misc]simplify: iters left: 6 (14 enodes) 1540196476.284 * * [misc]simplify: iters left: 5 (18 enodes) 1540196476.287 * * [misc]simplify: iters left: 4 (24 enodes) 1540196476.290 * * [misc]simplify: iters left: 3 (26 enodes) 1540196476.293 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) 1540196476.293 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.293 * * * * [misc]progress: [ 232 / 6870 ] simplifiying candidate # 1540196476.293 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540196476.293 * * [misc]simplify: iters left: 6 (11 enodes) 1540196476.295 * * [misc]simplify: iters left: 5 (17 enodes) 1540196476.297 * * [misc]simplify: iters left: 4 (20 enodes) 1540196476.300 * * [misc]simplify: iters left: 3 (22 enodes) 1540196476.303 * * [misc]simplify: iters left: 2 (34 enodes) 1540196476.307 * * [misc]simplify: iters left: 1 (35 enodes) 1540196476.314 * [exit]simplify: Simplified to (/ (sqrt n) (fabs (cbrt (sqrt k)))) 1540196476.315 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.315 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196476.315 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.319 * * [misc]simplify: iters left: 5 (20 enodes) 1540196476.325 * * [misc]simplify: iters left: 4 (24 enodes) 1540196476.331 * * [misc]simplify: iters left: 3 (26 enodes) 1540196476.338 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (/ (- k) 2)))) 1540196476.338 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.338 * * * * [misc]progress: [ 233 / 6870 ] simplifiying candidate # 1540196476.338 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1540196476.338 * * [misc]simplify: iters left: 6 (11 enodes) 1540196476.341 * * [misc]simplify: iters left: 5 (17 enodes) 1540196476.345 * * [misc]simplify: iters left: 4 (20 enodes) 1540196476.350 * * [misc]simplify: iters left: 3 (22 enodes) 1540196476.356 * * [misc]simplify: iters left: 2 (34 enodes) 1540196476.364 * * [misc]simplify: iters left: 1 (35 enodes) 1540196476.370 * [exit]simplify: Simplified to (/ (sqrt n) (fabs (cbrt (sqrt k)))) 1540196476.370 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.370 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) 1540196476.371 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.376 * * [misc]simplify: iters left: 5 (20 enodes) 1540196476.381 * * [misc]simplify: iters left: 4 (24 enodes) 1540196476.387 * * [misc]simplify: iters left: 3 (26 enodes) 1540196476.392 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (/ (- k) 2)))) 1540196476.392 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.392 * * * * [misc]progress: [ 234 / 6870 ] simplifiying candidate # 1540196476.393 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196476.393 * * [misc]simplify: iters left: 6 (16 enodes) 1540196476.395 * * [misc]simplify: iters left: 5 (25 enodes) 1540196476.398 * * [misc]simplify: iters left: 4 (33 enodes) 1540196476.402 * * [misc]simplify: iters left: 3 (44 enodes) 1540196476.409 * * [misc]simplify: iters left: 2 (70 enodes) 1540196476.421 * * [misc]simplify: iters left: 1 (101 enodes) 1540196476.453 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196476.453 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.453 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196476.453 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.457 * * [misc]simplify: iters left: 5 (19 enodes) 1540196476.461 * * [misc]simplify: iters left: 4 (25 enodes) 1540196476.467 * * [misc]simplify: iters left: 3 (27 enodes) 1540196476.473 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196476.473 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.473 * * * * [misc]progress: [ 235 / 6870 ] simplifiying candidate # 1540196476.473 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196476.474 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.477 * * [misc]simplify: iters left: 5 (22 enodes) 1540196476.484 * * [misc]simplify: iters left: 4 (28 enodes) 1540196476.490 * * [misc]simplify: iters left: 3 (36 enodes) 1540196476.499 * * [misc]simplify: iters left: 2 (45 enodes) 1540196476.509 * * [misc]simplify: iters left: 1 (49 enodes) 1540196476.518 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) 1540196476.518 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.519 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196476.519 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.523 * * [misc]simplify: iters left: 5 (19 enodes) 1540196476.528 * * [misc]simplify: iters left: 4 (25 enodes) 1540196476.535 * * [misc]simplify: iters left: 3 (27 enodes) 1540196476.542 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196476.542 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.542 * * * * [misc]progress: [ 236 / 6870 ] simplifiying candidate # 1540196476.542 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196476.542 * * [misc]simplify: iters left: 6 (8 enodes) 1540196476.545 * * [misc]simplify: iters left: 5 (12 enodes) 1540196476.548 * * [misc]simplify: iters left: 4 (16 enodes) 1540196476.552 * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt k)))) 1540196476.552 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.552 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196476.552 * * [misc]simplify: iters left: 6 (14 enodes) 1540196476.556 * * [misc]simplify: iters left: 5 (18 enodes) 1540196476.561 * * [misc]simplify: iters left: 4 (24 enodes) 1540196476.567 * * [misc]simplify: iters left: 3 (26 enodes) 1540196476.573 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) 1540196476.574 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (fabs (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.574 * * * * [misc]progress: [ 237 / 6870 ] simplifiying candidate # 1540196476.574 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196476.574 * * [misc]simplify: iters left: 6 (10 enodes) 1540196476.577 * * [misc]simplify: iters left: 5 (15 enodes) 1540196476.580 * * [misc]simplify: iters left: 4 (18 enodes) 1540196476.585 * * [misc]simplify: iters left: 3 (20 enodes) 1540196476.591 * * [misc]simplify: iters left: 2 (32 enodes) 1540196476.599 * * [misc]simplify: iters left: 1 (40 enodes) 1540196476.607 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt (sqrt k)))) 1540196476.607 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.607 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196476.607 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.611 * * [misc]simplify: iters left: 5 (20 enodes) 1540196476.617 * * [misc]simplify: iters left: 4 (24 enodes) 1540196476.623 * * [misc]simplify: iters left: 3 (26 enodes) 1540196476.631 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- k) 2)))) 1540196476.631 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.631 * * * * [misc]progress: [ 238 / 6870 ] simplifiying candidate # 1540196476.631 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196476.631 * * [misc]simplify: iters left: 6 (10 enodes) 1540196476.634 * * [misc]simplify: iters left: 5 (15 enodes) 1540196476.638 * * [misc]simplify: iters left: 4 (18 enodes) 1540196476.643 * * [misc]simplify: iters left: 3 (20 enodes) 1540196476.649 * * [misc]simplify: iters left: 2 (32 enodes) 1540196476.657 * * [misc]simplify: iters left: 1 (40 enodes) 1540196476.664 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt (sqrt k)))) 1540196476.664 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.665 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196476.665 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.667 * * [misc]simplify: iters left: 5 (20 enodes) 1540196476.669 * * [misc]simplify: iters left: 4 (24 enodes) 1540196476.672 * * [misc]simplify: iters left: 3 (26 enodes) 1540196476.675 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- k) 2)))) 1540196476.675 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.675 * * * * [misc]progress: [ 239 / 6870 ] simplifiying candidate # 1540196476.676 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196476.676 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.678 * * [misc]simplify: iters left: 5 (23 enodes) 1540196476.681 * * [misc]simplify: iters left: 4 (31 enodes) 1540196476.685 * * [misc]simplify: iters left: 3 (42 enodes) 1540196476.691 * * [misc]simplify: iters left: 2 (68 enodes) 1540196476.708 * * [misc]simplify: iters left: 1 (117 enodes) 1540196476.762 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1540196476.762 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.762 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196476.762 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.767 * * [misc]simplify: iters left: 5 (19 enodes) 1540196476.772 * * [misc]simplify: iters left: 4 (25 enodes) 1540196476.779 * * [misc]simplify: iters left: 3 (27 enodes) 1540196476.786 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196476.786 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.786 * * * * [misc]progress: [ 240 / 6870 ] simplifiying candidate # 1540196476.786 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196476.786 * * [misc]simplify: iters left: 6 (14 enodes) 1540196476.790 * * [misc]simplify: iters left: 5 (20 enodes) 1540196476.796 * * [misc]simplify: iters left: 4 (26 enodes) 1540196476.802 * * [misc]simplify: iters left: 3 (34 enodes) 1540196476.812 * * [misc]simplify: iters left: 2 (42 enodes) 1540196476.821 * * [misc]simplify: iters left: 1 (52 enodes) 1540196476.833 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1540196476.833 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.834 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196476.834 * * [misc]simplify: iters left: 6 (15 enodes) 1540196476.838 * * [misc]simplify: iters left: 5 (19 enodes) 1540196476.843 * * [misc]simplify: iters left: 4 (25 enodes) 1540196476.850 * * [misc]simplify: iters left: 3 (27 enodes) 1540196476.857 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196476.857 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.857 * * * * [misc]progress: [ 241 / 6870 ] simplifiying candidate # 1540196476.857 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) 1)) 1540196476.857 * * [misc]simplify: iters left: 6 (7 enodes) 1540196476.859 * * [misc]simplify: iters left: 5 (11 enodes) 1540196476.863 * * [misc]simplify: iters left: 4 (17 enodes) 1540196476.866 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1540196476.867 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.867 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196476.867 * * [misc]simplify: iters left: 6 (14 enodes) 1540196476.871 * * [misc]simplify: iters left: 5 (18 enodes) 1540196476.876 * * [misc]simplify: iters left: 4 (24 enodes) 1540196476.884 * * [misc]simplify: iters left: 3 (26 enodes) 1540196476.890 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) 1540196476.890 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.890 * * * * [misc]progress: [ 242 / 6870 ] simplifiying candidate # 1540196476.891 * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (pow n 1/2))) 1540196476.891 * * [misc]simplify: iters left: 5 (7 enodes) 1540196476.894 * * [misc]simplify: iters left: 4 (12 enodes) 1540196476.897 * [exit]simplify: Simplified to (sqrt n) 1540196476.897 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.897 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196476.897 * * [misc]simplify: iters left: 6 (14 enodes) 1540196476.901 * * [misc]simplify: iters left: 5 (19 enodes) 1540196476.906 * * [misc]simplify: iters left: 4 (23 enodes) 1540196476.912 * * [misc]simplify: iters left: 3 (25 enodes) 1540196476.918 * [exit]simplify: Simplified to (/ (* (pow n (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196476.918 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt n) (/ (* (pow n (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.918 * * * * [misc]progress: [ 243 / 6870 ] simplifiying candidate # 1540196476.919 * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (pow n 1/2))) 1540196476.919 * * [misc]simplify: iters left: 5 (7 enodes) 1540196476.922 * * [misc]simplify: iters left: 4 (12 enodes) 1540196476.924 * [exit]simplify: Simplified to (sqrt n) 1540196476.924 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.924 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196476.924 * * [misc]simplify: iters left: 6 (14 enodes) 1540196476.926 * * [misc]simplify: iters left: 5 (19 enodes) 1540196476.929 * * [misc]simplify: iters left: 4 (23 enodes) 1540196476.932 * * [misc]simplify: iters left: 3 (25 enodes) 1540196476.935 * [exit]simplify: Simplified to (/ (* (pow n (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196476.935 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt n) (/ (* (pow n (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.935 * * * * [misc]progress: [ 244 / 6870 ] simplifiying candidate # 1540196476.935 * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196476.935 * * [misc]simplify: iters left: 6 (13 enodes) 1540196476.938 * * [misc]simplify: iters left: 5 (21 enodes) 1540196476.940 * * [misc]simplify: iters left: 4 (28 enodes) 1540196476.945 * * [misc]simplify: iters left: 3 (34 enodes) 1540196476.949 * * [misc]simplify: iters left: 2 (41 enodes) 1540196476.955 * * [misc]simplify: iters left: 1 (57 enodes) 1540196476.972 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196476.972 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.972 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196476.972 * * [misc]simplify: iters left: 6 (14 enodes) 1540196476.976 * * [misc]simplify: iters left: 5 (18 enodes) 1540196476.982 * * [misc]simplify: iters left: 4 (24 enodes) 1540196476.988 * * [misc]simplify: iters left: 3 (26 enodes) 1540196476.995 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196476.995 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196476.995 * * * * [misc]progress: [ 245 / 6870 ] simplifiying candidate # 1540196476.995 * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196476.995 * * [misc]simplify: iters left: 6 (12 enodes) 1540196476.999 * * [misc]simplify: iters left: 5 (18 enodes) 1540196477.005 * * [misc]simplify: iters left: 4 (22 enodes) 1540196477.011 * * [misc]simplify: iters left: 3 (25 enodes) 1540196477.016 * [exit]simplify: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 1540196477.016 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.017 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196477.017 * * [misc]simplify: iters left: 6 (14 enodes) 1540196477.021 * * [misc]simplify: iters left: 5 (18 enodes) 1540196477.026 * * [misc]simplify: iters left: 4 (24 enodes) 1540196477.032 * * [misc]simplify: iters left: 3 (26 enodes) 1540196477.038 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.038 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.039 * * * * [misc]progress: [ 246 / 6870 ] simplifiying candidate # 1540196477.039 * [enter]simplify: Simplifying (/ 1 (/ (sqrt 1) 1)) 1540196477.039 * * [misc]simplify: iters left: 5 (4 enodes) 1540196477.042 * * [misc]simplify: iters left: 4 (8 enodes) 1540196477.042 * [exit]simplify: Simplified to 1 1540196477.042 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.043 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196477.043 * * [misc]simplify: iters left: 6 (13 enodes) 1540196477.047 * * [misc]simplify: iters left: 5 (17 enodes) 1540196477.051 * * [misc]simplify: iters left: 4 (23 enodes) 1540196477.057 * * [misc]simplify: iters left: 3 (25 enodes) 1540196477.063 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196477.063 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.064 * * * * [misc]progress: [ 247 / 6870 ] simplifiying candidate # 1540196477.064 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196477.064 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.066 * * [misc]simplify: iters left: 5 (15 enodes) 1540196477.070 * * [misc]simplify: iters left: 4 (18 enodes) 1540196477.074 * * [misc]simplify: iters left: 3 (20 enodes) 1540196477.081 * * [misc]simplify: iters left: 2 (32 enodes) 1540196477.090 * * [misc]simplify: iters left: 1 (40 enodes) 1540196477.098 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt (sqrt k)))) 1540196477.098 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.099 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196477.099 * * [misc]simplify: iters left: 6 (15 enodes) 1540196477.103 * * [misc]simplify: iters left: 5 (20 enodes) 1540196477.109 * * [misc]simplify: iters left: 4 (24 enodes) 1540196477.115 * * [misc]simplify: iters left: 3 (26 enodes) 1540196477.122 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- k) 2)))) 1540196477.122 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.122 * * * * [misc]progress: [ 248 / 6870 ] simplifiying candidate # 1540196477.122 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1540196477.122 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.125 * * [misc]simplify: iters left: 5 (15 enodes) 1540196477.129 * * [misc]simplify: iters left: 4 (18 enodes) 1540196477.133 * * [misc]simplify: iters left: 3 (20 enodes) 1540196477.139 * * [misc]simplify: iters left: 2 (32 enodes) 1540196477.147 * * [misc]simplify: iters left: 1 (40 enodes) 1540196477.157 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt (sqrt k)))) 1540196477.157 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.157 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) 1540196477.157 * * [misc]simplify: iters left: 6 (15 enodes) 1540196477.161 * * [misc]simplify: iters left: 5 (20 enodes) 1540196477.167 * * [misc]simplify: iters left: 4 (24 enodes) 1540196477.173 * * [misc]simplify: iters left: 3 (26 enodes) 1540196477.180 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- k) 2)))) 1540196477.180 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- k) 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.180 * * * * [misc]progress: [ 249 / 6870 ] simplifiying candidate # 1540196477.181 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196477.181 * * [misc]simplify: iters left: 6 (15 enodes) 1540196477.185 * * [misc]simplify: iters left: 5 (23 enodes) 1540196477.191 * * [misc]simplify: iters left: 4 (31 enodes) 1540196477.200 * * [misc]simplify: iters left: 3 (42 enodes) 1540196477.208 * * [misc]simplify: iters left: 2 (68 enodes) 1540196477.219 * * [misc]simplify: iters left: 1 (117 enodes) 1540196477.251 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) 1540196477.251 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.251 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196477.251 * * [misc]simplify: iters left: 6 (15 enodes) 1540196477.254 * * [misc]simplify: iters left: 5 (19 enodes) 1540196477.257 * * [misc]simplify: iters left: 4 (25 enodes) 1540196477.260 * * [misc]simplify: iters left: 3 (27 enodes) 1540196477.264 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.264 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.264 * * * * [misc]progress: [ 250 / 6870 ] simplifiying candidate # 1540196477.264 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196477.265 * * [misc]simplify: iters left: 6 (14 enodes) 1540196477.267 * * [misc]simplify: iters left: 5 (20 enodes) 1540196477.269 * * [misc]simplify: iters left: 4 (26 enodes) 1540196477.273 * * [misc]simplify: iters left: 3 (34 enodes) 1540196477.280 * * [misc]simplify: iters left: 2 (42 enodes) 1540196477.288 * * [misc]simplify: iters left: 1 (52 enodes) 1540196477.300 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) 1540196477.300 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.301 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196477.301 * * [misc]simplify: iters left: 6 (15 enodes) 1540196477.305 * * [misc]simplify: iters left: 5 (19 enodes) 1540196477.310 * * [misc]simplify: iters left: 4 (25 enodes) 1540196477.316 * * [misc]simplify: iters left: 3 (27 enodes) 1540196477.323 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.323 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.323 * * * * [misc]progress: [ 251 / 6870 ] simplifiying candidate # 1540196477.324 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt (sqrt k))) 1)) 1540196477.324 * * [misc]simplify: iters left: 6 (7 enodes) 1540196477.326 * * [misc]simplify: iters left: 5 (11 enodes) 1540196477.329 * * [misc]simplify: iters left: 4 (17 enodes) 1540196477.333 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt k)))) 1540196477.333 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.333 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1540196477.333 * * [misc]simplify: iters left: 6 (14 enodes) 1540196477.337 * * [misc]simplify: iters left: 5 (18 enodes) 1540196477.342 * * [misc]simplify: iters left: 4 (24 enodes) 1540196477.348 * * [misc]simplify: iters left: 3 (26 enodes) 1540196477.355 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow n (- 1/2 (/ k 2)))) 1540196477.355 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.355 * * * * [misc]progress: [ 252 / 6870 ] simplifiying candidate # 1540196477.355 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n 1/2))) 1540196477.356 * * [misc]simplify: iters left: 5 (6 enodes) 1540196477.358 * * [misc]simplify: iters left: 4 (11 enodes) 1540196477.361 * * [misc]simplify: iters left: 3 (12 enodes) 1540196477.365 * * [misc]simplify: iters left: 2 (16 enodes) 1540196477.368 * [exit]simplify: Simplified to (sqrt n) 1540196477.368 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.368 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196477.368 * * [misc]simplify: iters left: 6 (14 enodes) 1540196477.372 * * [misc]simplify: iters left: 5 (19 enodes) 1540196477.374 * * [misc]simplify: iters left: 4 (23 enodes) 1540196477.378 * * [misc]simplify: iters left: 3 (25 enodes) 1540196477.381 * [exit]simplify: Simplified to (/ (* (pow n (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196477.381 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt n) (/ (* (pow n (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.381 * * * * [misc]progress: [ 253 / 6870 ] simplifiying candidate # 1540196477.381 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n 1/2))) 1540196477.381 * * [misc]simplify: iters left: 5 (6 enodes) 1540196477.383 * * [misc]simplify: iters left: 4 (11 enodes) 1540196477.384 * * [misc]simplify: iters left: 3 (12 enodes) 1540196477.386 * * [misc]simplify: iters left: 2 (16 enodes) 1540196477.387 * [exit]simplify: Simplified to (sqrt n) 1540196477.387 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.388 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) 1540196477.388 * * [misc]simplify: iters left: 6 (14 enodes) 1540196477.389 * * [misc]simplify: iters left: 5 (19 enodes) 1540196477.392 * * [misc]simplify: iters left: 4 (23 enodes) 1540196477.395 * * [misc]simplify: iters left: 3 (25 enodes) 1540196477.398 * [exit]simplify: Simplified to (/ (* (pow n (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196477.398 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt n) (/ (* (pow n (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.398 * * * * [misc]progress: [ 254 / 6870 ] simplifiying candidate # 1540196477.398 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196477.398 * * [misc]simplify: iters left: 6 (12 enodes) 1540196477.401 * * [misc]simplify: iters left: 5 (20 enodes) 1540196477.403 * * [misc]simplify: iters left: 4 (24 enodes) 1540196477.406 * * [misc]simplify: iters left: 3 (30 enodes) 1540196477.409 * * [misc]simplify: iters left: 2 (32 enodes) 1540196477.413 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.413 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.413 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196477.413 * * [misc]simplify: iters left: 6 (14 enodes) 1540196477.415 * * [misc]simplify: iters left: 5 (18 enodes) 1540196477.420 * * [misc]simplify: iters left: 4 (24 enodes) 1540196477.426 * * [misc]simplify: iters left: 3 (26 enodes) 1540196477.433 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.433 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.433 * * * * [misc]progress: [ 255 / 6870 ] simplifiying candidate # 1540196477.433 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196477.433 * * [misc]simplify: iters left: 6 (11 enodes) 1540196477.437 * * [misc]simplify: iters left: 5 (17 enodes) 1540196477.441 * * [misc]simplify: iters left: 4 (21 enodes) 1540196477.447 * * [misc]simplify: iters left: 3 (25 enodes) 1540196477.453 * [exit]simplify: Simplified to (sqrt (pow n (- 1/2 (/ k 2)))) 1540196477.453 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.453 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196477.453 * * [misc]simplify: iters left: 6 (14 enodes) 1540196477.457 * * [misc]simplify: iters left: 5 (18 enodes) 1540196477.460 * * [misc]simplify: iters left: 4 (24 enodes) 1540196477.463 * * [misc]simplify: iters left: 3 (26 enodes) 1540196477.466 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.466 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.467 * * * * [misc]progress: [ 256 / 6870 ] simplifiying candidate # 1540196477.467 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1540196477.467 * * [misc]simplify: iters left: 4 (3 enodes) 1540196477.467 * * [misc]simplify: iters left: 3 (5 enodes) 1540196477.468 * [exit]simplify: Simplified to 1 1540196477.468 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.468 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196477.468 * * [misc]simplify: iters left: 6 (13 enodes) 1540196477.470 * * [misc]simplify: iters left: 5 (17 enodes) 1540196477.472 * * [misc]simplify: iters left: 4 (23 enodes) 1540196477.476 * * [misc]simplify: iters left: 3 (25 enodes) 1540196477.479 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196477.479 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.479 * * * * [misc]progress: [ 257 / 6870 ] simplifiying candidate # 1540196477.479 * [enter]simplify: Simplifying (/ 1 1) 1540196477.479 * * [misc]simplify: iters left: 2 (2 enodes) 1540196477.479 * * [misc]simplify: iters left: 1 (4 enodes) 1540196477.480 * [exit]simplify: Simplified to 1 1540196477.480 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.480 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196477.480 * * [misc]simplify: iters left: 6 (13 enodes) 1540196477.482 * * [misc]simplify: iters left: 5 (17 enodes) 1540196477.484 * * [misc]simplify: iters left: 4 (23 enodes) 1540196477.487 * * [misc]simplify: iters left: 3 (25 enodes) 1540196477.490 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1540196477.490 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* 1 (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.490 * * * * [misc]progress: [ 258 / 6870 ] simplifiying candidate # 1540196477.490 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1540196477.490 * * [misc]simplify: iters left: 4 (5 enodes) 1540196477.491 * * [misc]simplify: iters left: 3 (7 enodes) 1540196477.492 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1540196477.492 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.492 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1540196477.492 * * [misc]simplify: iters left: 6 (12 enodes) 1540196477.496 * * [misc]simplify: iters left: 5 (18 enodes) 1540196477.500 * * [misc]simplify: iters left: 4 (24 enodes) 1540196477.504 * * [misc]simplify: iters left: 3 (34 enodes) 1540196477.508 * * [misc]simplify: iters left: 2 (36 enodes) 1540196477.511 * * [misc]simplify: iters left: 1 (41 enodes) 1540196477.516 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) 1540196477.516 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (sqrt (sqrt k))) (* (pow PI (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.516 * * * * [misc]progress: [ 259 / 6870 ] simplifiying candidate # 1540196477.516 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n 1/2))) 1540196477.516 * * [misc]simplify: iters left: 6 (9 enodes) 1540196477.518 * * [misc]simplify: iters left: 5 (14 enodes) 1540196477.519 * * [misc]simplify: iters left: 4 (17 enodes) 1540196477.521 * * [misc]simplify: iters left: 3 (19 enodes) 1540196477.524 * * [misc]simplify: iters left: 2 (31 enodes) 1540196477.528 * * [misc]simplify: iters left: 1 (39 enodes) 1540196477.533 * [exit]simplify: Simplified to (/ (sqrt n) (sqrt (sqrt k))) 1540196477.533 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (/ (sqrt n) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.533 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2))) 1540196477.533 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.536 * * [misc]simplify: iters left: 5 (12 enodes) 1540196477.539 * * [misc]simplify: iters left: 4 (15 enodes) 1540196477.544 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2))) 1540196477.544 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (sqrt n) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (pow n (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.544 * * * * [misc]progress: [ 260 / 6870 ] simplifiying candidate # 1540196477.544 * * * * [misc]progress: [ 261 / 6870 ] simplifiying candidate # 1540196477.544 * * * * [misc]progress: [ 262 / 6870 ] simplifiying candidate # 1540196477.544 * * * * [misc]progress: [ 263 / 6870 ] simplifiying candidate # 1540196477.544 * [enter]simplify: Simplifying (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196477.544 * * [misc]simplify: iters left: 6 (11 enodes) 1540196477.547 * * [misc]simplify: iters left: 5 (13 enodes) 1540196477.551 * * [misc]simplify: iters left: 4 (16 enodes) 1540196477.556 * [exit]simplify: Simplified to (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196477.556 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.556 * * * * [misc]progress: [ 264 / 6870 ] simplifiying candidate # 1540196477.556 * [enter]simplify: Simplifying (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196477.556 * * [misc]simplify: iters left: 6 (11 enodes) 1540196477.559 * * [misc]simplify: iters left: 5 (13 enodes) 1540196477.563 * * [misc]simplify: iters left: 4 (16 enodes) 1540196477.567 * [exit]simplify: Simplified to (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1540196477.567 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.567 * * * * [misc]progress: [ 265 / 6870 ] simplifiying candidate # 1540196477.568 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.568 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.571 * * [misc]simplify: iters left: 5 (12 enodes) 1540196477.575 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.575 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.575 * * * * [misc]progress: [ 266 / 6870 ] simplifiying candidate # 1540196477.576 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.576 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.578 * * [misc]simplify: iters left: 5 (12 enodes) 1540196477.582 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.582 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.582 * * * * [misc]progress: [ 267 / 6870 ] simplifiying candidate # 1540196477.582 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.582 * * [misc]simplify: iters left: 6 (12 enodes) 1540196477.586 * * [misc]simplify: iters left: 5 (14 enodes) 1540196477.590 * * [misc]simplify: iters left: 4 (17 enodes) 1540196477.593 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.593 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.593 * * * * [misc]progress: [ 268 / 6870 ] simplifiying candidate # 1540196477.593 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.593 * * [misc]simplify: iters left: 6 (12 enodes) 1540196477.595 * * [misc]simplify: iters left: 5 (14 enodes) 1540196477.597 * * [misc]simplify: iters left: 4 (17 enodes) 1540196477.599 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.599 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.599 * * * * [misc]progress: [ 269 / 6870 ] simplifiying candidate # 1540196477.600 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540196477.600 * * [misc]simplify: iters left: 6 (11 enodes) 1540196477.601 * * [misc]simplify: iters left: 5 (13 enodes) 1540196477.603 * * [misc]simplify: iters left: 4 (16 enodes) 1540196477.605 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540196477.605 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.605 * * * * [misc]progress: [ 270 / 6870 ] simplifiying candidate # 1540196477.605 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.605 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.607 * * [misc]simplify: iters left: 5 (12 enodes) 1540196477.608 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.609 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.609 * * * * [misc]progress: [ 271 / 6870 ] simplifiying candidate # 1540196477.609 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.609 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.610 * * [misc]simplify: iters left: 5 (12 enodes) 1540196477.612 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.612 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.612 * * * * [misc]progress: [ 272 / 6870 ] simplifiying candidate # 1540196477.612 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.612 * * [misc]simplify: iters left: 6 (12 enodes) 1540196477.614 * * [misc]simplify: iters left: 5 (14 enodes) 1540196477.615 * * [misc]simplify: iters left: 4 (17 enodes) 1540196477.617 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.618 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.618 * * * * [misc]progress: [ 273 / 6870 ] simplifiying candidate # 1540196477.618 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.618 * * [misc]simplify: iters left: 6 (12 enodes) 1540196477.619 * * [misc]simplify: iters left: 5 (14 enodes) 1540196477.621 * * [misc]simplify: iters left: 4 (17 enodes) 1540196477.623 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.624 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.624 * * * * [misc]progress: [ 274 / 6870 ] simplifiying candidate # 1540196477.624 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540196477.624 * * [misc]simplify: iters left: 6 (11 enodes) 1540196477.627 * * [misc]simplify: iters left: 5 (13 enodes) 1540196477.631 * * [misc]simplify: iters left: 4 (16 enodes) 1540196477.635 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540196477.635 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.635 * * * * [misc]progress: [ 275 / 6870 ] simplifiying candidate # 1540196477.635 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.635 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.638 * * [misc]simplify: iters left: 5 (12 enodes) 1540196477.640 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.640 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.640 * * * * [misc]progress: [ 276 / 6870 ] simplifiying candidate # 1540196477.641 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.641 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.642 * * [misc]simplify: iters left: 5 (12 enodes) 1540196477.644 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.644 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.644 * * * * [misc]progress: [ 277 / 6870 ] simplifiying candidate # 1540196477.644 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.644 * * [misc]simplify: iters left: 6 (12 enodes) 1540196477.646 * * [misc]simplify: iters left: 5 (14 enodes) 1540196477.647 * * [misc]simplify: iters left: 4 (17 enodes) 1540196477.649 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.650 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.650 * * * * [misc]progress: [ 278 / 6870 ] simplifiying candidate # 1540196477.650 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.650 * * [misc]simplify: iters left: 6 (12 enodes) 1540196477.651 * * [misc]simplify: iters left: 5 (14 enodes) 1540196477.653 * * [misc]simplify: iters left: 4 (17 enodes) 1540196477.655 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.656 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.656 * * * * [misc]progress: [ 279 / 6870 ] simplifiying candidate # 1540196477.656 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540196477.656 * * [misc]simplify: iters left: 6 (11 enodes) 1540196477.658 * * [misc]simplify: iters left: 5 (13 enodes) 1540196477.660 * * [misc]simplify: iters left: 4 (16 enodes) 1540196477.662 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540196477.662 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.662 * * * * [misc]progress: [ 280 / 6870 ] simplifiying candidate # 1540196477.662 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))) 1540196477.662 * * [misc]simplify: iters left: 6 (9 enodes) 1540196477.663 * * [misc]simplify: iters left: 5 (11 enodes) 1540196477.665 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))) 1540196477.665 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.665 * * * * [misc]progress: [ 281 / 6870 ] simplifiying candidate # 1540196477.665 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))) 1540196477.666 * * [misc]simplify: iters left: 6 (9 enodes) 1540196477.667 * * [misc]simplify: iters left: 5 (11 enodes) 1540196477.669 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))) 1540196477.670 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.670 * * * * [misc]progress: [ 282 / 6870 ] simplifiying candidate # 1540196477.670 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.670 * * [misc]simplify: iters left: 6 (11 enodes) 1540196477.673 * * [misc]simplify: iters left: 5 (13 enodes) 1540196477.676 * * [misc]simplify: iters left: 4 (16 enodes) 1540196477.680 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.680 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.680 * * * * [misc]progress: [ 283 / 6870 ] simplifiying candidate # 1540196477.681 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.681 * * [misc]simplify: iters left: 6 (11 enodes) 1540196477.684 * * [misc]simplify: iters left: 5 (13 enodes) 1540196477.687 * * [misc]simplify: iters left: 4 (16 enodes) 1540196477.691 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.691 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.691 * * * * [misc]progress: [ 284 / 6870 ] simplifiying candidate # 1540196477.692 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540196477.692 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.694 * * [misc]simplify: iters left: 5 (12 enodes) 1540196477.697 * * [misc]simplify: iters left: 4 (15 enodes) 1540196477.701 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540196477.701 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt 1) 1)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.701 * * * * [misc]progress: [ 285 / 6870 ] simplifiying candidate # 1540196477.702 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.702 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.704 * * [misc]simplify: iters left: 5 (12 enodes) 1540196477.708 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.708 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.708 * * * * [misc]progress: [ 286 / 6870 ] simplifiying candidate # 1540196477.708 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.708 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.711 * * [misc]simplify: iters left: 5 (12 enodes) 1540196477.714 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2)))) 1540196477.714 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.715 * * * * [misc]progress: [ 287 / 6870 ] simplifiying candidate # 1540196477.715 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.715 * * [misc]simplify: iters left: 6 (12 enodes) 1540196477.718 * * [misc]simplify: iters left: 5 (14 enodes) 1540196477.722 * * [misc]simplify: iters left: 4 (17 enodes) 1540196477.727 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.727 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.727 * * * * [misc]progress: [ 288 / 6870 ] simplifiying candidate # 1540196477.727 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.727 * * [misc]simplify: iters left: 6 (12 enodes) 1540196477.731 * * [misc]simplify: iters left: 5 (14 enodes) 1540196477.734 * * [misc]simplify: iters left: 4 (17 enodes) 1540196477.739 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.739 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.739 * * * * [misc]progress: [ 289 / 6870 ] simplifiying candidate # 1540196477.740 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540196477.740 * * [misc]simplify: iters left: 6 (11 enodes) 1540196477.743 * * [misc]simplify: iters left: 5 (13 enodes) 1540196477.746 * * [misc]simplify: iters left: 4 (16 enodes) 1540196477.750 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1540196477.750 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.750 * * * * [misc]progress: [ 290 / 6870 ] simplifiying candidate # 1540196477.751 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))) 1540196477.751 * * [misc]simplify: iters left: 6 (9 enodes) 1540196477.753 * * [misc]simplify: iters left: 5 (11 enodes) 1540196477.756 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))) 1540196477.756 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.756 * * * * [misc]progress: [ 291 / 6870 ] simplifiying candidate # 1540196477.757 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- (/ k 2)))) 1540196477.757 * * [misc]simplify: iters left: 6 (9 enodes) 1540196477.759 * * [misc]simplify: iters left: 5 (11 enodes) 1540196477.762 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (/ (- k) 2))) 1540196477.762 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt k)) (pow n (/ (- k) 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.762 * * * * [misc]progress: [ 292 / 6870 ] simplifiying candidate # 1540196477.763 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.763 * * [misc]simplify: iters left: 6 (11 enodes) 1540196477.766 * * [misc]simplify: iters left: 5 (13 enodes) 1540196477.769 * * [misc]simplify: iters left: 4 (16 enodes) 1540196477.772 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196477.772 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.772 * * * * [misc]progress: [ 293 / 6870 ] simplifiying candidate # 1540196477.772 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.772 * * [misc]simplify: iters left: 6 (11 enodes) 1540196477.774 * * [misc]simplify: iters left: 5 (13 enodes) 1540196477.776 * * [misc]simplify: iters left: 4 (16 enodes) 1540196477.777 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196477.778 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.778 * * * * [misc]progress: [ 294 / 6870 ] simplifiying candidate # 1540196477.778 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540196477.778 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.779 * * [misc]simplify: iters left: 5 (12 enodes) 1540196477.781 * * [misc]simplify: iters left: 4 (15 enodes) 1540196477.783 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540196477.783 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.783 * * * * [misc]progress: [ 295 / 6870 ] simplifiying candidate # 1540196477.783 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540196477.783 * * [misc]simplify: iters left: 6 (10 enodes) 1540196477.784 * * [misc]simplify: iters left: 5 (12 enodes) 1540196477.786 * * [misc]simplify: iters left: 4 (15 enodes) 1540196477.788 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1540196477.788 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.788 * * * * [misc]progress: [ 296 / 6870 ] simplifiying candidate # 1540196477.788 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1540196477.789 * * [misc]simplify: iters left: 6 (9 enodes) 1540196477.790 * * [misc]simplify: iters left: 5 (13 enodes) 1540196477.791 * * [misc]simplify: iters left: 4 (16 enodes) 1540196477.793 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1540196477.793 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.793 * * * * [misc]progress: [ 297 / 6870 ] simplifiying candidate # 1540196477.793 * [enter]simplify: Simplifying (pow n (/ k 2)) 1540196477.793 * * [misc]simplify: iters left: 3 (5 enodes) 1540196477.794 * [exit]simplify: Simplified to (pow n (/ k 2)) 1540196477.794 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n 1/2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.794 * * * * [misc]progress: [ 298 / 6870 ] simplifiying candidate # 1540196477.794 * [enter]simplify: Simplifying (pow PI 1/2) 1540196477.794 * * [misc]simplify: iters left: 1 (3 enodes) 1540196477.795 * [exit]simplify: Simplified to (sqrt PI) 1540196477.795 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt PI) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.795 * * * * [misc]progress: [ 299 / 6870 ] simplifiying candidate # 1540196477.795 * [enter]simplify: Simplifying (pow PI 1/2) 1540196477.795 * * [misc]simplify: iters left: 1 (3 enodes) 1540196477.796 * [exit]simplify: Simplified to (sqrt PI) 1540196477.796 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt PI) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.796 * * * * [misc]progress: [ 300 / 6870 ] simplifiying candidate # 1540196477.796 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196477.796 * * [misc]simplify: iters left: 6 (9 enodes) 1540196477.797 * * [misc]simplify: iters left: 5 (11 enodes) 1540196477.798 * * [misc]simplify: iters left: 4 (14 enodes) 1540196477.801 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1540196477.801 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.802 * * * * [misc]progress: [ 301 / 6870 ] simplifiying candidate # 1540196477.802 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1540196477.802 * * [misc]simplify: iters left: 6 (8 enodes) 1540196477.804 * * [misc]simplify: iters left: 5 (10 enodes) 1540196477.807 * * [misc]simplify: iters left: 4 (13 enodes) 1540196477.810 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1540196477.810 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.811 * * * * [misc]progress: [ 302 / 6870 ] simplifiying candidate # 1540196477.811 * * * * [misc]progress: [ 303 / 6870 ] simplifiying candidate # 1540196477.811 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1540196477.811 * * [misc]simplify: iters left: 5 (7 enodes) 1540196477.813 * * [misc]simplify: iters left: 4 (9 enodes) 1540196477.815 * * [misc]simplify: iters left: 3 (12 enodes) 1540196477.818 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1540196477.818 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.818 * * * * [misc]progress: [ 304 / 6870 ] simplifiying candidate # 1540196477.819 * [enter]simplify: Simplifying (pow PI 1/2) 1540196477.819 * * [misc]simplify: iters left: 1 (3 enodes) 1540196477.819 * [exit]simplify: Simplified to (sqrt PI) 1540196477.819 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt PI) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (pow PI (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196477.820 * * * * [misc]progress: [ 305 / 6870 ] simplifiying candidate # 1540196477.820 * * * * [misc]progress: [ 306 / 6870 ] simplifiying candidate # 1540196477.820 * [enter]simplify: Simplifying (- (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt (sqrt k))) (* (log n) (- 1/2 (/ k 2))))) (- (log (sqrt (sqrt k))) (* (log 2) (- 1/2 (/ k 2))))) 1540196477.820 * * [misc]simplify: iters left: 6 (20 enodes) 1540196477.823 * * [misc]simplify: iters left: 5 (39 enodes) 1540196477.830 * * [misc]simplify: iters left: 4 (108 enodes) 1540196477.861 * * [misc]simplify: iters left: 3 (379 enodes) 1540196478.195 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))) 1540196478.195 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))))) 1540196478.196 * * * * [misc]progress: [ 307 / 6870 ] simplifiying candidate # 1540196478.196 * [enter]simplify: Simplifying (- (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt (sqrt k))) (* (log n) (- 1/2 (/ k 2))))) (- (log (sqrt (sqrt k))) (log (pow 2 (- 1/2 (/ k 2)))))) 1540196478.196 * * [misc]simplify: iters left: 6 (20 enodes) 1540196478.199 * * [misc]simplify: iters left: 5 (40 enodes) 1540196478.206 * * [misc]simplify: iters left: 4 (102 enodes) 1540196478.243 * * [misc]simplify: iters left: 3 (339 enodes) 1540196478.537 * [exit]simplify: Simplified to (+ (- (* (log n) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k))))) 1540196478.537 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log n) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k))))))) 1540196478.538 * * * * [misc]progress: [ 308 / 6870 ] simplifiying candidate # 1540196478.538 * [enter]simplify: Simplifying (- (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt (sqrt k))) (* (log n) (- 1/2 (/ k 2))))) (log (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196478.538 * * [misc]simplify: iters left: 6 (20 enodes) 1540196478.541 * * [misc]simplify: iters left: 5 (36 enodes) 1540196478.546 * * [misc]simplify: iters left: 4 (88 enodes) 1540196478.580 * * [misc]simplify: iters left: 3 (277 enodes) 1540196478.741 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log 2) (- 1/2 (/ k 2))))) 1540196478.741 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log 2) (- 1/2 (/ k 2))))))) 1540196478.741 * * * * [misc]progress: [ 309 / 6870 ] simplifiying candidate # 1540196478.742 * [enter]simplify: Simplifying (- (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt (sqrt k))) (log (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt (sqrt k))) (* (log 2) (- 1/2 (/ k 2))))) 1540196478.742 * * [misc]simplify: iters left: 6 (20 enodes) 1540196478.749 * * [misc]simplify: iters left: 5 (40 enodes) 1540196478.762 * * [misc]simplify: iters left: 4 (102 enodes) 1540196478.814 * * [misc]simplify: iters left: 3 (331 enodes) 1540196479.119 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k))))) 1540196479.119 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k))))))) 1540196479.119 * * * * [misc]progress: [ 310 / 6870 ] simplifiying candidate # 1540196479.119 * [enter]simplify: Simplifying (- (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt (sqrt k))) (log (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt (sqrt k))) (log (pow 2 (- 1/2 (/ k 2)))))) 1540196479.119 * * [misc]simplify: iters left: 6 (20 enodes) 1540196479.126 * * [misc]simplify: iters left: 5 (41 enodes) 1540196479.139 * * [misc]simplify: iters left: 4 (96 enodes) 1540196479.177 * * [misc]simplify: iters left: 3 (293 enodes) 1540196479.393 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k))))) 1540196479.393 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k))))))) 1540196479.393 * * * * [misc]progress: [ 311 / 6870 ] simplifiying candidate # 1540196479.394 * [enter]simplify: Simplifying (- (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt (sqrt k))) (log (pow n (- 1/2 (/ k 2)))))) (log (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196479.394 * * [misc]simplify: iters left: 6 (20 enodes) 1540196479.400 * * [misc]simplify: iters left: 5 (37 enodes) 1540196479.412 * * [misc]simplify: iters left: 4 (82 enodes) 1540196479.434 * * [misc]simplify: iters left: 3 (234 enodes) 1540196479.560 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (+ (* (log 2) (+ (/ k 2) -1/2)) (log (sqrt (sqrt k))))) 1540196479.560 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (+ (* (log 2) (+ (/ k 2) -1/2)) (log (sqrt (sqrt k))))))) 1540196479.561 * * * * [misc]progress: [ 312 / 6870 ] simplifiying candidate # 1540196479.561 * [enter]simplify: Simplifying (- (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt (sqrt k))) (* (log 2) (- 1/2 (/ k 2))))) 1540196479.561 * * [misc]simplify: iters left: 6 (20 enodes) 1540196479.568 * * [misc]simplify: iters left: 5 (36 enodes) 1540196479.580 * * [misc]simplify: iters left: 4 (87 enodes) 1540196479.621 * * [misc]simplify: iters left: 3 (270 enodes) 1540196479.807 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (log n) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) 1540196479.807 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (log n) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))))) 1540196479.808 * * * * [misc]progress: [ 313 / 6870 ] simplifiying candidate # 1540196479.808 * [enter]simplify: Simplifying (- (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt (sqrt k))) (log (pow 2 (- 1/2 (/ k 2)))))) 1540196479.808 * * [misc]simplify: iters left: 6 (20 enodes) 1540196479.811 * * [misc]simplify: iters left: 5 (37 enodes) 1540196479.817 * * [misc]simplify: iters left: 4 (81 enodes) 1540196479.856 * * [misc]simplify: iters left: 3 (231 enodes) 1540196479.973 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))) 1540196479.973 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))))) 1540196479.973 * * * * [misc]progress: [ 314 / 6870 ] simplifiying candidate # 1540196479.973 * [enter]simplify: Simplifying (- (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (log (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196479.973 * * [misc]simplify: iters left: 6 (19 enodes) 1540196479.976 * * [misc]simplify: iters left: 5 (33 enodes) 1540196479.981 * * [misc]simplify: iters left: 4 (67 enodes) 1540196479.995 * * [misc]simplify: iters left: 3 (176 enodes) 1540196480.078 * * [misc]simplify: iters left: 2 (483 enodes) 1540196480.473 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k))))) 1540196480.473 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k))))))) 1540196480.473 * * * * [misc]progress: [ 315 / 6870 ] simplifiying candidate # 1540196480.473 * [enter]simplify: Simplifying (- (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt (sqrt k))) (* (log n) (- 1/2 (/ k 2))))) (- (log (sqrt (sqrt k))) (* (log 2) (- 1/2 (/ k 2))))) 1540196480.474 * * [misc]simplify: iters left: 6 (20 enodes) 1540196480.480 * * [misc]simplify: iters left: 5 (40 enodes) 1540196480.495 * * [misc]simplify: iters left: 4 (104 enodes) 1540196480.548 * * [misc]simplify: iters left: 3 (328 enodes) 1540196480.844 * [exit]simplify: Simplified to (+ (- (* (log n) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k))))) 1540196480.844 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log n) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k))))))) 1540196480.844 * * * * [misc]progress: [ 316 / 6870 ] simplifiying candidate # 1540196480.845 * [enter]simplify: Simplifying (- (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt (sqrt k))) (* (log n) (- 1/2 (/ k 2))))) (- (log (sqrt (sqrt k))) (log (pow 2 (- 1/2 (/ k 2)))))) 1540196480.845 * * [misc]simplify: iters left: 6 (20 enodes) 1540196480.848 * * [misc]simplify: iters left: 5 (41 enodes) 1540196480.861 * * [misc]simplify: iters left: 4 (98 enodes) 1540196480.905 * * [misc]simplify: iters left: 3 (290 enodes) 1540196481.168 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))) 1540196481.168 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))))) 1540196481.168 * * * * [misc]progress: [ 317 / 6870 ] simplifiying candidate # 1540196481.168 * [enter]simplify: Simplifying (- (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt (sqrt k))) (* (log n) (- 1/2 (/ k 2))))) (log (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196481.168 * * [misc]simplify: iters left: 6 (20 enodes) 1540196481.172 * * [misc]simplify: iters left: 5 (37 enodes) 1540196481.184 * * [misc]simplify: iters left: 4 (84 enodes) 1540196481.226 * * [misc]simplify: iters left: 3 (235 enodes) 1540196481.389 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (+ (log (sqrt (sqrt k))) (* (+ -1/2 (/ k 2)) (log 2)))) 1540196481.389 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (+ (log (sqrt (sqrt k))) (* (+ -1/2 (/ k 2)) (log 2)))))) 1540196481.390 * * * * [misc]progress: [ 318 / 6870 ] simplifiying candidate # 1540196481.390 * [enter]simplify: Simplifying (- (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt (sqrt k))) (log (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt (sqrt k))) (* (log 2) (- 1/2 (/ k 2))))) 1540196481.390 * * [misc]simplify: iters left: 6 (20 enodes) 1540196481.396 * * [misc]simplify: iters left: 5 (41 enodes) 1540196481.403 * * [misc]simplify: iters left: 4 (98 enodes) 1540196481.426 * * [misc]simplify: iters left: 3 (282 enodes) 1540196481.697 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))) 1540196481.697 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))))) 1540196481.697 * * * * [misc]progress: [ 319 / 6870 ] simplifiying candidate # 1540196481.698 * [enter]simplify: Simplifying (- (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt (sqrt k))) (log (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt (sqrt k))) (log (pow 2 (- 1/2 (/ k 2)))))) 1540196481.698 * * [misc]simplify: iters left: 6 (20 enodes) 1540196481.709 * * [misc]simplify: iters left: 5 (42 enodes) 1540196481.724 * * [misc]simplify: iters left: 4 (92 enodes) 1540196481.764 * * [misc]simplify: iters left: 3 (242 enodes) 1540196481.942 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (log n) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))) 1540196481.943 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (log n) (- 1/2 (/ k 2))) (log (sqrt (sqrt k))))))) 1540196481.943 * * * * [misc]progress: [ 320 / 6870 ] simplifiying candidate # 1540196481.943 * [enter]simplify: Simplifying (- (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt (sqrt k))) (log (pow n (- 1/2 (/ k 2)))))) (log (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196481.943 * * [misc]simplify: iters left: 6 (20 enodes) 1540196481.949 * * [misc]simplify: iters left: 5 (38 enodes) 1540196481.961 * * [misc]simplify: iters left: 4 (78 enodes) 1540196481.980 * * [misc]simplify: iters left: 3 (192 enodes) 1540196482.122 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (+ (log (sqrt (sqrt k))) (* (log 2) (+ (/ k 2) -1/2)))) 1540196482.122 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k)))) (+ (log (sqrt (sqrt k))) (* (log 2) (+ (/ k 2) -1/2)))))) 1540196482.122 * * * * [misc]progress: [ 321 / 6870 ] simplifiying candidate # 1540196482.123 * [enter]simplify: Simplifying (- (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt (sqrt k))) (* (log 2) (- 1/2 (/ k 2))))) 1540196482.123 * * [misc]simplify: iters left: 6 (20 enodes) 1540196482.130 * * [misc]simplify: iters left: 5 (37 enodes) 1540196482.142 * * [misc]simplify: iters left: 4 (83 enodes) 1540196482.177 * * [misc]simplify: iters left: 3 (224 enodes) 1540196482.340 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))) 1540196482.340 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))))) 1540196482.340 * * * * [misc]progress: [ 322 / 6870 ] simplifiying candidate # 1540196482.340 * [enter]simplify: Simplifying (- (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt (sqrt k))) (log (pow 2 (- 1/2 (/ k 2)))))) 1540196482.340 * * [misc]simplify: iters left: 6 (20 enodes) 1540196482.347 * * [misc]simplify: iters left: 5 (38 enodes) 1540196482.358 * * [misc]simplify: iters left: 4 (77 enodes) 1540196482.373 * * [misc]simplify: iters left: 3 (185 enodes) 1540196482.491 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))) 1540196482.491 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))))) 1540196482.492 * * * * [misc]progress: [ 323 / 6870 ] simplifiying candidate # 1540196482.492 * [enter]simplify: Simplifying (- (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (log (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196482.492 * * [misc]simplify: iters left: 6 (19 enodes) 1540196482.498 * * [misc]simplify: iters left: 5 (34 enodes) 1540196482.508 * * [misc]simplify: iters left: 4 (63 enodes) 1540196482.530 * * [misc]simplify: iters left: 3 (138 enodes) 1540196482.579 * * [misc]simplify: iters left: 2 (396 enodes) 1540196482.860 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))) 1540196482.860 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (log n)) (log (sqrt (sqrt k))))))) 1540196482.860 * * * * [misc]progress: [ 324 / 6870 ] simplifiying candidate # 1540196482.861 * [enter]simplify: Simplifying (- (log (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt (sqrt k))) (* (log 2) (- 1/2 (/ k 2))))) 1540196482.864 * * [misc]simplify: iters left: 6 (19 enodes) 1540196482.867 * * [misc]simplify: iters left: 5 (33 enodes) 1540196482.873 * * [misc]simplify: iters left: 4 (73 enodes) 1540196482.886 * * [misc]simplify: iters left: 3 (182 enodes) 1540196482.960 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log n) (- 1/2 (/ k 2))))) 1540196482.960 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log n) (- 1/2 (/ k 2))))))) 1540196482.960 * * * * [misc]progress: [ 325 / 6870 ] simplifiying candidate # 1540196482.961 * [enter]simplify: Simplifying (- (log (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (- (log (sqrt (sqrt k))) (log (pow 2 (- 1/2 (/ k 2)))))) 1540196482.961 * * [misc]simplify: iters left: 6 (19 enodes) 1540196482.964 * * [misc]simplify: iters left: 5 (34 enodes) 1540196482.970 * * [misc]simplify: iters left: 4 (67 enodes) 1540196482.994 * * [misc]simplify: iters left: 3 (147 enodes) 1540196483.074 * * [misc]simplify: iters left: 2 (415 enodes) 1540196483.335 * [exit]simplify: Simplified to (+ (- (* (log 2) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k))))) 1540196483.336 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log 2) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log n) (log PI))) (log (sqrt (sqrt k))))))) 1540196483.336 * * * * [misc]progress: [ 326 / 6870 ] simplifiying candidate # 1540196483.336 * [enter]simplify: Simplifying (- (log (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (log (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196483.336 * * [misc]simplify: iters left: 6 (18 enodes) 1540196483.342 * * [misc]simplify: iters left: 5 (30 enodes) 1540196483.351 * * [misc]simplify: iters left: 4 (55 enodes) 1540196483.361 * * [misc]simplify: iters left: 3 (108 enodes) 1540196483.382 * * [misc]simplify: iters left: 2 (245 enodes) 1540196483.547 * [exit]simplify: Simplified to (+ (- (* (log n) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k))))) 1540196483.547 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (log n) (- 1/2 (/ k 2))) (log (sqrt (sqrt k)))) (- (* (- 1/2 (/ k 2)) (+ (log 2) (log PI))) (log (sqrt (sqrt k))))))) 1540196483.547 * * * * [misc]progress: [ 327 / 6870 ] simplifiying candidate # 1540196483.547 * * * * [misc]progress: [ 328 / 6870 ] simplifiying candidate # 1540196483.547 * * * * [misc]progress: [ 329 / 6870 ] simplifiying candidate # 1540196483.547 * [enter]simplify: Simplifying (/ (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1540196483.548 * * [misc]simplify: iters left: 6 (24 enodes) 1540196483.556 * * [misc]simplify: iters left: 5 (52 enodes) 1540196483.578 * * [misc]simplify: iters left: 4 (212 enodes) 1540196483.832 * [exit]simplify: Simplified to (/ (* (pow (pow 2 (- 1/2 (/ k 2))) 3) (pow (pow PI (- 1/2 (/ k 2))) 3)) (/ (* (* (sqrt (sqrt k)) (sqrt k)) (* (sqrt (sqrt k)) (sqrt k))) (pow (pow n (- 1/2 (/ k 2))) 3))) 1540196483.832 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (pow 2 (- 1/2 (/ k 2))) 3) (pow (pow PI (- 1/2 (/ k 2))) 3)) (/ (* (* (sqrt (sqrt k)) (sqrt k)) (* (sqrt (sqrt k)) (sqrt k))) (pow (pow n (- 1/2 (/ k 2))) 3))))) 1540196483.833 * * * * [misc]progress: [ 330 / 6870 ] simplifiying candidate # 1540196483.833 * [enter]simplify: Simplifying (/ (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))))) (* (* (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196483.833 * * [misc]simplify: iters left: 6 (24 enodes) 1540196483.842 * * [misc]simplify: iters left: 5 (51 enodes) 1540196483.863 * * [misc]simplify: iters left: 4 (190 enodes) 1540196484.023 * [exit]simplify: Simplified to (/ (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (* (/ (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))))) 1540196484.023 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) (* (/ (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (* (pow n (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))))))) 1540196484.023 * * * * [misc]progress: [ 331 / 6870 ] simplifiying candidate # 1540196484.024 * [enter]simplify: Simplifying (/ (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1540196484.024 * * [misc]simplify: iters left: 6 (24 enodes) 1540196484.036 * * [misc]simplify: iters left: 5 (54 enodes) 1540196484.048 * * [misc]simplify: iters left: 4 (202 enodes) 1540196484.172 * [exit]simplify: Simplified to (/ (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (* (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow n (- 1/2 (/ k 2)))))) 1540196484.172 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (* (/ (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt k) (pow n (- 1/2 (/ k 2)))))))) 1540196484.172 * * * * [misc]progress: [ 332 / 6870 ] simplifiying candidate # 1540196484.173 * [enter]simplify: Simplifying (/ (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (* (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196484.173 * * [misc]simplify: iters left: 6 (22 enodes) 1540196484.176 * * [misc]simplify: iters left: 5 (50 enodes) 1540196484.186 * * [misc]simplify: iters left: 4 (172 enodes) 1540196484.313 * [exit]simplify: Simplified to (/ (* (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (/ (* (sqrt k) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196484.313 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (/ (* (sqrt k) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))))) 1540196484.313 * * * * [misc]progress: [ 333 / 6870 ] simplifiying candidate # 1540196484.314 * [enter]simplify: Simplifying (/ (* (* (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1540196484.314 * * [misc]simplify: iters left: 6 (22 enodes) 1540196484.322 * * [misc]simplify: iters left: 5 (46 enodes) 1540196484.344 * * [misc]simplify: iters left: 4 (169 enodes) 1540196484.496 * [exit]simplify: Simplified to (* (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt k) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196484.497 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt k) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))) (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196484.497 * * * * [misc]progress: [ 334 / 6870 ] simplifiying candidate # 1540196484.497 * [enter]simplify: Simplifying (/ (* (* (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (* (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196484.497 * * [misc]simplify: iters left: 6 (20 enodes) 1540196484.500 * * [misc]simplify: iters left: 5 (45 enodes) 1540196484.510 * * [misc]simplify: iters left: 4 (161 enodes) 1540196484.613 * [exit]simplify: Simplified to (pow (* (pow 2 (- 1/2 (/ k 2))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k))) 3) 1540196484.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (* (pow 2 (- 1/2 (/ k 2))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k))) 3))) 1540196484.613 * * * * [misc]progress: [ 335 / 6870 ] simplifiying candidate # 1540196484.613 * * * * [misc]progress: [ 336 / 6870 ] simplifiying candidate # 1540196484.613 * * * * [misc]progress: [ 337 / 6870 ] simplifiying candidate # 1540196484.613 * * * * [misc]progress: [ 338 / 6870 ] simplifiying candidate # 1540196484.614 * * * * [misc]progress: [ 339 / 6870 ] simplifiying candidate # 1540196484.614 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196484.614 * * [misc]simplify: iters left: 6 (20 enodes) 1540196484.618 * * [misc]simplify: iters left: 5 (30 enodes) 1540196484.628 * * [misc]simplify: iters left: 4 (45 enodes) 1540196484.640 * * [misc]simplify: iters left: 3 (50 enodes) 1540196484.652 * * [misc]simplify: iters left: 2 (53 enodes) 1540196484.669 * [exit]simplify: Simplified to (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196484.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196484.669 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196484.670 * * [misc]simplify: iters left: 6 (18 enodes) 1540196484.675 * * [misc]simplify: iters left: 5 (22 enodes) 1540196484.682 * * [misc]simplify: iters left: 4 (28 enodes) 1540196484.690 * * [misc]simplify: iters left: 3 (30 enodes) 1540196484.698 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196484.698 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196484.698 * * * * [misc]progress: [ 340 / 6870 ] simplifiying candidate # 1540196484.698 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196484.699 * * [misc]simplify: iters left: 6 (19 enodes) 1540196484.704 * * [misc]simplify: iters left: 5 (25 enodes) 1540196484.711 * * [misc]simplify: iters left: 4 (33 enodes) 1540196484.720 * * [misc]simplify: iters left: 3 (36 enodes) 1540196484.730 * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540196484.730 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196484.730 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196484.730 * * [misc]simplify: iters left: 6 (18 enodes) 1540196484.736 * * [misc]simplify: iters left: 5 (22 enodes) 1540196484.742 * * [misc]simplify: iters left: 4 (28 enodes) 1540196484.750 * * [misc]simplify: iters left: 3 (30 enodes) 1540196484.757 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196484.758 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196484.758 * * * * [misc]progress: [ 341 / 6870 ] simplifiying candidate # 1540196484.758 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196484.758 * * [misc]simplify: iters left: 6 (20 enodes) 1540196484.765 * * [misc]simplify: iters left: 5 (31 enodes) 1540196484.775 * * [misc]simplify: iters left: 4 (52 enodes) 1540196484.793 * * [misc]simplify: iters left: 3 (95 enodes) 1540196484.829 * * [misc]simplify: iters left: 2 (152 enodes) 1540196484.887 * * [misc]simplify: iters left: 1 (183 enodes) 1540196484.957 * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (sqrt 2) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196484.957 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (sqrt 2) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196484.957 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196484.957 * * [misc]simplify: iters left: 6 (19 enodes) 1540196484.963 * * [misc]simplify: iters left: 5 (26 enodes) 1540196484.970 * * [misc]simplify: iters left: 4 (33 enodes) 1540196484.979 * * [misc]simplify: iters left: 3 (37 enodes) 1540196484.984 * [exit]simplify: Simplified to (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196484.984 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (sqrt 2) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196484.984 * * * * [misc]progress: [ 342 / 6870 ] simplifiying candidate # 1540196484.984 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196484.984 * * [misc]simplify: iters left: 6 (20 enodes) 1540196484.988 * * [misc]simplify: iters left: 5 (31 enodes) 1540196484.993 * * [misc]simplify: iters left: 4 (52 enodes) 1540196485.001 * * [misc]simplify: iters left: 3 (95 enodes) 1540196485.029 * * [misc]simplify: iters left: 2 (152 enodes) 1540196485.084 * * [misc]simplify: iters left: 1 (183 enodes) 1540196485.131 * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (sqrt 2) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196485.131 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (sqrt 2) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196485.131 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196485.131 * * [misc]simplify: iters left: 6 (19 enodes) 1540196485.134 * * [misc]simplify: iters left: 5 (26 enodes) 1540196485.139 * * [misc]simplify: iters left: 4 (33 enodes) 1540196485.148 * * [misc]simplify: iters left: 3 (37 enodes) 1540196485.159 * [exit]simplify: Simplified to (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196485.159 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (sqrt 2) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196485.159 * * * * [misc]progress: [ 343 / 6870 ] simplifiying candidate # 1540196485.159 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196485.160 * * [misc]simplify: iters left: 6 (22 enodes) 1540196485.166 * * [misc]simplify: iters left: 5 (36 enodes) 1540196485.172 * * [misc]simplify: iters left: 4 (73 enodes) 1540196485.186 * * [misc]simplify: iters left: 3 (146 enodes) 1540196485.233 * * [misc]simplify: iters left: 2 (277 enodes) 1540196485.381 * * [misc]simplify: iters left: 1 (400 enodes) 1540196485.592 * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196485.593 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196485.593 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196485.593 * * [misc]simplify: iters left: 6 (19 enodes) 1540196485.596 * * [misc]simplify: iters left: 5 (25 enodes) 1540196485.600 * * [misc]simplify: iters left: 4 (34 enodes) 1540196485.604 * * [misc]simplify: iters left: 3 (38 enodes) 1540196485.610 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196485.610 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196485.610 * * * * [misc]progress: [ 344 / 6870 ] simplifiying candidate # 1540196485.611 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196485.611 * * [misc]simplify: iters left: 6 (21 enodes) 1540196485.617 * * [misc]simplify: iters left: 5 (31 enodes) 1540196485.626 * * [misc]simplify: iters left: 4 (52 enodes) 1540196485.643 * * [misc]simplify: iters left: 3 (95 enodes) 1540196485.678 * * [misc]simplify: iters left: 2 (152 enodes) 1540196485.734 * * [misc]simplify: iters left: 1 (181 enodes) 1540196485.802 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196485.802 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196485.802 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196485.802 * * [misc]simplify: iters left: 6 (19 enodes) 1540196485.807 * * [misc]simplify: iters left: 5 (25 enodes) 1540196485.814 * * [misc]simplify: iters left: 4 (34 enodes) 1540196485.823 * * [misc]simplify: iters left: 3 (38 enodes) 1540196485.833 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196485.833 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196485.833 * * * * [misc]progress: [ 345 / 6870 ] simplifiying candidate # 1540196485.834 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196485.834 * * [misc]simplify: iters left: 6 (20 enodes) 1540196485.840 * * [misc]simplify: iters left: 5 (32 enodes) 1540196485.850 * * [misc]simplify: iters left: 4 (56 enodes) 1540196485.867 * * [misc]simplify: iters left: 3 (101 enodes) 1540196485.907 * * [misc]simplify: iters left: 2 (279 enodes) 1540196486.040 * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1540196486.040 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196486.040 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196486.041 * * [misc]simplify: iters left: 6 (18 enodes) 1540196486.043 * * [misc]simplify: iters left: 5 (24 enodes) 1540196486.049 * * [misc]simplify: iters left: 4 (33 enodes) 1540196486.059 * * [misc]simplify: iters left: 3 (37 enodes) 1540196486.068 * [exit]simplify: Simplified to (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196486.068 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196486.069 * * * * [misc]progress: [ 346 / 6870 ] simplifiying candidate # 1540196486.069 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196486.069 * * [misc]simplify: iters left: 6 (21 enodes) 1540196486.076 * * [misc]simplify: iters left: 5 (31 enodes) 1540196486.085 * * [misc]simplify: iters left: 4 (44 enodes) 1540196486.102 * * [misc]simplify: iters left: 3 (58 enodes) 1540196486.118 * * [misc]simplify: iters left: 2 (70 enodes) 1540196486.132 * * [misc]simplify: iters left: 1 (76 enodes) 1540196486.143 * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) (* (sqrt 2) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196486.143 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) (* (sqrt 2) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196486.143 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196486.143 * * [misc]simplify: iters left: 6 (20 enodes) 1540196486.146 * * [misc]simplify: iters left: 5 (27 enodes) 1540196486.149 * * [misc]simplify: iters left: 4 (34 enodes) 1540196486.154 * * [misc]simplify: iters left: 3 (38 enodes) 1540196486.158 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196486.158 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) (* (sqrt 2) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196486.158 * * * * [misc]progress: [ 347 / 6870 ] simplifiying candidate # 1540196486.158 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196486.159 * * [misc]simplify: iters left: 6 (21 enodes) 1540196486.162 * * [misc]simplify: iters left: 5 (31 enodes) 1540196486.168 * * [misc]simplify: iters left: 4 (44 enodes) 1540196486.177 * * [misc]simplify: iters left: 3 (58 enodes) 1540196486.192 * * [misc]simplify: iters left: 2 (70 enodes) 1540196486.204 * * [misc]simplify: iters left: 1 (76 enodes) 1540196486.215 * [exit]simplify: Simplified to (* (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) (* (sqrt 2) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196486.215 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) (* (sqrt 2) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196486.215 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196486.216 * * [misc]simplify: iters left: 6 (20 enodes) 1540196486.218 * * [misc]simplify: iters left: 5 (27 enodes) 1540196486.222 * * [misc]simplify: iters left: 4 (34 enodes) 1540196486.226 * * [misc]simplify: iters left: 3 (38 enodes) 1540196486.234 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196486.234 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) (* (sqrt 2) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196486.234 * * * * [misc]progress: [ 348 / 6870 ] simplifiying candidate # 1540196486.234 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196486.235 * * [misc]simplify: iters left: 6 (23 enodes) 1540196486.241 * * [misc]simplify: iters left: 5 (34 enodes) 1540196486.251 * * [misc]simplify: iters left: 4 (51 enodes) 1540196486.265 * * [misc]simplify: iters left: 3 (79 enodes) 1540196486.288 * * [misc]simplify: iters left: 2 (118 enodes) 1540196486.313 * * [misc]simplify: iters left: 1 (149 enodes) 1540196486.347 * [exit]simplify: Simplified to (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (/ (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1540196486.347 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (/ (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196486.347 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196486.347 * * [misc]simplify: iters left: 6 (20 enodes) 1540196486.352 * * [misc]simplify: iters left: 5 (26 enodes) 1540196486.360 * * [misc]simplify: iters left: 4 (35 enodes) 1540196486.368 * * [misc]simplify: iters left: 3 (39 enodes) 1540196486.377 * [exit]simplify: Simplified to (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196486.378 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (/ (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196486.378 * * * * [misc]progress: [ 349 / 6870 ] simplifiying candidate # 1540196486.378 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196486.378 * * [misc]simplify: iters left: 6 (22 enodes) 1540196486.384 * * [misc]simplify: iters left: 5 (31 enodes) 1540196486.392 * * [misc]simplify: iters left: 4 (44 enodes) 1540196486.404 * * [misc]simplify: iters left: 3 (58 enodes) 1540196486.420 * * [misc]simplify: iters left: 2 (70 enodes) 1540196486.438 * * [misc]simplify: iters left: 1 (76 enodes) 1540196486.459 * [exit]simplify: Simplified to (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) 1540196486.459 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196486.460 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196486.460 * * [misc]simplify: iters left: 6 (20 enodes) 1540196486.465 * * [misc]simplify: iters left: 5 (26 enodes) 1540196486.472 * * [misc]simplify: iters left: 4 (35 enodes) 1540196486.481 * * [misc]simplify: iters left: 3 (39 enodes) 1540196486.485 * [exit]simplify: Simplified to (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196486.485 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196486.486 * * * * [misc]progress: [ 350 / 6870 ] simplifiying candidate # 1540196486.486 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196486.486 * * [misc]simplify: iters left: 6 (21 enodes) 1540196486.489 * * [misc]simplify: iters left: 5 (31 enodes) 1540196486.494 * * [misc]simplify: iters left: 4 (44 enodes) 1540196486.499 * * [misc]simplify: iters left: 3 (61 enodes) 1540196486.508 * * [misc]simplify: iters left: 2 (71 enodes) 1540196486.519 * * [misc]simplify: iters left: 1 (74 enodes) 1540196486.534 * [exit]simplify: Simplified to (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540196486.534 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196486.534 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196486.535 * * [misc]simplify: iters left: 6 (19 enodes) 1540196486.537 * * [misc]simplify: iters left: 5 (25 enodes) 1540196486.541 * * [misc]simplify: iters left: 4 (34 enodes) 1540196486.545 * * [misc]simplify: iters left: 3 (38 enodes) 1540196486.550 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196486.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (fabs (cbrt (sqrt k)))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196486.550 * * * * [misc]progress: [ 351 / 6870 ] simplifiying candidate # 1540196486.550 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196486.551 * * [misc]simplify: iters left: 6 (19 enodes) 1540196486.554 * * [misc]simplify: iters left: 5 (28 enodes) 1540196486.558 * * [misc]simplify: iters left: 4 (41 enodes) 1540196486.569 * * [misc]simplify: iters left: 3 (55 enodes) 1540196486.584 * * [misc]simplify: iters left: 2 (67 enodes) 1540196486.593 * * [misc]simplify: iters left: 1 (73 enodes) 1540196486.604 * [exit]simplify: Simplified to (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) 1540196486.604 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196486.604 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196486.605 * * [misc]simplify: iters left: 6 (19 enodes) 1540196486.607 * * [misc]simplify: iters left: 5 (26 enodes) 1540196486.611 * * [misc]simplify: iters left: 4 (33 enodes) 1540196486.616 * * [misc]simplify: iters left: 3 (37 enodes) 1540196486.621 * [exit]simplify: Simplified to (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196486.621 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196486.621 * * * * [misc]progress: [ 352 / 6870 ] simplifiying candidate # 1540196486.621 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196486.621 * * [misc]simplify: iters left: 6 (19 enodes) 1540196486.625 * * [misc]simplify: iters left: 5 (28 enodes) 1540196486.630 * * [misc]simplify: iters left: 4 (41 enodes) 1540196486.636 * * [misc]simplify: iters left: 3 (55 enodes) 1540196486.644 * * [misc]simplify: iters left: 2 (67 enodes) 1540196486.655 * * [misc]simplify: iters left: 1 (73 enodes) 1540196486.666 * [exit]simplify: Simplified to (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) 1540196486.666 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196486.666 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196486.666 * * [misc]simplify: iters left: 6 (19 enodes) 1540196486.669 * * [misc]simplify: iters left: 5 (26 enodes) 1540196486.673 * * [misc]simplify: iters left: 4 (33 enodes) 1540196486.677 * * [misc]simplify: iters left: 3 (37 enodes) 1540196486.682 * [exit]simplify: Simplified to (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196486.682 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196486.682 * * * * [misc]progress: [ 353 / 6870 ] simplifiying candidate # 1540196486.683 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196486.683 * * [misc]simplify: iters left: 6 (21 enodes) 1540196486.686 * * [misc]simplify: iters left: 5 (31 enodes) 1540196486.690 * * [misc]simplify: iters left: 4 (48 enodes) 1540196486.707 * * [misc]simplify: iters left: 3 (76 enodes) 1540196486.730 * * [misc]simplify: iters left: 2 (115 enodes) 1540196486.766 * * [misc]simplify: iters left: 1 (146 enodes) 1540196486.790 * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540196486.790 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196486.790 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196486.790 * * [misc]simplify: iters left: 6 (19 enodes) 1540196486.793 * * [misc]simplify: iters left: 5 (25 enodes) 1540196486.798 * * [misc]simplify: iters left: 4 (34 enodes) 1540196486.807 * * [misc]simplify: iters left: 3 (38 enodes) 1540196486.816 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196486.816 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196486.817 * * * * [misc]progress: [ 354 / 6870 ] simplifiying candidate # 1540196486.817 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196486.817 * * [misc]simplify: iters left: 6 (20 enodes) 1540196486.823 * * [misc]simplify: iters left: 5 (28 enodes) 1540196486.831 * * [misc]simplify: iters left: 4 (41 enodes) 1540196486.843 * * [misc]simplify: iters left: 3 (55 enodes) 1540196486.857 * * [misc]simplify: iters left: 2 (67 enodes) 1540196486.875 * * [misc]simplify: iters left: 1 (73 enodes) 1540196486.897 * [exit]simplify: Simplified to (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196486.897 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196486.897 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196486.898 * * [misc]simplify: iters left: 6 (19 enodes) 1540196486.903 * * [misc]simplify: iters left: 5 (25 enodes) 1540196486.910 * * [misc]simplify: iters left: 4 (34 enodes) 1540196486.915 * * [misc]simplify: iters left: 3 (38 enodes) 1540196486.920 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196486.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196486.920 * * * * [misc]progress: [ 355 / 6870 ] simplifiying candidate # 1540196486.921 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196486.921 * * [misc]simplify: iters left: 6 (19 enodes) 1540196486.923 * * [misc]simplify: iters left: 5 (29 enodes) 1540196486.929 * * [misc]simplify: iters left: 4 (43 enodes) 1540196486.934 * * [misc]simplify: iters left: 3 (56 enodes) 1540196486.941 * * [misc]simplify: iters left: 2 (57 enodes) 1540196486.951 * * [misc]simplify: iters left: 1 (63 enodes) 1540196486.966 * [exit]simplify: Simplified to (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540196486.966 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196486.966 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196486.966 * * [misc]simplify: iters left: 6 (18 enodes) 1540196486.971 * * [misc]simplify: iters left: 5 (24 enodes) 1540196486.978 * * [misc]simplify: iters left: 4 (33 enodes) 1540196486.987 * * [misc]simplify: iters left: 3 (37 enodes) 1540196486.997 * [exit]simplify: Simplified to (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196486.997 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196486.997 * * * * [misc]progress: [ 356 / 6870 ] simplifiying candidate # 1540196486.997 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196486.998 * * [misc]simplify: iters left: 6 (20 enodes) 1540196487.005 * * [misc]simplify: iters left: 5 (31 enodes) 1540196487.016 * * [misc]simplify: iters left: 4 (44 enodes) 1540196487.029 * * [misc]simplify: iters left: 3 (61 enodes) 1540196487.045 * * [misc]simplify: iters left: 2 (88 enodes) 1540196487.075 * * [misc]simplify: iters left: 1 (167 enodes) 1540196487.145 * [exit]simplify: Simplified to (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt 2)) 1540196487.145 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt 2)) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196487.145 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196487.145 * * [misc]simplify: iters left: 6 (18 enodes) 1540196487.151 * * [misc]simplify: iters left: 5 (25 enodes) 1540196487.154 * * [misc]simplify: iters left: 4 (32 enodes) 1540196487.159 * * [misc]simplify: iters left: 3 (36 enodes) 1540196487.163 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196487.163 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt 2)) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196487.164 * * * * [misc]progress: [ 357 / 6870 ] simplifiying candidate # 1540196487.164 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196487.164 * * [misc]simplify: iters left: 6 (20 enodes) 1540196487.168 * * [misc]simplify: iters left: 5 (31 enodes) 1540196487.172 * * [misc]simplify: iters left: 4 (44 enodes) 1540196487.181 * * [misc]simplify: iters left: 3 (61 enodes) 1540196487.197 * * [misc]simplify: iters left: 2 (88 enodes) 1540196487.213 * * [misc]simplify: iters left: 1 (167 enodes) 1540196487.258 * [exit]simplify: Simplified to (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt 2)) 1540196487.258 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt 2)) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196487.258 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196487.258 * * [misc]simplify: iters left: 6 (18 enodes) 1540196487.261 * * [misc]simplify: iters left: 5 (25 enodes) 1540196487.264 * * [misc]simplify: iters left: 4 (32 enodes) 1540196487.268 * * [misc]simplify: iters left: 3 (36 enodes) 1540196487.274 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196487.274 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (sqrt 2)) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196487.274 * * * * [misc]progress: [ 358 / 6870 ] simplifiying candidate # 1540196487.274 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196487.274 * * [misc]simplify: iters left: 6 (22 enodes) 1540196487.278 * * [misc]simplify: iters left: 5 (34 enodes) 1540196487.282 * * [misc]simplify: iters left: 4 (52 enodes) 1540196487.291 * * [misc]simplify: iters left: 3 (81 enodes) 1540196487.315 * * [misc]simplify: iters left: 2 (165 enodes) 1540196487.380 * * [misc]simplify: iters left: 1 (399 enodes) 1540196487.708 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196487.708 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196487.708 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196487.708 * * [misc]simplify: iters left: 6 (18 enodes) 1540196487.711 * * [misc]simplify: iters left: 5 (24 enodes) 1540196487.714 * * [misc]simplify: iters left: 4 (33 enodes) 1540196487.722 * * [misc]simplify: iters left: 3 (37 enodes) 1540196487.731 * [exit]simplify: Simplified to (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196487.731 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196487.731 * * * * [misc]progress: [ 359 / 6870 ] simplifiying candidate # 1540196487.732 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196487.732 * * [misc]simplify: iters left: 6 (21 enodes) 1540196487.738 * * [misc]simplify: iters left: 5 (31 enodes) 1540196487.747 * * [misc]simplify: iters left: 4 (44 enodes) 1540196487.757 * * [misc]simplify: iters left: 3 (61 enodes) 1540196487.766 * * [misc]simplify: iters left: 2 (114 enodes) 1540196487.793 * * [misc]simplify: iters left: 1 (266 enodes) 1540196487.881 * [exit]simplify: Simplified to (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196487.881 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196487.881 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196487.882 * * [misc]simplify: iters left: 6 (18 enodes) 1540196487.886 * * [misc]simplify: iters left: 5 (24 enodes) 1540196487.893 * * [misc]simplify: iters left: 4 (33 enodes) 1540196487.901 * * [misc]simplify: iters left: 3 (37 enodes) 1540196487.910 * [exit]simplify: Simplified to (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196487.910 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196487.910 * * * * [misc]progress: [ 360 / 6870 ] simplifiying candidate # 1540196487.910 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) 1)) 1540196487.910 * * [misc]simplify: iters left: 6 (19 enodes) 1540196487.914 * * [misc]simplify: iters left: 5 (29 enodes) 1540196487.918 * * [misc]simplify: iters left: 4 (35 enodes) 1540196487.922 * * [misc]simplify: iters left: 3 (46 enodes) 1540196487.928 * * [misc]simplify: iters left: 2 (51 enodes) 1540196487.934 * * [misc]simplify: iters left: 1 (62 enodes) 1540196487.951 * [exit]simplify: Simplified to (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540196487.951 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196487.952 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196487.952 * * [misc]simplify: iters left: 6 (17 enodes) 1540196487.957 * * [misc]simplify: iters left: 5 (23 enodes) 1540196487.963 * * [misc]simplify: iters left: 4 (32 enodes) 1540196487.967 * * [misc]simplify: iters left: 3 (36 enodes) 1540196487.971 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196487.971 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196487.972 * * * * [misc]progress: [ 361 / 6870 ] simplifiying candidate # 1540196487.972 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196487.972 * * [misc]simplify: iters left: 6 (19 enodes) 1540196487.976 * * [misc]simplify: iters left: 5 (28 enodes) 1540196487.981 * * [misc]simplify: iters left: 4 (41 enodes) 1540196487.987 * * [misc]simplify: iters left: 3 (55 enodes) 1540196487.994 * * [misc]simplify: iters left: 2 (67 enodes) 1540196488.003 * * [misc]simplify: iters left: 1 (73 enodes) 1540196488.014 * [exit]simplify: Simplified to (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) 1540196488.014 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196488.014 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196488.015 * * [misc]simplify: iters left: 6 (19 enodes) 1540196488.017 * * [misc]simplify: iters left: 5 (26 enodes) 1540196488.020 * * [misc]simplify: iters left: 4 (33 enodes) 1540196488.024 * * [misc]simplify: iters left: 3 (37 enodes) 1540196488.029 * [exit]simplify: Simplified to (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196488.029 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196488.029 * * * * [misc]progress: [ 362 / 6870 ] simplifiying candidate # 1540196488.029 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196488.029 * * [misc]simplify: iters left: 6 (19 enodes) 1540196488.033 * * [misc]simplify: iters left: 5 (28 enodes) 1540196488.037 * * [misc]simplify: iters left: 4 (41 enodes) 1540196488.043 * * [misc]simplify: iters left: 3 (55 enodes) 1540196488.056 * * [misc]simplify: iters left: 2 (67 enodes) 1540196488.065 * * [misc]simplify: iters left: 1 (73 enodes) 1540196488.079 * [exit]simplify: Simplified to (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) 1540196488.079 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196488.080 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196488.080 * * [misc]simplify: iters left: 6 (19 enodes) 1540196488.085 * * [misc]simplify: iters left: 5 (26 enodes) 1540196488.092 * * [misc]simplify: iters left: 4 (33 enodes) 1540196488.101 * * [misc]simplify: iters left: 3 (37 enodes) 1540196488.111 * [exit]simplify: Simplified to (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196488.111 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196488.111 * * * * [misc]progress: [ 363 / 6870 ] simplifiying candidate # 1540196488.111 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196488.112 * * [misc]simplify: iters left: 6 (21 enodes) 1540196488.118 * * [misc]simplify: iters left: 5 (31 enodes) 1540196488.127 * * [misc]simplify: iters left: 4 (48 enodes) 1540196488.140 * * [misc]simplify: iters left: 3 (76 enodes) 1540196488.163 * * [misc]simplify: iters left: 2 (115 enodes) 1540196488.203 * * [misc]simplify: iters left: 1 (146 enodes) 1540196488.251 * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540196488.251 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196488.252 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196488.252 * * [misc]simplify: iters left: 6 (19 enodes) 1540196488.257 * * [misc]simplify: iters left: 5 (25 enodes) 1540196488.264 * * [misc]simplify: iters left: 4 (34 enodes) 1540196488.273 * * [misc]simplify: iters left: 3 (38 enodes) 1540196488.283 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196488.283 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196488.283 * * * * [misc]progress: [ 364 / 6870 ] simplifiying candidate # 1540196488.284 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196488.284 * * [misc]simplify: iters left: 6 (20 enodes) 1540196488.290 * * [misc]simplify: iters left: 5 (28 enodes) 1540196488.298 * * [misc]simplify: iters left: 4 (41 enodes) 1540196488.309 * * [misc]simplify: iters left: 3 (55 enodes) 1540196488.324 * * [misc]simplify: iters left: 2 (67 enodes) 1540196488.341 * * [misc]simplify: iters left: 1 (73 enodes) 1540196488.362 * [exit]simplify: Simplified to (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196488.362 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196488.363 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196488.363 * * [misc]simplify: iters left: 6 (19 enodes) 1540196488.368 * * [misc]simplify: iters left: 5 (25 enodes) 1540196488.375 * * [misc]simplify: iters left: 4 (34 enodes) 1540196488.383 * * [misc]simplify: iters left: 3 (38 enodes) 1540196488.388 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196488.388 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196488.388 * * * * [misc]progress: [ 365 / 6870 ] simplifiying candidate # 1540196488.388 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196488.388 * * [misc]simplify: iters left: 6 (19 enodes) 1540196488.391 * * [misc]simplify: iters left: 5 (29 enodes) 1540196488.395 * * [misc]simplify: iters left: 4 (43 enodes) 1540196488.400 * * [misc]simplify: iters left: 3 (56 enodes) 1540196488.407 * * [misc]simplify: iters left: 2 (57 enodes) 1540196488.412 * * [misc]simplify: iters left: 1 (63 enodes) 1540196488.419 * [exit]simplify: Simplified to (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540196488.419 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196488.419 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196488.419 * * [misc]simplify: iters left: 6 (18 enodes) 1540196488.422 * * [misc]simplify: iters left: 5 (24 enodes) 1540196488.425 * * [misc]simplify: iters left: 4 (33 enodes) 1540196488.432 * * [misc]simplify: iters left: 3 (37 enodes) 1540196488.441 * [exit]simplify: Simplified to (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196488.442 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt (sqrt k)))) (cbrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196488.442 * * * * [misc]progress: [ 366 / 6870 ] simplifiying candidate # 1540196488.442 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196488.442 * * [misc]simplify: iters left: 6 (19 enodes) 1540196488.449 * * [misc]simplify: iters left: 5 (30 enodes) 1540196488.459 * * [misc]simplify: iters left: 4 (43 enodes) 1540196488.467 * * [misc]simplify: iters left: 3 (60 enodes) 1540196488.476 * * [misc]simplify: iters left: 2 (108 enodes) 1540196488.511 * * [misc]simplify: iters left: 1 (253 enodes) 1540196488.584 * [exit]simplify: Simplified to (* (sqrt 2) (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196488.584 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt 2) (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196488.585 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196488.585 * * [misc]simplify: iters left: 6 (18 enodes) 1540196488.590 * * [misc]simplify: iters left: 5 (25 enodes) 1540196488.599 * * [misc]simplify: iters left: 4 (32 enodes) 1540196488.607 * * [misc]simplify: iters left: 3 (36 enodes) 1540196488.616 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196488.616 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt 2) (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196488.616 * * * * [misc]progress: [ 367 / 6870 ] simplifiying candidate # 1540196488.617 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196488.617 * * [misc]simplify: iters left: 6 (19 enodes) 1540196488.621 * * [misc]simplify: iters left: 5 (30 enodes) 1540196488.626 * * [misc]simplify: iters left: 4 (43 enodes) 1540196488.632 * * [misc]simplify: iters left: 3 (60 enodes) 1540196488.641 * * [misc]simplify: iters left: 2 (108 enodes) 1540196488.677 * * [misc]simplify: iters left: 1 (253 enodes) 1540196488.750 * [exit]simplify: Simplified to (* (sqrt 2) (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196488.750 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt 2) (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196488.750 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196488.750 * * [misc]simplify: iters left: 6 (18 enodes) 1540196488.753 * * [misc]simplify: iters left: 5 (25 enodes) 1540196488.756 * * [misc]simplify: iters left: 4 (32 enodes) 1540196488.764 * * [misc]simplify: iters left: 3 (36 enodes) 1540196488.773 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196488.773 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt 2) (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196488.773 * * * * [misc]progress: [ 368 / 6870 ] simplifiying candidate # 1540196488.774 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196488.774 * * [misc]simplify: iters left: 6 (21 enodes) 1540196488.780 * * [misc]simplify: iters left: 5 (33 enodes) 1540196488.789 * * [misc]simplify: iters left: 4 (50 enodes) 1540196488.804 * * [misc]simplify: iters left: 3 (79 enodes) 1540196488.831 * * [misc]simplify: iters left: 2 (189 enodes) 1540196488.980 * [exit]simplify: Simplified to (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196488.981 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196488.981 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196488.981 * * [misc]simplify: iters left: 6 (18 enodes) 1540196488.986 * * [misc]simplify: iters left: 5 (24 enodes) 1540196488.995 * * [misc]simplify: iters left: 4 (33 enodes) 1540196489.005 * * [misc]simplify: iters left: 3 (37 enodes) 1540196489.014 * [exit]simplify: Simplified to (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.015 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.015 * * * * [misc]progress: [ 369 / 6870 ] simplifiying candidate # 1540196489.015 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.015 * * [misc]simplify: iters left: 6 (20 enodes) 1540196489.021 * * [misc]simplify: iters left: 5 (30 enodes) 1540196489.029 * * [misc]simplify: iters left: 4 (43 enodes) 1540196489.041 * * [misc]simplify: iters left: 3 (60 enodes) 1540196489.055 * * [misc]simplify: iters left: 2 (83 enodes) 1540196489.079 * * [misc]simplify: iters left: 1 (144 enodes) 1540196489.141 * [exit]simplify: Simplified to (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540196489.141 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.142 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.142 * * [misc]simplify: iters left: 6 (18 enodes) 1540196489.147 * * [misc]simplify: iters left: 5 (24 enodes) 1540196489.153 * * [misc]simplify: iters left: 4 (33 enodes) 1540196489.162 * * [misc]simplify: iters left: 3 (37 enodes) 1540196489.171 * [exit]simplify: Simplified to (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (cbrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.171 * * * * [misc]progress: [ 370 / 6870 ] simplifiying candidate # 1540196489.171 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 1)) 1540196489.172 * * [misc]simplify: iters left: 6 (18 enodes) 1540196489.176 * * [misc]simplify: iters left: 5 (26 enodes) 1540196489.179 * * [misc]simplify: iters left: 4 (32 enodes) 1540196489.183 * * [misc]simplify: iters left: 3 (42 enodes) 1540196489.188 * * [misc]simplify: iters left: 2 (44 enodes) 1540196489.193 * * [misc]simplify: iters left: 1 (51 enodes) 1540196489.199 * [exit]simplify: Simplified to (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540196489.199 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196489.199 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196489.199 * * [misc]simplify: iters left: 6 (17 enodes) 1540196489.201 * * [misc]simplify: iters left: 5 (23 enodes) 1540196489.205 * * [misc]simplify: iters left: 4 (32 enodes) 1540196489.209 * * [misc]simplify: iters left: 3 (36 enodes) 1540196489.213 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196489.213 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196489.213 * * * * [misc]progress: [ 371 / 6870 ] simplifiying candidate # 1540196489.213 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1) 1540196489.213 * * [misc]simplify: iters left: 6 (17 enodes) 1540196489.216 * * [misc]simplify: iters left: 5 (25 enodes) 1540196489.221 * * [misc]simplify: iters left: 4 (37 enodes) 1540196489.227 * * [misc]simplify: iters left: 3 (41 enodes) 1540196489.231 * * [misc]simplify: iters left: 2 (46 enodes) 1540196489.237 * [exit]simplify: Simplified to (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540196489.237 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196489.237 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196489.237 * * [misc]simplify: iters left: 6 (17 enodes) 1540196489.239 * * [misc]simplify: iters left: 5 (23 enodes) 1540196489.242 * * [misc]simplify: iters left: 4 (32 enodes) 1540196489.246 * * [misc]simplify: iters left: 3 (36 enodes) 1540196489.250 * [exit]simplify: Simplified to (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196489.250 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196489.251 * * * * [misc]progress: [ 372 / 6870 ] simplifiying candidate # 1540196489.251 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) 1540196489.251 * * [misc]simplify: iters left: 6 (16 enodes) 1540196489.253 * * [misc]simplify: iters left: 5 (22 enodes) 1540196489.256 * * [misc]simplify: iters left: 4 (30 enodes) 1540196489.260 * * [misc]simplify: iters left: 3 (33 enodes) 1540196489.269 * [exit]simplify: Simplified to (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) 1540196489.269 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (sqrt k)))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196489.269 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196489.269 * * [misc]simplify: iters left: 6 (18 enodes) 1540196489.275 * * [misc]simplify: iters left: 5 (26 enodes) 1540196489.280 * * [misc]simplify: iters left: 4 (35 enodes) 1540196489.286 * * [misc]simplify: iters left: 3 (47 enodes) 1540196489.291 * * [misc]simplify: iters left: 2 (49 enodes) 1540196489.296 * * [misc]simplify: iters left: 1 (54 enodes) 1540196489.302 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196489.302 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))))) 1540196489.302 * * * * [misc]progress: [ 373 / 6870 ] simplifiying candidate # 1540196489.302 * [enter]simplify: Simplifying (/ (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196489.302 * * [misc]simplify: iters left: 6 (18 enodes) 1540196489.305 * * [misc]simplify: iters left: 5 (27 enodes) 1540196489.311 * * [misc]simplify: iters left: 4 (40 enodes) 1540196489.318 * * [misc]simplify: iters left: 3 (54 enodes) 1540196489.325 * * [misc]simplify: iters left: 2 (66 enodes) 1540196489.334 * * [misc]simplify: iters left: 1 (72 enodes) 1540196489.344 * [exit]simplify: Simplified to (* (/ (sqrt 2) (sqrt (sqrt k))) (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196489.344 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (sqrt (sqrt k))) (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196489.345 * [enter]simplify: Simplifying (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196489.345 * * [misc]simplify: iters left: 6 (16 enodes) 1540196489.347 * * [misc]simplify: iters left: 5 (20 enodes) 1540196489.349 * * [misc]simplify: iters left: 4 (26 enodes) 1540196489.353 * * [misc]simplify: iters left: 3 (28 enodes) 1540196489.356 * [exit]simplify: Simplified to (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196489.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (sqrt (sqrt k))) (* (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196489.356 * * * * [misc]progress: [ 374 / 6870 ] simplifiying candidate # 1540196489.356 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196489.357 * * [misc]simplify: iters left: 6 (19 enodes) 1540196489.359 * * [misc]simplify: iters left: 5 (25 enodes) 1540196489.362 * * [misc]simplify: iters left: 4 (31 enodes) 1540196489.366 * * [misc]simplify: iters left: 3 (33 enodes) 1540196489.370 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196489.370 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.371 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196489.371 * * [misc]simplify: iters left: 6 (18 enodes) 1540196489.373 * * [misc]simplify: iters left: 5 (22 enodes) 1540196489.376 * * [misc]simplify: iters left: 4 (28 enodes) 1540196489.381 * * [misc]simplify: iters left: 3 (30 enodes) 1540196489.389 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196489.390 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.390 * * * * [misc]progress: [ 375 / 6870 ] simplifiying candidate # 1540196489.390 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196489.390 * * [misc]simplify: iters left: 6 (18 enodes) 1540196489.396 * * [misc]simplify: iters left: 5 (22 enodes) 1540196489.402 * * [misc]simplify: iters left: 4 (28 enodes) 1540196489.409 * * [misc]simplify: iters left: 3 (30 enodes) 1540196489.417 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196489.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.417 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196489.418 * * [misc]simplify: iters left: 6 (18 enodes) 1540196489.423 * * [misc]simplify: iters left: 5 (22 enodes) 1540196489.429 * * [misc]simplify: iters left: 4 (28 enodes) 1540196489.437 * * [misc]simplify: iters left: 3 (30 enodes) 1540196489.445 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196489.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.445 * * * * [misc]progress: [ 376 / 6870 ] simplifiying candidate # 1540196489.445 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196489.446 * * [misc]simplify: iters left: 6 (19 enodes) 1540196489.452 * * [misc]simplify: iters left: 5 (28 enodes) 1540196489.456 * * [misc]simplify: iters left: 4 (41 enodes) 1540196489.462 * * [misc]simplify: iters left: 3 (55 enodes) 1540196489.469 * * [misc]simplify: iters left: 2 (60 enodes) 1540196489.477 * * [misc]simplify: iters left: 1 (67 enodes) 1540196489.485 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2))) 1540196489.485 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196489.486 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196489.486 * * [misc]simplify: iters left: 6 (19 enodes) 1540196489.489 * * [misc]simplify: iters left: 5 (26 enodes) 1540196489.493 * * [misc]simplify: iters left: 4 (33 enodes) 1540196489.497 * * [misc]simplify: iters left: 3 (37 enodes) 1540196489.501 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196489.501 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2))) (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196489.501 * * * * [misc]progress: [ 377 / 6870 ] simplifiying candidate # 1540196489.502 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196489.502 * * [misc]simplify: iters left: 6 (19 enodes) 1540196489.507 * * [misc]simplify: iters left: 5 (28 enodes) 1540196489.515 * * [misc]simplify: iters left: 4 (41 enodes) 1540196489.526 * * [misc]simplify: iters left: 3 (55 enodes) 1540196489.540 * * [misc]simplify: iters left: 2 (60 enodes) 1540196489.548 * * [misc]simplify: iters left: 1 (67 enodes) 1540196489.556 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2))) 1540196489.556 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196489.556 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196489.557 * * [misc]simplify: iters left: 6 (19 enodes) 1540196489.559 * * [misc]simplify: iters left: 5 (26 enodes) 1540196489.562 * * [misc]simplify: iters left: 4 (33 enodes) 1540196489.566 * * [misc]simplify: iters left: 3 (37 enodes) 1540196489.571 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196489.571 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt 2))) (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196489.571 * * * * [misc]progress: [ 378 / 6870 ] simplifiying candidate # 1540196489.571 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196489.571 * * [misc]simplify: iters left: 6 (21 enodes) 1540196489.574 * * [misc]simplify: iters left: 5 (33 enodes) 1540196489.584 * * [misc]simplify: iters left: 4 (57 enodes) 1540196489.600 * * [misc]simplify: iters left: 3 (84 enodes) 1540196489.624 * * [misc]simplify: iters left: 2 (116 enodes) 1540196489.655 * * [misc]simplify: iters left: 1 (139 enodes) 1540196489.685 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540196489.686 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.686 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.686 * * [misc]simplify: iters left: 6 (19 enodes) 1540196489.688 * * [misc]simplify: iters left: 5 (25 enodes) 1540196489.693 * * [misc]simplify: iters left: 4 (34 enodes) 1540196489.697 * * [misc]simplify: iters left: 3 (38 enodes) 1540196489.702 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.702 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.702 * * * * [misc]progress: [ 379 / 6870 ] simplifiying candidate # 1540196489.702 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.702 * * [misc]simplify: iters left: 6 (20 enodes) 1540196489.705 * * [misc]simplify: iters left: 5 (28 enodes) 1540196489.709 * * [misc]simplify: iters left: 4 (41 enodes) 1540196489.714 * * [misc]simplify: iters left: 3 (55 enodes) 1540196489.721 * * [misc]simplify: iters left: 2 (60 enodes) 1540196489.728 * * [misc]simplify: iters left: 1 (67 enodes) 1540196489.736 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.736 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.736 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.736 * * [misc]simplify: iters left: 6 (19 enodes) 1540196489.739 * * [misc]simplify: iters left: 5 (25 enodes) 1540196489.745 * * [misc]simplify: iters left: 4 (34 enodes) 1540196489.754 * * [misc]simplify: iters left: 3 (38 enodes) 1540196489.763 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.763 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.763 * * * * [misc]progress: [ 380 / 6870 ] simplifiying candidate # 1540196489.763 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196489.763 * * [misc]simplify: iters left: 6 (19 enodes) 1540196489.768 * * [misc]simplify: iters left: 5 (29 enodes) 1540196489.772 * * [misc]simplify: iters left: 4 (46 enodes) 1540196489.779 * * [misc]simplify: iters left: 3 (54 enodes) 1540196489.785 * * [misc]simplify: iters left: 2 (75 enodes) 1540196489.797 * * [misc]simplify: iters left: 1 (97 enodes) 1540196489.811 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196489.811 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196489.812 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196489.812 * * [misc]simplify: iters left: 6 (18 enodes) 1540196489.817 * * [misc]simplify: iters left: 5 (24 enodes) 1540196489.823 * * [misc]simplify: iters left: 4 (33 enodes) 1540196489.831 * * [misc]simplify: iters left: 3 (37 enodes) 1540196489.838 * [exit]simplify: Simplified to (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196489.838 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196489.838 * * * * [misc]progress: [ 381 / 6870 ] simplifiying candidate # 1540196489.838 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196489.839 * * [misc]simplify: iters left: 6 (20 enodes) 1540196489.842 * * [misc]simplify: iters left: 5 (28 enodes) 1540196489.847 * * [misc]simplify: iters left: 4 (37 enodes) 1540196489.852 * * [misc]simplify: iters left: 3 (41 enodes) 1540196489.858 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196489.858 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196489.858 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196489.859 * * [misc]simplify: iters left: 6 (20 enodes) 1540196489.861 * * [misc]simplify: iters left: 5 (27 enodes) 1540196489.866 * * [misc]simplify: iters left: 4 (34 enodes) 1540196489.871 * * [misc]simplify: iters left: 3 (38 enodes) 1540196489.876 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196489.876 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196489.876 * * * * [misc]progress: [ 382 / 6870 ] simplifiying candidate # 1540196489.876 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196489.876 * * [misc]simplify: iters left: 6 (20 enodes) 1540196489.879 * * [misc]simplify: iters left: 5 (28 enodes) 1540196489.883 * * [misc]simplify: iters left: 4 (37 enodes) 1540196489.888 * * [misc]simplify: iters left: 3 (41 enodes) 1540196489.894 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196489.894 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196489.894 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196489.894 * * [misc]simplify: iters left: 6 (20 enodes) 1540196489.899 * * [misc]simplify: iters left: 5 (27 enodes) 1540196489.906 * * [misc]simplify: iters left: 4 (34 enodes) 1540196489.915 * * [misc]simplify: iters left: 3 (38 enodes) 1540196489.924 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196489.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196489.924 * * * * [misc]progress: [ 383 / 6870 ] simplifiying candidate # 1540196489.925 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196489.925 * * [misc]simplify: iters left: 6 (22 enodes) 1540196489.931 * * [misc]simplify: iters left: 5 (31 enodes) 1540196489.939 * * [misc]simplify: iters left: 4 (42 enodes) 1540196489.950 * * [misc]simplify: iters left: 3 (53 enodes) 1540196489.962 * * [misc]simplify: iters left: 2 (61 enodes) 1540196489.969 * * [misc]simplify: iters left: 1 (63 enodes) 1540196489.977 * [exit]simplify: Simplified to (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (fabs (cbrt (sqrt k)))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540196489.977 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (fabs (cbrt (sqrt k)))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.978 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.978 * * [misc]simplify: iters left: 6 (20 enodes) 1540196489.980 * * [misc]simplify: iters left: 5 (26 enodes) 1540196489.984 * * [misc]simplify: iters left: 4 (35 enodes) 1540196489.988 * * [misc]simplify: iters left: 3 (39 enodes) 1540196489.994 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.994 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (fabs (cbrt (sqrt k)))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196489.994 * * * * [misc]progress: [ 384 / 6870 ] simplifiying candidate # 1540196489.995 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196489.995 * * [misc]simplify: iters left: 6 (21 enodes) 1540196490.001 * * [misc]simplify: iters left: 5 (28 enodes) 1540196490.008 * * [misc]simplify: iters left: 4 (37 enodes) 1540196490.017 * * [misc]simplify: iters left: 3 (41 enodes) 1540196490.027 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.028 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.028 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.028 * * [misc]simplify: iters left: 6 (20 enodes) 1540196490.034 * * [misc]simplify: iters left: 5 (26 enodes) 1540196490.041 * * [misc]simplify: iters left: 4 (35 enodes) 1540196490.050 * * [misc]simplify: iters left: 3 (39 enodes) 1540196490.061 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.061 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.061 * * * * [misc]progress: [ 385 / 6870 ] simplifiying candidate # 1540196490.062 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196490.062 * * [misc]simplify: iters left: 6 (20 enodes) 1540196490.068 * * [misc]simplify: iters left: 5 (28 enodes) 1540196490.076 * * [misc]simplify: iters left: 4 (38 enodes) 1540196490.085 * * [misc]simplify: iters left: 3 (44 enodes) 1540196490.096 * * [misc]simplify: iters left: 2 (49 enodes) 1540196490.107 * * [misc]simplify: iters left: 1 (52 enodes) 1540196490.113 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) 1540196490.113 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196490.113 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196490.113 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.116 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.119 * * [misc]simplify: iters left: 4 (34 enodes) 1540196490.124 * * [misc]simplify: iters left: 3 (38 enodes) 1540196490.128 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196490.128 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (fabs (cbrt (sqrt k)))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196490.128 * * * * [misc]progress: [ 386 / 6870 ] simplifiying candidate # 1540196490.129 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196490.129 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.132 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.136 * * [misc]simplify: iters left: 4 (34 enodes) 1540196490.141 * * [misc]simplify: iters left: 3 (38 enodes) 1540196490.152 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) 1540196490.152 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196490.152 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196490.153 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.158 * * [misc]simplify: iters left: 5 (26 enodes) 1540196490.165 * * [misc]simplify: iters left: 4 (33 enodes) 1540196490.174 * * [misc]simplify: iters left: 3 (37 enodes) 1540196490.183 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196490.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196490.184 * * * * [misc]progress: [ 387 / 6870 ] simplifiying candidate # 1540196490.184 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196490.184 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.190 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.194 * * [misc]simplify: iters left: 4 (34 enodes) 1540196490.200 * * [misc]simplify: iters left: 3 (38 enodes) 1540196490.206 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) 1540196490.206 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196490.206 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196490.206 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.208 * * [misc]simplify: iters left: 5 (26 enodes) 1540196490.212 * * [misc]simplify: iters left: 4 (33 enodes) 1540196490.216 * * [misc]simplify: iters left: 3 (37 enodes) 1540196490.220 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196490.220 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196490.220 * * * * [misc]progress: [ 388 / 6870 ] simplifiying candidate # 1540196490.221 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196490.221 * * [misc]simplify: iters left: 6 (20 enodes) 1540196490.223 * * [misc]simplify: iters left: 5 (28 enodes) 1540196490.227 * * [misc]simplify: iters left: 4 (39 enodes) 1540196490.238 * * [misc]simplify: iters left: 3 (50 enodes) 1540196490.250 * * [misc]simplify: iters left: 2 (58 enodes) 1540196490.264 * * [misc]simplify: iters left: 1 (60 enodes) 1540196490.279 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196490.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.280 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.280 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.285 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.291 * * [misc]simplify: iters left: 4 (34 enodes) 1540196490.296 * * [misc]simplify: iters left: 3 (38 enodes) 1540196490.302 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.302 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.302 * * * * [misc]progress: [ 389 / 6870 ] simplifiying candidate # 1540196490.302 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.303 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.305 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.309 * * [misc]simplify: iters left: 4 (34 enodes) 1540196490.313 * * [misc]simplify: iters left: 3 (38 enodes) 1540196490.318 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.318 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.319 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.319 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.321 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.325 * * [misc]simplify: iters left: 4 (34 enodes) 1540196490.330 * * [misc]simplify: iters left: 3 (38 enodes) 1540196490.335 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.335 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.335 * * * * [misc]progress: [ 390 / 6870 ] simplifiying candidate # 1540196490.335 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196490.336 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.338 * * [misc]simplify: iters left: 5 (26 enodes) 1540196490.342 * * [misc]simplify: iters left: 4 (39 enodes) 1540196490.347 * * [misc]simplify: iters left: 3 (45 enodes) 1540196490.352 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt (sqrt k)))) 1540196490.352 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196490.352 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196490.352 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.355 * * [misc]simplify: iters left: 5 (24 enodes) 1540196490.358 * * [misc]simplify: iters left: 4 (33 enodes) 1540196490.362 * * [misc]simplify: iters left: 3 (37 enodes) 1540196490.367 * [exit]simplify: Simplified to (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196490.367 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196490.367 * * * * [misc]progress: [ 391 / 6870 ] simplifiying candidate # 1540196490.367 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196490.367 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.371 * * [misc]simplify: iters left: 5 (28 enodes) 1540196490.376 * * [misc]simplify: iters left: 4 (37 enodes) 1540196490.383 * * [misc]simplify: iters left: 3 (49 enodes) 1540196490.397 * * [misc]simplify: iters left: 2 (58 enodes) 1540196490.410 * * [misc]simplify: iters left: 1 (61 enodes) 1540196490.422 * [exit]simplify: Simplified to (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt 2)) 1540196490.422 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt 2)) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196490.422 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196490.422 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.424 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.428 * * [misc]simplify: iters left: 4 (32 enodes) 1540196490.432 * * [misc]simplify: iters left: 3 (36 enodes) 1540196490.436 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196490.436 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt 2)) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196490.436 * * * * [misc]progress: [ 392 / 6870 ] simplifiying candidate # 1540196490.437 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196490.437 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.440 * * [misc]simplify: iters left: 5 (28 enodes) 1540196490.444 * * [misc]simplify: iters left: 4 (37 enodes) 1540196490.450 * * [misc]simplify: iters left: 3 (49 enodes) 1540196490.456 * * [misc]simplify: iters left: 2 (58 enodes) 1540196490.463 * * [misc]simplify: iters left: 1 (61 enodes) 1540196490.470 * [exit]simplify: Simplified to (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt 2)) 1540196490.470 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt 2)) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196490.470 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196490.470 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.474 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.477 * * [misc]simplify: iters left: 4 (32 enodes) 1540196490.481 * * [misc]simplify: iters left: 3 (36 enodes) 1540196490.486 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196490.486 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt 2)) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196490.486 * * * * [misc]progress: [ 393 / 6870 ] simplifiying candidate # 1540196490.486 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196490.486 * * [misc]simplify: iters left: 6 (21 enodes) 1540196490.490 * * [misc]simplify: iters left: 5 (31 enodes) 1540196490.494 * * [misc]simplify: iters left: 4 (43 enodes) 1540196490.500 * * [misc]simplify: iters left: 3 (61 enodes) 1540196490.511 * * [misc]simplify: iters left: 2 (75 enodes) 1540196490.530 * * [misc]simplify: iters left: 1 (92 enodes) 1540196490.553 * [exit]simplify: Simplified to (* (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.553 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.553 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.553 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.559 * * [misc]simplify: iters left: 5 (24 enodes) 1540196490.566 * * [misc]simplify: iters left: 4 (33 enodes) 1540196490.574 * * [misc]simplify: iters left: 3 (37 enodes) 1540196490.585 * [exit]simplify: Simplified to (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.585 * * * * [misc]progress: [ 394 / 6870 ] simplifiying candidate # 1540196490.585 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.585 * * [misc]simplify: iters left: 6 (20 enodes) 1540196490.592 * * [misc]simplify: iters left: 5 (28 enodes) 1540196490.599 * * [misc]simplify: iters left: 4 (37 enodes) 1540196490.609 * * [misc]simplify: iters left: 3 (49 enodes) 1540196490.621 * * [misc]simplify: iters left: 2 (58 enodes) 1540196490.632 * * [misc]simplify: iters left: 1 (61 enodes) 1540196490.644 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196490.644 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.644 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.645 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.650 * * [misc]simplify: iters left: 5 (24 enodes) 1540196490.656 * * [misc]simplify: iters left: 4 (33 enodes) 1540196490.665 * * [misc]simplify: iters left: 3 (37 enodes) 1540196490.674 * [exit]simplify: Simplified to (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.674 * * * * [misc]progress: [ 395 / 6870 ] simplifiying candidate # 1540196490.675 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540196490.675 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.681 * * [misc]simplify: iters left: 5 (26 enodes) 1540196490.687 * * [misc]simplify: iters left: 4 (32 enodes) 1540196490.695 * * [misc]simplify: iters left: 3 (37 enodes) 1540196490.702 * * [misc]simplify: iters left: 2 (38 enodes) 1540196490.710 * * [misc]simplify: iters left: 1 (40 enodes) 1540196490.715 * [exit]simplify: Simplified to (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196490.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196490.716 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196490.716 * * [misc]simplify: iters left: 6 (17 enodes) 1540196490.718 * * [misc]simplify: iters left: 5 (23 enodes) 1540196490.722 * * [misc]simplify: iters left: 4 (32 enodes) 1540196490.726 * * [misc]simplify: iters left: 3 (36 enodes) 1540196490.731 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196490.731 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196490.731 * * * * [misc]progress: [ 396 / 6870 ] simplifiying candidate # 1540196490.731 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196490.731 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.735 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.739 * * [misc]simplify: iters left: 4 (34 enodes) 1540196490.744 * * [misc]simplify: iters left: 3 (38 enodes) 1540196490.749 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) 1540196490.749 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196490.750 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196490.750 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.752 * * [misc]simplify: iters left: 5 (26 enodes) 1540196490.756 * * [misc]simplify: iters left: 4 (33 enodes) 1540196490.760 * * [misc]simplify: iters left: 3 (37 enodes) 1540196490.764 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196490.765 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196490.765 * * * * [misc]progress: [ 397 / 6870 ] simplifiying candidate # 1540196490.765 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196490.765 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.768 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.772 * * [misc]simplify: iters left: 4 (34 enodes) 1540196490.778 * * [misc]simplify: iters left: 3 (38 enodes) 1540196490.788 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) 1540196490.788 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196490.788 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196490.789 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.791 * * [misc]simplify: iters left: 5 (26 enodes) 1540196490.794 * * [misc]simplify: iters left: 4 (33 enodes) 1540196490.799 * * [misc]simplify: iters left: 3 (37 enodes) 1540196490.804 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196490.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196490.804 * * * * [misc]progress: [ 398 / 6870 ] simplifiying candidate # 1540196490.804 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196490.805 * * [misc]simplify: iters left: 6 (20 enodes) 1540196490.807 * * [misc]simplify: iters left: 5 (28 enodes) 1540196490.811 * * [misc]simplify: iters left: 4 (39 enodes) 1540196490.817 * * [misc]simplify: iters left: 3 (50 enodes) 1540196490.830 * * [misc]simplify: iters left: 2 (58 enodes) 1540196490.843 * * [misc]simplify: iters left: 1 (60 enodes) 1540196490.858 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196490.858 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.859 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.859 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.862 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.865 * * [misc]simplify: iters left: 4 (34 enodes) 1540196490.869 * * [misc]simplify: iters left: 3 (38 enodes) 1540196490.874 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.874 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.874 * * * * [misc]progress: [ 399 / 6870 ] simplifiying candidate # 1540196490.874 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.874 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.877 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.880 * * [misc]simplify: iters left: 4 (34 enodes) 1540196490.884 * * [misc]simplify: iters left: 3 (38 enodes) 1540196490.889 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.889 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.889 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.889 * * [misc]simplify: iters left: 6 (19 enodes) 1540196490.892 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.896 * * [misc]simplify: iters left: 4 (34 enodes) 1540196490.900 * * [misc]simplify: iters left: 3 (38 enodes) 1540196490.905 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196490.905 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196490.905 * * * * [misc]progress: [ 400 / 6870 ] simplifiying candidate # 1540196490.905 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196490.905 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.907 * * [misc]simplify: iters left: 5 (26 enodes) 1540196490.911 * * [misc]simplify: iters left: 4 (39 enodes) 1540196490.916 * * [misc]simplify: iters left: 3 (45 enodes) 1540196490.921 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt (sqrt k)))) 1540196490.921 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196490.921 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196490.921 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.924 * * [misc]simplify: iters left: 5 (24 enodes) 1540196490.927 * * [misc]simplify: iters left: 4 (33 enodes) 1540196490.931 * * [misc]simplify: iters left: 3 (37 enodes) 1540196490.935 * [exit]simplify: Simplified to (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196490.935 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196490.935 * * * * [misc]progress: [ 401 / 6870 ] simplifiying candidate # 1540196490.935 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196490.935 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.939 * * [misc]simplify: iters left: 5 (27 enodes) 1540196490.943 * * [misc]simplify: iters left: 4 (36 enodes) 1540196490.948 * * [misc]simplify: iters left: 3 (48 enodes) 1540196490.955 * * [misc]simplify: iters left: 2 (50 enodes) 1540196490.960 * * [misc]simplify: iters left: 1 (55 enodes) 1540196490.972 * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540196490.972 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt 2) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196490.972 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196490.973 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.978 * * [misc]simplify: iters left: 5 (25 enodes) 1540196490.984 * * [misc]simplify: iters left: 4 (32 enodes) 1540196490.988 * * [misc]simplify: iters left: 3 (36 enodes) 1540196490.992 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196490.992 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt 2) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196490.992 * * * * [misc]progress: [ 402 / 6870 ] simplifiying candidate # 1540196490.993 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196490.993 * * [misc]simplify: iters left: 6 (18 enodes) 1540196490.996 * * [misc]simplify: iters left: 5 (27 enodes) 1540196491.000 * * [misc]simplify: iters left: 4 (36 enodes) 1540196491.005 * * [misc]simplify: iters left: 3 (48 enodes) 1540196491.011 * * [misc]simplify: iters left: 2 (50 enodes) 1540196491.017 * * [misc]simplify: iters left: 1 (55 enodes) 1540196491.023 * [exit]simplify: Simplified to (* (sqrt 2) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540196491.023 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt 2) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196491.023 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196491.023 * * [misc]simplify: iters left: 6 (18 enodes) 1540196491.026 * * [misc]simplify: iters left: 5 (25 enodes) 1540196491.029 * * [misc]simplify: iters left: 4 (32 enodes) 1540196491.033 * * [misc]simplify: iters left: 3 (36 enodes) 1540196491.037 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196491.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt 2) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196491.037 * * * * [misc]progress: [ 403 / 6870 ] simplifiying candidate # 1540196491.038 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196491.038 * * [misc]simplify: iters left: 6 (20 enodes) 1540196491.040 * * [misc]simplify: iters left: 5 (30 enodes) 1540196491.044 * * [misc]simplify: iters left: 4 (41 enodes) 1540196491.051 * * [misc]simplify: iters left: 3 (57 enodes) 1540196491.058 * * [misc]simplify: iters left: 2 (66 enodes) 1540196491.065 * * [misc]simplify: iters left: 1 (71 enodes) 1540196491.075 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540196491.075 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196491.075 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196491.075 * * [misc]simplify: iters left: 6 (18 enodes) 1540196491.080 * * [misc]simplify: iters left: 5 (24 enodes) 1540196491.086 * * [misc]simplify: iters left: 4 (33 enodes) 1540196491.095 * * [misc]simplify: iters left: 3 (37 enodes) 1540196491.104 * [exit]simplify: Simplified to (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196491.104 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196491.104 * * * * [misc]progress: [ 404 / 6870 ] simplifiying candidate # 1540196491.105 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196491.105 * * [misc]simplify: iters left: 6 (19 enodes) 1540196491.110 * * [misc]simplify: iters left: 5 (27 enodes) 1540196491.118 * * [misc]simplify: iters left: 4 (36 enodes) 1540196491.128 * * [misc]simplify: iters left: 3 (48 enodes) 1540196491.133 * * [misc]simplify: iters left: 2 (50 enodes) 1540196491.138 * * [misc]simplify: iters left: 1 (55 enodes) 1540196491.144 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) 1540196491.144 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196491.144 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196491.144 * * [misc]simplify: iters left: 6 (18 enodes) 1540196491.148 * * [misc]simplify: iters left: 5 (24 enodes) 1540196491.151 * * [misc]simplify: iters left: 4 (33 enodes) 1540196491.155 * * [misc]simplify: iters left: 3 (37 enodes) 1540196491.160 * [exit]simplify: Simplified to (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196491.160 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))) (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196491.160 * * * * [misc]progress: [ 405 / 6870 ] simplifiying candidate # 1540196491.160 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540196491.160 * * [misc]simplify: iters left: 6 (17 enodes) 1540196491.165 * * [misc]simplify: iters left: 5 (23 enodes) 1540196491.171 * * [misc]simplify: iters left: 4 (29 enodes) 1540196491.179 * * [misc]simplify: iters left: 3 (33 enodes) 1540196491.186 * [exit]simplify: Simplified to (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196491.186 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196491.187 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196491.187 * * [misc]simplify: iters left: 6 (17 enodes) 1540196491.192 * * [misc]simplify: iters left: 5 (23 enodes) 1540196491.197 * * [misc]simplify: iters left: 4 (32 enodes) 1540196491.201 * * [misc]simplify: iters left: 3 (36 enodes) 1540196491.205 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196491.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196491.205 * * * * [misc]progress: [ 406 / 6870 ] simplifiying candidate # 1540196491.205 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1) 1540196491.205 * * [misc]simplify: iters left: 6 (16 enodes) 1540196491.207 * * [misc]simplify: iters left: 5 (22 enodes) 1540196491.211 * * [misc]simplify: iters left: 4 (30 enodes) 1540196491.214 * * [misc]simplify: iters left: 3 (32 enodes) 1540196491.218 * [exit]simplify: Simplified to (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196491.218 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196491.218 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196491.218 * * [misc]simplify: iters left: 6 (17 enodes) 1540196491.222 * * [misc]simplify: iters left: 5 (23 enodes) 1540196491.228 * * [misc]simplify: iters left: 4 (32 enodes) 1540196491.237 * * [misc]simplify: iters left: 3 (36 enodes) 1540196491.246 * [exit]simplify: Simplified to (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196491.246 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196491.246 * * * * [misc]progress: [ 407 / 6870 ] simplifiying candidate # 1540196491.246 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540196491.246 * * [misc]simplify: iters left: 6 (15 enodes) 1540196491.250 * * [misc]simplify: iters left: 5 (19 enodes) 1540196491.256 * * [misc]simplify: iters left: 4 (25 enodes) 1540196491.260 * * [misc]simplify: iters left: 3 (27 enodes) 1540196491.263 * [exit]simplify: Simplified to (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt k))) 1540196491.263 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196491.263 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196491.264 * * [misc]simplify: iters left: 6 (18 enodes) 1540196491.266 * * [misc]simplify: iters left: 5 (26 enodes) 1540196491.273 * * [misc]simplify: iters left: 4 (35 enodes) 1540196491.283 * * [misc]simplify: iters left: 3 (47 enodes) 1540196491.294 * * [misc]simplify: iters left: 2 (49 enodes) 1540196491.303 * * [misc]simplify: iters left: 1 (54 enodes) 1540196491.316 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196491.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))))) 1540196491.316 * * * * [misc]progress: [ 408 / 6870 ] simplifiying candidate # 1540196491.317 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196491.317 * * [misc]simplify: iters left: 6 (17 enodes) 1540196491.323 * * [misc]simplify: iters left: 5 (24 enodes) 1540196491.331 * * [misc]simplify: iters left: 4 (33 enodes) 1540196491.340 * * [misc]simplify: iters left: 3 (37 enodes) 1540196491.351 * [exit]simplify: Simplified to (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 2))) 1540196491.351 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 2))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196491.351 * [enter]simplify: Simplifying (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196491.351 * * [misc]simplify: iters left: 6 (16 enodes) 1540196491.356 * * [misc]simplify: iters left: 5 (20 enodes) 1540196491.362 * * [misc]simplify: iters left: 4 (26 enodes) 1540196491.369 * * [misc]simplify: iters left: 3 (28 enodes) 1540196491.376 * [exit]simplify: Simplified to (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196491.377 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt 2))) (/ (sqrt (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196491.377 * * * * [misc]progress: [ 409 / 6870 ] simplifiying candidate # 1540196491.377 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196491.377 * * [misc]simplify: iters left: 6 (20 enodes) 1540196491.384 * * [misc]simplify: iters left: 5 (29 enodes) 1540196491.393 * * [misc]simplify: iters left: 4 (42 enodes) 1540196491.405 * * [misc]simplify: iters left: 3 (55 enodes) 1540196491.420 * * [misc]simplify: iters left: 2 (67 enodes) 1540196491.437 * * [misc]simplify: iters left: 1 (70 enodes) 1540196491.455 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196491.455 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196491.455 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196491.456 * * [misc]simplify: iters left: 6 (19 enodes) 1540196491.461 * * [misc]simplify: iters left: 5 (24 enodes) 1540196491.468 * * [misc]simplify: iters left: 4 (28 enodes) 1540196491.476 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196491.476 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196491.476 * * * * [misc]progress: [ 410 / 6870 ] simplifiying candidate # 1540196491.476 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196491.476 * * [misc]simplify: iters left: 6 (19 enodes) 1540196491.479 * * [misc]simplify: iters left: 5 (26 enodes) 1540196491.483 * * [misc]simplify: iters left: 4 (34 enodes) 1540196491.487 * * [misc]simplify: iters left: 3 (37 enodes) 1540196491.492 * * [misc]simplify: iters left: 2 (43 enodes) 1540196491.498 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196491.498 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196491.498 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196491.498 * * [misc]simplify: iters left: 6 (19 enodes) 1540196491.501 * * [misc]simplify: iters left: 5 (24 enodes) 1540196491.504 * * [misc]simplify: iters left: 4 (28 enodes) 1540196491.509 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196491.509 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196491.509 * * * * [misc]progress: [ 411 / 6870 ] simplifiying candidate # 1540196491.510 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196491.510 * * [misc]simplify: iters left: 6 (20 enodes) 1540196491.517 * * [misc]simplify: iters left: 5 (32 enodes) 1540196491.526 * * [misc]simplify: iters left: 4 (55 enodes) 1540196491.536 * * [misc]simplify: iters left: 3 (119 enodes) 1540196491.564 * * [misc]simplify: iters left: 2 (267 enodes) 1540196491.676 * * [misc]simplify: iters left: 1 (476 enodes) 1540196491.889 * [exit]simplify: Simplified to (/ (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196491.889 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196491.889 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196491.889 * * [misc]simplify: iters left: 6 (19 enodes) 1540196491.892 * * [misc]simplify: iters left: 5 (26 enodes) 1540196491.895 * * [misc]simplify: iters left: 4 (36 enodes) 1540196491.903 * * [misc]simplify: iters left: 3 (50 enodes) 1540196491.909 * * [misc]simplify: iters left: 2 (61 enodes) 1540196491.916 * * [misc]simplify: iters left: 1 (76 enodes) 1540196491.931 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196491.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196491.931 * * * * [misc]progress: [ 412 / 6870 ] simplifiying candidate # 1540196491.931 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196491.931 * * [misc]simplify: iters left: 6 (20 enodes) 1540196491.935 * * [misc]simplify: iters left: 5 (32 enodes) 1540196491.940 * * [misc]simplify: iters left: 4 (55 enodes) 1540196491.950 * * [misc]simplify: iters left: 3 (119 enodes) 1540196492.000 * * [misc]simplify: iters left: 2 (267 enodes) 1540196492.126 * * [misc]simplify: iters left: 1 (476 enodes) 1540196492.384 * [exit]simplify: Simplified to (/ (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196492.384 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196492.385 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196492.385 * * [misc]simplify: iters left: 6 (19 enodes) 1540196492.387 * * [misc]simplify: iters left: 5 (26 enodes) 1540196492.391 * * [misc]simplify: iters left: 4 (36 enodes) 1540196492.396 * * [misc]simplify: iters left: 3 (50 enodes) 1540196492.409 * * [misc]simplify: iters left: 2 (61 enodes) 1540196492.424 * * [misc]simplify: iters left: 1 (76 enodes) 1540196492.446 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196492.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196492.447 * * * * [misc]progress: [ 413 / 6870 ] simplifiying candidate # 1540196492.447 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196492.447 * * [misc]simplify: iters left: 6 (22 enodes) 1540196492.454 * * [misc]simplify: iters left: 5 (37 enodes) 1540196492.466 * * [misc]simplify: iters left: 4 (77 enodes) 1540196492.499 * * [misc]simplify: iters left: 3 (197 enodes) 1540196492.633 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196492.633 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196492.633 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196492.633 * * [misc]simplify: iters left: 6 (20 enodes) 1540196492.639 * * [misc]simplify: iters left: 5 (27 enodes) 1540196492.646 * * [misc]simplify: iters left: 4 (37 enodes) 1540196492.657 * * [misc]simplify: iters left: 3 (51 enodes) 1540196492.669 * * [misc]simplify: iters left: 2 (62 enodes) 1540196492.684 * * [misc]simplify: iters left: 1 (77 enodes) 1540196492.707 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196492.707 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196492.708 * * * * [misc]progress: [ 414 / 6870 ] simplifiying candidate # 1540196492.708 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196492.708 * * [misc]simplify: iters left: 6 (21 enodes) 1540196492.714 * * [misc]simplify: iters left: 5 (32 enodes) 1540196492.724 * * [misc]simplify: iters left: 4 (55 enodes) 1540196492.742 * * [misc]simplify: iters left: 3 (119 enodes) 1540196492.804 * * [misc]simplify: iters left: 2 (266 enodes) 1540196492.952 * * [misc]simplify: iters left: 1 (473 enodes) 1540196493.236 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) 1540196493.236 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196493.237 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196493.237 * * [misc]simplify: iters left: 6 (20 enodes) 1540196493.242 * * [misc]simplify: iters left: 5 (27 enodes) 1540196493.250 * * [misc]simplify: iters left: 4 (37 enodes) 1540196493.260 * * [misc]simplify: iters left: 3 (51 enodes) 1540196493.273 * * [misc]simplify: iters left: 2 (62 enodes) 1540196493.288 * * [misc]simplify: iters left: 1 (77 enodes) 1540196493.299 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196493.299 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196493.300 * * * * [misc]progress: [ 415 / 6870 ] simplifiying candidate # 1540196493.300 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196493.300 * * [misc]simplify: iters left: 6 (20 enodes) 1540196493.304 * * [misc]simplify: iters left: 5 (33 enodes) 1540196493.310 * * [misc]simplify: iters left: 4 (57 enodes) 1540196493.320 * * [misc]simplify: iters left: 3 (94 enodes) 1540196493.356 * * [misc]simplify: iters left: 2 (219 enodes) 1540196493.481 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196493.481 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196493.481 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196493.481 * * [misc]simplify: iters left: 6 (19 enodes) 1540196493.487 * * [misc]simplify: iters left: 5 (26 enodes) 1540196493.493 * * [misc]simplify: iters left: 4 (36 enodes) 1540196493.498 * * [misc]simplify: iters left: 3 (50 enodes) 1540196493.504 * * [misc]simplify: iters left: 2 (61 enodes) 1540196493.513 * * [misc]simplify: iters left: 1 (76 enodes) 1540196493.526 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196493.526 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196493.526 * * * * [misc]progress: [ 416 / 6870 ] simplifiying candidate # 1540196493.526 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196493.526 * * [misc]simplify: iters left: 6 (21 enodes) 1540196493.534 * * [misc]simplify: iters left: 5 (32 enodes) 1540196493.543 * * [misc]simplify: iters left: 4 (48 enodes) 1540196493.558 * * [misc]simplify: iters left: 3 (79 enodes) 1540196493.586 * * [misc]simplify: iters left: 2 (133 enodes) 1540196493.624 * * [misc]simplify: iters left: 1 (187 enodes) 1540196493.661 * [exit]simplify: Simplified to (* (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196493.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196493.662 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196493.662 * * [misc]simplify: iters left: 6 (20 enodes) 1540196493.667 * * [misc]simplify: iters left: 5 (27 enodes) 1540196493.674 * * [misc]simplify: iters left: 4 (37 enodes) 1540196493.684 * * [misc]simplify: iters left: 3 (51 enodes) 1540196493.697 * * [misc]simplify: iters left: 2 (62 enodes) 1540196493.712 * * [misc]simplify: iters left: 1 (77 enodes) 1540196493.725 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196493.725 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196493.725 * * * * [misc]progress: [ 417 / 6870 ] simplifiying candidate # 1540196493.725 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196493.725 * * [misc]simplify: iters left: 6 (21 enodes) 1540196493.729 * * [misc]simplify: iters left: 5 (32 enodes) 1540196493.734 * * [misc]simplify: iters left: 4 (48 enodes) 1540196493.742 * * [misc]simplify: iters left: 3 (79 enodes) 1540196493.756 * * [misc]simplify: iters left: 2 (133 enodes) 1540196493.778 * * [misc]simplify: iters left: 1 (187 enodes) 1540196493.848 * [exit]simplify: Simplified to (* (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196493.848 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196493.848 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196493.849 * * [misc]simplify: iters left: 6 (20 enodes) 1540196493.854 * * [misc]simplify: iters left: 5 (27 enodes) 1540196493.861 * * [misc]simplify: iters left: 4 (37 enodes) 1540196493.872 * * [misc]simplify: iters left: 3 (51 enodes) 1540196493.880 * * [misc]simplify: iters left: 2 (62 enodes) 1540196493.887 * * [misc]simplify: iters left: 1 (77 enodes) 1540196493.899 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196493.899 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196493.899 * * * * [misc]progress: [ 418 / 6870 ] simplifiying candidate # 1540196493.899 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196493.899 * * [misc]simplify: iters left: 6 (23 enodes) 1540196493.902 * * [misc]simplify: iters left: 5 (35 enodes) 1540196493.908 * * [misc]simplify: iters left: 4 (57 enodes) 1540196493.918 * * [misc]simplify: iters left: 3 (113 enodes) 1540196493.942 * * [misc]simplify: iters left: 2 (249 enodes) 1540196494.021 * * [misc]simplify: iters left: 1 (493 enodes) 1540196494.355 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196494.355 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196494.356 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196494.356 * * [misc]simplify: iters left: 6 (21 enodes) 1540196494.362 * * [misc]simplify: iters left: 5 (28 enodes) 1540196494.369 * * [misc]simplify: iters left: 4 (38 enodes) 1540196494.379 * * [misc]simplify: iters left: 3 (52 enodes) 1540196494.392 * * [misc]simplify: iters left: 2 (63 enodes) 1540196494.406 * * [misc]simplify: iters left: 1 (78 enodes) 1540196494.420 * [exit]simplify: Simplified to (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196494.420 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196494.420 * * * * [misc]progress: [ 419 / 6870 ] simplifiying candidate # 1540196494.420 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196494.420 * * [misc]simplify: iters left: 6 (22 enodes) 1540196494.423 * * [misc]simplify: iters left: 5 (32 enodes) 1540196494.429 * * [misc]simplify: iters left: 4 (48 enodes) 1540196494.437 * * [misc]simplify: iters left: 3 (79 enodes) 1540196494.460 * * [misc]simplify: iters left: 2 (134 enodes) 1540196494.481 * * [misc]simplify: iters left: 1 (188 enodes) 1540196494.517 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196494.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196494.517 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196494.517 * * [misc]simplify: iters left: 6 (21 enodes) 1540196494.520 * * [misc]simplify: iters left: 5 (28 enodes) 1540196494.524 * * [misc]simplify: iters left: 4 (38 enodes) 1540196494.535 * * [misc]simplify: iters left: 3 (52 enodes) 1540196494.547 * * [misc]simplify: iters left: 2 (63 enodes) 1540196494.559 * * [misc]simplify: iters left: 1 (78 enodes) 1540196494.570 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196494.570 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196494.570 * * * * [misc]progress: [ 420 / 6870 ] simplifiying candidate # 1540196494.570 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196494.570 * * [misc]simplify: iters left: 6 (21 enodes) 1540196494.573 * * [misc]simplify: iters left: 5 (32 enodes) 1540196494.579 * * [misc]simplify: iters left: 4 (47 enodes) 1540196494.592 * * [misc]simplify: iters left: 3 (74 enodes) 1540196494.623 * * [misc]simplify: iters left: 2 (145 enodes) 1540196494.671 * * [misc]simplify: iters left: 1 (318 enodes) 1540196494.900 * [exit]simplify: Simplified to (/ (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196494.900 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196494.901 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196494.901 * * [misc]simplify: iters left: 6 (20 enodes) 1540196494.906 * * [misc]simplify: iters left: 5 (27 enodes) 1540196494.916 * * [misc]simplify: iters left: 4 (37 enodes) 1540196494.926 * * [misc]simplify: iters left: 3 (51 enodes) 1540196494.939 * * [misc]simplify: iters left: 2 (62 enodes) 1540196494.949 * * [misc]simplify: iters left: 1 (77 enodes) 1540196494.961 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196494.961 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196494.961 * * * * [misc]progress: [ 421 / 6870 ] simplifiying candidate # 1540196494.961 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196494.961 * * [misc]simplify: iters left: 6 (19 enodes) 1540196494.965 * * [misc]simplify: iters left: 5 (29 enodes) 1540196494.969 * * [misc]simplify: iters left: 4 (45 enodes) 1540196494.982 * * [misc]simplify: iters left: 3 (76 enodes) 1540196495.011 * * [misc]simplify: iters left: 2 (131 enodes) 1540196495.052 * * [misc]simplify: iters left: 1 (185 enodes) 1540196495.087 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196495.087 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196495.087 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196495.087 * * [misc]simplify: iters left: 6 (19 enodes) 1540196495.090 * * [misc]simplify: iters left: 5 (26 enodes) 1540196495.093 * * [misc]simplify: iters left: 4 (36 enodes) 1540196495.098 * * [misc]simplify: iters left: 3 (50 enodes) 1540196495.105 * * [misc]simplify: iters left: 2 (61 enodes) 1540196495.114 * * [misc]simplify: iters left: 1 (76 enodes) 1540196495.137 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196495.137 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196495.137 * * * * [misc]progress: [ 422 / 6870 ] simplifiying candidate # 1540196495.137 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196495.137 * * [misc]simplify: iters left: 6 (19 enodes) 1540196495.142 * * [misc]simplify: iters left: 5 (29 enodes) 1540196495.146 * * [misc]simplify: iters left: 4 (45 enodes) 1540196495.153 * * [misc]simplify: iters left: 3 (76 enodes) 1540196495.167 * * [misc]simplify: iters left: 2 (131 enodes) 1540196495.191 * * [misc]simplify: iters left: 1 (185 enodes) 1540196495.226 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196495.226 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196495.226 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196495.227 * * [misc]simplify: iters left: 6 (19 enodes) 1540196495.231 * * [misc]simplify: iters left: 5 (26 enodes) 1540196495.238 * * [misc]simplify: iters left: 4 (36 enodes) 1540196495.243 * * [misc]simplify: iters left: 3 (50 enodes) 1540196495.250 * * [misc]simplify: iters left: 2 (61 enodes) 1540196495.257 * * [misc]simplify: iters left: 1 (76 enodes) 1540196495.270 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196495.270 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196495.270 * * * * [misc]progress: [ 423 / 6870 ] simplifiying candidate # 1540196495.271 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196495.271 * * [misc]simplify: iters left: 6 (21 enodes) 1540196495.274 * * [misc]simplify: iters left: 5 (32 enodes) 1540196495.278 * * [misc]simplify: iters left: 4 (54 enodes) 1540196495.287 * * [misc]simplify: iters left: 3 (110 enodes) 1540196495.321 * * [misc]simplify: iters left: 2 (247 enodes) 1540196495.415 * * [misc]simplify: iters left: 1 (485 enodes) 1540196495.701 * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196495.702 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196495.702 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196495.702 * * [misc]simplify: iters left: 6 (20 enodes) 1540196495.708 * * [misc]simplify: iters left: 5 (27 enodes) 1540196495.716 * * [misc]simplify: iters left: 4 (37 enodes) 1540196495.727 * * [misc]simplify: iters left: 3 (51 enodes) 1540196495.740 * * [misc]simplify: iters left: 2 (62 enodes) 1540196495.755 * * [misc]simplify: iters left: 1 (77 enodes) 1540196495.781 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196495.781 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196495.781 * * * * [misc]progress: [ 424 / 6870 ] simplifiying candidate # 1540196495.782 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196495.782 * * [misc]simplify: iters left: 6 (20 enodes) 1540196495.788 * * [misc]simplify: iters left: 5 (29 enodes) 1540196495.796 * * [misc]simplify: iters left: 4 (45 enodes) 1540196495.807 * * [misc]simplify: iters left: 3 (76 enodes) 1540196495.822 * * [misc]simplify: iters left: 2 (131 enodes) 1540196495.865 * * [misc]simplify: iters left: 1 (185 enodes) 1540196495.908 * [exit]simplify: Simplified to (/ (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (sqrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196495.908 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (sqrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196495.908 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196495.909 * * [misc]simplify: iters left: 6 (20 enodes) 1540196495.911 * * [misc]simplify: iters left: 5 (27 enodes) 1540196495.915 * * [misc]simplify: iters left: 4 (37 enodes) 1540196495.920 * * [misc]simplify: iters left: 3 (51 enodes) 1540196495.929 * * [misc]simplify: iters left: 2 (62 enodes) 1540196495.944 * * [misc]simplify: iters left: 1 (77 enodes) 1540196495.966 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196495.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (sqrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196495.966 * * * * [misc]progress: [ 425 / 6870 ] simplifiying candidate # 1540196495.967 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196495.967 * * [misc]simplify: iters left: 6 (19 enodes) 1540196495.972 * * [misc]simplify: iters left: 5 (30 enodes) 1540196495.981 * * [misc]simplify: iters left: 4 (49 enodes) 1540196495.997 * * [misc]simplify: iters left: 3 (69 enodes) 1540196496.015 * * [misc]simplify: iters left: 2 (104 enodes) 1540196496.035 * * [misc]simplify: iters left: 1 (191 enodes) 1540196496.095 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196496.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196496.095 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196496.095 * * [misc]simplify: iters left: 6 (19 enodes) 1540196496.098 * * [misc]simplify: iters left: 5 (26 enodes) 1540196496.101 * * [misc]simplify: iters left: 4 (36 enodes) 1540196496.106 * * [misc]simplify: iters left: 3 (50 enodes) 1540196496.112 * * [misc]simplify: iters left: 2 (61 enodes) 1540196496.122 * * [misc]simplify: iters left: 1 (76 enodes) 1540196496.141 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196496.141 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196496.142 * * * * [misc]progress: [ 426 / 6870 ] simplifiying candidate # 1540196496.142 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196496.142 * * [misc]simplify: iters left: 6 (20 enodes) 1540196496.146 * * [misc]simplify: iters left: 5 (32 enodes) 1540196496.150 * * [misc]simplify: iters left: 4 (46 enodes) 1540196496.159 * * [misc]simplify: iters left: 3 (84 enodes) 1540196496.181 * * [misc]simplify: iters left: 2 (180 enodes) 1540196496.255 * * [misc]simplify: iters left: 1 (297 enodes) 1540196496.369 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) 1540196496.369 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196496.370 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196496.370 * * [misc]simplify: iters left: 6 (18 enodes) 1540196496.375 * * [misc]simplify: iters left: 5 (25 enodes) 1540196496.382 * * [misc]simplify: iters left: 4 (35 enodes) 1540196496.394 * * [misc]simplify: iters left: 3 (49 enodes) 1540196496.406 * * [misc]simplify: iters left: 2 (60 enodes) 1540196496.421 * * [misc]simplify: iters left: 1 (75 enodes) 1540196496.443 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196496.443 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196496.444 * * * * [misc]progress: [ 427 / 6870 ] simplifiying candidate # 1540196496.444 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196496.444 * * [misc]simplify: iters left: 6 (20 enodes) 1540196496.451 * * [misc]simplify: iters left: 5 (32 enodes) 1540196496.461 * * [misc]simplify: iters left: 4 (46 enodes) 1540196496.476 * * [misc]simplify: iters left: 3 (84 enodes) 1540196496.500 * * [misc]simplify: iters left: 2 (180 enodes) 1540196496.541 * * [misc]simplify: iters left: 1 (297 enodes) 1540196496.653 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) 1540196496.653 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196496.654 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196496.654 * * [misc]simplify: iters left: 6 (18 enodes) 1540196496.659 * * [misc]simplify: iters left: 5 (25 enodes) 1540196496.666 * * [misc]simplify: iters left: 4 (35 enodes) 1540196496.676 * * [misc]simplify: iters left: 3 (49 enodes) 1540196496.689 * * [misc]simplify: iters left: 2 (60 enodes) 1540196496.703 * * [misc]simplify: iters left: 1 (75 enodes) 1540196496.726 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196496.726 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196496.726 * * * * [misc]progress: [ 428 / 6870 ] simplifiying candidate # 1540196496.726 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196496.726 * * [misc]simplify: iters left: 6 (22 enodes) 1540196496.734 * * [misc]simplify: iters left: 5 (35 enodes) 1540196496.744 * * [misc]simplify: iters left: 4 (56 enodes) 1540196496.764 * * [misc]simplify: iters left: 3 (126 enodes) 1540196496.797 * * [misc]simplify: iters left: 2 (309 enodes) 1540196496.916 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196496.916 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196496.917 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196496.917 * * [misc]simplify: iters left: 6 (19 enodes) 1540196496.919 * * [misc]simplify: iters left: 5 (26 enodes) 1540196496.923 * * [misc]simplify: iters left: 4 (36 enodes) 1540196496.928 * * [misc]simplify: iters left: 3 (50 enodes) 1540196496.934 * * [misc]simplify: iters left: 2 (61 enodes) 1540196496.947 * * [misc]simplify: iters left: 1 (76 enodes) 1540196496.969 * [exit]simplify: Simplified to (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196496.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196496.970 * * * * [misc]progress: [ 429 / 6870 ] simplifiying candidate # 1540196496.970 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196496.970 * * [misc]simplify: iters left: 6 (21 enodes) 1540196496.977 * * [misc]simplify: iters left: 5 (32 enodes) 1540196496.989 * * [misc]simplify: iters left: 4 (46 enodes) 1540196496.996 * * [misc]simplify: iters left: 3 (84 enodes) 1540196497.012 * * [misc]simplify: iters left: 2 (180 enodes) 1540196497.079 * * [misc]simplify: iters left: 1 (339 enodes) 1540196497.213 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196497.213 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196497.213 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196497.213 * * [misc]simplify: iters left: 6 (19 enodes) 1540196497.219 * * [misc]simplify: iters left: 5 (26 enodes) 1540196497.226 * * [misc]simplify: iters left: 4 (36 enodes) 1540196497.231 * * [misc]simplify: iters left: 3 (50 enodes) 1540196497.238 * * [misc]simplify: iters left: 2 (61 enodes) 1540196497.246 * * [misc]simplify: iters left: 1 (76 enodes) 1540196497.257 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196497.257 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196497.258 * * * * [misc]progress: [ 430 / 6870 ] simplifiying candidate # 1540196497.258 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) 1)) 1540196497.258 * * [misc]simplify: iters left: 6 (19 enodes) 1540196497.261 * * [misc]simplify: iters left: 5 (30 enodes) 1540196497.267 * * [misc]simplify: iters left: 4 (38 enodes) 1540196497.276 * * [misc]simplify: iters left: 3 (44 enodes) 1540196497.286 * * [misc]simplify: iters left: 2 (55 enodes) 1540196497.301 * * [misc]simplify: iters left: 1 (82 enodes) 1540196497.334 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196497.334 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196497.335 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196497.335 * * [misc]simplify: iters left: 6 (18 enodes) 1540196497.340 * * [misc]simplify: iters left: 5 (25 enodes) 1540196497.347 * * [misc]simplify: iters left: 4 (35 enodes) 1540196497.352 * * [misc]simplify: iters left: 3 (49 enodes) 1540196497.362 * * [misc]simplify: iters left: 2 (60 enodes) 1540196497.376 * * [misc]simplify: iters left: 1 (75 enodes) 1540196497.396 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196497.396 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196497.396 * * * * [misc]progress: [ 431 / 6870 ] simplifiying candidate # 1540196497.397 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196497.397 * * [misc]simplify: iters left: 6 (19 enodes) 1540196497.403 * * [misc]simplify: iters left: 5 (29 enodes) 1540196497.412 * * [misc]simplify: iters left: 4 (45 enodes) 1540196497.425 * * [misc]simplify: iters left: 3 (76 enodes) 1540196497.450 * * [misc]simplify: iters left: 2 (131 enodes) 1540196497.475 * * [misc]simplify: iters left: 1 (185 enodes) 1540196497.534 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196497.534 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196497.534 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196497.534 * * [misc]simplify: iters left: 6 (19 enodes) 1540196497.539 * * [misc]simplify: iters left: 5 (26 enodes) 1540196497.546 * * [misc]simplify: iters left: 4 (36 enodes) 1540196497.556 * * [misc]simplify: iters left: 3 (50 enodes) 1540196497.568 * * [misc]simplify: iters left: 2 (61 enodes) 1540196497.576 * * [misc]simplify: iters left: 1 (76 enodes) 1540196497.589 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196497.589 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196497.589 * * * * [misc]progress: [ 432 / 6870 ] simplifiying candidate # 1540196497.589 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196497.589 * * [misc]simplify: iters left: 6 (19 enodes) 1540196497.593 * * [misc]simplify: iters left: 5 (29 enodes) 1540196497.597 * * [misc]simplify: iters left: 4 (45 enodes) 1540196497.605 * * [misc]simplify: iters left: 3 (76 enodes) 1540196497.626 * * [misc]simplify: iters left: 2 (131 enodes) 1540196497.658 * * [misc]simplify: iters left: 1 (185 enodes) 1540196497.702 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196497.702 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196497.702 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196497.702 * * [misc]simplify: iters left: 6 (19 enodes) 1540196497.705 * * [misc]simplify: iters left: 5 (26 enodes) 1540196497.708 * * [misc]simplify: iters left: 4 (36 enodes) 1540196497.713 * * [misc]simplify: iters left: 3 (50 enodes) 1540196497.723 * * [misc]simplify: iters left: 2 (61 enodes) 1540196497.737 * * [misc]simplify: iters left: 1 (76 enodes) 1540196497.760 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196497.760 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196497.760 * * * * [misc]progress: [ 433 / 6870 ] simplifiying candidate # 1540196497.760 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196497.761 * * [misc]simplify: iters left: 6 (21 enodes) 1540196497.767 * * [misc]simplify: iters left: 5 (32 enodes) 1540196497.778 * * [misc]simplify: iters left: 4 (54 enodes) 1540196497.796 * * [misc]simplify: iters left: 3 (110 enodes) 1540196497.845 * * [misc]simplify: iters left: 2 (247 enodes) 1540196497.947 * * [misc]simplify: iters left: 1 (485 enodes) 1540196498.291 * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196498.291 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196498.291 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196498.291 * * [misc]simplify: iters left: 6 (20 enodes) 1540196498.294 * * [misc]simplify: iters left: 5 (27 enodes) 1540196498.297 * * [misc]simplify: iters left: 4 (37 enodes) 1540196498.302 * * [misc]simplify: iters left: 3 (51 enodes) 1540196498.308 * * [misc]simplify: iters left: 2 (62 enodes) 1540196498.315 * * [misc]simplify: iters left: 1 (77 enodes) 1540196498.331 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196498.331 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196498.331 * * * * [misc]progress: [ 434 / 6870 ] simplifiying candidate # 1540196498.331 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196498.331 * * [misc]simplify: iters left: 6 (20 enodes) 1540196498.334 * * [misc]simplify: iters left: 5 (29 enodes) 1540196498.338 * * [misc]simplify: iters left: 4 (45 enodes) 1540196498.346 * * [misc]simplify: iters left: 3 (76 enodes) 1540196498.363 * * [misc]simplify: iters left: 2 (131 enodes) 1540196498.404 * * [misc]simplify: iters left: 1 (185 enodes) 1540196498.441 * [exit]simplify: Simplified to (/ (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (sqrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196498.441 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (sqrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196498.441 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196498.441 * * [misc]simplify: iters left: 6 (20 enodes) 1540196498.444 * * [misc]simplify: iters left: 5 (27 enodes) 1540196498.447 * * [misc]simplify: iters left: 4 (37 enodes) 1540196498.452 * * [misc]simplify: iters left: 3 (51 enodes) 1540196498.458 * * [misc]simplify: iters left: 2 (62 enodes) 1540196498.466 * * [misc]simplify: iters left: 1 (77 enodes) 1540196498.477 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196498.477 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (sqrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196498.477 * * * * [misc]progress: [ 435 / 6870 ] simplifiying candidate # 1540196498.477 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196498.477 * * [misc]simplify: iters left: 6 (19 enodes) 1540196498.480 * * [misc]simplify: iters left: 5 (30 enodes) 1540196498.490 * * [misc]simplify: iters left: 4 (49 enodes) 1540196498.504 * * [misc]simplify: iters left: 3 (69 enodes) 1540196498.519 * * [misc]simplify: iters left: 2 (104 enodes) 1540196498.538 * * [misc]simplify: iters left: 1 (191 enodes) 1540196498.628 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196498.628 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196498.629 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196498.629 * * [misc]simplify: iters left: 6 (19 enodes) 1540196498.632 * * [misc]simplify: iters left: 5 (26 enodes) 1540196498.635 * * [misc]simplify: iters left: 4 (36 enodes) 1540196498.640 * * [misc]simplify: iters left: 3 (50 enodes) 1540196498.646 * * [misc]simplify: iters left: 2 (61 enodes) 1540196498.654 * * [misc]simplify: iters left: 1 (76 enodes) 1540196498.670 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196498.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196498.670 * * * * [misc]progress: [ 436 / 6870 ] simplifiying candidate # 1540196498.670 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196498.670 * * [misc]simplify: iters left: 6 (19 enodes) 1540196498.677 * * [misc]simplify: iters left: 5 (31 enodes) 1540196498.686 * * [misc]simplify: iters left: 4 (45 enodes) 1540196498.694 * * [misc]simplify: iters left: 3 (84 enodes) 1540196498.710 * * [misc]simplify: iters left: 2 (140 enodes) 1540196498.746 * * [misc]simplify: iters left: 1 (175 enodes) 1540196498.772 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196498.772 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196498.772 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196498.772 * * [misc]simplify: iters left: 6 (18 enodes) 1540196498.774 * * [misc]simplify: iters left: 5 (25 enodes) 1540196498.778 * * [misc]simplify: iters left: 4 (35 enodes) 1540196498.782 * * [misc]simplify: iters left: 3 (49 enodes) 1540196498.791 * * [misc]simplify: iters left: 2 (60 enodes) 1540196498.802 * * [misc]simplify: iters left: 1 (75 enodes) 1540196498.813 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196498.813 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196498.814 * * * * [misc]progress: [ 437 / 6870 ] simplifiying candidate # 1540196498.814 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196498.814 * * [misc]simplify: iters left: 6 (19 enodes) 1540196498.817 * * [misc]simplify: iters left: 5 (31 enodes) 1540196498.822 * * [misc]simplify: iters left: 4 (45 enodes) 1540196498.829 * * [misc]simplify: iters left: 3 (84 enodes) 1540196498.855 * * [misc]simplify: iters left: 2 (140 enodes) 1540196498.882 * * [misc]simplify: iters left: 1 (175 enodes) 1540196498.917 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196498.917 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196498.917 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196498.917 * * [misc]simplify: iters left: 6 (18 enodes) 1540196498.922 * * [misc]simplify: iters left: 5 (25 enodes) 1540196498.928 * * [misc]simplify: iters left: 4 (35 enodes) 1540196498.933 * * [misc]simplify: iters left: 3 (49 enodes) 1540196498.939 * * [misc]simplify: iters left: 2 (60 enodes) 1540196498.946 * * [misc]simplify: iters left: 1 (75 enodes) 1540196498.957 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196498.957 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196498.958 * * * * [misc]progress: [ 438 / 6870 ] simplifiying candidate # 1540196498.958 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196498.958 * * [misc]simplify: iters left: 6 (21 enodes) 1540196498.961 * * [misc]simplify: iters left: 5 (34 enodes) 1540196498.966 * * [misc]simplify: iters left: 4 (54 enodes) 1540196498.976 * * [misc]simplify: iters left: 3 (130 enodes) 1540196499.019 * * [misc]simplify: iters left: 2 (288 enodes) 1540196499.171 * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196499.172 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196499.172 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196499.172 * * [misc]simplify: iters left: 6 (19 enodes) 1540196499.175 * * [misc]simplify: iters left: 5 (26 enodes) 1540196499.178 * * [misc]simplify: iters left: 4 (36 enodes) 1540196499.183 * * [misc]simplify: iters left: 3 (50 enodes) 1540196499.189 * * [misc]simplify: iters left: 2 (61 enodes) 1540196499.200 * * [misc]simplify: iters left: 1 (76 enodes) 1540196499.217 * [exit]simplify: Simplified to (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196499.217 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196499.217 * * * * [misc]progress: [ 439 / 6870 ] simplifiying candidate # 1540196499.217 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196499.217 * * [misc]simplify: iters left: 6 (20 enodes) 1540196499.220 * * [misc]simplify: iters left: 5 (31 enodes) 1540196499.224 * * [misc]simplify: iters left: 4 (45 enodes) 1540196499.231 * * [misc]simplify: iters left: 3 (84 enodes) 1540196499.247 * * [misc]simplify: iters left: 2 (142 enodes) 1540196499.278 * * [misc]simplify: iters left: 1 (236 enodes) 1540196499.339 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196499.339 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196499.339 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196499.339 * * [misc]simplify: iters left: 6 (19 enodes) 1540196499.344 * * [misc]simplify: iters left: 5 (26 enodes) 1540196499.351 * * [misc]simplify: iters left: 4 (36 enodes) 1540196499.361 * * [misc]simplify: iters left: 3 (50 enodes) 1540196499.374 * * [misc]simplify: iters left: 2 (61 enodes) 1540196499.388 * * [misc]simplify: iters left: 1 (76 enodes) 1540196499.409 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196499.409 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196499.410 * * * * [misc]progress: [ 440 / 6870 ] simplifiying candidate # 1540196499.410 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 1)) 1540196499.410 * * [misc]simplify: iters left: 6 (18 enodes) 1540196499.415 * * [misc]simplify: iters left: 5 (27 enodes) 1540196499.418 * * [misc]simplify: iters left: 4 (35 enodes) 1540196499.423 * * [misc]simplify: iters left: 3 (38 enodes) 1540196499.427 * * [misc]simplify: iters left: 2 (41 enodes) 1540196499.431 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196499.431 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196499.431 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196499.431 * * [misc]simplify: iters left: 6 (18 enodes) 1540196499.434 * * [misc]simplify: iters left: 5 (25 enodes) 1540196499.437 * * [misc]simplify: iters left: 4 (35 enodes) 1540196499.447 * * [misc]simplify: iters left: 3 (49 enodes) 1540196499.457 * * [misc]simplify: iters left: 2 (60 enodes) 1540196499.464 * * [misc]simplify: iters left: 1 (75 enodes) 1540196499.475 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196499.475 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196499.475 * * * * [misc]progress: [ 441 / 6870 ] simplifiying candidate # 1540196499.475 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1) 1540196499.475 * * [misc]simplify: iters left: 6 (17 enodes) 1540196499.478 * * [misc]simplify: iters left: 5 (26 enodes) 1540196499.481 * * [misc]simplify: iters left: 4 (34 enodes) 1540196499.486 * * [misc]simplify: iters left: 3 (38 enodes) 1540196499.490 * * [misc]simplify: iters left: 2 (41 enodes) 1540196499.496 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196499.496 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196499.496 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196499.496 * * [misc]simplify: iters left: 6 (18 enodes) 1540196499.501 * * [misc]simplify: iters left: 5 (25 enodes) 1540196499.507 * * [misc]simplify: iters left: 4 (35 enodes) 1540196499.516 * * [misc]simplify: iters left: 3 (49 enodes) 1540196499.525 * * [misc]simplify: iters left: 2 (60 enodes) 1540196499.534 * * [misc]simplify: iters left: 1 (75 enodes) 1540196499.547 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196499.547 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196499.547 * * * * [misc]progress: [ 442 / 6870 ] simplifiying candidate # 1540196499.548 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) 1540196499.548 * * [misc]simplify: iters left: 6 (16 enodes) 1540196499.552 * * [misc]simplify: iters left: 5 (23 enodes) 1540196499.559 * * [misc]simplify: iters left: 4 (31 enodes) 1540196499.567 * * [misc]simplify: iters left: 3 (34 enodes) 1540196499.575 * * [misc]simplify: iters left: 2 (40 enodes) 1540196499.586 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) 1540196499.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196499.586 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196499.587 * * [misc]simplify: iters left: 6 (19 enodes) 1540196499.592 * * [misc]simplify: iters left: 5 (28 enodes) 1540196499.600 * * [misc]simplify: iters left: 4 (40 enodes) 1540196499.612 * * [misc]simplify: iters left: 3 (59 enodes) 1540196499.629 * * [misc]simplify: iters left: 2 (88 enodes) 1540196499.656 * * [misc]simplify: iters left: 1 (175 enodes) 1540196499.703 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196499.703 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196499.703 * * * * [misc]progress: [ 443 / 6870 ] simplifiying candidate # 1540196499.703 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196499.703 * * [misc]simplify: iters left: 6 (18 enodes) 1540196499.707 * * [misc]simplify: iters left: 5 (28 enodes) 1540196499.714 * * [misc]simplify: iters left: 4 (44 enodes) 1540196499.728 * * [misc]simplify: iters left: 3 (75 enodes) 1540196499.755 * * [misc]simplify: iters left: 2 (130 enodes) 1540196499.784 * * [misc]simplify: iters left: 1 (184 enodes) 1540196499.830 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196499.830 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196499.830 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196499.830 * * [misc]simplify: iters left: 6 (17 enodes) 1540196499.835 * * [misc]simplify: iters left: 5 (22 enodes) 1540196499.841 * * [misc]simplify: iters left: 4 (26 enodes) 1540196499.849 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196499.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196499.849 * * * * [misc]progress: [ 444 / 6870 ] simplifiying candidate # 1540196499.849 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196499.849 * * [misc]simplify: iters left: 6 (19 enodes) 1540196499.855 * * [misc]simplify: iters left: 5 (26 enodes) 1540196499.862 * * [misc]simplify: iters left: 4 (35 enodes) 1540196499.873 * * [misc]simplify: iters left: 3 (40 enodes) 1540196499.883 * * [misc]simplify: iters left: 2 (41 enodes) 1540196499.891 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196499.891 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196499.891 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196499.891 * * [misc]simplify: iters left: 6 (19 enodes) 1540196499.894 * * [misc]simplify: iters left: 5 (24 enodes) 1540196499.897 * * [misc]simplify: iters left: 4 (28 enodes) 1540196499.901 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196499.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196499.901 * * * * [misc]progress: [ 445 / 6870 ] simplifiying candidate # 1540196499.901 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196499.901 * * [misc]simplify: iters left: 6 (18 enodes) 1540196499.904 * * [misc]simplify: iters left: 5 (23 enodes) 1540196499.907 * * [misc]simplify: iters left: 4 (29 enodes) 1540196499.911 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196499.911 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196499.911 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196499.911 * * [misc]simplify: iters left: 6 (19 enodes) 1540196499.914 * * [misc]simplify: iters left: 5 (24 enodes) 1540196499.919 * * [misc]simplify: iters left: 4 (28 enodes) 1540196499.925 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196499.925 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196499.925 * * * * [misc]progress: [ 446 / 6870 ] simplifiying candidate # 1540196499.925 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196499.925 * * [misc]simplify: iters left: 6 (19 enodes) 1540196499.929 * * [misc]simplify: iters left: 5 (29 enodes) 1540196499.934 * * [misc]simplify: iters left: 4 (48 enodes) 1540196499.942 * * [misc]simplify: iters left: 3 (89 enodes) 1540196499.959 * * [misc]simplify: iters left: 2 (150 enodes) 1540196499.998 * * [misc]simplify: iters left: 1 (197 enodes) 1540196500.038 * [exit]simplify: Simplified to (/ (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196500.038 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196500.038 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196500.038 * * [misc]simplify: iters left: 6 (19 enodes) 1540196500.040 * * [misc]simplify: iters left: 5 (26 enodes) 1540196500.044 * * [misc]simplify: iters left: 4 (36 enodes) 1540196500.049 * * [misc]simplify: iters left: 3 (50 enodes) 1540196500.055 * * [misc]simplify: iters left: 2 (61 enodes) 1540196500.062 * * [misc]simplify: iters left: 1 (76 enodes) 1540196500.073 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196500.073 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196500.073 * * * * [misc]progress: [ 447 / 6870 ] simplifiying candidate # 1540196500.074 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196500.074 * * [misc]simplify: iters left: 6 (19 enodes) 1540196500.078 * * [misc]simplify: iters left: 5 (29 enodes) 1540196500.087 * * [misc]simplify: iters left: 4 (48 enodes) 1540196500.101 * * [misc]simplify: iters left: 3 (89 enodes) 1540196500.118 * * [misc]simplify: iters left: 2 (150 enodes) 1540196500.157 * * [misc]simplify: iters left: 1 (197 enodes) 1540196500.210 * [exit]simplify: Simplified to (/ (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196500.210 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196500.211 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196500.211 * * [misc]simplify: iters left: 6 (19 enodes) 1540196500.213 * * [misc]simplify: iters left: 5 (26 enodes) 1540196500.217 * * [misc]simplify: iters left: 4 (36 enodes) 1540196500.224 * * [misc]simplify: iters left: 3 (50 enodes) 1540196500.236 * * [misc]simplify: iters left: 2 (61 enodes) 1540196500.251 * * [misc]simplify: iters left: 1 (76 enodes) 1540196500.273 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196500.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196500.273 * * * * [misc]progress: [ 448 / 6870 ] simplifiying candidate # 1540196500.273 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196500.273 * * [misc]simplify: iters left: 6 (21 enodes) 1540196500.279 * * [misc]simplify: iters left: 5 (34 enodes) 1540196500.289 * * [misc]simplify: iters left: 4 (70 enodes) 1540196500.315 * * [misc]simplify: iters left: 3 (153 enodes) 1540196500.362 * * [misc]simplify: iters left: 2 (315 enodes) 1540196500.558 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196500.558 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196500.559 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196500.559 * * [misc]simplify: iters left: 6 (20 enodes) 1540196500.564 * * [misc]simplify: iters left: 5 (27 enodes) 1540196500.572 * * [misc]simplify: iters left: 4 (37 enodes) 1540196500.582 * * [misc]simplify: iters left: 3 (51 enodes) 1540196500.595 * * [misc]simplify: iters left: 2 (62 enodes) 1540196500.610 * * [misc]simplify: iters left: 1 (77 enodes) 1540196500.633 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196500.633 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196500.633 * * * * [misc]progress: [ 449 / 6870 ] simplifiying candidate # 1540196500.634 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196500.634 * * [misc]simplify: iters left: 6 (20 enodes) 1540196500.640 * * [misc]simplify: iters left: 5 (29 enodes) 1540196500.648 * * [misc]simplify: iters left: 4 (48 enodes) 1540196500.663 * * [misc]simplify: iters left: 3 (89 enodes) 1540196500.691 * * [misc]simplify: iters left: 2 (150 enodes) 1540196500.723 * * [misc]simplify: iters left: 1 (197 enodes) 1540196500.778 * [exit]simplify: Simplified to (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540196500.778 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196500.778 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196500.778 * * [misc]simplify: iters left: 6 (20 enodes) 1540196500.785 * * [misc]simplify: iters left: 5 (27 enodes) 1540196500.793 * * [misc]simplify: iters left: 4 (37 enodes) 1540196500.803 * * [misc]simplify: iters left: 3 (51 enodes) 1540196500.816 * * [misc]simplify: iters left: 2 (62 enodes) 1540196500.832 * * [misc]simplify: iters left: 1 (77 enodes) 1540196500.855 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196500.855 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196500.855 * * * * [misc]progress: [ 450 / 6870 ] simplifiying candidate # 1540196500.855 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196500.856 * * [misc]simplify: iters left: 6 (19 enodes) 1540196500.861 * * [misc]simplify: iters left: 5 (30 enodes) 1540196500.871 * * [misc]simplify: iters left: 4 (51 enodes) 1540196500.879 * * [misc]simplify: iters left: 3 (104 enodes) 1540196500.911 * * [misc]simplify: iters left: 2 (283 enodes) 1540196501.064 * [exit]simplify: Simplified to (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.064 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196501.064 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196501.064 * * [misc]simplify: iters left: 6 (19 enodes) 1540196501.066 * * [misc]simplify: iters left: 5 (26 enodes) 1540196501.070 * * [misc]simplify: iters left: 4 (36 enodes) 1540196501.075 * * [misc]simplify: iters left: 3 (50 enodes) 1540196501.080 * * [misc]simplify: iters left: 2 (61 enodes) 1540196501.089 * * [misc]simplify: iters left: 1 (76 enodes) 1540196501.110 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.110 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196501.110 * * * * [misc]progress: [ 451 / 6870 ] simplifiying candidate # 1540196501.111 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196501.111 * * [misc]simplify: iters left: 6 (20 enodes) 1540196501.118 * * [misc]simplify: iters left: 5 (29 enodes) 1540196501.127 * * [misc]simplify: iters left: 4 (41 enodes) 1540196501.139 * * [misc]simplify: iters left: 3 (55 enodes) 1540196501.154 * * [misc]simplify: iters left: 2 (66 enodes) 1540196501.171 * * [misc]simplify: iters left: 1 (81 enodes) 1540196501.196 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.196 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196501.196 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196501.196 * * [misc]simplify: iters left: 6 (20 enodes) 1540196501.203 * * [misc]simplify: iters left: 5 (27 enodes) 1540196501.210 * * [misc]simplify: iters left: 4 (37 enodes) 1540196501.221 * * [misc]simplify: iters left: 3 (51 enodes) 1540196501.235 * * [misc]simplify: iters left: 2 (62 enodes) 1540196501.250 * * [misc]simplify: iters left: 1 (77 enodes) 1540196501.274 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.274 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196501.274 * * * * [misc]progress: [ 452 / 6870 ] simplifiying candidate # 1540196501.274 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196501.274 * * [misc]simplify: iters left: 6 (20 enodes) 1540196501.282 * * [misc]simplify: iters left: 5 (29 enodes) 1540196501.290 * * [misc]simplify: iters left: 4 (41 enodes) 1540196501.302 * * [misc]simplify: iters left: 3 (55 enodes) 1540196501.317 * * [misc]simplify: iters left: 2 (66 enodes) 1540196501.333 * * [misc]simplify: iters left: 1 (81 enodes) 1540196501.351 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.351 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196501.351 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196501.351 * * [misc]simplify: iters left: 6 (20 enodes) 1540196501.354 * * [misc]simplify: iters left: 5 (27 enodes) 1540196501.359 * * [misc]simplify: iters left: 4 (37 enodes) 1540196501.364 * * [misc]simplify: iters left: 3 (51 enodes) 1540196501.373 * * [misc]simplify: iters left: 2 (62 enodes) 1540196501.388 * * [misc]simplify: iters left: 1 (77 enodes) 1540196501.410 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.411 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196501.411 * * * * [misc]progress: [ 453 / 6870 ] simplifiying candidate # 1540196501.411 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196501.411 * * [misc]simplify: iters left: 6 (22 enodes) 1540196501.418 * * [misc]simplify: iters left: 5 (32 enodes) 1540196501.427 * * [misc]simplify: iters left: 4 (50 enodes) 1540196501.441 * * [misc]simplify: iters left: 3 (83 enodes) 1540196501.468 * * [misc]simplify: iters left: 2 (138 enodes) 1540196501.515 * * [misc]simplify: iters left: 1 (203 enodes) 1540196501.571 * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.571 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196501.572 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196501.572 * * [misc]simplify: iters left: 6 (21 enodes) 1540196501.578 * * [misc]simplify: iters left: 5 (28 enodes) 1540196501.586 * * [misc]simplify: iters left: 4 (38 enodes) 1540196501.598 * * [misc]simplify: iters left: 3 (52 enodes) 1540196501.611 * * [misc]simplify: iters left: 2 (63 enodes) 1540196501.627 * * [misc]simplify: iters left: 1 (78 enodes) 1540196501.639 * [exit]simplify: Simplified to (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.639 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196501.639 * * * * [misc]progress: [ 454 / 6870 ] simplifiying candidate # 1540196501.639 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196501.639 * * [misc]simplify: iters left: 6 (21 enodes) 1540196501.642 * * [misc]simplify: iters left: 5 (29 enodes) 1540196501.646 * * [misc]simplify: iters left: 4 (41 enodes) 1540196501.651 * * [misc]simplify: iters left: 3 (55 enodes) 1540196501.660 * * [misc]simplify: iters left: 2 (66 enodes) 1540196501.676 * * [misc]simplify: iters left: 1 (81 enodes) 1540196501.701 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.701 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196501.702 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196501.702 * * [misc]simplify: iters left: 6 (21 enodes) 1540196501.708 * * [misc]simplify: iters left: 5 (28 enodes) 1540196501.715 * * [misc]simplify: iters left: 4 (38 enodes) 1540196501.721 * * [misc]simplify: iters left: 3 (52 enodes) 1540196501.727 * * [misc]simplify: iters left: 2 (63 enodes) 1540196501.735 * * [misc]simplify: iters left: 1 (78 enodes) 1540196501.749 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.749 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196501.749 * * * * [misc]progress: [ 455 / 6870 ] simplifiying candidate # 1540196501.749 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196501.749 * * [misc]simplify: iters left: 6 (20 enodes) 1540196501.755 * * [misc]simplify: iters left: 5 (29 enodes) 1540196501.764 * * [misc]simplify: iters left: 4 (42 enodes) 1540196501.775 * * [misc]simplify: iters left: 3 (58 enodes) 1540196501.791 * * [misc]simplify: iters left: 2 (72 enodes) 1540196501.812 * * [misc]simplify: iters left: 1 (108 enodes) 1540196501.852 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196501.852 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196501.852 * * [misc]simplify: iters left: 6 (20 enodes) 1540196501.855 * * [misc]simplify: iters left: 5 (27 enodes) 1540196501.858 * * [misc]simplify: iters left: 4 (37 enodes) 1540196501.863 * * [misc]simplify: iters left: 3 (51 enodes) 1540196501.869 * * [misc]simplify: iters left: 2 (62 enodes) 1540196501.877 * * [misc]simplify: iters left: 1 (77 enodes) 1540196501.897 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.897 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196501.897 * * * * [misc]progress: [ 456 / 6870 ] simplifiying candidate # 1540196501.897 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196501.897 * * [misc]simplify: iters left: 6 (18 enodes) 1540196501.903 * * [misc]simplify: iters left: 5 (26 enodes) 1540196501.912 * * [misc]simplify: iters left: 4 (38 enodes) 1540196501.925 * * [misc]simplify: iters left: 3 (52 enodes) 1540196501.939 * * [misc]simplify: iters left: 2 (63 enodes) 1540196501.955 * * [misc]simplify: iters left: 1 (78 enodes) 1540196501.981 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196501.981 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196501.982 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196501.982 * * [misc]simplify: iters left: 6 (19 enodes) 1540196501.987 * * [misc]simplify: iters left: 5 (26 enodes) 1540196501.995 * * [misc]simplify: iters left: 4 (36 enodes) 1540196502.005 * * [misc]simplify: iters left: 3 (50 enodes) 1540196502.017 * * [misc]simplify: iters left: 2 (61 enodes) 1540196502.032 * * [misc]simplify: iters left: 1 (76 enodes) 1540196502.056 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196502.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196502.056 * * * * [misc]progress: [ 457 / 6870 ] simplifiying candidate # 1540196502.056 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196502.057 * * [misc]simplify: iters left: 6 (18 enodes) 1540196502.063 * * [misc]simplify: iters left: 5 (26 enodes) 1540196502.073 * * [misc]simplify: iters left: 4 (38 enodes) 1540196502.085 * * [misc]simplify: iters left: 3 (52 enodes) 1540196502.099 * * [misc]simplify: iters left: 2 (63 enodes) 1540196502.114 * * [misc]simplify: iters left: 1 (78 enodes) 1540196502.135 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196502.135 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196502.135 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196502.135 * * [misc]simplify: iters left: 6 (19 enodes) 1540196502.138 * * [misc]simplify: iters left: 5 (26 enodes) 1540196502.141 * * [misc]simplify: iters left: 4 (36 enodes) 1540196502.146 * * [misc]simplify: iters left: 3 (50 enodes) 1540196502.152 * * [misc]simplify: iters left: 2 (61 enodes) 1540196502.159 * * [misc]simplify: iters left: 1 (76 enodes) 1540196502.179 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196502.179 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196502.179 * * * * [misc]progress: [ 458 / 6870 ] simplifiying candidate # 1540196502.179 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196502.179 * * [misc]simplify: iters left: 6 (20 enodes) 1540196502.185 * * [misc]simplify: iters left: 5 (29 enodes) 1540196502.193 * * [misc]simplify: iters left: 4 (47 enodes) 1540196502.207 * * [misc]simplify: iters left: 3 (80 enodes) 1540196502.232 * * [misc]simplify: iters left: 2 (135 enodes) 1540196502.261 * * [misc]simplify: iters left: 1 (193 enodes) 1540196502.318 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196502.318 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196502.318 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196502.318 * * [misc]simplify: iters left: 6 (20 enodes) 1540196502.321 * * [misc]simplify: iters left: 5 (27 enodes) 1540196502.324 * * [misc]simplify: iters left: 4 (37 enodes) 1540196502.329 * * [misc]simplify: iters left: 3 (51 enodes) 1540196502.335 * * [misc]simplify: iters left: 2 (62 enodes) 1540196502.343 * * [misc]simplify: iters left: 1 (77 enodes) 1540196502.364 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196502.364 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196502.364 * * * * [misc]progress: [ 459 / 6870 ] simplifiying candidate # 1540196502.365 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196502.365 * * [misc]simplify: iters left: 6 (19 enodes) 1540196502.370 * * [misc]simplify: iters left: 5 (26 enodes) 1540196502.378 * * [misc]simplify: iters left: 4 (38 enodes) 1540196502.388 * * [misc]simplify: iters left: 3 (52 enodes) 1540196502.400 * * [misc]simplify: iters left: 2 (63 enodes) 1540196502.407 * * [misc]simplify: iters left: 1 (78 enodes) 1540196502.418 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196502.418 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196502.418 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196502.418 * * [misc]simplify: iters left: 6 (20 enodes) 1540196502.421 * * [misc]simplify: iters left: 5 (27 enodes) 1540196502.424 * * [misc]simplify: iters left: 4 (37 enodes) 1540196502.429 * * [misc]simplify: iters left: 3 (51 enodes) 1540196502.435 * * [misc]simplify: iters left: 2 (62 enodes) 1540196502.443 * * [misc]simplify: iters left: 1 (77 enodes) 1540196502.455 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196502.455 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196502.455 * * * * [misc]progress: [ 460 / 6870 ] simplifiying candidate # 1540196502.455 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196502.455 * * [misc]simplify: iters left: 6 (18 enodes) 1540196502.460 * * [misc]simplify: iters left: 5 (27 enodes) 1540196502.466 * * [misc]simplify: iters left: 4 (43 enodes) 1540196502.471 * * [misc]simplify: iters left: 3 (52 enodes) 1540196502.476 * * [misc]simplify: iters left: 2 (65 enodes) 1540196502.484 * * [misc]simplify: iters left: 1 (90 enodes) 1540196502.498 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196502.498 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196502.498 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196502.498 * * [misc]simplify: iters left: 6 (19 enodes) 1540196502.503 * * [misc]simplify: iters left: 5 (26 enodes) 1540196502.509 * * [misc]simplify: iters left: 4 (36 enodes) 1540196502.519 * * [misc]simplify: iters left: 3 (50 enodes) 1540196502.531 * * [misc]simplify: iters left: 2 (61 enodes) 1540196502.545 * * [misc]simplify: iters left: 1 (76 enodes) 1540196502.557 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196502.557 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196502.557 * * * * [misc]progress: [ 461 / 6870 ] simplifiying candidate # 1540196502.558 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196502.558 * * [misc]simplify: iters left: 6 (19 enodes) 1540196502.561 * * [misc]simplify: iters left: 5 (29 enodes) 1540196502.565 * * [misc]simplify: iters left: 4 (44 enodes) 1540196502.571 * * [misc]simplify: iters left: 3 (60 enodes) 1540196502.583 * * [misc]simplify: iters left: 2 (79 enodes) 1540196502.603 * * [misc]simplify: iters left: 1 (106 enodes) 1540196502.616 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196502.616 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196502.617 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196502.617 * * [misc]simplify: iters left: 6 (18 enodes) 1540196502.619 * * [misc]simplify: iters left: 5 (25 enodes) 1540196502.623 * * [misc]simplify: iters left: 4 (35 enodes) 1540196502.628 * * [misc]simplify: iters left: 3 (49 enodes) 1540196502.638 * * [misc]simplify: iters left: 2 (60 enodes) 1540196502.654 * * [misc]simplify: iters left: 1 (75 enodes) 1540196502.669 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196502.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196502.670 * * * * [misc]progress: [ 462 / 6870 ] simplifiying candidate # 1540196502.670 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196502.670 * * [misc]simplify: iters left: 6 (19 enodes) 1540196502.674 * * [misc]simplify: iters left: 5 (29 enodes) 1540196502.678 * * [misc]simplify: iters left: 4 (44 enodes) 1540196502.684 * * [misc]simplify: iters left: 3 (60 enodes) 1540196502.693 * * [misc]simplify: iters left: 2 (79 enodes) 1540196502.713 * * [misc]simplify: iters left: 1 (106 enodes) 1540196502.733 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196502.733 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196502.734 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196502.734 * * [misc]simplify: iters left: 6 (18 enodes) 1540196502.736 * * [misc]simplify: iters left: 5 (25 enodes) 1540196502.739 * * [misc]simplify: iters left: 4 (35 enodes) 1540196502.745 * * [misc]simplify: iters left: 3 (49 enodes) 1540196502.752 * * [misc]simplify: iters left: 2 (60 enodes) 1540196502.762 * * [misc]simplify: iters left: 1 (75 enodes) 1540196502.784 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196502.784 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196502.784 * * * * [misc]progress: [ 463 / 6870 ] simplifiying candidate # 1540196502.785 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196502.785 * * [misc]simplify: iters left: 6 (21 enodes) 1540196502.792 * * [misc]simplify: iters left: 5 (32 enodes) 1540196502.800 * * [misc]simplify: iters left: 4 (54 enodes) 1540196502.817 * * [misc]simplify: iters left: 3 (106 enodes) 1540196502.854 * * [misc]simplify: iters left: 2 (200 enodes) 1540196502.927 * * [misc]simplify: iters left: 1 (439 enodes) 1540196503.254 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196503.254 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196503.254 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196503.254 * * [misc]simplify: iters left: 6 (19 enodes) 1540196503.257 * * [misc]simplify: iters left: 5 (26 enodes) 1540196503.262 * * [misc]simplify: iters left: 4 (36 enodes) 1540196503.267 * * [misc]simplify: iters left: 3 (50 enodes) 1540196503.273 * * [misc]simplify: iters left: 2 (61 enodes) 1540196503.281 * * [misc]simplify: iters left: 1 (76 enodes) 1540196503.303 * [exit]simplify: Simplified to (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196503.303 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196503.303 * * * * [misc]progress: [ 464 / 6870 ] simplifiying candidate # 1540196503.304 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196503.304 * * [misc]simplify: iters left: 6 (20 enodes) 1540196503.310 * * [misc]simplify: iters left: 5 (29 enodes) 1540196503.318 * * [misc]simplify: iters left: 4 (44 enodes) 1540196503.330 * * [misc]simplify: iters left: 3 (59 enodes) 1540196503.344 * * [misc]simplify: iters left: 2 (75 enodes) 1540196503.362 * * [misc]simplify: iters left: 1 (113 enodes) 1540196503.394 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196503.394 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196503.395 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196503.395 * * [misc]simplify: iters left: 6 (19 enodes) 1540196503.400 * * [misc]simplify: iters left: 5 (26 enodes) 1540196503.407 * * [misc]simplify: iters left: 4 (36 enodes) 1540196503.417 * * [misc]simplify: iters left: 3 (50 enodes) 1540196503.430 * * [misc]simplify: iters left: 2 (61 enodes) 1540196503.444 * * [misc]simplify: iters left: 1 (76 enodes) 1540196503.455 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196503.455 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196503.455 * * * * [misc]progress: [ 465 / 6870 ] simplifiying candidate # 1540196503.455 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540196503.455 * * [misc]simplify: iters left: 6 (18 enodes) 1540196503.458 * * [misc]simplify: iters left: 5 (27 enodes) 1540196503.461 * * [misc]simplify: iters left: 4 (33 enodes) 1540196503.465 * * [misc]simplify: iters left: 3 (38 enodes) 1540196503.469 * * [misc]simplify: iters left: 2 (42 enodes) 1540196503.478 * * [misc]simplify: iters left: 1 (58 enodes) 1540196503.498 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196503.498 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196503.498 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196503.498 * * [misc]simplify: iters left: 6 (18 enodes) 1540196503.503 * * [misc]simplify: iters left: 5 (25 enodes) 1540196503.510 * * [misc]simplify: iters left: 4 (35 enodes) 1540196503.520 * * [misc]simplify: iters left: 3 (49 enodes) 1540196503.532 * * [misc]simplify: iters left: 2 (60 enodes) 1540196503.546 * * [misc]simplify: iters left: 1 (75 enodes) 1540196503.568 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196503.568 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196503.568 * * * * [misc]progress: [ 466 / 6870 ] simplifiying candidate # 1540196503.569 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196503.569 * * [misc]simplify: iters left: 6 (18 enodes) 1540196503.575 * * [misc]simplify: iters left: 5 (26 enodes) 1540196503.583 * * [misc]simplify: iters left: 4 (38 enodes) 1540196503.594 * * [misc]simplify: iters left: 3 (52 enodes) 1540196503.608 * * [misc]simplify: iters left: 2 (63 enodes) 1540196503.623 * * [misc]simplify: iters left: 1 (78 enodes) 1540196503.648 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196503.648 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196503.650 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196503.650 * * [misc]simplify: iters left: 6 (19 enodes) 1540196503.655 * * [misc]simplify: iters left: 5 (26 enodes) 1540196503.662 * * [misc]simplify: iters left: 4 (36 enodes) 1540196503.672 * * [misc]simplify: iters left: 3 (50 enodes) 1540196503.685 * * [misc]simplify: iters left: 2 (61 enodes) 1540196503.698 * * [misc]simplify: iters left: 1 (76 enodes) 1540196503.709 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196503.709 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196503.709 * * * * [misc]progress: [ 467 / 6870 ] simplifiying candidate # 1540196503.709 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196503.709 * * [misc]simplify: iters left: 6 (18 enodes) 1540196503.712 * * [misc]simplify: iters left: 5 (26 enodes) 1540196503.716 * * [misc]simplify: iters left: 4 (38 enodes) 1540196503.722 * * [misc]simplify: iters left: 3 (52 enodes) 1540196503.729 * * [misc]simplify: iters left: 2 (63 enodes) 1540196503.737 * * [misc]simplify: iters left: 1 (78 enodes) 1540196503.750 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196503.750 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196503.750 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196503.750 * * [misc]simplify: iters left: 6 (19 enodes) 1540196503.753 * * [misc]simplify: iters left: 5 (26 enodes) 1540196503.756 * * [misc]simplify: iters left: 4 (36 enodes) 1540196503.761 * * [misc]simplify: iters left: 3 (50 enodes) 1540196503.767 * * [misc]simplify: iters left: 2 (61 enodes) 1540196503.774 * * [misc]simplify: iters left: 1 (76 enodes) 1540196503.785 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196503.785 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196503.785 * * * * [misc]progress: [ 468 / 6870 ] simplifiying candidate # 1540196503.786 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196503.786 * * [misc]simplify: iters left: 6 (20 enodes) 1540196503.789 * * [misc]simplify: iters left: 5 (29 enodes) 1540196503.792 * * [misc]simplify: iters left: 4 (47 enodes) 1540196503.800 * * [misc]simplify: iters left: 3 (80 enodes) 1540196503.814 * * [misc]simplify: iters left: 2 (135 enodes) 1540196503.847 * * [misc]simplify: iters left: 1 (193 enodes) 1540196503.930 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196503.930 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196503.931 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196503.931 * * [misc]simplify: iters left: 6 (20 enodes) 1540196503.937 * * [misc]simplify: iters left: 5 (27 enodes) 1540196503.944 * * [misc]simplify: iters left: 4 (37 enodes) 1540196503.955 * * [misc]simplify: iters left: 3 (51 enodes) 1540196503.967 * * [misc]simplify: iters left: 2 (62 enodes) 1540196503.982 * * [misc]simplify: iters left: 1 (77 enodes) 1540196504.005 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196504.005 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196504.005 * * * * [misc]progress: [ 469 / 6870 ] simplifiying candidate # 1540196504.005 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196504.006 * * [misc]simplify: iters left: 6 (19 enodes) 1540196504.011 * * [misc]simplify: iters left: 5 (26 enodes) 1540196504.018 * * [misc]simplify: iters left: 4 (38 enodes) 1540196504.029 * * [misc]simplify: iters left: 3 (52 enodes) 1540196504.042 * * [misc]simplify: iters left: 2 (63 enodes) 1540196504.057 * * [misc]simplify: iters left: 1 (78 enodes) 1540196504.081 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196504.081 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196504.081 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196504.081 * * [misc]simplify: iters left: 6 (20 enodes) 1540196504.087 * * [misc]simplify: iters left: 5 (27 enodes) 1540196504.094 * * [misc]simplify: iters left: 4 (37 enodes) 1540196504.104 * * [misc]simplify: iters left: 3 (51 enodes) 1540196504.117 * * [misc]simplify: iters left: 2 (62 enodes) 1540196504.132 * * [misc]simplify: iters left: 1 (77 enodes) 1540196504.145 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196504.145 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196504.145 * * * * [misc]progress: [ 470 / 6870 ] simplifiying candidate # 1540196504.145 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196504.145 * * [misc]simplify: iters left: 6 (18 enodes) 1540196504.148 * * [misc]simplify: iters left: 5 (27 enodes) 1540196504.152 * * [misc]simplify: iters left: 4 (43 enodes) 1540196504.157 * * [misc]simplify: iters left: 3 (52 enodes) 1540196504.162 * * [misc]simplify: iters left: 2 (65 enodes) 1540196504.176 * * [misc]simplify: iters left: 1 (90 enodes) 1540196504.203 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196504.203 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196504.204 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196504.204 * * [misc]simplify: iters left: 6 (19 enodes) 1540196504.209 * * [misc]simplify: iters left: 5 (26 enodes) 1540196504.216 * * [misc]simplify: iters left: 4 (36 enodes) 1540196504.226 * * [misc]simplify: iters left: 3 (50 enodes) 1540196504.238 * * [misc]simplify: iters left: 2 (61 enodes) 1540196504.253 * * [misc]simplify: iters left: 1 (76 enodes) 1540196504.275 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196504.275 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196504.275 * * * * [misc]progress: [ 471 / 6870 ] simplifiying candidate # 1540196504.276 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196504.276 * * [misc]simplify: iters left: 6 (18 enodes) 1540196504.282 * * [misc]simplify: iters left: 5 (28 enodes) 1540196504.290 * * [misc]simplify: iters left: 4 (42 enodes) 1540196504.297 * * [misc]simplify: iters left: 3 (61 enodes) 1540196504.307 * * [misc]simplify: iters left: 2 (84 enodes) 1540196504.317 * * [misc]simplify: iters left: 1 (95 enodes) 1540196504.332 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196504.332 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196504.332 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196504.333 * * [misc]simplify: iters left: 6 (18 enodes) 1540196504.338 * * [misc]simplify: iters left: 5 (25 enodes) 1540196504.345 * * [misc]simplify: iters left: 4 (35 enodes) 1540196504.355 * * [misc]simplify: iters left: 3 (49 enodes) 1540196504.367 * * [misc]simplify: iters left: 2 (60 enodes) 1540196504.383 * * [misc]simplify: iters left: 1 (75 enodes) 1540196504.406 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196504.406 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196504.406 * * * * [misc]progress: [ 472 / 6870 ] simplifiying candidate # 1540196504.406 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196504.407 * * [misc]simplify: iters left: 6 (18 enodes) 1540196504.413 * * [misc]simplify: iters left: 5 (28 enodes) 1540196504.424 * * [misc]simplify: iters left: 4 (42 enodes) 1540196504.437 * * [misc]simplify: iters left: 3 (61 enodes) 1540196504.452 * * [misc]simplify: iters left: 2 (84 enodes) 1540196504.462 * * [misc]simplify: iters left: 1 (95 enodes) 1540196504.473 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196504.473 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196504.473 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196504.473 * * [misc]simplify: iters left: 6 (18 enodes) 1540196504.476 * * [misc]simplify: iters left: 5 (25 enodes) 1540196504.483 * * [misc]simplify: iters left: 4 (35 enodes) 1540196504.492 * * [misc]simplify: iters left: 3 (49 enodes) 1540196504.504 * * [misc]simplify: iters left: 2 (60 enodes) 1540196504.511 * * [misc]simplify: iters left: 1 (75 enodes) 1540196504.524 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196504.524 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196504.524 * * * * [misc]progress: [ 473 / 6870 ] simplifiying candidate # 1540196504.525 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196504.525 * * [misc]simplify: iters left: 6 (20 enodes) 1540196504.528 * * [misc]simplify: iters left: 5 (31 enodes) 1540196504.533 * * [misc]simplify: iters left: 4 (51 enodes) 1540196504.544 * * [misc]simplify: iters left: 3 (90 enodes) 1540196504.560 * * [misc]simplify: iters left: 2 (165 enodes) 1540196504.595 * * [misc]simplify: iters left: 1 (367 enodes) 1540196504.852 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196504.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196504.852 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196504.852 * * [misc]simplify: iters left: 6 (19 enodes) 1540196504.855 * * [misc]simplify: iters left: 5 (26 enodes) 1540196504.862 * * [misc]simplify: iters left: 4 (36 enodes) 1540196504.875 * * [misc]simplify: iters left: 3 (50 enodes) 1540196504.883 * * [misc]simplify: iters left: 2 (61 enodes) 1540196504.891 * * [misc]simplify: iters left: 1 (76 enodes) 1540196504.902 * [exit]simplify: Simplified to (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196504.902 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196504.902 * * * * [misc]progress: [ 474 / 6870 ] simplifiying candidate # 1540196504.902 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196504.902 * * [misc]simplify: iters left: 6 (19 enodes) 1540196504.905 * * [misc]simplify: iters left: 5 (28 enodes) 1540196504.910 * * [misc]simplify: iters left: 4 (42 enodes) 1540196504.922 * * [misc]simplify: iters left: 3 (60 enodes) 1540196504.931 * * [misc]simplify: iters left: 2 (79 enodes) 1540196504.940 * * [misc]simplify: iters left: 1 (107 enodes) 1540196504.956 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196504.956 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196504.956 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196504.956 * * [misc]simplify: iters left: 6 (19 enodes) 1540196504.962 * * [misc]simplify: iters left: 5 (26 enodes) 1540196504.969 * * [misc]simplify: iters left: 4 (36 enodes) 1540196504.978 * * [misc]simplify: iters left: 3 (50 enodes) 1540196504.990 * * [misc]simplify: iters left: 2 (61 enodes) 1540196505.005 * * [misc]simplify: iters left: 1 (76 enodes) 1540196505.019 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196505.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196505.019 * * * * [misc]progress: [ 475 / 6870 ] simplifiying candidate # 1540196505.019 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540196505.020 * * [misc]simplify: iters left: 6 (17 enodes) 1540196505.022 * * [misc]simplify: iters left: 5 (24 enodes) 1540196505.025 * * [misc]simplify: iters left: 4 (30 enodes) 1540196505.029 * * [misc]simplify: iters left: 3 (33 enodes) 1540196505.033 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196505.033 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196505.033 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196505.033 * * [misc]simplify: iters left: 6 (18 enodes) 1540196505.035 * * [misc]simplify: iters left: 5 (25 enodes) 1540196505.039 * * [misc]simplify: iters left: 4 (35 enodes) 1540196505.044 * * [misc]simplify: iters left: 3 (49 enodes) 1540196505.050 * * [misc]simplify: iters left: 2 (60 enodes) 1540196505.058 * * [misc]simplify: iters left: 1 (75 enodes) 1540196505.069 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196505.069 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196505.070 * * * * [misc]progress: [ 476 / 6870 ] simplifiying candidate # 1540196505.070 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1) 1540196505.070 * * [misc]simplify: iters left: 6 (16 enodes) 1540196505.072 * * [misc]simplify: iters left: 5 (23 enodes) 1540196505.075 * * [misc]simplify: iters left: 4 (29 enodes) 1540196505.083 * * [misc]simplify: iters left: 3 (32 enodes) 1540196505.090 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196505.090 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196505.090 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196505.090 * * [misc]simplify: iters left: 6 (18 enodes) 1540196505.096 * * [misc]simplify: iters left: 5 (25 enodes) 1540196505.103 * * [misc]simplify: iters left: 4 (35 enodes) 1540196505.113 * * [misc]simplify: iters left: 3 (49 enodes) 1540196505.126 * * [misc]simplify: iters left: 2 (60 enodes) 1540196505.141 * * [misc]simplify: iters left: 1 (75 enodes) 1540196505.164 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196505.164 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196505.164 * * * * [misc]progress: [ 477 / 6870 ] simplifiying candidate # 1540196505.165 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540196505.165 * * [misc]simplify: iters left: 6 (15 enodes) 1540196505.169 * * [misc]simplify: iters left: 5 (20 enodes) 1540196505.175 * * [misc]simplify: iters left: 4 (26 enodes) 1540196505.183 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196505.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196505.184 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196505.184 * * [misc]simplify: iters left: 6 (19 enodes) 1540196505.189 * * [misc]simplify: iters left: 5 (28 enodes) 1540196505.197 * * [misc]simplify: iters left: 4 (40 enodes) 1540196505.206 * * [misc]simplify: iters left: 3 (59 enodes) 1540196505.215 * * [misc]simplify: iters left: 2 (88 enodes) 1540196505.229 * * [misc]simplify: iters left: 1 (175 enodes) 1540196505.295 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196505.295 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196505.295 * * * * [misc]progress: [ 478 / 6870 ] simplifiying candidate # 1540196505.296 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196505.296 * * [misc]simplify: iters left: 6 (17 enodes) 1540196505.301 * * [misc]simplify: iters left: 5 (25 enodes) 1540196505.309 * * [misc]simplify: iters left: 4 (37 enodes) 1540196505.320 * * [misc]simplify: iters left: 3 (51 enodes) 1540196505.333 * * [misc]simplify: iters left: 2 (62 enodes) 1540196505.342 * * [misc]simplify: iters left: 1 (77 enodes) 1540196505.354 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196505.354 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196505.354 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196505.354 * * [misc]simplify: iters left: 6 (17 enodes) 1540196505.357 * * [misc]simplify: iters left: 5 (22 enodes) 1540196505.360 * * [misc]simplify: iters left: 4 (26 enodes) 1540196505.363 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196505.363 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196505.363 * * * * [misc]progress: [ 479 / 6870 ] simplifiying candidate # 1540196505.364 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196505.364 * * [misc]simplify: iters left: 6 (20 enodes) 1540196505.370 * * [misc]simplify: iters left: 5 (32 enodes) 1540196505.379 * * [misc]simplify: iters left: 4 (59 enodes) 1540196505.398 * * [misc]simplify: iters left: 3 (128 enodes) 1540196505.451 * * [misc]simplify: iters left: 2 (266 enodes) 1540196505.573 * * [misc]simplify: iters left: 1 (457 enodes) 1540196505.818 * [exit]simplify: Simplified to (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196505.818 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196505.819 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196505.819 * * [misc]simplify: iters left: 6 (19 enodes) 1540196505.821 * * [misc]simplify: iters left: 5 (26 enodes) 1540196505.825 * * [misc]simplify: iters left: 4 (37 enodes) 1540196505.830 * * [misc]simplify: iters left: 3 (52 enodes) 1540196505.837 * * [misc]simplify: iters left: 2 (69 enodes) 1540196505.846 * * [misc]simplify: iters left: 1 (86 enodes) 1540196505.858 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196505.858 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196505.858 * * * * [misc]progress: [ 480 / 6870 ] simplifiying candidate # 1540196505.858 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196505.858 * * [misc]simplify: iters left: 6 (19 enodes) 1540196505.863 * * [misc]simplify: iters left: 5 (29 enodes) 1540196505.873 * * [misc]simplify: iters left: 4 (48 enodes) 1540196505.887 * * [misc]simplify: iters left: 3 (91 enodes) 1540196505.917 * * [misc]simplify: iters left: 2 (149 enodes) 1540196505.970 * * [misc]simplify: iters left: 1 (195 enodes) 1540196506.006 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196506.006 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196506.006 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196506.006 * * [misc]simplify: iters left: 6 (19 enodes) 1540196506.009 * * [misc]simplify: iters left: 5 (26 enodes) 1540196506.013 * * [misc]simplify: iters left: 4 (37 enodes) 1540196506.018 * * [misc]simplify: iters left: 3 (52 enodes) 1540196506.024 * * [misc]simplify: iters left: 2 (69 enodes) 1540196506.034 * * [misc]simplify: iters left: 1 (86 enodes) 1540196506.046 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196506.046 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196506.046 * * * * [misc]progress: [ 481 / 6870 ] simplifiying candidate # 1540196506.046 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196506.046 * * [misc]simplify: iters left: 6 (16 enodes) 1540196506.049 * * [misc]simplify: iters left: 5 (29 enodes) 1540196506.055 * * [misc]simplify: iters left: 4 (61 enodes) 1540196506.069 * * [misc]simplify: iters left: 3 (196 enodes) 1540196506.193 * [exit]simplify: Simplified to (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196506.193 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196506.194 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196506.194 * * [misc]simplify: iters left: 6 (16 enodes) 1540196506.196 * * [misc]simplify: iters left: 5 (24 enodes) 1540196506.200 * * [misc]simplify: iters left: 4 (41 enodes) 1540196506.206 * * [misc]simplify: iters left: 3 (86 enodes) 1540196506.231 * * [misc]simplify: iters left: 2 (151 enodes) 1540196506.295 * * [misc]simplify: iters left: 1 (233 enodes) 1540196506.365 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196506.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196506.365 * * * * [misc]progress: [ 482 / 6870 ] simplifiying candidate # 1540196506.365 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196506.366 * * [misc]simplify: iters left: 6 (16 enodes) 1540196506.372 * * [misc]simplify: iters left: 5 (29 enodes) 1540196506.381 * * [misc]simplify: iters left: 4 (61 enodes) 1540196506.398 * * [misc]simplify: iters left: 3 (196 enodes) 1540196506.503 * [exit]simplify: Simplified to (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196506.504 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196506.504 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196506.504 * * [misc]simplify: iters left: 6 (16 enodes) 1540196506.506 * * [misc]simplify: iters left: 5 (24 enodes) 1540196506.510 * * [misc]simplify: iters left: 4 (41 enodes) 1540196506.516 * * [misc]simplify: iters left: 3 (86 enodes) 1540196506.534 * * [misc]simplify: iters left: 2 (151 enodes) 1540196506.569 * * [misc]simplify: iters left: 1 (233 enodes) 1540196506.634 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196506.634 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196506.634 * * * * [misc]progress: [ 483 / 6870 ] simplifiying candidate # 1540196506.635 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196506.635 * * [misc]simplify: iters left: 6 (20 enodes) 1540196506.638 * * [misc]simplify: iters left: 5 (38 enodes) 1540196506.644 * * [misc]simplify: iters left: 4 (93 enodes) 1540196506.666 * * [misc]simplify: iters left: 3 (308 enodes) 1540196506.861 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3))) 1540196506.862 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196506.862 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196506.862 * * [misc]simplify: iters left: 6 (19 enodes) 1540196506.864 * * [misc]simplify: iters left: 5 (28 enodes) 1540196506.869 * * [misc]simplify: iters left: 4 (46 enodes) 1540196506.875 * * [misc]simplify: iters left: 3 (91 enodes) 1540196506.898 * * [misc]simplify: iters left: 2 (156 enodes) 1540196506.951 * * [misc]simplify: iters left: 1 (235 enodes) 1540196507.012 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196507.012 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196507.012 * * * * [misc]progress: [ 484 / 6870 ] simplifiying candidate # 1540196507.012 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196507.012 * * [misc]simplify: iters left: 6 (19 enodes) 1540196507.015 * * [misc]simplify: iters left: 5 (33 enodes) 1540196507.020 * * [misc]simplify: iters left: 4 (68 enodes) 1540196507.033 * * [misc]simplify: iters left: 3 (203 enodes) 1540196507.132 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196507.132 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196507.132 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196507.132 * * [misc]simplify: iters left: 6 (19 enodes) 1540196507.135 * * [misc]simplify: iters left: 5 (28 enodes) 1540196507.139 * * [misc]simplify: iters left: 4 (46 enodes) 1540196507.145 * * [misc]simplify: iters left: 3 (91 enodes) 1540196507.162 * * [misc]simplify: iters left: 2 (156 enodes) 1540196507.224 * * [misc]simplify: iters left: 1 (235 enodes) 1540196507.289 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196507.289 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196507.289 * * * * [misc]progress: [ 485 / 6870 ] simplifiying candidate # 1540196507.289 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196507.290 * * [misc]simplify: iters left: 6 (15 enodes) 1540196507.294 * * [misc]simplify: iters left: 5 (29 enodes) 1540196507.302 * * [misc]simplify: iters left: 4 (65 enodes) 1540196507.316 * * [misc]simplify: iters left: 3 (189 enodes) 1540196507.502 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) 1540196507.502 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196507.502 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196507.502 * * [misc]simplify: iters left: 6 (18 enodes) 1540196507.508 * * [misc]simplify: iters left: 5 (27 enodes) 1540196507.515 * * [misc]simplify: iters left: 4 (45 enodes) 1540196507.530 * * [misc]simplify: iters left: 3 (90 enodes) 1540196507.546 * * [misc]simplify: iters left: 2 (155 enodes) 1540196507.585 * * [misc]simplify: iters left: 1 (238 enodes) 1540196507.667 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196507.667 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196507.668 * * * * [misc]progress: [ 486 / 6870 ] simplifiying candidate # 1540196507.668 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196507.668 * * [misc]simplify: iters left: 6 (19 enodes) 1540196507.672 * * [misc]simplify: iters left: 5 (31 enodes) 1540196507.677 * * [misc]simplify: iters left: 4 (55 enodes) 1540196507.687 * * [misc]simplify: iters left: 3 (136 enodes) 1540196507.735 * * [misc]simplify: iters left: 2 (352 enodes) 1540196507.927 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196507.927 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196507.928 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196507.928 * * [misc]simplify: iters left: 6 (18 enodes) 1540196507.930 * * [misc]simplify: iters left: 5 (26 enodes) 1540196507.934 * * [misc]simplify: iters left: 4 (44 enodes) 1540196507.941 * * [misc]simplify: iters left: 3 (92 enodes) 1540196507.966 * * [misc]simplify: iters left: 2 (179 enodes) 1540196508.023 * * [misc]simplify: iters left: 1 (315 enodes) 1540196508.213 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196508.213 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196508.213 * * * * [misc]progress: [ 487 / 6870 ] simplifiying candidate # 1540196508.214 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196508.214 * * [misc]simplify: iters left: 6 (19 enodes) 1540196508.221 * * [misc]simplify: iters left: 5 (31 enodes) 1540196508.230 * * [misc]simplify: iters left: 4 (55 enodes) 1540196508.250 * * [misc]simplify: iters left: 3 (136 enodes) 1540196508.306 * * [misc]simplify: iters left: 2 (352 enodes) 1540196508.492 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196508.492 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196508.492 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196508.492 * * [misc]simplify: iters left: 6 (18 enodes) 1540196508.497 * * [misc]simplify: iters left: 5 (26 enodes) 1540196508.504 * * [misc]simplify: iters left: 4 (44 enodes) 1540196508.517 * * [misc]simplify: iters left: 3 (92 enodes) 1540196508.543 * * [misc]simplify: iters left: 2 (179 enodes) 1540196508.602 * * [misc]simplify: iters left: 1 (315 enodes) 1540196508.757 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196508.757 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196508.757 * * * * [misc]progress: [ 488 / 6870 ] simplifiying candidate # 1540196508.757 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196508.757 * * [misc]simplify: iters left: 6 (23 enodes) 1540196508.760 * * [misc]simplify: iters left: 5 (38 enodes) 1540196508.766 * * [misc]simplify: iters left: 4 (71 enodes) 1540196508.779 * * [misc]simplify: iters left: 3 (188 enodes) 1540196508.873 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196508.873 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196508.873 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196508.873 * * [misc]simplify: iters left: 6 (21 enodes) 1540196508.879 * * [misc]simplify: iters left: 5 (30 enodes) 1540196508.888 * * [misc]simplify: iters left: 4 (49 enodes) 1540196508.903 * * [misc]simplify: iters left: 3 (97 enodes) 1540196508.938 * * [misc]simplify: iters left: 2 (184 enodes) 1540196508.984 * * [misc]simplify: iters left: 1 (320 enodes) 1540196509.128 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196509.128 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196509.128 * * * * [misc]progress: [ 489 / 6870 ] simplifiying candidate # 1540196509.129 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196509.129 * * [misc]simplify: iters left: 6 (22 enodes) 1540196509.135 * * [misc]simplify: iters left: 5 (35 enodes) 1540196509.145 * * [misc]simplify: iters left: 4 (62 enodes) 1540196509.165 * * [misc]simplify: iters left: 3 (143 enodes) 1540196509.223 * * [misc]simplify: iters left: 2 (359 enodes) 1540196509.453 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196509.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196509.454 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196509.454 * * [misc]simplify: iters left: 6 (21 enodes) 1540196509.457 * * [misc]simplify: iters left: 5 (30 enodes) 1540196509.461 * * [misc]simplify: iters left: 4 (49 enodes) 1540196509.473 * * [misc]simplify: iters left: 3 (97 enodes) 1540196509.499 * * [misc]simplify: iters left: 2 (184 enodes) 1540196509.554 * * [misc]simplify: iters left: 1 (320 enodes) 1540196509.720 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196509.720 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196509.720 * * * * [misc]progress: [ 490 / 6870 ] simplifiying candidate # 1540196509.720 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196509.720 * * [misc]simplify: iters left: 6 (18 enodes) 1540196509.728 * * [misc]simplify: iters left: 5 (30 enodes) 1540196509.736 * * [misc]simplify: iters left: 4 (51 enodes) 1540196509.745 * * [misc]simplify: iters left: 3 (114 enodes) 1540196509.777 * * [misc]simplify: iters left: 2 (299 enodes) 1540196509.986 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196509.986 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196509.986 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196509.986 * * [misc]simplify: iters left: 6 (20 enodes) 1540196509.989 * * [misc]simplify: iters left: 5 (29 enodes) 1540196509.993 * * [misc]simplify: iters left: 4 (48 enodes) 1540196510.000 * * [misc]simplify: iters left: 3 (96 enodes) 1540196510.021 * * [misc]simplify: iters left: 2 (183 enodes) 1540196510.084 * * [misc]simplify: iters left: 1 (325 enodes) 1540196510.243 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196510.243 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196510.243 * * * * [misc]progress: [ 491 / 6870 ] simplifiying candidate # 1540196510.243 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196510.243 * * [misc]simplify: iters left: 6 (17 enodes) 1540196510.249 * * [misc]simplify: iters left: 5 (28 enodes) 1540196510.257 * * [misc]simplify: iters left: 4 (52 enodes) 1540196510.267 * * [misc]simplify: iters left: 3 (133 enodes) 1540196510.314 * * [misc]simplify: iters left: 2 (351 enodes) 1540196510.503 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196510.503 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196510.503 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196510.503 * * [misc]simplify: iters left: 6 (17 enodes) 1540196510.505 * * [misc]simplify: iters left: 5 (25 enodes) 1540196510.509 * * [misc]simplify: iters left: 4 (43 enodes) 1540196510.516 * * [misc]simplify: iters left: 3 (91 enodes) 1540196510.533 * * [misc]simplify: iters left: 2 (178 enodes) 1540196510.587 * * [misc]simplify: iters left: 1 (319 enodes) 1540196510.716 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196510.716 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196510.716 * * * * [misc]progress: [ 492 / 6870 ] simplifiying candidate # 1540196510.716 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196510.717 * * [misc]simplify: iters left: 6 (17 enodes) 1540196510.723 * * [misc]simplify: iters left: 5 (28 enodes) 1540196510.732 * * [misc]simplify: iters left: 4 (52 enodes) 1540196510.749 * * [misc]simplify: iters left: 3 (133 enodes) 1540196510.795 * * [misc]simplify: iters left: 2 (351 enodes) 1540196511.015 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196511.015 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196511.015 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196511.015 * * [misc]simplify: iters left: 6 (17 enodes) 1540196511.018 * * [misc]simplify: iters left: 5 (25 enodes) 1540196511.021 * * [misc]simplify: iters left: 4 (43 enodes) 1540196511.032 * * [misc]simplify: iters left: 3 (91 enodes) 1540196511.068 * * [misc]simplify: iters left: 2 (178 enodes) 1540196511.145 * * [misc]simplify: iters left: 1 (319 enodes) 1540196511.266 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196511.266 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196511.266 * * * * [misc]progress: [ 493 / 6870 ] simplifiying candidate # 1540196511.266 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196511.266 * * [misc]simplify: iters left: 6 (21 enodes) 1540196511.269 * * [misc]simplify: iters left: 5 (35 enodes) 1540196511.274 * * [misc]simplify: iters left: 4 (68 enodes) 1540196511.287 * * [misc]simplify: iters left: 3 (185 enodes) 1540196511.368 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196511.369 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196511.369 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196511.369 * * [misc]simplify: iters left: 6 (20 enodes) 1540196511.372 * * [misc]simplify: iters left: 5 (29 enodes) 1540196511.376 * * [misc]simplify: iters left: 4 (48 enodes) 1540196511.384 * * [misc]simplify: iters left: 3 (96 enodes) 1540196511.402 * * [misc]simplify: iters left: 2 (183 enodes) 1540196511.443 * * [misc]simplify: iters left: 1 (325 enodes) 1540196511.555 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196511.555 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196511.555 * * * * [misc]progress: [ 494 / 6870 ] simplifiying candidate # 1540196511.555 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196511.556 * * [misc]simplify: iters left: 6 (20 enodes) 1540196511.558 * * [misc]simplify: iters left: 5 (32 enodes) 1540196511.563 * * [misc]simplify: iters left: 4 (59 enodes) 1540196511.579 * * [misc]simplify: iters left: 3 (140 enodes) 1540196511.640 * * [misc]simplify: iters left: 2 (355 enodes) 1540196511.830 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196511.830 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196511.831 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196511.831 * * [misc]simplify: iters left: 6 (20 enodes) 1540196511.834 * * [misc]simplify: iters left: 5 (29 enodes) 1540196511.838 * * [misc]simplify: iters left: 4 (48 enodes) 1540196511.845 * * [misc]simplify: iters left: 3 (96 enodes) 1540196511.862 * * [misc]simplify: iters left: 2 (183 enodes) 1540196511.904 * * [misc]simplify: iters left: 1 (325 enodes) 1540196512.031 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196512.031 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196512.031 * * * * [misc]progress: [ 495 / 6870 ] simplifiying candidate # 1540196512.031 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196512.031 * * [misc]simplify: iters left: 6 (16 enodes) 1540196512.034 * * [misc]simplify: iters left: 5 (28 enodes) 1540196512.038 * * [misc]simplify: iters left: 4 (54 enodes) 1540196512.047 * * [misc]simplify: iters left: 3 (103 enodes) 1540196512.069 * * [misc]simplify: iters left: 2 (238 enodes) 1540196512.155 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196512.155 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196512.155 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196512.155 * * [misc]simplify: iters left: 6 (19 enodes) 1540196512.158 * * [misc]simplify: iters left: 5 (28 enodes) 1540196512.162 * * [misc]simplify: iters left: 4 (47 enodes) 1540196512.169 * * [misc]simplify: iters left: 3 (95 enodes) 1540196512.188 * * [misc]simplify: iters left: 2 (182 enodes) 1540196512.229 * * [misc]simplify: iters left: 1 (322 enodes) 1540196512.369 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196512.369 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196512.369 * * * * [misc]progress: [ 496 / 6870 ] simplifiying candidate # 1540196512.369 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196512.369 * * [misc]simplify: iters left: 6 (18 enodes) 1540196512.373 * * [misc]simplify: iters left: 5 (31 enodes) 1540196512.381 * * [misc]simplify: iters left: 4 (57 enodes) 1540196512.404 * * [misc]simplify: iters left: 3 (168 enodes) 1540196512.488 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196512.488 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196512.488 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196512.488 * * [misc]simplify: iters left: 6 (16 enodes) 1540196512.493 * * [misc]simplify: iters left: 5 (24 enodes) 1540196512.497 * * [misc]simplify: iters left: 4 (42 enodes) 1540196512.504 * * [misc]simplify: iters left: 3 (90 enodes) 1540196512.522 * * [misc]simplify: iters left: 2 (177 enodes) 1540196512.580 * * [misc]simplify: iters left: 1 (315 enodes) 1540196512.738 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196512.738 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196512.738 * * * * [misc]progress: [ 497 / 6870 ] simplifiying candidate # 1540196512.738 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196512.738 * * [misc]simplify: iters left: 6 (18 enodes) 1540196512.742 * * [misc]simplify: iters left: 5 (31 enodes) 1540196512.747 * * [misc]simplify: iters left: 4 (57 enodes) 1540196512.759 * * [misc]simplify: iters left: 3 (168 enodes) 1540196512.855 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196512.855 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196512.855 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196512.855 * * [misc]simplify: iters left: 6 (16 enodes) 1540196512.857 * * [misc]simplify: iters left: 5 (24 enodes) 1540196512.861 * * [misc]simplify: iters left: 4 (42 enodes) 1540196512.867 * * [misc]simplify: iters left: 3 (90 enodes) 1540196512.884 * * [misc]simplify: iters left: 2 (177 enodes) 1540196512.933 * * [misc]simplify: iters left: 1 (315 enodes) 1540196513.073 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196513.073 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196513.073 * * * * [misc]progress: [ 498 / 6870 ] simplifiying candidate # 1540196513.073 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196513.073 * * [misc]simplify: iters left: 6 (22 enodes) 1540196513.079 * * [misc]simplify: iters left: 5 (38 enodes) 1540196513.090 * * [misc]simplify: iters left: 4 (74 enodes) 1540196513.121 * * [misc]simplify: iters left: 3 (230 enodes) 1540196513.264 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) 1540196513.264 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196513.265 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196513.265 * * [misc]simplify: iters left: 6 (19 enodes) 1540196513.267 * * [misc]simplify: iters left: 5 (28 enodes) 1540196513.271 * * [misc]simplify: iters left: 4 (47 enodes) 1540196513.278 * * [misc]simplify: iters left: 3 (95 enodes) 1540196513.296 * * [misc]simplify: iters left: 2 (182 enodes) 1540196513.337 * * [misc]simplify: iters left: 1 (320 enodes) 1540196513.490 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196513.490 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196513.490 * * * * [misc]progress: [ 499 / 6870 ] simplifiying candidate # 1540196513.490 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196513.491 * * [misc]simplify: iters left: 6 (21 enodes) 1540196513.497 * * [misc]simplify: iters left: 5 (35 enodes) 1540196513.506 * * [misc]simplify: iters left: 4 (64 enodes) 1540196513.528 * * [misc]simplify: iters left: 3 (175 enodes) 1540196513.610 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196513.610 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196513.610 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196513.610 * * [misc]simplify: iters left: 6 (19 enodes) 1540196513.616 * * [misc]simplify: iters left: 5 (28 enodes) 1540196513.624 * * [misc]simplify: iters left: 4 (47 enodes) 1540196513.638 * * [misc]simplify: iters left: 3 (95 enodes) 1540196513.672 * * [misc]simplify: iters left: 2 (182 enodes) 1540196513.755 * * [misc]simplify: iters left: 1 (320 enodes) 1540196513.950 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196513.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196513.950 * * * * [misc]progress: [ 500 / 6870 ] simplifiying candidate # 1540196513.950 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196513.950 * * [misc]simplify: iters left: 6 (16 enodes) 1540196513.956 * * [misc]simplify: iters left: 5 (28 enodes) 1540196513.963 * * [misc]simplify: iters left: 4 (42 enodes) 1540196513.972 * * [misc]simplify: iters left: 3 (83 enodes) 1540196513.988 * * [misc]simplify: iters left: 2 (176 enodes) 1540196514.064 * * [misc]simplify: iters left: 1 (327 enodes) 1540196514.419 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540196514.419 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196514.419 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196514.419 * * [misc]simplify: iters left: 6 (18 enodes) 1540196514.424 * * [misc]simplify: iters left: 5 (27 enodes) 1540196514.432 * * [misc]simplify: iters left: 4 (46 enodes) 1540196514.446 * * [misc]simplify: iters left: 3 (94 enodes) 1540196514.482 * * [misc]simplify: iters left: 2 (181 enodes) 1540196514.561 * * [misc]simplify: iters left: 1 (322 enodes) 1540196514.705 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196514.705 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196514.705 * * * * [misc]progress: [ 501 / 6870 ] simplifiying candidate # 1540196514.705 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196514.705 * * [misc]simplify: iters left: 6 (17 enodes) 1540196514.711 * * [misc]simplify: iters left: 5 (28 enodes) 1540196514.718 * * [misc]simplify: iters left: 4 (52 enodes) 1540196514.727 * * [misc]simplify: iters left: 3 (133 enodes) 1540196514.777 * * [misc]simplify: iters left: 2 (351 enodes) 1540196515.006 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196515.006 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196515.007 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196515.007 * * [misc]simplify: iters left: 6 (17 enodes) 1540196515.012 * * [misc]simplify: iters left: 5 (25 enodes) 1540196515.019 * * [misc]simplify: iters left: 4 (43 enodes) 1540196515.032 * * [misc]simplify: iters left: 3 (91 enodes) 1540196515.051 * * [misc]simplify: iters left: 2 (178 enodes) 1540196515.119 * * [misc]simplify: iters left: 1 (319 enodes) 1540196515.290 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196515.290 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196515.290 * * * * [misc]progress: [ 502 / 6870 ] simplifiying candidate # 1540196515.290 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196515.290 * * [misc]simplify: iters left: 6 (17 enodes) 1540196515.294 * * [misc]simplify: iters left: 5 (28 enodes) 1540196515.300 * * [misc]simplify: iters left: 4 (52 enodes) 1540196515.310 * * [misc]simplify: iters left: 3 (133 enodes) 1540196515.353 * * [misc]simplify: iters left: 2 (351 enodes) 1540196515.569 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196515.569 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196515.570 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196515.570 * * [misc]simplify: iters left: 6 (17 enodes) 1540196515.572 * * [misc]simplify: iters left: 5 (25 enodes) 1540196515.576 * * [misc]simplify: iters left: 4 (43 enodes) 1540196515.582 * * [misc]simplify: iters left: 3 (91 enodes) 1540196515.608 * * [misc]simplify: iters left: 2 (178 enodes) 1540196515.665 * * [misc]simplify: iters left: 1 (319 enodes) 1540196515.793 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196515.793 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196515.793 * * * * [misc]progress: [ 503 / 6870 ] simplifiying candidate # 1540196515.793 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196515.793 * * [misc]simplify: iters left: 6 (21 enodes) 1540196515.798 * * [misc]simplify: iters left: 5 (35 enodes) 1540196515.808 * * [misc]simplify: iters left: 4 (68 enodes) 1540196515.833 * * [misc]simplify: iters left: 3 (185 enodes) 1540196515.939 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196515.939 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196515.939 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196515.940 * * [misc]simplify: iters left: 6 (20 enodes) 1540196515.945 * * [misc]simplify: iters left: 5 (29 enodes) 1540196515.953 * * [misc]simplify: iters left: 4 (48 enodes) 1540196515.960 * * [misc]simplify: iters left: 3 (96 enodes) 1540196515.979 * * [misc]simplify: iters left: 2 (183 enodes) 1540196516.062 * * [misc]simplify: iters left: 1 (325 enodes) 1540196516.231 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196516.231 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196516.231 * * * * [misc]progress: [ 504 / 6870 ] simplifiying candidate # 1540196516.231 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196516.232 * * [misc]simplify: iters left: 6 (20 enodes) 1540196516.235 * * [misc]simplify: iters left: 5 (32 enodes) 1540196516.240 * * [misc]simplify: iters left: 4 (59 enodes) 1540196516.250 * * [misc]simplify: iters left: 3 (140 enodes) 1540196516.287 * * [misc]simplify: iters left: 2 (355 enodes) 1540196516.479 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196516.479 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196516.479 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196516.479 * * [misc]simplify: iters left: 6 (20 enodes) 1540196516.482 * * [misc]simplify: iters left: 5 (29 enodes) 1540196516.486 * * [misc]simplify: iters left: 4 (48 enodes) 1540196516.495 * * [misc]simplify: iters left: 3 (96 enodes) 1540196516.512 * * [misc]simplify: iters left: 2 (183 enodes) 1540196516.566 * * [misc]simplify: iters left: 1 (325 enodes) 1540196516.716 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196516.716 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196516.716 * * * * [misc]progress: [ 505 / 6870 ] simplifiying candidate # 1540196516.716 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196516.716 * * [misc]simplify: iters left: 6 (16 enodes) 1540196516.719 * * [misc]simplify: iters left: 5 (28 enodes) 1540196516.723 * * [misc]simplify: iters left: 4 (54 enodes) 1540196516.733 * * [misc]simplify: iters left: 3 (103 enodes) 1540196516.754 * * [misc]simplify: iters left: 2 (238 enodes) 1540196516.888 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196516.888 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196516.889 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196516.889 * * [misc]simplify: iters left: 6 (19 enodes) 1540196516.894 * * [misc]simplify: iters left: 5 (28 enodes) 1540196516.898 * * [misc]simplify: iters left: 4 (47 enodes) 1540196516.907 * * [misc]simplify: iters left: 3 (95 enodes) 1540196516.926 * * [misc]simplify: iters left: 2 (182 enodes) 1540196516.974 * * [misc]simplify: iters left: 1 (322 enodes) 1540196517.120 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196517.121 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196517.121 * * * * [misc]progress: [ 506 / 6870 ] simplifiying candidate # 1540196517.121 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196517.121 * * [misc]simplify: iters left: 6 (17 enodes) 1540196517.127 * * [misc]simplify: iters left: 5 (30 enodes) 1540196517.136 * * [misc]simplify: iters left: 4 (52 enodes) 1540196517.149 * * [misc]simplify: iters left: 3 (134 enodes) 1540196517.190 * * [misc]simplify: iters left: 2 (407 enodes) 1540196517.906 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196517.906 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196517.906 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196517.906 * * [misc]simplify: iters left: 6 (16 enodes) 1540196517.909 * * [misc]simplify: iters left: 5 (24 enodes) 1540196517.912 * * [misc]simplify: iters left: 4 (42 enodes) 1540196517.922 * * [misc]simplify: iters left: 3 (90 enodes) 1540196517.960 * * [misc]simplify: iters left: 2 (177 enodes) 1540196518.019 * * [misc]simplify: iters left: 1 (315 enodes) 1540196518.126 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196518.126 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196518.126 * * * * [misc]progress: [ 507 / 6870 ] simplifiying candidate # 1540196518.126 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196518.126 * * [misc]simplify: iters left: 6 (17 enodes) 1540196518.130 * * [misc]simplify: iters left: 5 (30 enodes) 1540196518.137 * * [misc]simplify: iters left: 4 (52 enodes) 1540196518.156 * * [misc]simplify: iters left: 3 (134 enodes) 1540196518.226 * * [misc]simplify: iters left: 2 (407 enodes) 1540196518.556 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196518.556 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196518.556 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196518.556 * * [misc]simplify: iters left: 6 (16 enodes) 1540196518.558 * * [misc]simplify: iters left: 5 (24 enodes) 1540196518.564 * * [misc]simplify: iters left: 4 (42 enodes) 1540196518.577 * * [misc]simplify: iters left: 3 (90 enodes) 1540196518.596 * * [misc]simplify: iters left: 2 (177 enodes) 1540196518.658 * * [misc]simplify: iters left: 1 (315 enodes) 1540196518.821 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196518.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196518.822 * * * * [misc]progress: [ 508 / 6870 ] simplifiying candidate # 1540196518.822 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196518.823 * * [misc]simplify: iters left: 6 (21 enodes) 1540196518.829 * * [misc]simplify: iters left: 5 (37 enodes) 1540196518.840 * * [misc]simplify: iters left: 4 (68 enodes) 1540196518.867 * * [misc]simplify: iters left: 3 (192 enodes) 1540196518.974 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196518.974 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196518.974 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196518.974 * * [misc]simplify: iters left: 6 (19 enodes) 1540196518.977 * * [misc]simplify: iters left: 5 (28 enodes) 1540196518.981 * * [misc]simplify: iters left: 4 (47 enodes) 1540196518.988 * * [misc]simplify: iters left: 3 (95 enodes) 1540196519.009 * * [misc]simplify: iters left: 2 (182 enodes) 1540196519.074 * * [misc]simplify: iters left: 1 (320 enodes) 1540196519.263 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196519.263 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196519.263 * * * * [misc]progress: [ 509 / 6870 ] simplifiying candidate # 1540196519.264 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196519.264 * * [misc]simplify: iters left: 6 (20 enodes) 1540196519.270 * * [misc]simplify: iters left: 5 (34 enodes) 1540196519.279 * * [misc]simplify: iters left: 4 (59 enodes) 1540196519.302 * * [misc]simplify: iters left: 3 (141 enodes) 1540196519.350 * * [misc]simplify: iters left: 2 (417 enodes) 1540196519.655 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) 1540196519.656 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196519.656 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196519.656 * * [misc]simplify: iters left: 6 (19 enodes) 1540196519.662 * * [misc]simplify: iters left: 5 (28 enodes) 1540196519.670 * * [misc]simplify: iters left: 4 (47 enodes) 1540196519.685 * * [misc]simplify: iters left: 3 (95 enodes) 1540196519.723 * * [misc]simplify: iters left: 2 (182 enodes) 1540196519.779 * * [misc]simplify: iters left: 1 (320 enodes) 1540196519.931 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196519.931 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196519.931 * * * * [misc]progress: [ 510 / 6870 ] simplifiying candidate # 1540196519.931 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540196519.931 * * [misc]simplify: iters left: 6 (15 enodes) 1540196519.936 * * [misc]simplify: iters left: 5 (25 enodes) 1540196519.943 * * [misc]simplify: iters left: 4 (39 enodes) 1540196519.956 * * [misc]simplify: iters left: 3 (75 enodes) 1540196519.982 * * [misc]simplify: iters left: 2 (152 enodes) 1540196520.032 * * [misc]simplify: iters left: 1 (207 enodes) 1540196520.059 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540196520.059 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196520.059 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196520.059 * * [misc]simplify: iters left: 6 (18 enodes) 1540196520.062 * * [misc]simplify: iters left: 5 (27 enodes) 1540196520.068 * * [misc]simplify: iters left: 4 (46 enodes) 1540196520.083 * * [misc]simplify: iters left: 3 (94 enodes) 1540196520.118 * * [misc]simplify: iters left: 2 (181 enodes) 1540196520.165 * * [misc]simplify: iters left: 1 (322 enodes) 1540196520.291 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196520.291 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196520.291 * * * * [misc]progress: [ 511 / 6870 ] simplifiying candidate # 1540196520.291 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1) 1540196520.291 * * [misc]simplify: iters left: 6 (14 enodes) 1540196520.293 * * [misc]simplify: iters left: 5 (24 enodes) 1540196520.296 * * [misc]simplify: iters left: 4 (41 enodes) 1540196520.307 * * [misc]simplify: iters left: 3 (87 enodes) 1540196520.329 * * [misc]simplify: iters left: 2 (174 enodes) 1540196520.392 * * [misc]simplify: iters left: 1 (237 enodes) 1540196520.430 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540196520.431 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196520.431 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196520.431 * * [misc]simplify: iters left: 6 (18 enodes) 1540196520.436 * * [misc]simplify: iters left: 5 (27 enodes) 1540196520.440 * * [misc]simplify: iters left: 4 (46 enodes) 1540196520.447 * * [misc]simplify: iters left: 3 (94 enodes) 1540196520.464 * * [misc]simplify: iters left: 2 (181 enodes) 1540196520.508 * * [misc]simplify: iters left: 1 (322 enodes) 1540196520.673 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196520.673 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196520.673 * * * * [misc]progress: [ 512 / 6870 ] simplifiying candidate # 1540196520.674 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540196520.674 * * [misc]simplify: iters left: 6 (13 enodes) 1540196520.676 * * [misc]simplify: iters left: 5 (21 enodes) 1540196520.679 * * [misc]simplify: iters left: 4 (37 enodes) 1540196520.685 * * [misc]simplify: iters left: 3 (80 enodes) 1540196520.699 * * [misc]simplify: iters left: 2 (138 enodes) 1540196520.736 * * [misc]simplify: iters left: 1 (186 enodes) 1540196520.787 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196520.787 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196520.787 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196520.787 * * [misc]simplify: iters left: 6 (19 enodes) 1540196520.790 * * [misc]simplify: iters left: 5 (30 enodes) 1540196520.794 * * [misc]simplify: iters left: 4 (47 enodes) 1540196520.802 * * [misc]simplify: iters left: 3 (99 enodes) 1540196520.825 * * [misc]simplify: iters left: 2 (206 enodes) 1540196520.902 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540196520.902 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))))) 1540196520.903 * * * * [misc]progress: [ 513 / 6870 ] simplifiying candidate # 1540196520.903 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196520.903 * * [misc]simplify: iters left: 6 (16 enodes) 1540196520.906 * * [misc]simplify: iters left: 5 (27 enodes) 1540196520.911 * * [misc]simplify: iters left: 4 (51 enodes) 1540196520.921 * * [misc]simplify: iters left: 3 (132 enodes) 1540196520.962 * * [misc]simplify: iters left: 2 (349 enodes) 1540196521.170 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540196521.170 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196521.171 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196521.171 * * [misc]simplify: iters left: 6 (15 enodes) 1540196521.175 * * [misc]simplify: iters left: 5 (21 enodes) 1540196521.183 * * [misc]simplify: iters left: 4 (31 enodes) 1540196521.191 * * [misc]simplify: iters left: 3 (46 enodes) 1540196521.203 * * [misc]simplify: iters left: 2 (63 enodes) 1540196521.220 * * [misc]simplify: iters left: 1 (80 enodes) 1540196521.246 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196521.246 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196521.246 * * * * [misc]progress: [ 514 / 6870 ] simplifiying candidate # 1540196521.247 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196521.247 * * [misc]simplify: iters left: 6 (20 enodes) 1540196521.253 * * [misc]simplify: iters left: 5 (32 enodes) 1540196521.263 * * [misc]simplify: iters left: 4 (59 enodes) 1540196521.282 * * [misc]simplify: iters left: 3 (128 enodes) 1540196521.334 * * [misc]simplify: iters left: 2 (266 enodes) 1540196521.454 * * [misc]simplify: iters left: 1 (457 enodes) 1540196521.703 * [exit]simplify: Simplified to (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196521.703 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196521.703 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196521.704 * * [misc]simplify: iters left: 6 (19 enodes) 1540196521.709 * * [misc]simplify: iters left: 5 (26 enodes) 1540196521.716 * * [misc]simplify: iters left: 4 (37 enodes) 1540196521.723 * * [misc]simplify: iters left: 3 (52 enodes) 1540196521.730 * * [misc]simplify: iters left: 2 (69 enodes) 1540196521.742 * * [misc]simplify: iters left: 1 (86 enodes) 1540196521.754 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196521.754 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196521.754 * * * * [misc]progress: [ 515 / 6870 ] simplifiying candidate # 1540196521.754 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196521.754 * * [misc]simplify: iters left: 6 (19 enodes) 1540196521.757 * * [misc]simplify: iters left: 5 (29 enodes) 1540196521.761 * * [misc]simplify: iters left: 4 (48 enodes) 1540196521.768 * * [misc]simplify: iters left: 3 (91 enodes) 1540196521.786 * * [misc]simplify: iters left: 2 (149 enodes) 1540196521.814 * * [misc]simplify: iters left: 1 (195 enodes) 1540196521.861 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196521.861 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196521.862 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196521.862 * * [misc]simplify: iters left: 6 (19 enodes) 1540196521.867 * * [misc]simplify: iters left: 5 (26 enodes) 1540196521.873 * * [misc]simplify: iters left: 4 (37 enodes) 1540196521.883 * * [misc]simplify: iters left: 3 (52 enodes) 1540196521.897 * * [misc]simplify: iters left: 2 (69 enodes) 1540196521.918 * * [misc]simplify: iters left: 1 (86 enodes) 1540196521.942 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196521.942 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196521.942 * * * * [misc]progress: [ 516 / 6870 ] simplifiying candidate # 1540196521.942 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196521.943 * * [misc]simplify: iters left: 6 (16 enodes) 1540196521.949 * * [misc]simplify: iters left: 5 (29 enodes) 1540196521.959 * * [misc]simplify: iters left: 4 (61 enodes) 1540196521.985 * * [misc]simplify: iters left: 3 (196 enodes) 1540196522.064 * [exit]simplify: Simplified to (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196522.064 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196522.064 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196522.065 * * [misc]simplify: iters left: 6 (16 enodes) 1540196522.067 * * [misc]simplify: iters left: 5 (24 enodes) 1540196522.071 * * [misc]simplify: iters left: 4 (41 enodes) 1540196522.077 * * [misc]simplify: iters left: 3 (86 enodes) 1540196522.096 * * [misc]simplify: iters left: 2 (151 enodes) 1540196522.129 * * [misc]simplify: iters left: 1 (233 enodes) 1540196522.211 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196522.212 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196522.212 * * * * [misc]progress: [ 517 / 6870 ] simplifiying candidate # 1540196522.212 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196522.212 * * [misc]simplify: iters left: 6 (16 enodes) 1540196522.217 * * [misc]simplify: iters left: 5 (29 enodes) 1540196522.226 * * [misc]simplify: iters left: 4 (61 enodes) 1540196522.252 * * [misc]simplify: iters left: 3 (196 enodes) 1540196522.402 * [exit]simplify: Simplified to (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196522.402 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196522.403 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196522.403 * * [misc]simplify: iters left: 6 (16 enodes) 1540196522.407 * * [misc]simplify: iters left: 5 (24 enodes) 1540196522.414 * * [misc]simplify: iters left: 4 (41 enodes) 1540196522.427 * * [misc]simplify: iters left: 3 (86 enodes) 1540196522.459 * * [misc]simplify: iters left: 2 (151 enodes) 1540196522.520 * * [misc]simplify: iters left: 1 (233 enodes) 1540196522.595 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196522.595 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196522.595 * * * * [misc]progress: [ 518 / 6870 ] simplifiying candidate # 1540196522.595 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196522.596 * * [misc]simplify: iters left: 6 (20 enodes) 1540196522.599 * * [misc]simplify: iters left: 5 (38 enodes) 1540196522.605 * * [misc]simplify: iters left: 4 (93 enodes) 1540196522.626 * * [misc]simplify: iters left: 3 (308 enodes) 1540196522.824 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3))) 1540196522.824 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196522.824 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196522.825 * * [misc]simplify: iters left: 6 (19 enodes) 1540196522.830 * * [misc]simplify: iters left: 5 (28 enodes) 1540196522.837 * * [misc]simplify: iters left: 4 (46 enodes) 1540196522.851 * * [misc]simplify: iters left: 3 (91 enodes) 1540196522.873 * * [misc]simplify: iters left: 2 (156 enodes) 1540196522.906 * * [misc]simplify: iters left: 1 (235 enodes) 1540196522.983 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196522.983 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196522.983 * * * * [misc]progress: [ 519 / 6870 ] simplifiying candidate # 1540196522.984 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196522.984 * * [misc]simplify: iters left: 6 (19 enodes) 1540196522.986 * * [misc]simplify: iters left: 5 (33 enodes) 1540196522.991 * * [misc]simplify: iters left: 4 (68 enodes) 1540196523.006 * * [misc]simplify: iters left: 3 (203 enodes) 1540196523.101 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196523.101 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196523.101 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196523.101 * * [misc]simplify: iters left: 6 (19 enodes) 1540196523.104 * * [misc]simplify: iters left: 5 (28 enodes) 1540196523.108 * * [misc]simplify: iters left: 4 (46 enodes) 1540196523.115 * * [misc]simplify: iters left: 3 (91 enodes) 1540196523.131 * * [misc]simplify: iters left: 2 (156 enodes) 1540196523.170 * * [misc]simplify: iters left: 1 (235 enodes) 1540196523.236 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196523.236 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196523.236 * * * * [misc]progress: [ 520 / 6870 ] simplifiying candidate # 1540196523.236 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196523.236 * * [misc]simplify: iters left: 6 (15 enodes) 1540196523.238 * * [misc]simplify: iters left: 5 (29 enodes) 1540196523.243 * * [misc]simplify: iters left: 4 (65 enodes) 1540196523.256 * * [misc]simplify: iters left: 3 (189 enodes) 1540196523.372 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) 1540196523.372 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196523.372 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196523.372 * * [misc]simplify: iters left: 6 (18 enodes) 1540196523.375 * * [misc]simplify: iters left: 5 (27 enodes) 1540196523.379 * * [misc]simplify: iters left: 4 (45 enodes) 1540196523.385 * * [misc]simplify: iters left: 3 (90 enodes) 1540196523.401 * * [misc]simplify: iters left: 2 (155 enodes) 1540196523.453 * * [misc]simplify: iters left: 1 (238 enodes) 1540196523.550 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196523.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196523.550 * * * * [misc]progress: [ 521 / 6870 ] simplifiying candidate # 1540196523.550 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196523.550 * * [misc]simplify: iters left: 6 (19 enodes) 1540196523.554 * * [misc]simplify: iters left: 5 (31 enodes) 1540196523.559 * * [misc]simplify: iters left: 4 (55 enodes) 1540196523.568 * * [misc]simplify: iters left: 3 (136 enodes) 1540196523.629 * * [misc]simplify: iters left: 2 (352 enodes) 1540196523.878 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196523.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196523.878 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196523.878 * * [misc]simplify: iters left: 6 (18 enodes) 1540196523.881 * * [misc]simplify: iters left: 5 (26 enodes) 1540196523.885 * * [misc]simplify: iters left: 4 (44 enodes) 1540196523.892 * * [misc]simplify: iters left: 3 (92 enodes) 1540196523.914 * * [misc]simplify: iters left: 2 (179 enodes) 1540196523.957 * * [misc]simplify: iters left: 1 (315 enodes) 1540196524.107 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196524.107 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196524.107 * * * * [misc]progress: [ 522 / 6870 ] simplifiying candidate # 1540196524.107 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196524.107 * * [misc]simplify: iters left: 6 (19 enodes) 1540196524.111 * * [misc]simplify: iters left: 5 (31 enodes) 1540196524.116 * * [misc]simplify: iters left: 4 (55 enodes) 1540196524.126 * * [misc]simplify: iters left: 3 (136 enodes) 1540196524.175 * * [misc]simplify: iters left: 2 (352 enodes) 1540196524.422 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196524.422 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196524.422 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196524.423 * * [misc]simplify: iters left: 6 (18 enodes) 1540196524.425 * * [misc]simplify: iters left: 5 (26 enodes) 1540196524.429 * * [misc]simplify: iters left: 4 (44 enodes) 1540196524.444 * * [misc]simplify: iters left: 3 (92 enodes) 1540196524.479 * * [misc]simplify: iters left: 2 (179 enodes) 1540196524.545 * * [misc]simplify: iters left: 1 (315 enodes) 1540196524.714 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196524.714 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196524.714 * * * * [misc]progress: [ 523 / 6870 ] simplifiying candidate # 1540196524.714 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196524.714 * * [misc]simplify: iters left: 6 (23 enodes) 1540196524.718 * * [misc]simplify: iters left: 5 (38 enodes) 1540196524.723 * * [misc]simplify: iters left: 4 (71 enodes) 1540196524.738 * * [misc]simplify: iters left: 3 (188 enodes) 1540196524.832 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196524.832 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196524.832 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196524.832 * * [misc]simplify: iters left: 6 (21 enodes) 1540196524.835 * * [misc]simplify: iters left: 5 (30 enodes) 1540196524.839 * * [misc]simplify: iters left: 4 (49 enodes) 1540196524.847 * * [misc]simplify: iters left: 3 (97 enodes) 1540196524.866 * * [misc]simplify: iters left: 2 (184 enodes) 1540196524.919 * * [misc]simplify: iters left: 1 (320 enodes) 1540196525.125 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196525.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196525.125 * * * * [misc]progress: [ 524 / 6870 ] simplifiying candidate # 1540196525.125 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196525.126 * * [misc]simplify: iters left: 6 (22 enodes) 1540196525.132 * * [misc]simplify: iters left: 5 (35 enodes) 1540196525.137 * * [misc]simplify: iters left: 4 (62 enodes) 1540196525.147 * * [misc]simplify: iters left: 3 (143 enodes) 1540196525.185 * * [misc]simplify: iters left: 2 (359 enodes) 1540196525.387 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196525.387 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196525.388 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196525.388 * * [misc]simplify: iters left: 6 (21 enodes) 1540196525.394 * * [misc]simplify: iters left: 5 (30 enodes) 1540196525.402 * * [misc]simplify: iters left: 4 (49 enodes) 1540196525.418 * * [misc]simplify: iters left: 3 (97 enodes) 1540196525.453 * * [misc]simplify: iters left: 2 (184 enodes) 1540196525.528 * * [misc]simplify: iters left: 1 (320 enodes) 1540196525.719 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196525.719 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196525.719 * * * * [misc]progress: [ 525 / 6870 ] simplifiying candidate # 1540196525.719 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196525.720 * * [misc]simplify: iters left: 6 (18 enodes) 1540196525.725 * * [misc]simplify: iters left: 5 (30 enodes) 1540196525.734 * * [misc]simplify: iters left: 4 (51 enodes) 1540196525.752 * * [misc]simplify: iters left: 3 (114 enodes) 1540196525.816 * * [misc]simplify: iters left: 2 (299 enodes) 1540196525.959 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196525.960 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196525.960 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196525.960 * * [misc]simplify: iters left: 6 (20 enodes) 1540196525.962 * * [misc]simplify: iters left: 5 (29 enodes) 1540196525.970 * * [misc]simplify: iters left: 4 (48 enodes) 1540196525.983 * * [misc]simplify: iters left: 3 (96 enodes) 1540196526.007 * * [misc]simplify: iters left: 2 (183 enodes) 1540196526.050 * * [misc]simplify: iters left: 1 (325 enodes) 1540196526.188 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196526.188 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196526.188 * * * * [misc]progress: [ 526 / 6870 ] simplifiying candidate # 1540196526.189 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196526.189 * * [misc]simplify: iters left: 6 (17 enodes) 1540196526.193 * * [misc]simplify: iters left: 5 (28 enodes) 1540196526.201 * * [misc]simplify: iters left: 4 (52 enodes) 1540196526.216 * * [misc]simplify: iters left: 3 (133 enodes) 1540196526.253 * * [misc]simplify: iters left: 2 (351 enodes) 1540196526.420 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196526.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196526.420 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196526.420 * * [misc]simplify: iters left: 6 (17 enodes) 1540196526.422 * * [misc]simplify: iters left: 5 (25 enodes) 1540196526.426 * * [misc]simplify: iters left: 4 (43 enodes) 1540196526.434 * * [misc]simplify: iters left: 3 (91 enodes) 1540196526.457 * * [misc]simplify: iters left: 2 (178 enodes) 1540196526.498 * * [misc]simplify: iters left: 1 (319 enodes) 1540196526.657 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196526.657 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196526.657 * * * * [misc]progress: [ 527 / 6870 ] simplifiying candidate # 1540196526.657 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196526.658 * * [misc]simplify: iters left: 6 (17 enodes) 1540196526.664 * * [misc]simplify: iters left: 5 (28 enodes) 1540196526.673 * * [misc]simplify: iters left: 4 (52 enodes) 1540196526.691 * * [misc]simplify: iters left: 3 (133 enodes) 1540196526.761 * * [misc]simplify: iters left: 2 (351 enodes) 1540196526.984 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196526.984 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196526.984 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196526.984 * * [misc]simplify: iters left: 6 (17 enodes) 1540196526.986 * * [misc]simplify: iters left: 5 (25 enodes) 1540196526.990 * * [misc]simplify: iters left: 4 (43 enodes) 1540196526.996 * * [misc]simplify: iters left: 3 (91 enodes) 1540196527.027 * * [misc]simplify: iters left: 2 (178 enodes) 1540196527.107 * * [misc]simplify: iters left: 1 (319 enodes) 1540196527.280 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196527.280 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196527.280 * * * * [misc]progress: [ 528 / 6870 ] simplifiying candidate # 1540196527.280 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196527.280 * * [misc]simplify: iters left: 6 (21 enodes) 1540196527.287 * * [misc]simplify: iters left: 5 (35 enodes) 1540196527.295 * * [misc]simplify: iters left: 4 (68 enodes) 1540196527.308 * * [misc]simplify: iters left: 3 (185 enodes) 1540196527.397 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196527.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196527.398 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196527.398 * * [misc]simplify: iters left: 6 (20 enodes) 1540196527.404 * * [misc]simplify: iters left: 5 (29 enodes) 1540196527.413 * * [misc]simplify: iters left: 4 (48 enodes) 1540196527.429 * * [misc]simplify: iters left: 3 (96 enodes) 1540196527.464 * * [misc]simplify: iters left: 2 (183 enodes) 1540196527.545 * * [misc]simplify: iters left: 1 (325 enodes) 1540196527.729 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196527.729 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196527.729 * * * * [misc]progress: [ 529 / 6870 ] simplifiying candidate # 1540196527.730 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196527.730 * * [misc]simplify: iters left: 6 (20 enodes) 1540196527.733 * * [misc]simplify: iters left: 5 (32 enodes) 1540196527.737 * * [misc]simplify: iters left: 4 (59 enodes) 1540196527.755 * * [misc]simplify: iters left: 3 (140 enodes) 1540196527.811 * * [misc]simplify: iters left: 2 (355 enodes) 1540196528.019 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196528.019 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196528.020 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196528.020 * * [misc]simplify: iters left: 6 (20 enodes) 1540196528.022 * * [misc]simplify: iters left: 5 (29 enodes) 1540196528.026 * * [misc]simplify: iters left: 4 (48 enodes) 1540196528.033 * * [misc]simplify: iters left: 3 (96 enodes) 1540196528.068 * * [misc]simplify: iters left: 2 (183 enodes) 1540196528.133 * * [misc]simplify: iters left: 1 (325 enodes) 1540196528.259 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196528.260 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196528.260 * * * * [misc]progress: [ 530 / 6870 ] simplifiying candidate # 1540196528.260 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196528.260 * * [misc]simplify: iters left: 6 (16 enodes) 1540196528.262 * * [misc]simplify: iters left: 5 (28 enodes) 1540196528.267 * * [misc]simplify: iters left: 4 (54 enodes) 1540196528.275 * * [misc]simplify: iters left: 3 (103 enodes) 1540196528.298 * * [misc]simplify: iters left: 2 (238 enodes) 1540196528.380 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196528.380 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196528.380 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196528.381 * * [misc]simplify: iters left: 6 (19 enodes) 1540196528.383 * * [misc]simplify: iters left: 5 (28 enodes) 1540196528.387 * * [misc]simplify: iters left: 4 (47 enodes) 1540196528.394 * * [misc]simplify: iters left: 3 (95 enodes) 1540196528.413 * * [misc]simplify: iters left: 2 (182 enodes) 1540196528.461 * * [misc]simplify: iters left: 1 (322 enodes) 1540196528.571 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196528.572 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196528.572 * * * * [misc]progress: [ 531 / 6870 ] simplifiying candidate # 1540196528.572 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196528.572 * * [misc]simplify: iters left: 6 (18 enodes) 1540196528.576 * * [misc]simplify: iters left: 5 (31 enodes) 1540196528.580 * * [misc]simplify: iters left: 4 (57 enodes) 1540196528.591 * * [misc]simplify: iters left: 3 (168 enodes) 1540196528.654 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196528.654 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196528.654 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196528.654 * * [misc]simplify: iters left: 6 (16 enodes) 1540196528.657 * * [misc]simplify: iters left: 5 (24 enodes) 1540196528.660 * * [misc]simplify: iters left: 4 (42 enodes) 1540196528.668 * * [misc]simplify: iters left: 3 (90 enodes) 1540196528.687 * * [misc]simplify: iters left: 2 (177 enodes) 1540196528.751 * * [misc]simplify: iters left: 1 (315 enodes) 1540196528.906 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196528.906 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196528.907 * * * * [misc]progress: [ 532 / 6870 ] simplifiying candidate # 1540196528.907 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196528.908 * * [misc]simplify: iters left: 6 (18 enodes) 1540196528.911 * * [misc]simplify: iters left: 5 (31 enodes) 1540196528.916 * * [misc]simplify: iters left: 4 (57 enodes) 1540196528.927 * * [misc]simplify: iters left: 3 (168 enodes) 1540196529.027 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196529.027 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196529.028 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196529.028 * * [misc]simplify: iters left: 6 (16 enodes) 1540196529.030 * * [misc]simplify: iters left: 5 (24 enodes) 1540196529.033 * * [misc]simplify: iters left: 4 (42 enodes) 1540196529.040 * * [misc]simplify: iters left: 3 (90 enodes) 1540196529.059 * * [misc]simplify: iters left: 2 (177 enodes) 1540196529.098 * * [misc]simplify: iters left: 1 (315 enodes) 1540196529.208 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196529.208 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196529.208 * * * * [misc]progress: [ 533 / 6870 ] simplifiying candidate # 1540196529.209 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196529.209 * * [misc]simplify: iters left: 6 (22 enodes) 1540196529.213 * * [misc]simplify: iters left: 5 (38 enodes) 1540196529.218 * * [misc]simplify: iters left: 4 (74 enodes) 1540196529.249 * * [misc]simplify: iters left: 3 (230 enodes) 1540196529.382 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) 1540196529.382 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196529.382 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196529.382 * * [misc]simplify: iters left: 6 (19 enodes) 1540196529.388 * * [misc]simplify: iters left: 5 (28 enodes) 1540196529.396 * * [misc]simplify: iters left: 4 (47 enodes) 1540196529.410 * * [misc]simplify: iters left: 3 (95 enodes) 1540196529.445 * * [misc]simplify: iters left: 2 (182 enodes) 1540196529.530 * * [misc]simplify: iters left: 1 (320 enodes) 1540196529.725 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196529.725 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196529.725 * * * * [misc]progress: [ 534 / 6870 ] simplifiying candidate # 1540196529.725 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196529.726 * * [misc]simplify: iters left: 6 (21 enodes) 1540196529.729 * * [misc]simplify: iters left: 5 (35 enodes) 1540196529.737 * * [misc]simplify: iters left: 4 (64 enodes) 1540196529.760 * * [misc]simplify: iters left: 3 (175 enodes) 1540196529.881 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196529.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196529.882 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196529.882 * * [misc]simplify: iters left: 6 (19 enodes) 1540196529.888 * * [misc]simplify: iters left: 5 (28 enodes) 1540196529.896 * * [misc]simplify: iters left: 4 (47 enodes) 1540196529.909 * * [misc]simplify: iters left: 3 (95 enodes) 1540196529.930 * * [misc]simplify: iters left: 2 (182 enodes) 1540196529.986 * * [misc]simplify: iters left: 1 (320 enodes) 1540196530.122 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196530.122 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196530.122 * * * * [misc]progress: [ 535 / 6870 ] simplifiying candidate # 1540196530.123 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196530.123 * * [misc]simplify: iters left: 6 (16 enodes) 1540196530.128 * * [misc]simplify: iters left: 5 (28 enodes) 1540196530.136 * * [misc]simplify: iters left: 4 (42 enodes) 1540196530.150 * * [misc]simplify: iters left: 3 (83 enodes) 1540196530.185 * * [misc]simplify: iters left: 2 (176 enodes) 1540196530.313 * * [misc]simplify: iters left: 1 (327 enodes) 1540196530.621 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540196530.621 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196530.621 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196530.621 * * [misc]simplify: iters left: 6 (18 enodes) 1540196530.624 * * [misc]simplify: iters left: 5 (27 enodes) 1540196530.628 * * [misc]simplify: iters left: 4 (46 enodes) 1540196530.640 * * [misc]simplify: iters left: 3 (94 enodes) 1540196530.661 * * [misc]simplify: iters left: 2 (181 enodes) 1540196530.710 * * [misc]simplify: iters left: 1 (322 enodes) 1540196530.877 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196530.877 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196530.877 * * * * [misc]progress: [ 536 / 6870 ] simplifiying candidate # 1540196530.877 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196530.877 * * [misc]simplify: iters left: 6 (17 enodes) 1540196530.882 * * [misc]simplify: iters left: 5 (28 enodes) 1540196530.891 * * [misc]simplify: iters left: 4 (52 enodes) 1540196530.910 * * [misc]simplify: iters left: 3 (133 enodes) 1540196530.978 * * [misc]simplify: iters left: 2 (351 enodes) 1540196531.203 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196531.203 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196531.203 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196531.204 * * [misc]simplify: iters left: 6 (17 enodes) 1540196531.209 * * [misc]simplify: iters left: 5 (25 enodes) 1540196531.216 * * [misc]simplify: iters left: 4 (43 enodes) 1540196531.230 * * [misc]simplify: iters left: 3 (91 enodes) 1540196531.255 * * [misc]simplify: iters left: 2 (178 enodes) 1540196531.305 * * [misc]simplify: iters left: 1 (319 enodes) 1540196531.462 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196531.462 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196531.462 * * * * [misc]progress: [ 537 / 6870 ] simplifiying candidate # 1540196531.462 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196531.462 * * [misc]simplify: iters left: 6 (17 enodes) 1540196531.466 * * [misc]simplify: iters left: 5 (28 enodes) 1540196531.470 * * [misc]simplify: iters left: 4 (52 enodes) 1540196531.479 * * [misc]simplify: iters left: 3 (133 enodes) 1540196531.516 * * [misc]simplify: iters left: 2 (351 enodes) 1540196531.723 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196531.723 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196531.724 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196531.724 * * [misc]simplify: iters left: 6 (17 enodes) 1540196531.729 * * [misc]simplify: iters left: 5 (25 enodes) 1540196531.733 * * [misc]simplify: iters left: 4 (43 enodes) 1540196531.740 * * [misc]simplify: iters left: 3 (91 enodes) 1540196531.759 * * [misc]simplify: iters left: 2 (178 enodes) 1540196531.838 * * [misc]simplify: iters left: 1 (319 enodes) 1540196532.001 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196532.001 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196532.001 * * * * [misc]progress: [ 538 / 6870 ] simplifiying candidate # 1540196532.002 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196532.002 * * [misc]simplify: iters left: 6 (21 enodes) 1540196532.008 * * [misc]simplify: iters left: 5 (35 enodes) 1540196532.018 * * [misc]simplify: iters left: 4 (68 enodes) 1540196532.043 * * [misc]simplify: iters left: 3 (185 enodes) 1540196532.136 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196532.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196532.137 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196532.137 * * [misc]simplify: iters left: 6 (20 enodes) 1540196532.142 * * [misc]simplify: iters left: 5 (29 enodes) 1540196532.150 * * [misc]simplify: iters left: 4 (48 enodes) 1540196532.163 * * [misc]simplify: iters left: 3 (96 enodes) 1540196532.181 * * [misc]simplify: iters left: 2 (183 enodes) 1540196532.221 * * [misc]simplify: iters left: 1 (325 enodes) 1540196532.366 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196532.366 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196532.366 * * * * [misc]progress: [ 539 / 6870 ] simplifiying candidate # 1540196532.366 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196532.366 * * [misc]simplify: iters left: 6 (20 enodes) 1540196532.369 * * [misc]simplify: iters left: 5 (32 enodes) 1540196532.375 * * [misc]simplify: iters left: 4 (59 enodes) 1540196532.386 * * [misc]simplify: iters left: 3 (140 enodes) 1540196532.433 * * [misc]simplify: iters left: 2 (355 enodes) 1540196532.703 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196532.703 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196532.703 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196532.703 * * [misc]simplify: iters left: 6 (20 enodes) 1540196532.706 * * [misc]simplify: iters left: 5 (29 enodes) 1540196532.710 * * [misc]simplify: iters left: 4 (48 enodes) 1540196532.720 * * [misc]simplify: iters left: 3 (96 enodes) 1540196532.752 * * [misc]simplify: iters left: 2 (183 enodes) 1540196532.818 * * [misc]simplify: iters left: 1 (325 enodes) 1540196533.014 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196533.014 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196533.015 * * * * [misc]progress: [ 540 / 6870 ] simplifiying candidate # 1540196533.015 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196533.015 * * [misc]simplify: iters left: 6 (16 enodes) 1540196533.020 * * [misc]simplify: iters left: 5 (28 enodes) 1540196533.029 * * [misc]simplify: iters left: 4 (54 enodes) 1540196533.046 * * [misc]simplify: iters left: 3 (103 enodes) 1540196533.088 * * [misc]simplify: iters left: 2 (238 enodes) 1540196533.251 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196533.251 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196533.251 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196533.252 * * [misc]simplify: iters left: 6 (19 enodes) 1540196533.257 * * [misc]simplify: iters left: 5 (28 enodes) 1540196533.264 * * [misc]simplify: iters left: 4 (47 enodes) 1540196533.272 * * [misc]simplify: iters left: 3 (95 enodes) 1540196533.289 * * [misc]simplify: iters left: 2 (182 enodes) 1540196533.356 * * [misc]simplify: iters left: 1 (322 enodes) 1540196533.475 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196533.475 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196533.475 * * * * [misc]progress: [ 541 / 6870 ] simplifiying candidate # 1540196533.476 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196533.476 * * [misc]simplify: iters left: 6 (17 enodes) 1540196533.482 * * [misc]simplify: iters left: 5 (30 enodes) 1540196533.491 * * [misc]simplify: iters left: 4 (52 enodes) 1540196533.503 * * [misc]simplify: iters left: 3 (134 enodes) 1540196533.536 * * [misc]simplify: iters left: 2 (407 enodes) 1540196533.914 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196533.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196533.915 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196533.916 * * [misc]simplify: iters left: 6 (16 enodes) 1540196533.920 * * [misc]simplify: iters left: 5 (24 enodes) 1540196533.927 * * [misc]simplify: iters left: 4 (42 enodes) 1540196533.940 * * [misc]simplify: iters left: 3 (90 enodes) 1540196533.972 * * [misc]simplify: iters left: 2 (177 enodes) 1540196534.035 * * [misc]simplify: iters left: 1 (315 enodes) 1540196534.237 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196534.237 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196534.237 * * * * [misc]progress: [ 542 / 6870 ] simplifiying candidate # 1540196534.238 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196534.238 * * [misc]simplify: iters left: 6 (17 enodes) 1540196534.244 * * [misc]simplify: iters left: 5 (30 enodes) 1540196534.254 * * [misc]simplify: iters left: 4 (52 enodes) 1540196534.273 * * [misc]simplify: iters left: 3 (134 enodes) 1540196534.310 * * [misc]simplify: iters left: 2 (407 enodes) 1540196534.641 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196534.641 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196534.641 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196534.642 * * [misc]simplify: iters left: 6 (16 enodes) 1540196534.646 * * [misc]simplify: iters left: 5 (24 enodes) 1540196534.656 * * [misc]simplify: iters left: 4 (42 enodes) 1540196534.669 * * [misc]simplify: iters left: 3 (90 enodes) 1540196534.703 * * [misc]simplify: iters left: 2 (177 enodes) 1540196534.748 * * [misc]simplify: iters left: 1 (315 enodes) 1540196534.886 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196534.886 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196534.886 * * * * [misc]progress: [ 543 / 6870 ] simplifiying candidate # 1540196534.887 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196534.887 * * [misc]simplify: iters left: 6 (21 enodes) 1540196534.893 * * [misc]simplify: iters left: 5 (37 enodes) 1540196534.902 * * [misc]simplify: iters left: 4 (68 enodes) 1540196534.916 * * [misc]simplify: iters left: 3 (192 enodes) 1540196534.999 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196534.999 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196535.000 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196535.000 * * [misc]simplify: iters left: 6 (19 enodes) 1540196535.005 * * [misc]simplify: iters left: 5 (28 enodes) 1540196535.013 * * [misc]simplify: iters left: 4 (47 enodes) 1540196535.028 * * [misc]simplify: iters left: 3 (95 enodes) 1540196535.063 * * [misc]simplify: iters left: 2 (182 enodes) 1540196535.132 * * [misc]simplify: iters left: 1 (320 enodes) 1540196535.332 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196535.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196535.332 * * * * [misc]progress: [ 544 / 6870 ] simplifiying candidate # 1540196535.332 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196535.333 * * [misc]simplify: iters left: 6 (20 enodes) 1540196535.338 * * [misc]simplify: iters left: 5 (34 enodes) 1540196535.348 * * [misc]simplify: iters left: 4 (59 enodes) 1540196535.368 * * [misc]simplify: iters left: 3 (141 enodes) 1540196535.436 * * [misc]simplify: iters left: 2 (417 enodes) 1540196535.803 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) 1540196535.803 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196535.803 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196535.804 * * [misc]simplify: iters left: 6 (19 enodes) 1540196535.809 * * [misc]simplify: iters left: 5 (28 enodes) 1540196535.817 * * [misc]simplify: iters left: 4 (47 enodes) 1540196535.832 * * [misc]simplify: iters left: 3 (95 enodes) 1540196535.853 * * [misc]simplify: iters left: 2 (182 enodes) 1540196535.918 * * [misc]simplify: iters left: 1 (320 enodes) 1540196536.085 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196536.085 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196536.085 * * * * [misc]progress: [ 545 / 6870 ] simplifiying candidate # 1540196536.085 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540196536.085 * * [misc]simplify: iters left: 6 (15 enodes) 1540196536.092 * * [misc]simplify: iters left: 5 (25 enodes) 1540196536.095 * * [misc]simplify: iters left: 4 (39 enodes) 1540196536.101 * * [misc]simplify: iters left: 3 (75 enodes) 1540196536.114 * * [misc]simplify: iters left: 2 (152 enodes) 1540196536.146 * * [misc]simplify: iters left: 1 (207 enodes) 1540196536.185 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540196536.185 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196536.185 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196536.185 * * [misc]simplify: iters left: 6 (18 enodes) 1540196536.188 * * [misc]simplify: iters left: 5 (27 enodes) 1540196536.192 * * [misc]simplify: iters left: 4 (46 enodes) 1540196536.198 * * [misc]simplify: iters left: 3 (94 enodes) 1540196536.217 * * [misc]simplify: iters left: 2 (181 enodes) 1540196536.272 * * [misc]simplify: iters left: 1 (322 enodes) 1540196536.406 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196536.406 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196536.406 * * * * [misc]progress: [ 546 / 6870 ] simplifiying candidate # 1540196536.406 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1) 1540196536.406 * * [misc]simplify: iters left: 6 (14 enodes) 1540196536.411 * * [misc]simplify: iters left: 5 (24 enodes) 1540196536.418 * * [misc]simplify: iters left: 4 (41 enodes) 1540196536.426 * * [misc]simplify: iters left: 3 (87 enodes) 1540196536.441 * * [misc]simplify: iters left: 2 (174 enodes) 1540196536.501 * * [misc]simplify: iters left: 1 (237 enodes) 1540196536.547 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540196536.547 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196536.547 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196536.547 * * [misc]simplify: iters left: 6 (18 enodes) 1540196536.550 * * [misc]simplify: iters left: 5 (27 enodes) 1540196536.553 * * [misc]simplify: iters left: 4 (46 enodes) 1540196536.561 * * [misc]simplify: iters left: 3 (94 enodes) 1540196536.583 * * [misc]simplify: iters left: 2 (181 enodes) 1540196536.658 * * [misc]simplify: iters left: 1 (322 enodes) 1540196536.819 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196536.819 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196536.819 * * * * [misc]progress: [ 547 / 6870 ] simplifiying candidate # 1540196536.820 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540196536.820 * * [misc]simplify: iters left: 6 (13 enodes) 1540196536.822 * * [misc]simplify: iters left: 5 (21 enodes) 1540196536.825 * * [misc]simplify: iters left: 4 (37 enodes) 1540196536.831 * * [misc]simplify: iters left: 3 (80 enodes) 1540196536.852 * * [misc]simplify: iters left: 2 (138 enodes) 1540196536.905 * * [misc]simplify: iters left: 1 (186 enodes) 1540196536.951 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196536.951 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196536.951 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196536.951 * * [misc]simplify: iters left: 6 (19 enodes) 1540196536.956 * * [misc]simplify: iters left: 5 (30 enodes) 1540196536.963 * * [misc]simplify: iters left: 4 (47 enodes) 1540196536.977 * * [misc]simplify: iters left: 3 (99 enodes) 1540196536.998 * * [misc]simplify: iters left: 2 (206 enodes) 1540196537.113 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540196537.113 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))))) 1540196537.113 * * * * [misc]progress: [ 548 / 6870 ] simplifiying candidate # 1540196537.114 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196537.114 * * [misc]simplify: iters left: 6 (16 enodes) 1540196537.120 * * [misc]simplify: iters left: 5 (27 enodes) 1540196537.128 * * [misc]simplify: iters left: 4 (51 enodes) 1540196537.144 * * [misc]simplify: iters left: 3 (132 enodes) 1540196537.181 * * [misc]simplify: iters left: 2 (349 enodes) 1540196537.452 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540196537.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196537.452 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196537.452 * * [misc]simplify: iters left: 6 (15 enodes) 1540196537.457 * * [misc]simplify: iters left: 5 (21 enodes) 1540196537.460 * * [misc]simplify: iters left: 4 (31 enodes) 1540196537.464 * * [misc]simplify: iters left: 3 (46 enodes) 1540196537.470 * * [misc]simplify: iters left: 2 (63 enodes) 1540196537.482 * * [misc]simplify: iters left: 1 (80 enodes) 1540196537.494 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196537.494 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196537.494 * * * * [misc]progress: [ 549 / 6870 ] simplifiying candidate # 1540196537.494 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196537.494 * * [misc]simplify: iters left: 6 (22 enodes) 1540196537.497 * * [misc]simplify: iters left: 5 (37 enodes) 1540196537.503 * * [misc]simplify: iters left: 4 (79 enodes) 1540196537.523 * * [misc]simplify: iters left: 3 (204 enodes) 1540196537.621 * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196537.621 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196537.621 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196537.621 * * [misc]simplify: iters left: 6 (20 enodes) 1540196537.624 * * [misc]simplify: iters left: 5 (27 enodes) 1540196537.627 * * [misc]simplify: iters left: 4 (38 enodes) 1540196537.634 * * [misc]simplify: iters left: 3 (53 enodes) 1540196537.640 * * [misc]simplify: iters left: 2 (70 enodes) 1540196537.650 * * [misc]simplify: iters left: 1 (87 enodes) 1540196537.664 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196537.664 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196537.664 * * * * [misc]progress: [ 550 / 6870 ] simplifiying candidate # 1540196537.664 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196537.664 * * [misc]simplify: iters left: 6 (21 enodes) 1540196537.671 * * [misc]simplify: iters left: 5 (34 enodes) 1540196537.680 * * [misc]simplify: iters left: 4 (68 enodes) 1540196537.691 * * [misc]simplify: iters left: 3 (147 enodes) 1540196537.732 * * [misc]simplify: iters left: 2 (299 enodes) 1540196537.899 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) 1540196537.899 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196537.900 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196537.900 * * [misc]simplify: iters left: 6 (20 enodes) 1540196537.902 * * [misc]simplify: iters left: 5 (27 enodes) 1540196537.906 * * [misc]simplify: iters left: 4 (38 enodes) 1540196537.911 * * [misc]simplify: iters left: 3 (53 enodes) 1540196537.920 * * [misc]simplify: iters left: 2 (70 enodes) 1540196537.939 * * [misc]simplify: iters left: 1 (87 enodes) 1540196537.963 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196537.963 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196537.963 * * * * [misc]progress: [ 551 / 6870 ] simplifiying candidate # 1540196537.964 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196537.964 * * [misc]simplify: iters left: 6 (20 enodes) 1540196537.971 * * [misc]simplify: iters left: 5 (38 enodes) 1540196537.984 * * [misc]simplify: iters left: 4 (88 enodes) 1540196538.028 * * [misc]simplify: iters left: 3 (297 enodes) 1540196538.234 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196538.235 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196538.235 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196538.235 * * [misc]simplify: iters left: 6 (19 enodes) 1540196538.240 * * [misc]simplify: iters left: 5 (28 enodes) 1540196538.248 * * [misc]simplify: iters left: 4 (46 enodes) 1540196538.257 * * [misc]simplify: iters left: 3 (91 enodes) 1540196538.274 * * [misc]simplify: iters left: 2 (156 enodes) 1540196538.332 * * [misc]simplify: iters left: 1 (239 enodes) 1540196538.447 * [exit]simplify: Simplified to (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196538.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196538.447 * * * * [misc]progress: [ 552 / 6870 ] simplifiying candidate # 1540196538.447 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196538.447 * * [misc]simplify: iters left: 6 (20 enodes) 1540196538.455 * * [misc]simplify: iters left: 5 (38 enodes) 1540196538.468 * * [misc]simplify: iters left: 4 (88 enodes) 1540196538.511 * * [misc]simplify: iters left: 3 (297 enodes) 1540196538.775 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196538.775 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196538.775 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196538.776 * * [misc]simplify: iters left: 6 (19 enodes) 1540196538.781 * * [misc]simplify: iters left: 5 (28 enodes) 1540196538.790 * * [misc]simplify: iters left: 4 (46 enodes) 1540196538.804 * * [misc]simplify: iters left: 3 (91 enodes) 1540196538.840 * * [misc]simplify: iters left: 2 (156 enodes) 1540196538.908 * * [misc]simplify: iters left: 1 (239 enodes) 1540196538.990 * [exit]simplify: Simplified to (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196538.990 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196538.990 * * * * [misc]progress: [ 553 / 6870 ] simplifiying candidate # 1540196538.991 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196538.991 * * [misc]simplify: iters left: 6 (22 enodes) 1540196538.994 * * [misc]simplify: iters left: 5 (43 enodes) 1540196539.001 * * [misc]simplify: iters left: 4 (113 enodes) 1540196539.040 * * [misc]simplify: iters left: 3 (435 enodes) 1540196539.452 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196539.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196539.452 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196539.452 * * [misc]simplify: iters left: 6 (20 enodes) 1540196539.458 * * [misc]simplify: iters left: 5 (29 enodes) 1540196539.463 * * [misc]simplify: iters left: 4 (47 enodes) 1540196539.470 * * [misc]simplify: iters left: 3 (92 enodes) 1540196539.487 * * [misc]simplify: iters left: 2 (157 enodes) 1540196539.534 * * [misc]simplify: iters left: 1 (236 enodes) 1540196539.624 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196539.624 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196539.624 * * * * [misc]progress: [ 554 / 6870 ] simplifiying candidate # 1540196539.625 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196539.625 * * [misc]simplify: iters left: 6 (21 enodes) 1540196539.631 * * [misc]simplify: iters left: 5 (38 enodes) 1540196539.644 * * [misc]simplify: iters left: 4 (88 enodes) 1540196539.665 * * [misc]simplify: iters left: 3 (299 enodes) 1540196539.944 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196539.944 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196539.944 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196539.945 * * [misc]simplify: iters left: 6 (20 enodes) 1540196539.950 * * [misc]simplify: iters left: 5 (29 enodes) 1540196539.958 * * [misc]simplify: iters left: 4 (47 enodes) 1540196539.973 * * [misc]simplify: iters left: 3 (92 enodes) 1540196540.003 * * [misc]simplify: iters left: 2 (157 enodes) 1540196540.067 * * [misc]simplify: iters left: 1 (236 enodes) 1540196540.172 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196540.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196540.172 * * * * [misc]progress: [ 555 / 6870 ] simplifiying candidate # 1540196540.172 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196540.173 * * [misc]simplify: iters left: 6 (20 enodes) 1540196540.176 * * [misc]simplify: iters left: 5 (39 enodes) 1540196540.182 * * [misc]simplify: iters left: 4 (95 enodes) 1540196540.210 * * [misc]simplify: iters left: 3 (285 enodes) 1540196540.516 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (pow (cbrt (sqrt (sqrt k))) 3) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196540.516 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (pow (cbrt (sqrt (sqrt k))) 3) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196540.516 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196540.517 * * [misc]simplify: iters left: 6 (19 enodes) 1540196540.521 * * [misc]simplify: iters left: 5 (28 enodes) 1540196540.525 * * [misc]simplify: iters left: 4 (46 enodes) 1540196540.532 * * [misc]simplify: iters left: 3 (91 enodes) 1540196540.556 * * [misc]simplify: iters left: 2 (156 enodes) 1540196540.594 * * [misc]simplify: iters left: 1 (239 enodes) 1540196540.673 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196540.673 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (pow (cbrt (sqrt (sqrt k))) 3) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196540.674 * * * * [misc]progress: [ 556 / 6870 ] simplifiying candidate # 1540196540.674 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196540.674 * * [misc]simplify: iters left: 6 (23 enodes) 1540196540.682 * * [misc]simplify: iters left: 5 (40 enodes) 1540196540.697 * * [misc]simplify: iters left: 4 (82 enodes) 1540196540.721 * * [misc]simplify: iters left: 3 (221 enodes) 1540196540.814 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196540.814 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196540.815 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196540.815 * * [misc]simplify: iters left: 6 (21 enodes) 1540196540.821 * * [misc]simplify: iters left: 5 (30 enodes) 1540196540.829 * * [misc]simplify: iters left: 4 (49 enodes) 1540196540.844 * * [misc]simplify: iters left: 3 (97 enodes) 1540196540.863 * * [misc]simplify: iters left: 2 (184 enodes) 1540196540.924 * * [misc]simplify: iters left: 1 (323 enodes) 1540196541.082 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196541.082 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196541.082 * * * * [misc]progress: [ 557 / 6870 ] simplifiying candidate # 1540196541.082 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196541.082 * * [misc]simplify: iters left: 6 (23 enodes) 1540196541.090 * * [misc]simplify: iters left: 5 (40 enodes) 1540196541.097 * * [misc]simplify: iters left: 4 (82 enodes) 1540196541.114 * * [misc]simplify: iters left: 3 (221 enodes) 1540196541.194 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196541.194 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196541.195 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196541.195 * * [misc]simplify: iters left: 6 (21 enodes) 1540196541.197 * * [misc]simplify: iters left: 5 (30 enodes) 1540196541.204 * * [misc]simplify: iters left: 4 (49 enodes) 1540196541.219 * * [misc]simplify: iters left: 3 (97 enodes) 1540196541.253 * * [misc]simplify: iters left: 2 (184 enodes) 1540196541.328 * * [misc]simplify: iters left: 1 (323 enodes) 1540196541.469 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196541.469 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196541.469 * * * * [misc]progress: [ 558 / 6870 ] simplifiying candidate # 1540196541.469 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196541.469 * * [misc]simplify: iters left: 6 (25 enodes) 1540196541.473 * * [misc]simplify: iters left: 5 (43 enodes) 1540196541.480 * * [misc]simplify: iters left: 4 (91 enodes) 1540196541.498 * * [misc]simplify: iters left: 3 (281 enodes) 1540196541.716 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) 1540196541.716 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196541.717 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196541.717 * * [misc]simplify: iters left: 6 (22 enodes) 1540196541.723 * * [misc]simplify: iters left: 5 (31 enodes) 1540196541.732 * * [misc]simplify: iters left: 4 (50 enodes) 1540196541.747 * * [misc]simplify: iters left: 3 (98 enodes) 1540196541.778 * * [misc]simplify: iters left: 2 (185 enodes) 1540196541.821 * * [misc]simplify: iters left: 1 (321 enodes) 1540196541.948 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196541.948 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196541.948 * * * * [misc]progress: [ 559 / 6870 ] simplifiying candidate # 1540196541.948 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196541.948 * * [misc]simplify: iters left: 6 (24 enodes) 1540196541.952 * * [misc]simplify: iters left: 5 (40 enodes) 1540196541.958 * * [misc]simplify: iters left: 4 (82 enodes) 1540196541.974 * * [misc]simplify: iters left: 3 (221 enodes) 1540196542.094 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) 1540196542.094 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196542.094 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196542.094 * * [misc]simplify: iters left: 6 (22 enodes) 1540196542.097 * * [misc]simplify: iters left: 5 (31 enodes) 1540196542.102 * * [misc]simplify: iters left: 4 (50 enodes) 1540196542.109 * * [misc]simplify: iters left: 3 (98 enodes) 1540196542.127 * * [misc]simplify: iters left: 2 (185 enodes) 1540196542.173 * * [misc]simplify: iters left: 1 (321 enodes) 1540196542.308 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196542.308 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196542.308 * * * * [misc]progress: [ 560 / 6870 ] simplifiying candidate # 1540196542.309 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196542.309 * * [misc]simplify: iters left: 6 (23 enodes) 1540196542.316 * * [misc]simplify: iters left: 5 (40 enodes) 1540196542.328 * * [misc]simplify: iters left: 4 (79 enodes) 1540196542.354 * * [misc]simplify: iters left: 3 (187 enodes) 1540196542.440 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196542.440 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196542.440 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196542.440 * * [misc]simplify: iters left: 6 (21 enodes) 1540196542.443 * * [misc]simplify: iters left: 5 (30 enodes) 1540196542.451 * * [misc]simplify: iters left: 4 (49 enodes) 1540196542.466 * * [misc]simplify: iters left: 3 (97 enodes) 1540196542.487 * * [misc]simplify: iters left: 2 (184 enodes) 1540196542.551 * * [misc]simplify: iters left: 1 (323 enodes) 1540196542.749 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196542.749 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196542.749 * * * * [misc]progress: [ 561 / 6870 ] simplifiying candidate # 1540196542.750 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196542.750 * * [misc]simplify: iters left: 6 (21 enodes) 1540196542.758 * * [misc]simplify: iters left: 5 (37 enodes) 1540196542.770 * * [misc]simplify: iters left: 4 (79 enodes) 1540196542.791 * * [misc]simplify: iters left: 3 (214 enodes) 1540196542.913 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196542.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196542.914 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196542.914 * * [misc]simplify: iters left: 6 (20 enodes) 1540196542.920 * * [misc]simplify: iters left: 5 (29 enodes) 1540196542.929 * * [misc]simplify: iters left: 4 (48 enodes) 1540196542.942 * * [misc]simplify: iters left: 3 (96 enodes) 1540196542.960 * * [misc]simplify: iters left: 2 (183 enodes) 1540196543.017 * * [misc]simplify: iters left: 1 (324 enodes) 1540196543.150 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196543.150 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196543.150 * * * * [misc]progress: [ 562 / 6870 ] simplifiying candidate # 1540196543.151 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196543.151 * * [misc]simplify: iters left: 6 (21 enodes) 1540196543.158 * * [misc]simplify: iters left: 5 (37 enodes) 1540196543.171 * * [misc]simplify: iters left: 4 (79 enodes) 1540196543.201 * * [misc]simplify: iters left: 3 (214 enodes) 1540196543.324 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196543.324 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196543.324 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196543.324 * * [misc]simplify: iters left: 6 (20 enodes) 1540196543.327 * * [misc]simplify: iters left: 5 (29 enodes) 1540196543.335 * * [misc]simplify: iters left: 4 (48 enodes) 1540196543.352 * * [misc]simplify: iters left: 3 (96 enodes) 1540196543.389 * * [misc]simplify: iters left: 2 (183 enodes) 1540196543.469 * * [misc]simplify: iters left: 1 (324 enodes) 1540196543.663 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196543.663 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196543.663 * * * * [misc]progress: [ 563 / 6870 ] simplifiying candidate # 1540196543.664 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196543.664 * * [misc]simplify: iters left: 6 (23 enodes) 1540196543.672 * * [misc]simplify: iters left: 5 (40 enodes) 1540196543.687 * * [misc]simplify: iters left: 4 (88 enodes) 1540196543.724 * * [misc]simplify: iters left: 3 (270 enodes) 1540196543.932 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196543.932 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196543.932 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196543.932 * * [misc]simplify: iters left: 6 (21 enodes) 1540196543.935 * * [misc]simplify: iters left: 5 (30 enodes) 1540196543.939 * * [misc]simplify: iters left: 4 (49 enodes) 1540196543.947 * * [misc]simplify: iters left: 3 (97 enodes) 1540196543.975 * * [misc]simplify: iters left: 2 (184 enodes) 1540196544.025 * * [misc]simplify: iters left: 1 (323 enodes) 1540196544.176 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196544.176 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196544.176 * * * * [misc]progress: [ 564 / 6870 ] simplifiying candidate # 1540196544.176 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196544.177 * * [misc]simplify: iters left: 6 (22 enodes) 1540196544.180 * * [misc]simplify: iters left: 5 (37 enodes) 1540196544.185 * * [misc]simplify: iters left: 4 (79 enodes) 1540196544.200 * * [misc]simplify: iters left: 3 (214 enodes) 1540196544.324 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196544.324 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196544.324 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196544.324 * * [misc]simplify: iters left: 6 (21 enodes) 1540196544.330 * * [misc]simplify: iters left: 5 (30 enodes) 1540196544.338 * * [misc]simplify: iters left: 4 (49 enodes) 1540196544.355 * * [misc]simplify: iters left: 3 (97 enodes) 1540196544.385 * * [misc]simplify: iters left: 2 (184 enodes) 1540196544.440 * * [misc]simplify: iters left: 1 (323 enodes) 1540196544.565 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196544.565 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196544.565 * * * * [misc]progress: [ 565 / 6870 ] simplifiying candidate # 1540196544.566 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196544.566 * * [misc]simplify: iters left: 6 (21 enodes) 1540196544.572 * * [misc]simplify: iters left: 5 (38 enodes) 1540196544.585 * * [misc]simplify: iters left: 4 (82 enodes) 1540196544.618 * * [misc]simplify: iters left: 3 (172 enodes) 1540196544.686 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196544.686 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196544.686 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196544.686 * * [misc]simplify: iters left: 6 (20 enodes) 1540196544.691 * * [misc]simplify: iters left: 5 (29 enodes) 1540196544.695 * * [misc]simplify: iters left: 4 (48 enodes) 1540196544.702 * * [misc]simplify: iters left: 3 (96 enodes) 1540196544.720 * * [misc]simplify: iters left: 2 (183 enodes) 1540196544.761 * * [misc]simplify: iters left: 1 (324 enodes) 1540196544.949 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196544.949 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196544.949 * * * * [misc]progress: [ 566 / 6870 ] simplifiying candidate # 1540196544.949 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196544.949 * * [misc]simplify: iters left: 6 (22 enodes) 1540196544.957 * * [misc]simplify: iters left: 5 (40 enodes) 1540196544.969 * * [misc]simplify: iters left: 4 (84 enodes) 1540196544.988 * * [misc]simplify: iters left: 3 (256 enodes) 1540196545.109 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196545.110 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196545.110 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196545.110 * * [misc]simplify: iters left: 6 (19 enodes) 1540196545.113 * * [misc]simplify: iters left: 5 (28 enodes) 1540196545.120 * * [misc]simplify: iters left: 4 (47 enodes) 1540196545.130 * * [misc]simplify: iters left: 3 (95 enodes) 1540196545.147 * * [misc]simplify: iters left: 2 (182 enodes) 1540196545.189 * * [misc]simplify: iters left: 1 (319 enodes) 1540196545.350 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196545.350 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196545.350 * * * * [misc]progress: [ 567 / 6870 ] simplifiying candidate # 1540196545.351 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196545.351 * * [misc]simplify: iters left: 6 (22 enodes) 1540196545.357 * * [misc]simplify: iters left: 5 (40 enodes) 1540196545.363 * * [misc]simplify: iters left: 4 (84 enodes) 1540196545.382 * * [misc]simplify: iters left: 3 (256 enodes) 1540196545.501 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196545.501 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196545.501 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196545.502 * * [misc]simplify: iters left: 6 (19 enodes) 1540196545.504 * * [misc]simplify: iters left: 5 (28 enodes) 1540196545.508 * * [misc]simplify: iters left: 4 (47 enodes) 1540196545.515 * * [misc]simplify: iters left: 3 (95 enodes) 1540196545.534 * * [misc]simplify: iters left: 2 (182 enodes) 1540196545.574 * * [misc]simplify: iters left: 1 (319 enodes) 1540196545.681 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196545.681 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196545.681 * * * * [misc]progress: [ 568 / 6870 ] simplifiying candidate # 1540196545.681 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196545.682 * * [misc]simplify: iters left: 6 (24 enodes) 1540196545.686 * * [misc]simplify: iters left: 5 (43 enodes) 1540196545.692 * * [misc]simplify: iters left: 4 (94 enodes) 1540196545.716 * * [misc]simplify: iters left: 3 (330 enodes) 1540196545.930 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196545.930 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196545.930 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196545.930 * * [misc]simplify: iters left: 6 (20 enodes) 1540196545.933 * * [misc]simplify: iters left: 5 (29 enodes) 1540196545.937 * * [misc]simplify: iters left: 4 (48 enodes) 1540196545.944 * * [misc]simplify: iters left: 3 (96 enodes) 1540196545.963 * * [misc]simplify: iters left: 2 (183 enodes) 1540196546.018 * * [misc]simplify: iters left: 1 (326 enodes) 1540196546.205 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196546.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196546.205 * * * * [misc]progress: [ 569 / 6870 ] simplifiying candidate # 1540196546.206 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196546.206 * * [misc]simplify: iters left: 6 (23 enodes) 1540196546.210 * * [misc]simplify: iters left: 5 (40 enodes) 1540196546.216 * * [misc]simplify: iters left: 4 (84 enodes) 1540196546.235 * * [misc]simplify: iters left: 3 (254 enodes) 1540196546.413 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) 1540196546.413 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196546.414 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196546.414 * * [misc]simplify: iters left: 6 (20 enodes) 1540196546.416 * * [misc]simplify: iters left: 5 (29 enodes) 1540196546.420 * * [misc]simplify: iters left: 4 (48 enodes) 1540196546.428 * * [misc]simplify: iters left: 3 (96 enodes) 1540196546.463 * * [misc]simplify: iters left: 2 (183 enodes) 1540196546.544 * * [misc]simplify: iters left: 1 (326 enodes) 1540196546.720 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196546.720 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196546.720 * * * * [misc]progress: [ 570 / 6870 ] simplifiying candidate # 1540196546.720 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) 1)) 1540196546.721 * * [misc]simplify: iters left: 6 (21 enodes) 1540196546.725 * * [misc]simplify: iters left: 5 (38 enodes) 1540196546.730 * * [misc]simplify: iters left: 4 (67 enodes) 1540196546.742 * * [misc]simplify: iters left: 3 (161 enodes) 1540196546.822 * * [misc]simplify: iters left: 2 (480 enodes) 1540196547.562 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540196547.562 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196547.562 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196547.562 * * [misc]simplify: iters left: 6 (19 enodes) 1540196547.568 * * [misc]simplify: iters left: 5 (28 enodes) 1540196547.571 * * [misc]simplify: iters left: 4 (47 enodes) 1540196547.579 * * [misc]simplify: iters left: 3 (95 enodes) 1540196547.596 * * [misc]simplify: iters left: 2 (182 enodes) 1540196547.637 * * [misc]simplify: iters left: 1 (319 enodes) 1540196547.743 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196547.743 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196547.743 * * * * [misc]progress: [ 571 / 6870 ] simplifiying candidate # 1540196547.743 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196547.744 * * [misc]simplify: iters left: 6 (21 enodes) 1540196547.747 * * [misc]simplify: iters left: 5 (37 enodes) 1540196547.755 * * [misc]simplify: iters left: 4 (79 enodes) 1540196547.770 * * [misc]simplify: iters left: 3 (214 enodes) 1540196547.875 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196547.875 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196547.875 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196547.875 * * [misc]simplify: iters left: 6 (20 enodes) 1540196547.880 * * [misc]simplify: iters left: 5 (29 enodes) 1540196547.887 * * [misc]simplify: iters left: 4 (48 enodes) 1540196547.901 * * [misc]simplify: iters left: 3 (96 enodes) 1540196547.933 * * [misc]simplify: iters left: 2 (183 enodes) 1540196547.992 * * [misc]simplify: iters left: 1 (324 enodes) 1540196548.136 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196548.136 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196548.136 * * * * [misc]progress: [ 572 / 6870 ] simplifiying candidate # 1540196548.136 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196548.136 * * [misc]simplify: iters left: 6 (21 enodes) 1540196548.140 * * [misc]simplify: iters left: 5 (37 enodes) 1540196548.146 * * [misc]simplify: iters left: 4 (79 enodes) 1540196548.169 * * [misc]simplify: iters left: 3 (214 enodes) 1540196548.281 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196548.281 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196548.281 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196548.282 * * [misc]simplify: iters left: 6 (20 enodes) 1540196548.287 * * [misc]simplify: iters left: 5 (29 enodes) 1540196548.295 * * [misc]simplify: iters left: 4 (48 enodes) 1540196548.309 * * [misc]simplify: iters left: 3 (96 enodes) 1540196548.342 * * [misc]simplify: iters left: 2 (183 enodes) 1540196548.417 * * [misc]simplify: iters left: 1 (324 enodes) 1540196548.610 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196548.611 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196548.611 * * * * [misc]progress: [ 573 / 6870 ] simplifiying candidate # 1540196548.611 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196548.611 * * [misc]simplify: iters left: 6 (23 enodes) 1540196548.618 * * [misc]simplify: iters left: 5 (40 enodes) 1540196548.631 * * [misc]simplify: iters left: 4 (88 enodes) 1540196548.667 * * [misc]simplify: iters left: 3 (270 enodes) 1540196548.865 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196548.865 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196548.865 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196548.865 * * [misc]simplify: iters left: 6 (21 enodes) 1540196548.868 * * [misc]simplify: iters left: 5 (30 enodes) 1540196548.872 * * [misc]simplify: iters left: 4 (49 enodes) 1540196548.880 * * [misc]simplify: iters left: 3 (97 enodes) 1540196548.910 * * [misc]simplify: iters left: 2 (184 enodes) 1540196548.963 * * [misc]simplify: iters left: 1 (323 enodes) 1540196549.109 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196549.110 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196549.110 * * * * [misc]progress: [ 574 / 6870 ] simplifiying candidate # 1540196549.110 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196549.110 * * [misc]simplify: iters left: 6 (22 enodes) 1540196549.113 * * [misc]simplify: iters left: 5 (37 enodes) 1540196549.120 * * [misc]simplify: iters left: 4 (79 enodes) 1540196549.149 * * [misc]simplify: iters left: 3 (214 enodes) 1540196549.290 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196549.290 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196549.290 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196549.290 * * [misc]simplify: iters left: 6 (21 enodes) 1540196549.293 * * [misc]simplify: iters left: 5 (30 enodes) 1540196549.300 * * [misc]simplify: iters left: 4 (49 enodes) 1540196549.313 * * [misc]simplify: iters left: 3 (97 enodes) 1540196549.331 * * [misc]simplify: iters left: 2 (184 enodes) 1540196549.380 * * [misc]simplify: iters left: 1 (323 enodes) 1540196549.559 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196549.559 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196549.559 * * * * [misc]progress: [ 575 / 6870 ] simplifiying candidate # 1540196549.560 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196549.560 * * [misc]simplify: iters left: 6 (21 enodes) 1540196549.567 * * [misc]simplify: iters left: 5 (38 enodes) 1540196549.579 * * [misc]simplify: iters left: 4 (82 enodes) 1540196549.596 * * [misc]simplify: iters left: 3 (172 enodes) 1540196549.661 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196549.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196549.662 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196549.662 * * [misc]simplify: iters left: 6 (20 enodes) 1540196549.665 * * [misc]simplify: iters left: 5 (29 enodes) 1540196549.669 * * [misc]simplify: iters left: 4 (48 enodes) 1540196549.680 * * [misc]simplify: iters left: 3 (96 enodes) 1540196549.716 * * [misc]simplify: iters left: 2 (183 enodes) 1540196549.782 * * [misc]simplify: iters left: 1 (324 enodes) 1540196549.954 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196549.954 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196549.955 * * * * [misc]progress: [ 576 / 6870 ] simplifiying candidate # 1540196549.955 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196549.955 * * [misc]simplify: iters left: 6 (21 enodes) 1540196549.959 * * [misc]simplify: iters left: 5 (39 enodes) 1540196549.965 * * [misc]simplify: iters left: 4 (79 enodes) 1540196549.981 * * [misc]simplify: iters left: 3 (211 enodes) 1540196550.096 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196550.096 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196550.096 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196550.096 * * [misc]simplify: iters left: 6 (19 enodes) 1540196550.099 * * [misc]simplify: iters left: 5 (28 enodes) 1540196550.106 * * [misc]simplify: iters left: 4 (47 enodes) 1540196550.121 * * [misc]simplify: iters left: 3 (95 enodes) 1540196550.139 * * [misc]simplify: iters left: 2 (182 enodes) 1540196550.211 * * [misc]simplify: iters left: 1 (319 enodes) 1540196550.421 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196550.421 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196550.421 * * * * [misc]progress: [ 577 / 6870 ] simplifiying candidate # 1540196550.421 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196550.422 * * [misc]simplify: iters left: 6 (21 enodes) 1540196550.430 * * [misc]simplify: iters left: 5 (39 enodes) 1540196550.443 * * [misc]simplify: iters left: 4 (79 enodes) 1540196550.471 * * [misc]simplify: iters left: 3 (211 enodes) 1540196550.561 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196550.561 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196550.561 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196550.561 * * [misc]simplify: iters left: 6 (19 enodes) 1540196550.564 * * [misc]simplify: iters left: 5 (28 enodes) 1540196550.568 * * [misc]simplify: iters left: 4 (47 enodes) 1540196550.575 * * [misc]simplify: iters left: 3 (95 enodes) 1540196550.592 * * [misc]simplify: iters left: 2 (182 enodes) 1540196550.641 * * [misc]simplify: iters left: 1 (319 enodes) 1540196550.778 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196550.778 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196550.778 * * * * [misc]progress: [ 578 / 6870 ] simplifiying candidate # 1540196550.778 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196550.779 * * [misc]simplify: iters left: 6 (23 enodes) 1540196550.782 * * [misc]simplify: iters left: 5 (42 enodes) 1540196550.790 * * [misc]simplify: iters left: 4 (88 enodes) 1540196550.812 * * [misc]simplify: iters left: 3 (284 enodes) 1540196550.998 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196550.998 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196550.998 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196550.998 * * [misc]simplify: iters left: 6 (20 enodes) 1540196551.001 * * [misc]simplify: iters left: 5 (29 enodes) 1540196551.005 * * [misc]simplify: iters left: 4 (48 enodes) 1540196551.014 * * [misc]simplify: iters left: 3 (96 enodes) 1540196551.046 * * [misc]simplify: iters left: 2 (183 enodes) 1540196551.114 * * [misc]simplify: iters left: 1 (326 enodes) 1540196551.298 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196551.299 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196551.299 * * * * [misc]progress: [ 579 / 6870 ] simplifiying candidate # 1540196551.299 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196551.299 * * [misc]simplify: iters left: 6 (22 enodes) 1540196551.306 * * [misc]simplify: iters left: 5 (39 enodes) 1540196551.317 * * [misc]simplify: iters left: 4 (79 enodes) 1540196551.348 * * [misc]simplify: iters left: 3 (209 enodes) 1540196551.490 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) 1540196551.490 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196551.490 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196551.490 * * [misc]simplify: iters left: 6 (20 enodes) 1540196551.493 * * [misc]simplify: iters left: 5 (29 enodes) 1540196551.497 * * [misc]simplify: iters left: 4 (48 enodes) 1540196551.505 * * [misc]simplify: iters left: 3 (96 enodes) 1540196551.523 * * [misc]simplify: iters left: 2 (183 enodes) 1540196551.590 * * [misc]simplify: iters left: 1 (326 enodes) 1540196551.752 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196551.752 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196551.752 * * * * [misc]progress: [ 580 / 6870 ] simplifiying candidate # 1540196551.752 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 1)) 1540196551.752 * * [misc]simplify: iters left: 6 (20 enodes) 1540196551.755 * * [misc]simplify: iters left: 5 (35 enodes) 1540196551.760 * * [misc]simplify: iters left: 4 (67 enodes) 1540196551.773 * * [misc]simplify: iters left: 3 (166 enodes) 1540196551.851 * * [misc]simplify: iters left: 2 (410 enodes) 1540196552.138 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196552.138 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196552.138 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196552.138 * * [misc]simplify: iters left: 6 (19 enodes) 1540196552.141 * * [misc]simplify: iters left: 5 (28 enodes) 1540196552.145 * * [misc]simplify: iters left: 4 (47 enodes) 1540196552.152 * * [misc]simplify: iters left: 3 (95 enodes) 1540196552.174 * * [misc]simplify: iters left: 2 (182 enodes) 1540196552.216 * * [misc]simplify: iters left: 1 (319 enodes) 1540196552.364 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196552.364 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196552.364 * * * * [misc]progress: [ 581 / 6870 ] simplifiying candidate # 1540196552.366 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1) 1540196552.366 * * [misc]simplify: iters left: 6 (19 enodes) 1540196552.372 * * [misc]simplify: iters left: 5 (34 enodes) 1540196552.383 * * [misc]simplify: iters left: 4 (71 enodes) 1540196552.410 * * [misc]simplify: iters left: 3 (185 enodes) 1540196552.503 * * [misc]simplify: iters left: 2 (436 enodes) 1540196552.784 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196552.784 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196552.784 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196552.785 * * [misc]simplify: iters left: 6 (19 enodes) 1540196552.790 * * [misc]simplify: iters left: 5 (28 enodes) 1540196552.798 * * [misc]simplify: iters left: 4 (47 enodes) 1540196552.812 * * [misc]simplify: iters left: 3 (95 enodes) 1540196552.829 * * [misc]simplify: iters left: 2 (182 enodes) 1540196552.897 * * [misc]simplify: iters left: 1 (319 enodes) 1540196553.054 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196553.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196553.054 * * * * [misc]progress: [ 582 / 6870 ] simplifiying candidate # 1540196553.054 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) 1540196553.054 * * [misc]simplify: iters left: 6 (18 enodes) 1540196553.057 * * [misc]simplify: iters left: 5 (31 enodes) 1540196553.062 * * [misc]simplify: iters left: 4 (65 enodes) 1540196553.074 * * [misc]simplify: iters left: 3 (148 enodes) 1540196553.133 * * [misc]simplify: iters left: 2 (298 enodes) 1540196553.261 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196553.261 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196553.262 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196553.262 * * [misc]simplify: iters left: 6 (20 enodes) 1540196553.268 * * [misc]simplify: iters left: 5 (31 enodes) 1540196553.276 * * [misc]simplify: iters left: 4 (48 enodes) 1540196553.286 * * [misc]simplify: iters left: 3 (100 enodes) 1540196553.305 * * [misc]simplify: iters left: 2 (208 enodes) 1540196553.372 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540196553.372 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))))) 1540196553.372 * * * * [misc]progress: [ 583 / 6870 ] simplifiying candidate # 1540196553.372 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196553.373 * * [misc]simplify: iters left: 6 (20 enodes) 1540196553.377 * * [misc]simplify: iters left: 5 (36 enodes) 1540196553.383 * * [misc]simplify: iters left: 4 (78 enodes) 1540196553.399 * * [misc]simplify: iters left: 3 (213 enodes) 1540196553.478 * [exit]simplify: Simplified to (* (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196553.478 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196553.479 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196553.479 * * [misc]simplify: iters left: 6 (18 enodes) 1540196553.481 * * [misc]simplify: iters left: 5 (25 enodes) 1540196553.485 * * [misc]simplify: iters left: 4 (36 enodes) 1540196553.491 * * [misc]simplify: iters left: 3 (51 enodes) 1540196553.498 * * [misc]simplify: iters left: 2 (68 enodes) 1540196553.511 * * [misc]simplify: iters left: 1 (85 enodes) 1540196553.535 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540196553.535 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (pow 2 (/ k 2)))))) 1540196553.535 * * * * [misc]progress: [ 584 / 6870 ] simplifiying candidate # 1540196553.535 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196553.535 * * [misc]simplify: iters left: 6 (21 enodes) 1540196553.540 * * [misc]simplify: iters left: 5 (32 enodes) 1540196553.545 * * [misc]simplify: iters left: 4 (59 enodes) 1540196553.554 * * [misc]simplify: iters left: 3 (128 enodes) 1540196553.582 * * [misc]simplify: iters left: 2 (265 enodes) 1540196553.680 * * [misc]simplify: iters left: 1 (453 enodes) 1540196553.922 * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1540196553.922 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196553.922 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196553.922 * * [misc]simplify: iters left: 6 (20 enodes) 1540196553.926 * * [misc]simplify: iters left: 5 (27 enodes) 1540196553.930 * * [misc]simplify: iters left: 4 (38 enodes) 1540196553.935 * * [misc]simplify: iters left: 3 (53 enodes) 1540196553.941 * * [misc]simplify: iters left: 2 (70 enodes) 1540196553.951 * * [misc]simplify: iters left: 1 (87 enodes) 1540196553.962 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196553.962 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196553.963 * * * * [misc]progress: [ 585 / 6870 ] simplifiying candidate # 1540196553.963 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196553.963 * * [misc]simplify: iters left: 6 (20 enodes) 1540196553.966 * * [misc]simplify: iters left: 5 (29 enodes) 1540196553.973 * * [misc]simplify: iters left: 4 (48 enodes) 1540196553.987 * * [misc]simplify: iters left: 3 (91 enodes) 1540196554.011 * * [misc]simplify: iters left: 2 (149 enodes) 1540196554.039 * * [misc]simplify: iters left: 1 (195 enodes) 1540196554.088 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196554.088 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196554.089 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196554.089 * * [misc]simplify: iters left: 6 (20 enodes) 1540196554.094 * * [misc]simplify: iters left: 5 (27 enodes) 1540196554.106 * * [misc]simplify: iters left: 4 (38 enodes) 1540196554.116 * * [misc]simplify: iters left: 3 (53 enodes) 1540196554.130 * * [misc]simplify: iters left: 2 (70 enodes) 1540196554.148 * * [misc]simplify: iters left: 1 (87 enodes) 1540196554.171 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196554.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196554.172 * * * * [misc]progress: [ 586 / 6870 ] simplifiying candidate # 1540196554.172 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196554.172 * * [misc]simplify: iters left: 6 (19 enodes) 1540196554.179 * * [misc]simplify: iters left: 5 (33 enodes) 1540196554.189 * * [misc]simplify: iters left: 4 (68 enodes) 1540196554.217 * * [misc]simplify: iters left: 3 (203 enodes) 1540196554.315 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196554.315 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196554.315 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196554.315 * * [misc]simplify: iters left: 6 (19 enodes) 1540196554.321 * * [misc]simplify: iters left: 5 (28 enodes) 1540196554.329 * * [misc]simplify: iters left: 4 (46 enodes) 1540196554.343 * * [misc]simplify: iters left: 3 (91 enodes) 1540196554.365 * * [misc]simplify: iters left: 2 (156 enodes) 1540196554.415 * * [misc]simplify: iters left: 1 (239 enodes) 1540196554.503 * [exit]simplify: Simplified to (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196554.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196554.503 * * * * [misc]progress: [ 587 / 6870 ] simplifiying candidate # 1540196554.504 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196554.504 * * [misc]simplify: iters left: 6 (19 enodes) 1540196554.511 * * [misc]simplify: iters left: 5 (33 enodes) 1540196554.522 * * [misc]simplify: iters left: 4 (68 enodes) 1540196554.550 * * [misc]simplify: iters left: 3 (203 enodes) 1540196554.705 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196554.705 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196554.705 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196554.706 * * [misc]simplify: iters left: 6 (19 enodes) 1540196554.711 * * [misc]simplify: iters left: 5 (28 enodes) 1540196554.719 * * [misc]simplify: iters left: 4 (46 enodes) 1540196554.734 * * [misc]simplify: iters left: 3 (91 enodes) 1540196554.769 * * [misc]simplify: iters left: 2 (156 enodes) 1540196554.806 * * [misc]simplify: iters left: 1 (239 enodes) 1540196554.889 * [exit]simplify: Simplified to (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196554.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196554.889 * * * * [misc]progress: [ 588 / 6870 ] simplifiying candidate # 1540196554.889 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196554.890 * * [misc]simplify: iters left: 6 (21 enodes) 1540196554.893 * * [misc]simplify: iters left: 5 (38 enodes) 1540196554.899 * * [misc]simplify: iters left: 4 (93 enodes) 1540196554.938 * * [misc]simplify: iters left: 3 (308 enodes) 1540196555.183 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196555.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196555.183 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196555.183 * * [misc]simplify: iters left: 6 (20 enodes) 1540196555.186 * * [misc]simplify: iters left: 5 (29 enodes) 1540196555.190 * * [misc]simplify: iters left: 4 (47 enodes) 1540196555.204 * * [misc]simplify: iters left: 3 (92 enodes) 1540196555.242 * * [misc]simplify: iters left: 2 (157 enodes) 1540196555.305 * * [misc]simplify: iters left: 1 (236 enodes) 1540196555.381 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196555.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196555.381 * * * * [misc]progress: [ 589 / 6870 ] simplifiying candidate # 1540196555.381 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196555.381 * * [misc]simplify: iters left: 6 (20 enodes) 1540196555.384 * * [misc]simplify: iters left: 5 (33 enodes) 1540196555.389 * * [misc]simplify: iters left: 4 (68 enodes) 1540196555.407 * * [misc]simplify: iters left: 3 (203 enodes) 1540196555.916 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (pow (cbrt (sqrt (sqrt k))) 3) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196555.917 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (pow (cbrt (sqrt (sqrt k))) 3) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196555.917 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196555.917 * * [misc]simplify: iters left: 6 (20 enodes) 1540196555.921 * * [misc]simplify: iters left: 5 (29 enodes) 1540196555.925 * * [misc]simplify: iters left: 4 (47 enodes) 1540196555.933 * * [misc]simplify: iters left: 3 (92 enodes) 1540196555.965 * * [misc]simplify: iters left: 2 (157 enodes) 1540196556.010 * * [misc]simplify: iters left: 1 (236 enodes) 1540196556.095 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196556.095 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (pow (cbrt (sqrt (sqrt k))) 3) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196556.095 * * * * [misc]progress: [ 590 / 6870 ] simplifiying candidate # 1540196556.095 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196556.095 * * [misc]simplify: iters left: 6 (19 enodes) 1540196556.098 * * [misc]simplify: iters left: 5 (34 enodes) 1540196556.104 * * [misc]simplify: iters left: 4 (73 enodes) 1540196556.135 * * [misc]simplify: iters left: 3 (194 enodes) 1540196556.300 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196556.300 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196556.301 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196556.301 * * [misc]simplify: iters left: 6 (19 enodes) 1540196556.303 * * [misc]simplify: iters left: 5 (28 enodes) 1540196556.307 * * [misc]simplify: iters left: 4 (46 enodes) 1540196556.316 * * [misc]simplify: iters left: 3 (91 enodes) 1540196556.332 * * [misc]simplify: iters left: 2 (156 enodes) 1540196556.378 * * [misc]simplify: iters left: 1 (239 enodes) 1540196556.494 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196556.494 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196556.495 * * * * [misc]progress: [ 591 / 6870 ] simplifiying candidate # 1540196556.495 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196556.496 * * [misc]simplify: iters left: 6 (22 enodes) 1540196556.503 * * [misc]simplify: iters left: 5 (35 enodes) 1540196556.515 * * [misc]simplify: iters left: 4 (62 enodes) 1540196556.536 * * [misc]simplify: iters left: 3 (143 enodes) 1540196556.579 * * [misc]simplify: iters left: 2 (361 enodes) 1540196556.805 * [exit]simplify: Simplified to (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) 1540196556.805 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196556.805 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196556.805 * * [misc]simplify: iters left: 6 (21 enodes) 1540196556.811 * * [misc]simplify: iters left: 5 (30 enodes) 1540196556.818 * * [misc]simplify: iters left: 4 (49 enodes) 1540196556.825 * * [misc]simplify: iters left: 3 (97 enodes) 1540196556.842 * * [misc]simplify: iters left: 2 (184 enodes) 1540196556.885 * * [misc]simplify: iters left: 1 (323 enodes) 1540196557.095 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196557.095 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196557.095 * * * * [misc]progress: [ 592 / 6870 ] simplifiying candidate # 1540196557.095 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196557.095 * * [misc]simplify: iters left: 6 (22 enodes) 1540196557.103 * * [misc]simplify: iters left: 5 (35 enodes) 1540196557.114 * * [misc]simplify: iters left: 4 (62 enodes) 1540196557.134 * * [misc]simplify: iters left: 3 (143 enodes) 1540196557.203 * * [misc]simplify: iters left: 2 (361 enodes) 1540196557.443 * [exit]simplify: Simplified to (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) 1540196557.443 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196557.443 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196557.443 * * [misc]simplify: iters left: 6 (21 enodes) 1540196557.448 * * [misc]simplify: iters left: 5 (30 enodes) 1540196557.453 * * [misc]simplify: iters left: 4 (49 enodes) 1540196557.461 * * [misc]simplify: iters left: 3 (97 enodes) 1540196557.482 * * [misc]simplify: iters left: 2 (184 enodes) 1540196557.539 * * [misc]simplify: iters left: 1 (323 enodes) 1540196557.727 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196557.727 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196557.727 * * * * [misc]progress: [ 593 / 6870 ] simplifiying candidate # 1540196557.728 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196557.728 * * [misc]simplify: iters left: 6 (24 enodes) 1540196557.736 * * [misc]simplify: iters left: 5 (38 enodes) 1540196557.747 * * [misc]simplify: iters left: 4 (71 enodes) 1540196557.774 * * [misc]simplify: iters left: 3 (188 enodes) 1540196557.916 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196557.916 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196557.917 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196557.917 * * [misc]simplify: iters left: 6 (22 enodes) 1540196557.923 * * [misc]simplify: iters left: 5 (31 enodes) 1540196557.934 * * [misc]simplify: iters left: 4 (50 enodes) 1540196557.941 * * [misc]simplify: iters left: 3 (98 enodes) 1540196557.959 * * [misc]simplify: iters left: 2 (185 enodes) 1540196558.036 * * [misc]simplify: iters left: 1 (321 enodes) 1540196558.227 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196558.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196558.228 * * * * [misc]progress: [ 594 / 6870 ] simplifiying candidate # 1540196558.228 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196558.228 * * [misc]simplify: iters left: 6 (23 enodes) 1540196558.234 * * [misc]simplify: iters left: 5 (35 enodes) 1540196558.243 * * [misc]simplify: iters left: 4 (62 enodes) 1540196558.258 * * [misc]simplify: iters left: 3 (143 enodes) 1540196558.301 * * [misc]simplify: iters left: 2 (359 enodes) 1540196558.556 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196558.556 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196558.557 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196558.557 * * [misc]simplify: iters left: 6 (22 enodes) 1540196558.563 * * [misc]simplify: iters left: 5 (31 enodes) 1540196558.572 * * [misc]simplify: iters left: 4 (50 enodes) 1540196558.587 * * [misc]simplify: iters left: 3 (98 enodes) 1540196558.625 * * [misc]simplify: iters left: 2 (185 enodes) 1540196558.672 * * [misc]simplify: iters left: 1 (321 enodes) 1540196558.855 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196558.855 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196558.855 * * * * [misc]progress: [ 595 / 6870 ] simplifiying candidate # 1540196558.856 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196558.856 * * [misc]simplify: iters left: 6 (22 enodes) 1540196558.859 * * [misc]simplify: iters left: 5 (35 enodes) 1540196558.864 * * [misc]simplify: iters left: 4 (59 enodes) 1540196558.884 * * [misc]simplify: iters left: 3 (122 enodes) 1540196558.943 * * [misc]simplify: iters left: 2 (384 enodes) 1540196559.265 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196559.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196559.265 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196559.265 * * [misc]simplify: iters left: 6 (21 enodes) 1540196559.268 * * [misc]simplify: iters left: 5 (30 enodes) 1540196559.272 * * [misc]simplify: iters left: 4 (49 enodes) 1540196559.282 * * [misc]simplify: iters left: 3 (97 enodes) 1540196559.306 * * [misc]simplify: iters left: 2 (184 enodes) 1540196559.348 * * [misc]simplify: iters left: 1 (323 enodes) 1540196559.478 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196559.478 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196559.479 * * * * [misc]progress: [ 596 / 6870 ] simplifiying candidate # 1540196559.479 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196559.479 * * [misc]simplify: iters left: 6 (20 enodes) 1540196559.483 * * [misc]simplify: iters left: 5 (32 enodes) 1540196559.488 * * [misc]simplify: iters left: 4 (59 enodes) 1540196559.500 * * [misc]simplify: iters left: 3 (140 enodes) 1540196559.547 * * [misc]simplify: iters left: 2 (356 enodes) 1540196559.807 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196559.807 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196559.808 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196559.808 * * [misc]simplify: iters left: 6 (20 enodes) 1540196559.814 * * [misc]simplify: iters left: 5 (29 enodes) 1540196559.822 * * [misc]simplify: iters left: 4 (48 enodes) 1540196559.836 * * [misc]simplify: iters left: 3 (96 enodes) 1540196559.871 * * [misc]simplify: iters left: 2 (183 enodes) 1540196559.935 * * [misc]simplify: iters left: 1 (324 enodes) 1540196560.131 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196560.131 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196560.132 * * * * [misc]progress: [ 597 / 6870 ] simplifiying candidate # 1540196560.132 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196560.132 * * [misc]simplify: iters left: 6 (20 enodes) 1540196560.135 * * [misc]simplify: iters left: 5 (32 enodes) 1540196560.141 * * [misc]simplify: iters left: 4 (59 enodes) 1540196560.151 * * [misc]simplify: iters left: 3 (140 enodes) 1540196560.191 * * [misc]simplify: iters left: 2 (356 enodes) 1540196560.428 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196560.428 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196560.428 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196560.428 * * [misc]simplify: iters left: 6 (20 enodes) 1540196560.431 * * [misc]simplify: iters left: 5 (29 enodes) 1540196560.435 * * [misc]simplify: iters left: 4 (48 enodes) 1540196560.442 * * [misc]simplify: iters left: 3 (96 enodes) 1540196560.462 * * [misc]simplify: iters left: 2 (183 enodes) 1540196560.513 * * [misc]simplify: iters left: 1 (324 enodes) 1540196560.663 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196560.663 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196560.663 * * * * [misc]progress: [ 598 / 6870 ] simplifiying candidate # 1540196560.663 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196560.664 * * [misc]simplify: iters left: 6 (22 enodes) 1540196560.667 * * [misc]simplify: iters left: 5 (35 enodes) 1540196560.672 * * [misc]simplify: iters left: 4 (68 enodes) 1540196560.684 * * [misc]simplify: iters left: 3 (185 enodes) 1540196560.783 * [exit]simplify: Simplified to (* (/ (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196560.783 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196560.783 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196560.784 * * [misc]simplify: iters left: 6 (21 enodes) 1540196560.788 * * [misc]simplify: iters left: 5 (30 enodes) 1540196560.792 * * [misc]simplify: iters left: 4 (49 enodes) 1540196560.800 * * [misc]simplify: iters left: 3 (97 enodes) 1540196560.827 * * [misc]simplify: iters left: 2 (184 enodes) 1540196560.898 * * [misc]simplify: iters left: 1 (323 enodes) 1540196561.093 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196561.093 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196561.093 * * * * [misc]progress: [ 599 / 6870 ] simplifiying candidate # 1540196561.093 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196561.094 * * [misc]simplify: iters left: 6 (21 enodes) 1540196561.100 * * [misc]simplify: iters left: 5 (32 enodes) 1540196561.111 * * [misc]simplify: iters left: 4 (59 enodes) 1540196561.130 * * [misc]simplify: iters left: 3 (140 enodes) 1540196561.198 * * [misc]simplify: iters left: 2 (361 enodes) 1540196561.410 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196561.410 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196561.410 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196561.410 * * [misc]simplify: iters left: 6 (21 enodes) 1540196561.413 * * [misc]simplify: iters left: 5 (30 enodes) 1540196561.417 * * [misc]simplify: iters left: 4 (49 enodes) 1540196561.425 * * [misc]simplify: iters left: 3 (97 enodes) 1540196561.443 * * [misc]simplify: iters left: 2 (184 enodes) 1540196561.485 * * [misc]simplify: iters left: 1 (323 enodes) 1540196561.605 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196561.605 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196561.605 * * * * [misc]progress: [ 600 / 6870 ] simplifiying candidate # 1540196561.605 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196561.605 * * [misc]simplify: iters left: 6 (20 enodes) 1540196561.609 * * [misc]simplify: iters left: 5 (33 enodes) 1540196561.619 * * [misc]simplify: iters left: 4 (62 enodes) 1540196561.638 * * [misc]simplify: iters left: 3 (111 enodes) 1540196561.662 * * [misc]simplify: iters left: 2 (298 enodes) 1540196561.905 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196561.905 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196561.905 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196561.905 * * [misc]simplify: iters left: 6 (20 enodes) 1540196561.911 * * [misc]simplify: iters left: 5 (29 enodes) 1540196561.918 * * [misc]simplify: iters left: 4 (48 enodes) 1540196561.932 * * [misc]simplify: iters left: 3 (96 enodes) 1540196561.966 * * [misc]simplify: iters left: 2 (183 enodes) 1540196562.029 * * [misc]simplify: iters left: 1 (324 enodes) 1540196562.178 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196562.179 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196562.179 * * * * [misc]progress: [ 601 / 6870 ] simplifiying candidate # 1540196562.179 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196562.179 * * [misc]simplify: iters left: 6 (21 enodes) 1540196562.183 * * [misc]simplify: iters left: 5 (35 enodes) 1540196562.189 * * [misc]simplify: iters left: 4 (64 enodes) 1540196562.202 * * [misc]simplify: iters left: 3 (175 enodes) 1540196562.290 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196562.290 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196562.291 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196562.291 * * [misc]simplify: iters left: 6 (19 enodes) 1540196562.296 * * [misc]simplify: iters left: 5 (28 enodes) 1540196562.304 * * [misc]simplify: iters left: 4 (47 enodes) 1540196562.319 * * [misc]simplify: iters left: 3 (95 enodes) 1540196562.354 * * [misc]simplify: iters left: 2 (182 enodes) 1540196562.432 * * [misc]simplify: iters left: 1 (319 enodes) 1540196562.573 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196562.573 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196562.574 * * * * [misc]progress: [ 602 / 6870 ] simplifiying candidate # 1540196562.574 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196562.574 * * [misc]simplify: iters left: 6 (21 enodes) 1540196562.578 * * [misc]simplify: iters left: 5 (35 enodes) 1540196562.583 * * [misc]simplify: iters left: 4 (64 enodes) 1540196562.596 * * [misc]simplify: iters left: 3 (175 enodes) 1540196562.708 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196562.708 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196562.708 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196562.708 * * [misc]simplify: iters left: 6 (19 enodes) 1540196562.713 * * [misc]simplify: iters left: 5 (28 enodes) 1540196562.721 * * [misc]simplify: iters left: 4 (47 enodes) 1540196562.736 * * [misc]simplify: iters left: 3 (95 enodes) 1540196562.765 * * [misc]simplify: iters left: 2 (182 enodes) 1540196562.815 * * [misc]simplify: iters left: 1 (319 enodes) 1540196563.007 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196563.007 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196563.007 * * * * [misc]progress: [ 603 / 6870 ] simplifiying candidate # 1540196563.007 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196563.008 * * [misc]simplify: iters left: 6 (23 enodes) 1540196563.016 * * [misc]simplify: iters left: 5 (38 enodes) 1540196563.027 * * [misc]simplify: iters left: 4 (74 enodes) 1540196563.060 * * [misc]simplify: iters left: 3 (230 enodes) 1540196563.189 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196563.189 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196563.190 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196563.190 * * [misc]simplify: iters left: 6 (20 enodes) 1540196563.193 * * [misc]simplify: iters left: 5 (29 enodes) 1540196563.197 * * [misc]simplify: iters left: 4 (48 enodes) 1540196563.204 * * [misc]simplify: iters left: 3 (96 enodes) 1540196563.227 * * [misc]simplify: iters left: 2 (183 enodes) 1540196563.295 * * [misc]simplify: iters left: 1 (326 enodes) 1540196563.489 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196563.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196563.489 * * * * [misc]progress: [ 604 / 6870 ] simplifiying candidate # 1540196563.489 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196563.490 * * [misc]simplify: iters left: 6 (22 enodes) 1540196563.497 * * [misc]simplify: iters left: 5 (35 enodes) 1540196563.506 * * [misc]simplify: iters left: 4 (64 enodes) 1540196563.531 * * [misc]simplify: iters left: 3 (175 enodes) 1540196563.630 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196563.630 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196563.631 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196563.631 * * [misc]simplify: iters left: 6 (20 enodes) 1540196563.634 * * [misc]simplify: iters left: 5 (29 enodes) 1540196563.638 * * [misc]simplify: iters left: 4 (48 enodes) 1540196563.647 * * [misc]simplify: iters left: 3 (96 enodes) 1540196563.674 * * [misc]simplify: iters left: 2 (183 enodes) 1540196563.755 * * [misc]simplify: iters left: 1 (326 enodes) 1540196563.915 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196563.915 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196563.915 * * * * [misc]progress: [ 605 / 6870 ] simplifiying candidate # 1540196563.916 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540196563.916 * * [misc]simplify: iters left: 6 (20 enodes) 1540196563.923 * * [misc]simplify: iters left: 5 (33 enodes) 1540196563.931 * * [misc]simplify: iters left: 4 (50 enodes) 1540196563.946 * * [misc]simplify: iters left: 3 (91 enodes) 1540196563.963 * * [misc]simplify: iters left: 2 (204 enodes) 1540196564.105 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540196564.105 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196564.105 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196564.105 * * [misc]simplify: iters left: 6 (19 enodes) 1540196564.108 * * [misc]simplify: iters left: 5 (28 enodes) 1540196564.112 * * [misc]simplify: iters left: 4 (47 enodes) 1540196564.119 * * [misc]simplify: iters left: 3 (95 enodes) 1540196564.147 * * [misc]simplify: iters left: 2 (182 enodes) 1540196564.201 * * [misc]simplify: iters left: 1 (319 enodes) 1540196564.355 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196564.355 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196564.355 * * * * [misc]progress: [ 606 / 6870 ] simplifiying candidate # 1540196564.355 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196564.356 * * [misc]simplify: iters left: 6 (20 enodes) 1540196564.365 * * [misc]simplify: iters left: 5 (32 enodes) 1540196564.376 * * [misc]simplify: iters left: 4 (59 enodes) 1540196564.396 * * [misc]simplify: iters left: 3 (140 enodes) 1540196564.440 * * [misc]simplify: iters left: 2 (356 enodes) 1540196564.688 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196564.688 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196564.688 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196564.688 * * [misc]simplify: iters left: 6 (20 enodes) 1540196564.694 * * [misc]simplify: iters left: 5 (29 enodes) 1540196564.703 * * [misc]simplify: iters left: 4 (48 enodes) 1540196564.717 * * [misc]simplify: iters left: 3 (96 enodes) 1540196564.752 * * [misc]simplify: iters left: 2 (183 enodes) 1540196564.833 * * [misc]simplify: iters left: 1 (324 enodes) 1540196565.011 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196565.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196565.011 * * * * [misc]progress: [ 607 / 6870 ] simplifiying candidate # 1540196565.011 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196565.011 * * [misc]simplify: iters left: 6 (20 enodes) 1540196565.015 * * [misc]simplify: iters left: 5 (32 enodes) 1540196565.020 * * [misc]simplify: iters left: 4 (59 enodes) 1540196565.031 * * [misc]simplify: iters left: 3 (140 enodes) 1540196565.075 * * [misc]simplify: iters left: 2 (356 enodes) 1540196565.281 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196565.281 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196565.281 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196565.282 * * [misc]simplify: iters left: 6 (20 enodes) 1540196565.284 * * [misc]simplify: iters left: 5 (29 enodes) 1540196565.288 * * [misc]simplify: iters left: 4 (48 enodes) 1540196565.295 * * [misc]simplify: iters left: 3 (96 enodes) 1540196565.315 * * [misc]simplify: iters left: 2 (183 enodes) 1540196565.369 * * [misc]simplify: iters left: 1 (324 enodes) 1540196565.512 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196565.512 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196565.513 * * * * [misc]progress: [ 608 / 6870 ] simplifiying candidate # 1540196565.513 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196565.513 * * [misc]simplify: iters left: 6 (22 enodes) 1540196565.516 * * [misc]simplify: iters left: 5 (35 enodes) 1540196565.521 * * [misc]simplify: iters left: 4 (68 enodes) 1540196565.535 * * [misc]simplify: iters left: 3 (185 enodes) 1540196565.643 * [exit]simplify: Simplified to (* (/ (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196565.643 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196565.643 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196565.643 * * [misc]simplify: iters left: 6 (21 enodes) 1540196565.646 * * [misc]simplify: iters left: 5 (30 enodes) 1540196565.653 * * [misc]simplify: iters left: 4 (49 enodes) 1540196565.667 * * [misc]simplify: iters left: 3 (97 enodes) 1540196565.689 * * [misc]simplify: iters left: 2 (184 enodes) 1540196565.732 * * [misc]simplify: iters left: 1 (323 enodes) 1540196565.868 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196565.868 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196565.869 * * * * [misc]progress: [ 609 / 6870 ] simplifiying candidate # 1540196565.869 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196565.869 * * [misc]simplify: iters left: 6 (21 enodes) 1540196565.872 * * [misc]simplify: iters left: 5 (32 enodes) 1540196565.877 * * [misc]simplify: iters left: 4 (59 enodes) 1540196565.897 * * [misc]simplify: iters left: 3 (140 enodes) 1540196565.947 * * [misc]simplify: iters left: 2 (361 enodes) 1540196566.138 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196566.138 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196566.138 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196566.138 * * [misc]simplify: iters left: 6 (21 enodes) 1540196566.143 * * [misc]simplify: iters left: 5 (30 enodes) 1540196566.151 * * [misc]simplify: iters left: 4 (49 enodes) 1540196566.165 * * [misc]simplify: iters left: 3 (97 enodes) 1540196566.197 * * [misc]simplify: iters left: 2 (184 enodes) 1540196566.261 * * [misc]simplify: iters left: 1 (323 enodes) 1540196566.418 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196566.418 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196566.418 * * * * [misc]progress: [ 610 / 6870 ] simplifiying candidate # 1540196566.419 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196566.419 * * [misc]simplify: iters left: 6 (20 enodes) 1540196566.425 * * [misc]simplify: iters left: 5 (33 enodes) 1540196566.436 * * [misc]simplify: iters left: 4 (62 enodes) 1540196566.457 * * [misc]simplify: iters left: 3 (111 enodes) 1540196566.503 * * [misc]simplify: iters left: 2 (298 enodes) 1540196566.764 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196566.764 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196566.765 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196566.765 * * [misc]simplify: iters left: 6 (20 enodes) 1540196566.767 * * [misc]simplify: iters left: 5 (29 enodes) 1540196566.771 * * [misc]simplify: iters left: 4 (48 enodes) 1540196566.778 * * [misc]simplify: iters left: 3 (96 enodes) 1540196566.796 * * [misc]simplify: iters left: 2 (183 enodes) 1540196566.839 * * [misc]simplify: iters left: 1 (324 enodes) 1540196567.016 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196567.016 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196567.016 * * * * [misc]progress: [ 611 / 6870 ] simplifiying candidate # 1540196567.016 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196567.017 * * [misc]simplify: iters left: 6 (20 enodes) 1540196567.024 * * [misc]simplify: iters left: 5 (34 enodes) 1540196567.034 * * [misc]simplify: iters left: 4 (59 enodes) 1540196567.055 * * [misc]simplify: iters left: 3 (141 enodes) 1540196567.101 * * [misc]simplify: iters left: 2 (417 enodes) 1540196567.460 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196567.460 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196567.460 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196567.461 * * [misc]simplify: iters left: 6 (19 enodes) 1540196567.463 * * [misc]simplify: iters left: 5 (28 enodes) 1540196567.467 * * [misc]simplify: iters left: 4 (47 enodes) 1540196567.474 * * [misc]simplify: iters left: 3 (95 enodes) 1540196567.504 * * [misc]simplify: iters left: 2 (182 enodes) 1540196567.584 * * [misc]simplify: iters left: 1 (319 enodes) 1540196567.722 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196567.723 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196567.723 * * * * [misc]progress: [ 612 / 6870 ] simplifiying candidate # 1540196567.723 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196567.723 * * [misc]simplify: iters left: 6 (20 enodes) 1540196567.730 * * [misc]simplify: iters left: 5 (34 enodes) 1540196567.741 * * [misc]simplify: iters left: 4 (59 enodes) 1540196567.762 * * [misc]simplify: iters left: 3 (141 enodes) 1540196567.804 * * [misc]simplify: iters left: 2 (417 enodes) 1540196568.193 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196568.193 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196568.194 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196568.194 * * [misc]simplify: iters left: 6 (19 enodes) 1540196568.197 * * [misc]simplify: iters left: 5 (28 enodes) 1540196568.200 * * [misc]simplify: iters left: 4 (47 enodes) 1540196568.208 * * [misc]simplify: iters left: 3 (95 enodes) 1540196568.243 * * [misc]simplify: iters left: 2 (182 enodes) 1540196568.325 * * [misc]simplify: iters left: 1 (319 enodes) 1540196568.478 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196568.478 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196568.478 * * * * [misc]progress: [ 613 / 6870 ] simplifiying candidate # 1540196568.478 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196568.479 * * [misc]simplify: iters left: 6 (22 enodes) 1540196568.482 * * [misc]simplify: iters left: 5 (37 enodes) 1540196568.491 * * [misc]simplify: iters left: 4 (68 enodes) 1540196568.517 * * [misc]simplify: iters left: 3 (192 enodes) 1540196568.629 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196568.629 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196568.629 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196568.629 * * [misc]simplify: iters left: 6 (20 enodes) 1540196568.632 * * [misc]simplify: iters left: 5 (29 enodes) 1540196568.636 * * [misc]simplify: iters left: 4 (48 enodes) 1540196568.643 * * [misc]simplify: iters left: 3 (96 enodes) 1540196568.663 * * [misc]simplify: iters left: 2 (183 enodes) 1540196568.742 * * [misc]simplify: iters left: 1 (326 enodes) 1540196568.945 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196568.946 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196568.946 * * * * [misc]progress: [ 614 / 6870 ] simplifiying candidate # 1540196568.946 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196568.946 * * [misc]simplify: iters left: 6 (21 enodes) 1540196568.949 * * [misc]simplify: iters left: 5 (34 enodes) 1540196568.954 * * [misc]simplify: iters left: 4 (59 enodes) 1540196568.965 * * [misc]simplify: iters left: 3 (141 enodes) 1540196569.027 * * [misc]simplify: iters left: 2 (417 enodes) 1540196569.370 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196569.371 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196569.372 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196569.372 * * [misc]simplify: iters left: 6 (20 enodes) 1540196569.377 * * [misc]simplify: iters left: 5 (29 enodes) 1540196569.386 * * [misc]simplify: iters left: 4 (48 enodes) 1540196569.400 * * [misc]simplify: iters left: 3 (96 enodes) 1540196569.435 * * [misc]simplify: iters left: 2 (183 enodes) 1540196569.517 * * [misc]simplify: iters left: 1 (326 enodes) 1540196569.683 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196569.683 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196569.683 * * * * [misc]progress: [ 615 / 6870 ] simplifiying candidate # 1540196569.683 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540196569.683 * * [misc]simplify: iters left: 6 (19 enodes) 1540196569.689 * * [misc]simplify: iters left: 5 (30 enodes) 1540196569.698 * * [misc]simplify: iters left: 4 (47 enodes) 1540196569.713 * * [misc]simplify: iters left: 3 (83 enodes) 1540196569.739 * * [misc]simplify: iters left: 2 (160 enodes) 1540196569.803 * * [misc]simplify: iters left: 1 (272 enodes) 1540196569.920 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196569.920 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196569.920 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196569.920 * * [misc]simplify: iters left: 6 (19 enodes) 1540196569.926 * * [misc]simplify: iters left: 5 (28 enodes) 1540196569.933 * * [misc]simplify: iters left: 4 (47 enodes) 1540196569.948 * * [misc]simplify: iters left: 3 (95 enodes) 1540196569.975 * * [misc]simplify: iters left: 2 (182 enodes) 1540196570.031 * * [misc]simplify: iters left: 1 (319 enodes) 1540196570.200 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196570.201 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196570.201 * * * * [misc]progress: [ 616 / 6870 ] simplifiying candidate # 1540196570.201 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540196570.201 * * [misc]simplify: iters left: 6 (18 enodes) 1540196570.208 * * [misc]simplify: iters left: 5 (29 enodes) 1540196570.217 * * [misc]simplify: iters left: 4 (49 enodes) 1540196570.230 * * [misc]simplify: iters left: 3 (95 enodes) 1540196570.247 * * [misc]simplify: iters left: 2 (175 enodes) 1540196570.312 * * [misc]simplify: iters left: 1 (313 enodes) 1540196570.405 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196570.405 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196570.406 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196570.406 * * [misc]simplify: iters left: 6 (19 enodes) 1540196570.411 * * [misc]simplify: iters left: 5 (28 enodes) 1540196570.419 * * [misc]simplify: iters left: 4 (47 enodes) 1540196570.432 * * [misc]simplify: iters left: 3 (95 enodes) 1540196570.467 * * [misc]simplify: iters left: 2 (182 enodes) 1540196570.518 * * [misc]simplify: iters left: 1 (319 enodes) 1540196570.664 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196570.664 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196570.664 * * * * [misc]progress: [ 617 / 6870 ] simplifiying candidate # 1540196570.664 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540196570.664 * * [misc]simplify: iters left: 6 (17 enodes) 1540196570.669 * * [misc]simplify: iters left: 5 (26 enodes) 1540196570.677 * * [misc]simplify: iters left: 4 (45 enodes) 1540196570.689 * * [misc]simplify: iters left: 3 (88 enodes) 1540196570.718 * * [misc]simplify: iters left: 2 (144 enodes) 1540196570.753 * * [misc]simplify: iters left: 1 (190 enodes) 1540196570.816 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1540196570.816 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196570.816 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196570.816 * * [misc]simplify: iters left: 6 (20 enodes) 1540196570.822 * * [misc]simplify: iters left: 5 (31 enodes) 1540196570.827 * * [misc]simplify: iters left: 4 (48 enodes) 1540196570.835 * * [misc]simplify: iters left: 3 (100 enodes) 1540196570.864 * * [misc]simplify: iters left: 2 (208 enodes) 1540196570.964 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540196570.964 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))))) 1540196570.964 * * * * [misc]progress: [ 618 / 6870 ] simplifiying candidate # 1540196570.965 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196570.965 * * [misc]simplify: iters left: 6 (19 enodes) 1540196570.972 * * [misc]simplify: iters left: 5 (31 enodes) 1540196570.977 * * [misc]simplify: iters left: 4 (58 enodes) 1540196570.987 * * [misc]simplify: iters left: 3 (139 enodes) 1540196571.022 * * [misc]simplify: iters left: 2 (359 enodes) 1540196571.229 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1540196571.229 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196571.229 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196571.229 * * [misc]simplify: iters left: 6 (18 enodes) 1540196571.234 * * [misc]simplify: iters left: 5 (25 enodes) 1540196571.241 * * [misc]simplify: iters left: 4 (36 enodes) 1540196571.250 * * [misc]simplify: iters left: 3 (51 enodes) 1540196571.259 * * [misc]simplify: iters left: 2 (68 enodes) 1540196571.268 * * [misc]simplify: iters left: 1 (85 enodes) 1540196571.282 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540196571.282 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (pow 2 (/ k 2)))))) 1540196571.282 * * * * [misc]progress: [ 619 / 6870 ] simplifiying candidate # 1540196571.282 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196571.282 * * [misc]simplify: iters left: 6 (19 enodes) 1540196571.286 * * [misc]simplify: iters left: 5 (32 enodes) 1540196571.296 * * [misc]simplify: iters left: 4 (59 enodes) 1540196571.313 * * [misc]simplify: iters left: 3 (97 enodes) 1540196571.348 * * [misc]simplify: iters left: 2 (272 enodes) 1540196571.537 * [exit]simplify: Simplified to (/ (/ (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196571.537 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196571.537 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196571.537 * * [misc]simplify: iters left: 6 (19 enodes) 1540196571.542 * * [misc]simplify: iters left: 5 (26 enodes) 1540196571.549 * * [misc]simplify: iters left: 4 (37 enodes) 1540196571.559 * * [misc]simplify: iters left: 3 (52 enodes) 1540196571.572 * * [misc]simplify: iters left: 2 (69 enodes) 1540196571.590 * * [misc]simplify: iters left: 1 (86 enodes) 1540196571.606 * [exit]simplify: Simplified to (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196571.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196571.606 * * * * [misc]progress: [ 620 / 6870 ] simplifiying candidate # 1540196571.606 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196571.606 * * [misc]simplify: iters left: 6 (18 enodes) 1540196571.609 * * [misc]simplify: iters left: 5 (29 enodes) 1540196571.615 * * [misc]simplify: iters left: 4 (50 enodes) 1540196571.621 * * [misc]simplify: iters left: 3 (65 enodes) 1540196571.637 * * [misc]simplify: iters left: 2 (148 enodes) 1540196571.695 * * [misc]simplify: iters left: 1 (429 enodes) 1540196571.887 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196571.887 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196571.888 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196571.888 * * [misc]simplify: iters left: 6 (19 enodes) 1540196571.891 * * [misc]simplify: iters left: 5 (26 enodes) 1540196571.895 * * [misc]simplify: iters left: 4 (37 enodes) 1540196571.900 * * [misc]simplify: iters left: 3 (52 enodes) 1540196571.914 * * [misc]simplify: iters left: 2 (69 enodes) 1540196571.932 * * [misc]simplify: iters left: 1 (86 enodes) 1540196571.947 * [exit]simplify: Simplified to (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196571.947 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196571.948 * * * * [misc]progress: [ 621 / 6870 ] simplifiying candidate # 1540196571.948 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196571.948 * * [misc]simplify: iters left: 6 (15 enodes) 1540196571.951 * * [misc]simplify: iters left: 5 (29 enodes) 1540196571.957 * * [misc]simplify: iters left: 4 (68 enodes) 1540196571.971 * * [misc]simplify: iters left: 3 (134 enodes) 1540196572.024 * * [misc]simplify: iters left: 2 (423 enodes) 1540196572.492 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540196572.492 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196572.493 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196572.493 * * [misc]simplify: iters left: 6 (18 enodes) 1540196572.495 * * [misc]simplify: iters left: 5 (27 enodes) 1540196572.499 * * [misc]simplify: iters left: 4 (45 enodes) 1540196572.507 * * [misc]simplify: iters left: 3 (90 enodes) 1540196572.528 * * [misc]simplify: iters left: 2 (155 enodes) 1540196572.593 * * [misc]simplify: iters left: 1 (238 enodes) 1540196572.708 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (pow PI (/ (- k) 2)))) 1540196572.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (pow PI (/ (- k) 2)))))) 1540196572.708 * * * * [misc]progress: [ 622 / 6870 ] simplifiying candidate # 1540196572.709 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196572.709 * * [misc]simplify: iters left: 6 (15 enodes) 1540196572.715 * * [misc]simplify: iters left: 5 (29 enodes) 1540196572.726 * * [misc]simplify: iters left: 4 (68 enodes) 1540196572.752 * * [misc]simplify: iters left: 3 (134 enodes) 1540196572.819 * * [misc]simplify: iters left: 2 (423 enodes) 1540196573.296 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540196573.296 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196573.297 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196573.297 * * [misc]simplify: iters left: 6 (18 enodes) 1540196573.299 * * [misc]simplify: iters left: 5 (27 enodes) 1540196573.303 * * [misc]simplify: iters left: 4 (45 enodes) 1540196573.310 * * [misc]simplify: iters left: 3 (90 enodes) 1540196573.340 * * [misc]simplify: iters left: 2 (155 enodes) 1540196573.387 * * [misc]simplify: iters left: 1 (238 enodes) 1540196573.463 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (pow PI (/ (- k) 2)))) 1540196573.463 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (pow PI (/ (- k) 2)))))) 1540196573.463 * * * * [misc]progress: [ 623 / 6870 ] simplifiying candidate # 1540196573.463 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196573.464 * * [misc]simplify: iters left: 6 (19 enodes) 1540196573.470 * * [misc]simplify: iters left: 5 (38 enodes) 1540196573.481 * * [misc]simplify: iters left: 4 (100 enodes) 1540196573.501 * * [misc]simplify: iters left: 3 (234 enodes) 1540196573.648 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196573.648 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196573.648 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196573.648 * * [misc]simplify: iters left: 6 (19 enodes) 1540196573.651 * * [misc]simplify: iters left: 5 (28 enodes) 1540196573.655 * * [misc]simplify: iters left: 4 (46 enodes) 1540196573.662 * * [misc]simplify: iters left: 3 (91 enodes) 1540196573.679 * * [misc]simplify: iters left: 2 (156 enodes) 1540196573.733 * * [misc]simplify: iters left: 1 (238 enodes) 1540196573.832 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196573.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196573.832 * * * * [misc]progress: [ 624 / 6870 ] simplifiying candidate # 1540196573.832 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196573.832 * * [misc]simplify: iters left: 6 (18 enodes) 1540196573.835 * * [misc]simplify: iters left: 5 (33 enodes) 1540196573.841 * * [misc]simplify: iters left: 4 (75 enodes) 1540196573.855 * * [misc]simplify: iters left: 3 (142 enodes) 1540196573.918 * * [misc]simplify: iters left: 2 (435 enodes) 1540196574.460 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k))))) 1540196574.461 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196574.462 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196574.462 * * [misc]simplify: iters left: 6 (19 enodes) 1540196574.464 * * [misc]simplify: iters left: 5 (28 enodes) 1540196574.468 * * [misc]simplify: iters left: 4 (46 enodes) 1540196574.475 * * [misc]simplify: iters left: 3 (91 enodes) 1540196574.491 * * [misc]simplify: iters left: 2 (156 enodes) 1540196574.527 * * [misc]simplify: iters left: 1 (238 enodes) 1540196574.591 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196574.591 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196574.591 * * * * [misc]progress: [ 625 / 6870 ] simplifiying candidate # 1540196574.592 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196574.592 * * [misc]simplify: iters left: 6 (12 enodes) 1540196574.594 * * [misc]simplify: iters left: 5 (23 enodes) 1540196574.598 * * [misc]simplify: iters left: 4 (44 enodes) 1540196574.604 * * [misc]simplify: iters left: 3 (77 enodes) 1540196574.620 * * [misc]simplify: iters left: 2 (186 enodes) 1540196574.703 * * [misc]simplify: iters left: 1 (372 enodes) 1540196574.793 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1540196574.793 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196574.794 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196574.794 * * [misc]simplify: iters left: 6 (18 enodes) 1540196574.796 * * [misc]simplify: iters left: 5 (27 enodes) 1540196574.800 * * [misc]simplify: iters left: 4 (45 enodes) 1540196574.807 * * [misc]simplify: iters left: 3 (90 enodes) 1540196574.824 * * [misc]simplify: iters left: 2 (155 enodes) 1540196574.881 * * [misc]simplify: iters left: 1 (238 enodes) 1540196574.984 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2)))) 1540196574.985 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2)))))) 1540196574.985 * * * * [misc]progress: [ 626 / 6870 ] simplifiying candidate # 1540196574.985 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196574.985 * * [misc]simplify: iters left: 6 (18 enodes) 1540196574.989 * * [misc]simplify: iters left: 5 (31 enodes) 1540196574.994 * * [misc]simplify: iters left: 4 (55 enodes) 1540196575.003 * * [misc]simplify: iters left: 3 (94 enodes) 1540196575.024 * * [misc]simplify: iters left: 2 (252 enodes) 1540196575.186 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196575.186 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196575.187 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196575.187 * * [misc]simplify: iters left: 6 (20 enodes) 1540196575.190 * * [misc]simplify: iters left: 5 (29 enodes) 1540196575.196 * * [misc]simplify: iters left: 4 (48 enodes) 1540196575.203 * * [misc]simplify: iters left: 3 (96 enodes) 1540196575.221 * * [misc]simplify: iters left: 2 (183 enodes) 1540196575.270 * * [misc]simplify: iters left: 1 (323 enodes) 1540196575.484 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196575.484 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196575.484 * * * * [misc]progress: [ 627 / 6870 ] simplifiying candidate # 1540196575.484 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196575.485 * * [misc]simplify: iters left: 6 (18 enodes) 1540196575.491 * * [misc]simplify: iters left: 5 (31 enodes) 1540196575.502 * * [misc]simplify: iters left: 4 (55 enodes) 1540196575.519 * * [misc]simplify: iters left: 3 (94 enodes) 1540196575.556 * * [misc]simplify: iters left: 2 (252 enodes) 1540196575.755 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196575.755 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196575.756 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196575.756 * * [misc]simplify: iters left: 6 (20 enodes) 1540196575.761 * * [misc]simplify: iters left: 5 (29 enodes) 1540196575.770 * * [misc]simplify: iters left: 4 (48 enodes) 1540196575.784 * * [misc]simplify: iters left: 3 (96 enodes) 1540196575.810 * * [misc]simplify: iters left: 2 (183 enodes) 1540196575.870 * * [misc]simplify: iters left: 1 (323 enodes) 1540196576.061 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196576.061 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196576.062 * * * * [misc]progress: [ 628 / 6870 ] simplifiying candidate # 1540196576.062 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196576.062 * * [misc]simplify: iters left: 6 (22 enodes) 1540196576.065 * * [misc]simplify: iters left: 5 (38 enodes) 1540196576.071 * * [misc]simplify: iters left: 4 (71 enodes) 1540196576.082 * * [misc]simplify: iters left: 3 (134 enodes) 1540196576.111 * * [misc]simplify: iters left: 2 (426 enodes) 1540196576.569 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196576.569 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196576.570 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196576.570 * * [misc]simplify: iters left: 6 (21 enodes) 1540196576.572 * * [misc]simplify: iters left: 5 (30 enodes) 1540196576.577 * * [misc]simplify: iters left: 4 (49 enodes) 1540196576.587 * * [misc]simplify: iters left: 3 (97 enodes) 1540196576.604 * * [misc]simplify: iters left: 2 (184 enodes) 1540196576.644 * * [misc]simplify: iters left: 1 (321 enodes) 1540196576.804 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196576.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196576.804 * * * * [misc]progress: [ 629 / 6870 ] simplifiying candidate # 1540196576.805 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196576.805 * * [misc]simplify: iters left: 6 (21 enodes) 1540196576.810 * * [misc]simplify: iters left: 5 (35 enodes) 1540196576.820 * * [misc]simplify: iters left: 4 (62 enodes) 1540196576.838 * * [misc]simplify: iters left: 3 (101 enodes) 1540196576.871 * * [misc]simplify: iters left: 2 (297 enodes) 1540196577.097 * [exit]simplify: Simplified to (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196577.097 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196577.097 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196577.097 * * [misc]simplify: iters left: 6 (21 enodes) 1540196577.100 * * [misc]simplify: iters left: 5 (30 enodes) 1540196577.105 * * [misc]simplify: iters left: 4 (49 enodes) 1540196577.120 * * [misc]simplify: iters left: 3 (97 enodes) 1540196577.156 * * [misc]simplify: iters left: 2 (184 enodes) 1540196577.238 * * [misc]simplify: iters left: 1 (321 enodes) 1540196577.371 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196577.371 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196577.371 * * * * [misc]progress: [ 630 / 6870 ] simplifiying candidate # 1540196577.371 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196577.372 * * [misc]simplify: iters left: 6 (16 enodes) 1540196577.374 * * [misc]simplify: iters left: 5 (27 enodes) 1540196577.378 * * [misc]simplify: iters left: 4 (49 enodes) 1540196577.385 * * [misc]simplify: iters left: 3 (74 enodes) 1540196577.406 * * [misc]simplify: iters left: 2 (155 enodes) 1540196577.492 * * [misc]simplify: iters left: 1 (255 enodes) 1540196577.613 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196577.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196577.613 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196577.613 * * [misc]simplify: iters left: 6 (20 enodes) 1540196577.616 * * [misc]simplify: iters left: 5 (29 enodes) 1540196577.620 * * [misc]simplify: iters left: 4 (48 enodes) 1540196577.627 * * [misc]simplify: iters left: 3 (96 enodes) 1540196577.645 * * [misc]simplify: iters left: 2 (183 enodes) 1540196577.692 * * [misc]simplify: iters left: 1 (323 enodes) 1540196577.828 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196577.828 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196577.828 * * * * [misc]progress: [ 631 / 6870 ] simplifiying candidate # 1540196577.829 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196577.829 * * [misc]simplify: iters left: 6 (16 enodes) 1540196577.832 * * [misc]simplify: iters left: 5 (28 enodes) 1540196577.837 * * [misc]simplify: iters left: 4 (52 enodes) 1540196577.846 * * [misc]simplify: iters left: 3 (129 enodes) 1540196577.914 * * [misc]simplify: iters left: 2 (495 enodes) 1540196578.634 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196578.634 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196578.634 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196578.634 * * [misc]simplify: iters left: 6 (19 enodes) 1540196578.640 * * [misc]simplify: iters left: 5 (28 enodes) 1540196578.647 * * [misc]simplify: iters left: 4 (47 enodes) 1540196578.662 * * [misc]simplify: iters left: 3 (95 enodes) 1540196578.696 * * [misc]simplify: iters left: 2 (182 enodes) 1540196578.747 * * [misc]simplify: iters left: 1 (317 enodes) 1540196578.905 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196578.905 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196578.905 * * * * [misc]progress: [ 632 / 6870 ] simplifiying candidate # 1540196578.906 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196578.906 * * [misc]simplify: iters left: 6 (16 enodes) 1540196578.911 * * [misc]simplify: iters left: 5 (28 enodes) 1540196578.916 * * [misc]simplify: iters left: 4 (52 enodes) 1540196578.935 * * [misc]simplify: iters left: 3 (129 enodes) 1540196578.977 * * [misc]simplify: iters left: 2 (495 enodes) 1540196579.676 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196579.676 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196579.676 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196579.676 * * [misc]simplify: iters left: 6 (19 enodes) 1540196579.681 * * [misc]simplify: iters left: 5 (28 enodes) 1540196579.686 * * [misc]simplify: iters left: 4 (47 enodes) 1540196579.694 * * [misc]simplify: iters left: 3 (95 enodes) 1540196579.714 * * [misc]simplify: iters left: 2 (182 enodes) 1540196579.757 * * [misc]simplify: iters left: 1 (317 enodes) 1540196579.916 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196579.916 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196579.916 * * * * [misc]progress: [ 633 / 6870 ] simplifiying candidate # 1540196579.916 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196579.917 * * [misc]simplify: iters left: 6 (20 enodes) 1540196579.919 * * [misc]simplify: iters left: 5 (35 enodes) 1540196579.925 * * [misc]simplify: iters left: 4 (68 enodes) 1540196579.936 * * [misc]simplify: iters left: 3 (174 enodes) 1540196580.000 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196580.000 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196580.001 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196580.001 * * [misc]simplify: iters left: 6 (20 enodes) 1540196580.003 * * [misc]simplify: iters left: 5 (29 enodes) 1540196580.009 * * [misc]simplify: iters left: 4 (48 enodes) 1540196580.016 * * [misc]simplify: iters left: 3 (96 enodes) 1540196580.034 * * [misc]simplify: iters left: 2 (183 enodes) 1540196580.074 * * [misc]simplify: iters left: 1 (321 enodes) 1540196580.202 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196580.202 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196580.202 * * * * [misc]progress: [ 634 / 6870 ] simplifiying candidate # 1540196580.202 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196580.202 * * [misc]simplify: iters left: 6 (19 enodes) 1540196580.207 * * [misc]simplify: iters left: 5 (32 enodes) 1540196580.216 * * [misc]simplify: iters left: 4 (59 enodes) 1540196580.233 * * [misc]simplify: iters left: 3 (96 enodes) 1540196580.264 * * [misc]simplify: iters left: 2 (261 enodes) 1540196580.430 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196580.430 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196580.430 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196580.430 * * [misc]simplify: iters left: 6 (20 enodes) 1540196580.433 * * [misc]simplify: iters left: 5 (29 enodes) 1540196580.437 * * [misc]simplify: iters left: 4 (48 enodes) 1540196580.444 * * [misc]simplify: iters left: 3 (96 enodes) 1540196580.461 * * [misc]simplify: iters left: 2 (183 enodes) 1540196580.506 * * [misc]simplify: iters left: 1 (321 enodes) 1540196580.655 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196580.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196580.655 * * * * [misc]progress: [ 635 / 6870 ] simplifiying candidate # 1540196580.655 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196580.655 * * [misc]simplify: iters left: 6 (14 enodes) 1540196580.658 * * [misc]simplify: iters left: 5 (25 enodes) 1540196580.662 * * [misc]simplify: iters left: 4 (50 enodes) 1540196580.669 * * [misc]simplify: iters left: 3 (68 enodes) 1540196580.677 * * [misc]simplify: iters left: 2 (138 enodes) 1540196580.745 * * [misc]simplify: iters left: 1 (238 enodes) 1540196580.811 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196580.811 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196580.811 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196580.812 * * [misc]simplify: iters left: 6 (19 enodes) 1540196580.814 * * [misc]simplify: iters left: 5 (28 enodes) 1540196580.818 * * [misc]simplify: iters left: 4 (47 enodes) 1540196580.831 * * [misc]simplify: iters left: 3 (95 enodes) 1540196580.858 * * [misc]simplify: iters left: 2 (182 enodes) 1540196580.900 * * [misc]simplify: iters left: 1 (317 enodes) 1540196581.067 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196581.067 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196581.067 * * * * [misc]progress: [ 636 / 6870 ] simplifiying candidate # 1540196581.067 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540196581.068 * * [misc]simplify: iters left: 6 (16 enodes) 1540196581.074 * * [misc]simplify: iters left: 5 (28 enodes) 1540196581.083 * * [misc]simplify: iters left: 4 (52 enodes) 1540196581.101 * * [misc]simplify: iters left: 3 (99 enodes) 1540196581.137 * * [misc]simplify: iters left: 2 (292 enodes) 1540196581.383 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196581.383 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196581.383 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196581.383 * * [misc]simplify: iters left: 6 (18 enodes) 1540196581.386 * * [misc]simplify: iters left: 5 (27 enodes) 1540196581.393 * * [misc]simplify: iters left: 4 (46 enodes) 1540196581.407 * * [misc]simplify: iters left: 3 (94 enodes) 1540196581.425 * * [misc]simplify: iters left: 2 (181 enodes) 1540196581.476 * * [misc]simplify: iters left: 1 (323 enodes) 1540196581.623 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196581.623 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196581.623 * * * * [misc]progress: [ 637 / 6870 ] simplifiying candidate # 1540196581.623 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540196581.623 * * [misc]simplify: iters left: 6 (16 enodes) 1540196581.626 * * [misc]simplify: iters left: 5 (28 enodes) 1540196581.635 * * [misc]simplify: iters left: 4 (52 enodes) 1540196581.654 * * [misc]simplify: iters left: 3 (99 enodes) 1540196581.698 * * [misc]simplify: iters left: 2 (292 enodes) 1540196581.965 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196581.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196581.965 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196581.966 * * [misc]simplify: iters left: 6 (18 enodes) 1540196581.968 * * [misc]simplify: iters left: 5 (27 enodes) 1540196581.972 * * [misc]simplify: iters left: 4 (46 enodes) 1540196581.979 * * [misc]simplify: iters left: 3 (94 enodes) 1540196581.998 * * [misc]simplify: iters left: 2 (181 enodes) 1540196582.050 * * [misc]simplify: iters left: 1 (323 enodes) 1540196582.179 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196582.179 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196582.179 * * * * [misc]progress: [ 638 / 6870 ] simplifiying candidate # 1540196582.179 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196582.179 * * [misc]simplify: iters left: 6 (20 enodes) 1540196582.183 * * [misc]simplify: iters left: 5 (35 enodes) 1540196582.188 * * [misc]simplify: iters left: 4 (69 enodes) 1540196582.202 * * [misc]simplify: iters left: 3 (152 enodes) 1540196582.251 * * [misc]simplify: iters left: 2 (498 enodes) 1540196582.871 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196582.871 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196582.871 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196582.871 * * [misc]simplify: iters left: 6 (19 enodes) 1540196582.877 * * [misc]simplify: iters left: 5 (28 enodes) 1540196582.885 * * [misc]simplify: iters left: 4 (47 enodes) 1540196582.900 * * [misc]simplify: iters left: 3 (95 enodes) 1540196582.931 * * [misc]simplify: iters left: 2 (182 enodes) 1540196582.989 * * [misc]simplify: iters left: 1 (317 enodes) 1540196583.154 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196583.154 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196583.154 * * * * [misc]progress: [ 639 / 6870 ] simplifiying candidate # 1540196583.154 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196583.154 * * [misc]simplify: iters left: 6 (19 enodes) 1540196583.157 * * [misc]simplify: iters left: 5 (32 enodes) 1540196583.162 * * [misc]simplify: iters left: 4 (59 enodes) 1540196583.171 * * [misc]simplify: iters left: 3 (106 enodes) 1540196583.220 * * [misc]simplify: iters left: 2 (323 enodes) 1540196583.599 * [exit]simplify: Simplified to (* (sqrt PI) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196583.599 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196583.599 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196583.600 * * [misc]simplify: iters left: 6 (19 enodes) 1540196583.605 * * [misc]simplify: iters left: 5 (28 enodes) 1540196583.613 * * [misc]simplify: iters left: 4 (47 enodes) 1540196583.627 * * [misc]simplify: iters left: 3 (95 enodes) 1540196583.664 * * [misc]simplify: iters left: 2 (182 enodes) 1540196583.741 * * [misc]simplify: iters left: 1 (317 enodes) 1540196583.891 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196583.891 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196583.891 * * * * [misc]progress: [ 640 / 6870 ] simplifiying candidate # 1540196583.892 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt 1) 1)) 1540196583.892 * * [misc]simplify: iters left: 6 (14 enodes) 1540196583.897 * * [misc]simplify: iters left: 5 (25 enodes) 1540196583.900 * * [misc]simplify: iters left: 4 (36 enodes) 1540196583.905 * * [misc]simplify: iters left: 3 (46 enodes) 1540196583.911 * * [misc]simplify: iters left: 2 (82 enodes) 1540196583.931 * * [misc]simplify: iters left: 1 (124 enodes) 1540196583.985 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196583.985 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196583.985 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196583.986 * * [misc]simplify: iters left: 6 (18 enodes) 1540196583.988 * * [misc]simplify: iters left: 5 (27 enodes) 1540196583.992 * * [misc]simplify: iters left: 4 (46 enodes) 1540196583.999 * * [misc]simplify: iters left: 3 (94 enodes) 1540196584.016 * * [misc]simplify: iters left: 2 (181 enodes) 1540196584.063 * * [misc]simplify: iters left: 1 (323 enodes) 1540196584.259 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196584.259 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196584.259 * * * * [misc]progress: [ 641 / 6870 ] simplifiying candidate # 1540196584.260 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196584.260 * * [misc]simplify: iters left: 6 (16 enodes) 1540196584.266 * * [misc]simplify: iters left: 5 (28 enodes) 1540196584.275 * * [misc]simplify: iters left: 4 (52 enodes) 1540196584.293 * * [misc]simplify: iters left: 3 (129 enodes) 1540196584.341 * * [misc]simplify: iters left: 2 (495 enodes) 1540196585.127 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196585.127 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196585.127 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196585.127 * * [misc]simplify: iters left: 6 (19 enodes) 1540196585.130 * * [misc]simplify: iters left: 5 (28 enodes) 1540196585.134 * * [misc]simplify: iters left: 4 (47 enodes) 1540196585.142 * * [misc]simplify: iters left: 3 (95 enodes) 1540196585.166 * * [misc]simplify: iters left: 2 (182 enodes) 1540196585.231 * * [misc]simplify: iters left: 1 (317 enodes) 1540196585.397 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196585.397 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196585.397 * * * * [misc]progress: [ 642 / 6870 ] simplifiying candidate # 1540196585.398 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196585.398 * * [misc]simplify: iters left: 6 (16 enodes) 1540196585.403 * * [misc]simplify: iters left: 5 (28 enodes) 1540196585.412 * * [misc]simplify: iters left: 4 (52 enodes) 1540196585.427 * * [misc]simplify: iters left: 3 (129 enodes) 1540196585.495 * * [misc]simplify: iters left: 2 (495 enodes) 1540196586.081 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196586.081 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196586.081 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196586.081 * * [misc]simplify: iters left: 6 (19 enodes) 1540196586.084 * * [misc]simplify: iters left: 5 (28 enodes) 1540196586.088 * * [misc]simplify: iters left: 4 (47 enodes) 1540196586.095 * * [misc]simplify: iters left: 3 (95 enodes) 1540196586.133 * * [misc]simplify: iters left: 2 (182 enodes) 1540196586.198 * * [misc]simplify: iters left: 1 (317 enodes) 1540196586.346 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196586.346 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196586.346 * * * * [misc]progress: [ 643 / 6870 ] simplifiying candidate # 1540196586.346 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196586.346 * * [misc]simplify: iters left: 6 (20 enodes) 1540196586.352 * * [misc]simplify: iters left: 5 (35 enodes) 1540196586.363 * * [misc]simplify: iters left: 4 (68 enodes) 1540196586.383 * * [misc]simplify: iters left: 3 (174 enodes) 1540196586.460 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196586.460 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196586.460 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196586.461 * * [misc]simplify: iters left: 6 (20 enodes) 1540196586.466 * * [misc]simplify: iters left: 5 (29 enodes) 1540196586.477 * * [misc]simplify: iters left: 4 (48 enodes) 1540196586.491 * * [misc]simplify: iters left: 3 (96 enodes) 1540196586.519 * * [misc]simplify: iters left: 2 (183 enodes) 1540196586.576 * * [misc]simplify: iters left: 1 (321 enodes) 1540196586.709 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196586.709 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196586.709 * * * * [misc]progress: [ 644 / 6870 ] simplifiying candidate # 1540196586.709 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196586.710 * * [misc]simplify: iters left: 6 (19 enodes) 1540196586.715 * * [misc]simplify: iters left: 5 (32 enodes) 1540196586.728 * * [misc]simplify: iters left: 4 (59 enodes) 1540196586.745 * * [misc]simplify: iters left: 3 (96 enodes) 1540196586.780 * * [misc]simplify: iters left: 2 (261 enodes) 1540196586.949 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196586.949 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196586.949 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196586.950 * * [misc]simplify: iters left: 6 (20 enodes) 1540196586.952 * * [misc]simplify: iters left: 5 (29 enodes) 1540196586.957 * * [misc]simplify: iters left: 4 (48 enodes) 1540196586.968 * * [misc]simplify: iters left: 3 (96 enodes) 1540196586.994 * * [misc]simplify: iters left: 2 (183 enodes) 1540196587.041 * * [misc]simplify: iters left: 1 (321 enodes) 1540196587.188 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196587.188 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196587.188 * * * * [misc]progress: [ 645 / 6870 ] simplifiying candidate # 1540196587.188 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196587.188 * * [misc]simplify: iters left: 6 (14 enodes) 1540196587.190 * * [misc]simplify: iters left: 5 (25 enodes) 1540196587.195 * * [misc]simplify: iters left: 4 (50 enodes) 1540196587.201 * * [misc]simplify: iters left: 3 (68 enodes) 1540196587.210 * * [misc]simplify: iters left: 2 (138 enodes) 1540196587.253 * * [misc]simplify: iters left: 1 (238 enodes) 1540196587.328 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196587.328 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196587.328 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196587.328 * * [misc]simplify: iters left: 6 (19 enodes) 1540196587.331 * * [misc]simplify: iters left: 5 (28 enodes) 1540196587.338 * * [misc]simplify: iters left: 4 (47 enodes) 1540196587.353 * * [misc]simplify: iters left: 3 (95 enodes) 1540196587.378 * * [misc]simplify: iters left: 2 (182 enodes) 1540196587.431 * * [misc]simplify: iters left: 1 (317 enodes) 1540196587.608 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196587.608 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196587.609 * * * * [misc]progress: [ 646 / 6870 ] simplifiying candidate # 1540196587.609 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 (pow 2 1/2))) 1540196587.609 * * [misc]simplify: iters left: 6 (15 enodes) 1540196587.615 * * [misc]simplify: iters left: 5 (27 enodes) 1540196587.623 * * [misc]simplify: iters left: 4 (49 enodes) 1540196587.638 * * [misc]simplify: iters left: 3 (82 enodes) 1540196587.675 * * [misc]simplify: iters left: 2 (216 enodes) 1540196587.820 * * [misc]simplify: iters left: 1 (443 enodes) 1540196588.050 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540196588.050 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196588.050 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196588.050 * * [misc]simplify: iters left: 6 (18 enodes) 1540196588.055 * * [misc]simplify: iters left: 5 (27 enodes) 1540196588.063 * * [misc]simplify: iters left: 4 (46 enodes) 1540196588.077 * * [misc]simplify: iters left: 3 (94 enodes) 1540196588.112 * * [misc]simplify: iters left: 2 (181 enodes) 1540196588.193 * * [misc]simplify: iters left: 1 (323 enodes) 1540196588.348 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196588.348 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196588.348 * * * * [misc]progress: [ 647 / 6870 ] simplifiying candidate # 1540196588.348 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 (pow 2 1/2))) 1540196588.348 * * [misc]simplify: iters left: 6 (15 enodes) 1540196588.351 * * [misc]simplify: iters left: 5 (27 enodes) 1540196588.356 * * [misc]simplify: iters left: 4 (49 enodes) 1540196588.372 * * [misc]simplify: iters left: 3 (82 enodes) 1540196588.397 * * [misc]simplify: iters left: 2 (216 enodes) 1540196588.540 * * [misc]simplify: iters left: 1 (443 enodes) 1540196588.838 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540196588.838 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196588.838 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196588.839 * * [misc]simplify: iters left: 6 (18 enodes) 1540196588.841 * * [misc]simplify: iters left: 5 (27 enodes) 1540196588.845 * * [misc]simplify: iters left: 4 (46 enodes) 1540196588.852 * * [misc]simplify: iters left: 3 (94 enodes) 1540196588.871 * * [misc]simplify: iters left: 2 (181 enodes) 1540196588.936 * * [misc]simplify: iters left: 1 (323 enodes) 1540196589.076 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196589.076 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196589.076 * * * * [misc]progress: [ 648 / 6870 ] simplifiying candidate # 1540196589.077 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196589.077 * * [misc]simplify: iters left: 6 (19 enodes) 1540196589.080 * * [misc]simplify: iters left: 5 (34 enodes) 1540196589.087 * * [misc]simplify: iters left: 4 (65 enodes) 1540196589.111 * * [misc]simplify: iters left: 3 (125 enodes) 1540196589.147 * * [misc]simplify: iters left: 2 (398 enodes) 1540196589.662 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196589.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196589.663 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196589.663 * * [misc]simplify: iters left: 6 (19 enodes) 1540196589.668 * * [misc]simplify: iters left: 5 (28 enodes) 1540196589.676 * * [misc]simplify: iters left: 4 (47 enodes) 1540196589.690 * * [misc]simplify: iters left: 3 (95 enodes) 1540196589.710 * * [misc]simplify: iters left: 2 (182 enodes) 1540196589.754 * * [misc]simplify: iters left: 1 (317 enodes) 1540196589.941 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196589.942 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196589.942 * * * * [misc]progress: [ 649 / 6870 ] simplifiying candidate # 1540196589.942 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196589.942 * * [misc]simplify: iters left: 6 (18 enodes) 1540196589.947 * * [misc]simplify: iters left: 5 (31 enodes) 1540196589.957 * * [misc]simplify: iters left: 4 (56 enodes) 1540196589.974 * * [misc]simplify: iters left: 3 (91 enodes) 1540196590.007 * * [misc]simplify: iters left: 2 (266 enodes) 1540196590.306 * [exit]simplify: Simplified to (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196590.306 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196590.306 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196590.306 * * [misc]simplify: iters left: 6 (19 enodes) 1540196590.309 * * [misc]simplify: iters left: 5 (28 enodes) 1540196590.313 * * [misc]simplify: iters left: 4 (47 enodes) 1540196590.320 * * [misc]simplify: iters left: 3 (95 enodes) 1540196590.350 * * [misc]simplify: iters left: 2 (182 enodes) 1540196590.401 * * [misc]simplify: iters left: 1 (317 enodes) 1540196590.533 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196590.533 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196590.534 * * * * [misc]progress: [ 650 / 6870 ] simplifiying candidate # 1540196590.534 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ 1 1)) 1540196590.534 * * [misc]simplify: iters left: 6 (13 enodes) 1540196590.538 * * [misc]simplify: iters left: 5 (22 enodes) 1540196590.545 * * [misc]simplify: iters left: 4 (39 enodes) 1540196590.556 * * [misc]simplify: iters left: 3 (51 enodes) 1540196590.569 * * [misc]simplify: iters left: 2 (83 enodes) 1540196590.603 * * [misc]simplify: iters left: 1 (120 enodes) 1540196590.626 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1540196590.626 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196590.627 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196590.627 * * [misc]simplify: iters left: 6 (18 enodes) 1540196590.629 * * [misc]simplify: iters left: 5 (27 enodes) 1540196590.635 * * [misc]simplify: iters left: 4 (46 enodes) 1540196590.644 * * [misc]simplify: iters left: 3 (94 enodes) 1540196590.662 * * [misc]simplify: iters left: 2 (181 enodes) 1540196590.716 * * [misc]simplify: iters left: 1 (323 enodes) 1540196590.865 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196590.865 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196590.866 * * * * [misc]progress: [ 651 / 6870 ] simplifiying candidate # 1540196590.866 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1) 1540196590.866 * * [misc]simplify: iters left: 6 (12 enodes) 1540196590.868 * * [misc]simplify: iters left: 5 (21 enodes) 1540196590.872 * * [misc]simplify: iters left: 4 (38 enodes) 1540196590.884 * * [misc]simplify: iters left: 3 (54 enodes) 1540196590.899 * * [misc]simplify: iters left: 2 (91 enodes) 1540196590.938 * * [misc]simplify: iters left: 1 (129 enodes) 1540196590.973 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196590.973 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196590.973 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196590.973 * * [misc]simplify: iters left: 6 (18 enodes) 1540196590.976 * * [misc]simplify: iters left: 5 (27 enodes) 1540196590.979 * * [misc]simplify: iters left: 4 (46 enodes) 1540196590.986 * * [misc]simplify: iters left: 3 (94 enodes) 1540196591.014 * * [misc]simplify: iters left: 2 (181 enodes) 1540196591.093 * * [misc]simplify: iters left: 1 (323 enodes) 1540196591.256 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196591.256 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196591.256 * * * * [misc]progress: [ 652 / 6870 ] simplifiying candidate # 1540196591.256 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (sqrt (sqrt k))) 1540196591.257 * * [misc]simplify: iters left: 6 (12 enodes) 1540196591.258 * * [misc]simplify: iters left: 5 (21 enodes) 1540196591.262 * * [misc]simplify: iters left: 4 (39 enodes) 1540196591.268 * * [misc]simplify: iters left: 3 (82 enodes) 1540196591.299 * * [misc]simplify: iters left: 2 (262 enodes) 1540196591.469 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) 1540196591.469 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196591.470 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196591.470 * * [misc]simplify: iters left: 6 (19 enodes) 1540196591.473 * * [misc]simplify: iters left: 5 (30 enodes) 1540196591.478 * * [misc]simplify: iters left: 4 (47 enodes) 1540196591.486 * * [misc]simplify: iters left: 3 (99 enodes) 1540196591.506 * * [misc]simplify: iters left: 2 (207 enodes) 1540196591.593 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196591.593 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196591.593 * * * * [misc]progress: [ 653 / 6870 ] simplifiying candidate # 1540196591.594 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196591.594 * * [misc]simplify: iters left: 6 (15 enodes) 1540196591.600 * * [misc]simplify: iters left: 5 (27 enodes) 1540196591.609 * * [misc]simplify: iters left: 4 (51 enodes) 1540196591.625 * * [misc]simplify: iters left: 3 (90 enodes) 1540196591.661 * * [misc]simplify: iters left: 2 (253 enodes) 1540196591.869 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196591.869 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))))) 1540196591.870 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540196591.870 * * [misc]simplify: iters left: 6 (17 enodes) 1540196591.875 * * [misc]simplify: iters left: 5 (24 enodes) 1540196591.881 * * [misc]simplify: iters left: 4 (35 enodes) 1540196591.893 * * [misc]simplify: iters left: 3 (50 enodes) 1540196591.906 * * [misc]simplify: iters left: 2 (67 enodes) 1540196591.924 * * [misc]simplify: iters left: 1 (84 enodes) 1540196591.940 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196591.940 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196591.940 * * * * [misc]progress: [ 654 / 6870 ] simplifiying candidate # 1540196591.940 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196591.940 * * [misc]simplify: iters left: 6 (21 enodes) 1540196591.943 * * [misc]simplify: iters left: 5 (32 enodes) 1540196591.947 * * [misc]simplify: iters left: 4 (53 enodes) 1540196591.955 * * [misc]simplify: iters left: 3 (88 enodes) 1540196591.968 * * [misc]simplify: iters left: 2 (135 enodes) 1540196592.007 * * [misc]simplify: iters left: 1 (201 enodes) 1540196592.075 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (fabs (cbrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196592.075 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (fabs (cbrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196592.076 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196592.076 * * [misc]simplify: iters left: 6 (20 enodes) 1540196592.078 * * [misc]simplify: iters left: 5 (27 enodes) 1540196592.082 * * [misc]simplify: iters left: 4 (38 enodes) 1540196592.088 * * [misc]simplify: iters left: 3 (53 enodes) 1540196592.095 * * [misc]simplify: iters left: 2 (70 enodes) 1540196592.104 * * [misc]simplify: iters left: 1 (87 enodes) 1540196592.120 * [exit]simplify: Simplified to (/ (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196592.120 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (fabs (cbrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196592.120 * * * * [misc]progress: [ 655 / 6870 ] simplifiying candidate # 1540196592.120 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196592.121 * * [misc]simplify: iters left: 6 (20 enodes) 1540196592.126 * * [misc]simplify: iters left: 5 (29 enodes) 1540196592.133 * * [misc]simplify: iters left: 4 (42 enodes) 1540196592.142 * * [misc]simplify: iters left: 3 (57 enodes) 1540196592.149 * * [misc]simplify: iters left: 2 (74 enodes) 1540196592.158 * * [misc]simplify: iters left: 1 (91 enodes) 1540196592.175 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196592.175 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196592.176 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196592.176 * * [misc]simplify: iters left: 6 (20 enodes) 1540196592.181 * * [misc]simplify: iters left: 5 (27 enodes) 1540196592.188 * * [misc]simplify: iters left: 4 (38 enodes) 1540196592.199 * * [misc]simplify: iters left: 3 (53 enodes) 1540196592.213 * * [misc]simplify: iters left: 2 (70 enodes) 1540196592.232 * * [misc]simplify: iters left: 1 (87 enodes) 1540196592.243 * [exit]simplify: Simplified to (/ (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196592.244 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196592.244 * * * * [misc]progress: [ 656 / 6870 ] simplifiying candidate # 1540196592.244 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196592.244 * * [misc]simplify: iters left: 6 (19 enodes) 1540196592.248 * * [misc]simplify: iters left: 5 (31 enodes) 1540196592.252 * * [misc]simplify: iters left: 4 (59 enodes) 1540196592.263 * * [misc]simplify: iters left: 3 (161 enodes) 1540196592.324 * * [misc]simplify: iters left: 2 (416 enodes) 1540196592.603 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196592.604 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196592.604 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196592.604 * * [misc]simplify: iters left: 6 (18 enodes) 1540196592.606 * * [misc]simplify: iters left: 5 (26 enodes) 1540196592.610 * * [misc]simplify: iters left: 4 (44 enodes) 1540196592.622 * * [misc]simplify: iters left: 3 (92 enodes) 1540196592.655 * * [misc]simplify: iters left: 2 (179 enodes) 1540196592.700 * * [misc]simplify: iters left: 1 (315 enodes) 1540196592.863 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196592.863 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196592.863 * * * * [misc]progress: [ 657 / 6870 ] simplifiying candidate # 1540196592.864 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196592.864 * * [misc]simplify: iters left: 6 (19 enodes) 1540196592.869 * * [misc]simplify: iters left: 5 (31 enodes) 1540196592.873 * * [misc]simplify: iters left: 4 (59 enodes) 1540196592.885 * * [misc]simplify: iters left: 3 (161 enodes) 1540196592.959 * * [misc]simplify: iters left: 2 (416 enodes) 1540196593.214 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196593.214 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196593.214 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196593.214 * * [misc]simplify: iters left: 6 (18 enodes) 1540196593.217 * * [misc]simplify: iters left: 5 (26 enodes) 1540196593.220 * * [misc]simplify: iters left: 4 (44 enodes) 1540196593.227 * * [misc]simplify: iters left: 3 (92 enodes) 1540196593.244 * * [misc]simplify: iters left: 2 (179 enodes) 1540196593.305 * * [misc]simplify: iters left: 1 (315 enodes) 1540196593.478 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196593.478 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196593.478 * * * * [misc]progress: [ 658 / 6870 ] simplifiying candidate # 1540196593.478 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196593.478 * * [misc]simplify: iters left: 6 (23 enodes) 1540196593.482 * * [misc]simplify: iters left: 5 (40 enodes) 1540196593.488 * * [misc]simplify: iters left: 4 (91 enodes) 1540196593.506 * * [misc]simplify: iters left: 3 (263 enodes) 1540196593.664 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196593.664 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196593.664 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196593.665 * * [misc]simplify: iters left: 6 (21 enodes) 1540196593.667 * * [misc]simplify: iters left: 5 (30 enodes) 1540196593.672 * * [misc]simplify: iters left: 4 (49 enodes) 1540196593.679 * * [misc]simplify: iters left: 3 (97 enodes) 1540196593.713 * * [misc]simplify: iters left: 2 (184 enodes) 1540196594.155 * * [misc]simplify: iters left: 1 (320 enodes) 1540196594.336 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196594.336 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196594.336 * * * * [misc]progress: [ 659 / 6870 ] simplifiying candidate # 1540196594.337 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196594.337 * * [misc]simplify: iters left: 6 (22 enodes) 1540196594.344 * * [misc]simplify: iters left: 5 (35 enodes) 1540196594.353 * * [misc]simplify: iters left: 4 (66 enodes) 1540196594.364 * * [misc]simplify: iters left: 3 (168 enodes) 1540196594.425 * * [misc]simplify: iters left: 2 (418 enodes) 1540196594.694 * [exit]simplify: Simplified to (* (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196594.694 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196594.694 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196594.694 * * [misc]simplify: iters left: 6 (21 enodes) 1540196594.697 * * [misc]simplify: iters left: 5 (30 enodes) 1540196594.702 * * [misc]simplify: iters left: 4 (49 enodes) 1540196594.711 * * [misc]simplify: iters left: 3 (97 enodes) 1540196594.734 * * [misc]simplify: iters left: 2 (184 enodes) 1540196594.788 * * [misc]simplify: iters left: 1 (320 enodes) 1540196594.955 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196594.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196594.955 * * * * [misc]progress: [ 660 / 6870 ] simplifiying candidate # 1540196594.956 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196594.956 * * [misc]simplify: iters left: 6 (18 enodes) 1540196594.961 * * [misc]simplify: iters left: 5 (31 enodes) 1540196594.972 * * [misc]simplify: iters left: 4 (59 enodes) 1540196594.983 * * [misc]simplify: iters left: 3 (114 enodes) 1540196595.009 * * [misc]simplify: iters left: 2 (310 enodes) 1540196595.207 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196595.207 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196595.207 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196595.207 * * [misc]simplify: iters left: 6 (20 enodes) 1540196595.212 * * [misc]simplify: iters left: 5 (29 enodes) 1540196595.220 * * [misc]simplify: iters left: 4 (48 enodes) 1540196595.234 * * [misc]simplify: iters left: 3 (96 enodes) 1540196595.266 * * [misc]simplify: iters left: 2 (183 enodes) 1540196595.308 * * [misc]simplify: iters left: 1 (325 enodes) 1540196595.451 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540196595.452 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1540196595.452 * * * * [misc]progress: [ 661 / 6870 ] simplifiying candidate # 1540196595.452 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196595.452 * * [misc]simplify: iters left: 6 (16 enodes) 1540196595.458 * * [misc]simplify: iters left: 5 (26 enodes) 1540196595.469 * * [misc]simplify: iters left: 4 (43 enodes) 1540196595.483 * * [misc]simplify: iters left: 3 (88 enodes) 1540196595.515 * * [misc]simplify: iters left: 2 (153 enodes) 1540196595.581 * * [misc]simplify: iters left: 1 (250 enodes) 1540196595.710 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) 1540196595.710 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196595.710 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196595.711 * * [misc]simplify: iters left: 6 (16 enodes) 1540196595.715 * * [misc]simplify: iters left: 5 (24 enodes) 1540196595.722 * * [misc]simplify: iters left: 4 (41 enodes) 1540196595.735 * * [misc]simplify: iters left: 3 (86 enodes) 1540196595.767 * * [misc]simplify: iters left: 2 (151 enodes) 1540196595.829 * * [misc]simplify: iters left: 1 (234 enodes) 1540196595.903 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196595.903 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196595.903 * * * * [misc]progress: [ 662 / 6870 ] simplifiying candidate # 1540196595.903 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196595.904 * * [misc]simplify: iters left: 6 (16 enodes) 1540196595.907 * * [misc]simplify: iters left: 5 (26 enodes) 1540196595.911 * * [misc]simplify: iters left: 4 (43 enodes) 1540196595.926 * * [misc]simplify: iters left: 3 (88 enodes) 1540196595.959 * * [misc]simplify: iters left: 2 (153 enodes) 1540196596.024 * * [misc]simplify: iters left: 1 (250 enodes) 1540196596.123 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) 1540196596.123 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196596.124 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196596.124 * * [misc]simplify: iters left: 6 (16 enodes) 1540196596.126 * * [misc]simplify: iters left: 5 (24 enodes) 1540196596.131 * * [misc]simplify: iters left: 4 (41 enodes) 1540196596.137 * * [misc]simplify: iters left: 3 (86 enodes) 1540196596.154 * * [misc]simplify: iters left: 2 (151 enodes) 1540196596.194 * * [misc]simplify: iters left: 1 (234 enodes) 1540196596.291 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196596.291 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196596.291 * * * * [misc]progress: [ 663 / 6870 ] simplifiying candidate # 1540196596.291 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196596.291 * * [misc]simplify: iters left: 6 (20 enodes) 1540196596.294 * * [misc]simplify: iters left: 5 (33 enodes) 1540196596.299 * * [misc]simplify: iters left: 4 (59 enodes) 1540196596.310 * * [misc]simplify: iters left: 3 (135 enodes) 1540196596.360 * * [misc]simplify: iters left: 2 (300 enodes) 1540196596.518 * [exit]simplify: Simplified to (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt n) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196596.518 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt n) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196596.519 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196596.519 * * [misc]simplify: iters left: 6 (19 enodes) 1540196596.524 * * [misc]simplify: iters left: 5 (28 enodes) 1540196596.532 * * [misc]simplify: iters left: 4 (46 enodes) 1540196596.547 * * [misc]simplify: iters left: 3 (91 enodes) 1540196596.581 * * [misc]simplify: iters left: 2 (156 enodes) 1540196596.619 * * [misc]simplify: iters left: 1 (236 enodes) 1540196596.728 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196596.728 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt n) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196596.728 * * * * [misc]progress: [ 664 / 6870 ] simplifiying candidate # 1540196596.729 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196596.729 * * [misc]simplify: iters left: 6 (19 enodes) 1540196596.734 * * [misc]simplify: iters left: 5 (30 enodes) 1540196596.743 * * [misc]simplify: iters left: 4 (50 enodes) 1540196596.754 * * [misc]simplify: iters left: 3 (95 enodes) 1540196596.771 * * [misc]simplify: iters left: 2 (160 enodes) 1540196596.804 * * [misc]simplify: iters left: 1 (256 enodes) 1540196596.877 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196596.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196596.878 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196596.878 * * [misc]simplify: iters left: 6 (19 enodes) 1540196596.880 * * [misc]simplify: iters left: 5 (28 enodes) 1540196596.884 * * [misc]simplify: iters left: 4 (46 enodes) 1540196596.892 * * [misc]simplify: iters left: 3 (91 enodes) 1540196596.909 * * [misc]simplify: iters left: 2 (156 enodes) 1540196596.947 * * [misc]simplify: iters left: 1 (236 enodes) 1540196597.024 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196597.024 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196597.024 * * * * [misc]progress: [ 665 / 6870 ] simplifiying candidate # 1540196597.025 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196597.025 * * [misc]simplify: iters left: 6 (15 enodes) 1540196597.027 * * [misc]simplify: iters left: 5 (25 enodes) 1540196597.031 * * [misc]simplify: iters left: 4 (42 enodes) 1540196597.037 * * [misc]simplify: iters left: 3 (71 enodes) 1540196597.060 * * [misc]simplify: iters left: 2 (138 enodes) 1540196597.130 * * [misc]simplify: iters left: 1 (249 enodes) 1540196597.254 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) 1540196597.254 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196597.255 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196597.255 * * [misc]simplify: iters left: 6 (18 enodes) 1540196597.260 * * [misc]simplify: iters left: 5 (27 enodes) 1540196597.268 * * [misc]simplify: iters left: 4 (45 enodes) 1540196597.282 * * [misc]simplify: iters left: 3 (90 enodes) 1540196597.313 * * [misc]simplify: iters left: 2 (155 enodes) 1540196597.378 * * [misc]simplify: iters left: 1 (239 enodes) 1540196597.446 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196597.446 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196597.446 * * * * [misc]progress: [ 666 / 6870 ] simplifiying candidate # 1540196597.446 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196597.447 * * [misc]simplify: iters left: 6 (18 enodes) 1540196597.453 * * [misc]simplify: iters left: 5 (28 enodes) 1540196597.463 * * [misc]simplify: iters left: 4 (46 enodes) 1540196597.475 * * [misc]simplify: iters left: 3 (94 enodes) 1540196597.493 * * [misc]simplify: iters left: 2 (181 enodes) 1540196597.564 * * [misc]simplify: iters left: 1 (326 enodes) 1540196597.720 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540196597.720 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196597.720 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196597.720 * * [misc]simplify: iters left: 6 (18 enodes) 1540196597.724 * * [misc]simplify: iters left: 5 (26 enodes) 1540196597.728 * * [misc]simplify: iters left: 4 (44 enodes) 1540196597.735 * * [misc]simplify: iters left: 3 (92 enodes) 1540196597.752 * * [misc]simplify: iters left: 2 (179 enodes) 1540196597.810 * * [misc]simplify: iters left: 1 (315 enodes) 1540196597.967 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196597.967 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196597.967 * * * * [misc]progress: [ 667 / 6870 ] simplifiying candidate # 1540196597.967 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196597.967 * * [misc]simplify: iters left: 6 (18 enodes) 1540196597.971 * * [misc]simplify: iters left: 5 (28 enodes) 1540196597.975 * * [misc]simplify: iters left: 4 (46 enodes) 1540196597.984 * * [misc]simplify: iters left: 3 (94 enodes) 1540196598.015 * * [misc]simplify: iters left: 2 (181 enodes) 1540196598.098 * * [misc]simplify: iters left: 1 (326 enodes) 1540196598.255 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540196598.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196598.255 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196598.255 * * [misc]simplify: iters left: 6 (18 enodes) 1540196598.260 * * [misc]simplify: iters left: 5 (26 enodes) 1540196598.270 * * [misc]simplify: iters left: 4 (44 enodes) 1540196598.283 * * [misc]simplify: iters left: 3 (92 enodes) 1540196598.317 * * [misc]simplify: iters left: 2 (179 enodes) 1540196598.391 * * [misc]simplify: iters left: 1 (315 enodes) 1540196598.532 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196598.532 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196598.532 * * * * [misc]progress: [ 668 / 6870 ] simplifiying candidate # 1540196598.533 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196598.533 * * [misc]simplify: iters left: 6 (22 enodes) 1540196598.540 * * [misc]simplify: iters left: 5 (35 enodes) 1540196598.549 * * [misc]simplify: iters left: 4 (62 enodes) 1540196598.560 * * [misc]simplify: iters left: 3 (141 enodes) 1540196598.607 * * [misc]simplify: iters left: 2 (337 enodes) 1540196598.868 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196598.868 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196598.868 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196598.868 * * [misc]simplify: iters left: 6 (21 enodes) 1540196598.873 * * [misc]simplify: iters left: 5 (30 enodes) 1540196598.881 * * [misc]simplify: iters left: 4 (49 enodes) 1540196598.894 * * [misc]simplify: iters left: 3 (97 enodes) 1540196598.916 * * [misc]simplify: iters left: 2 (184 enodes) 1540196598.978 * * [misc]simplify: iters left: 1 (320 enodes) 1540196599.134 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196599.134 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196599.134 * * * * [misc]progress: [ 669 / 6870 ] simplifiying candidate # 1540196599.135 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196599.135 * * [misc]simplify: iters left: 6 (21 enodes) 1540196599.141 * * [misc]simplify: iters left: 5 (32 enodes) 1540196599.150 * * [misc]simplify: iters left: 4 (53 enodes) 1540196599.164 * * [misc]simplify: iters left: 3 (101 enodes) 1540196599.182 * * [misc]simplify: iters left: 2 (188 enodes) 1540196599.252 * * [misc]simplify: iters left: 1 (324 enodes) 1540196599.387 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) 1540196599.387 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196599.387 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196599.387 * * [misc]simplify: iters left: 6 (21 enodes) 1540196599.393 * * [misc]simplify: iters left: 5 (30 enodes) 1540196599.402 * * [misc]simplify: iters left: 4 (49 enodes) 1540196599.412 * * [misc]simplify: iters left: 3 (97 enodes) 1540196599.430 * * [misc]simplify: iters left: 2 (184 enodes) 1540196599.474 * * [misc]simplify: iters left: 1 (320 enodes) 1540196599.616 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196599.616 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196599.616 * * * * [misc]progress: [ 670 / 6870 ] simplifiying candidate # 1540196599.616 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196599.616 * * [misc]simplify: iters left: 6 (17 enodes) 1540196599.618 * * [misc]simplify: iters left: 5 (28 enodes) 1540196599.623 * * [misc]simplify: iters left: 4 (48 enodes) 1540196599.630 * * [misc]simplify: iters left: 3 (74 enodes) 1540196599.645 * * [misc]simplify: iters left: 2 (131 enodes) 1540196599.701 * * [misc]simplify: iters left: 1 (235 enodes) 1540196599.774 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540196599.774 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196599.774 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196599.774 * * [misc]simplify: iters left: 6 (20 enodes) 1540196599.779 * * [misc]simplify: iters left: 5 (29 enodes) 1540196599.783 * * [misc]simplify: iters left: 4 (48 enodes) 1540196599.797 * * [misc]simplify: iters left: 3 (96 enodes) 1540196599.832 * * [misc]simplify: iters left: 2 (183 enodes) 1540196599.909 * * [misc]simplify: iters left: 1 (325 enodes) 1540196600.110 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540196600.110 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1540196600.110 * * * * [misc]progress: [ 671 / 6870 ] simplifiying candidate # 1540196600.110 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196600.111 * * [misc]simplify: iters left: 6 (18 enodes) 1540196600.120 * * [misc]simplify: iters left: 5 (30 enodes) 1540196600.128 * * [misc]simplify: iters left: 4 (50 enodes) 1540196600.146 * * [misc]simplify: iters left: 3 (117 enodes) 1540196600.178 * * [misc]simplify: iters left: 2 (262 enodes) 1540196600.308 * * [misc]simplify: iters left: 1 (425 enodes) 1540196600.497 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540196600.497 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196600.498 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196600.498 * * [misc]simplify: iters left: 6 (17 enodes) 1540196600.502 * * [misc]simplify: iters left: 5 (25 enodes) 1540196600.509 * * [misc]simplify: iters left: 4 (43 enodes) 1540196600.522 * * [misc]simplify: iters left: 3 (91 enodes) 1540196600.554 * * [misc]simplify: iters left: 2 (178 enodes) 1540196600.632 * * [misc]simplify: iters left: 1 (319 enodes) 1540196600.790 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540196600.790 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))))) 1540196600.790 * * * * [misc]progress: [ 672 / 6870 ] simplifiying candidate # 1540196600.790 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196600.790 * * [misc]simplify: iters left: 6 (18 enodes) 1540196600.797 * * [misc]simplify: iters left: 5 (30 enodes) 1540196600.806 * * [misc]simplify: iters left: 4 (50 enodes) 1540196600.823 * * [misc]simplify: iters left: 3 (117 enodes) 1540196600.849 * * [misc]simplify: iters left: 2 (262 enodes) 1540196600.989 * * [misc]simplify: iters left: 1 (425 enodes) 1540196601.241 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540196601.241 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196601.241 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196601.242 * * [misc]simplify: iters left: 6 (17 enodes) 1540196601.245 * * [misc]simplify: iters left: 5 (25 enodes) 1540196601.248 * * [misc]simplify: iters left: 4 (43 enodes) 1540196601.255 * * [misc]simplify: iters left: 3 (91 enodes) 1540196601.272 * * [misc]simplify: iters left: 2 (178 enodes) 1540196601.314 * * [misc]simplify: iters left: 1 (319 enodes) 1540196601.461 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540196601.461 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))))) 1540196601.461 * * * * [misc]progress: [ 673 / 6870 ] simplifiying candidate # 1540196601.461 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196601.461 * * [misc]simplify: iters left: 6 (22 enodes) 1540196601.466 * * [misc]simplify: iters left: 5 (37 enodes) 1540196601.476 * * [misc]simplify: iters left: 4 (67 enodes) 1540196601.500 * * [misc]simplify: iters left: 3 (178 enodes) 1540196601.574 * * [misc]simplify: iters left: 2 (453 enodes) 1540196601.965 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) 1540196601.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196601.966 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196601.966 * * [misc]simplify: iters left: 6 (20 enodes) 1540196601.972 * * [misc]simplify: iters left: 5 (29 enodes) 1540196601.980 * * [misc]simplify: iters left: 4 (48 enodes) 1540196601.995 * * [misc]simplify: iters left: 3 (96 enodes) 1540196602.030 * * [misc]simplify: iters left: 2 (183 enodes) 1540196602.111 * * [misc]simplify: iters left: 1 (325 enodes) 1540196602.298 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) 1540196602.299 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))))) 1540196602.299 * * * * [misc]progress: [ 674 / 6870 ] simplifiying candidate # 1540196602.299 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196602.299 * * [misc]simplify: iters left: 6 (21 enodes) 1540196602.306 * * [misc]simplify: iters left: 5 (34 enodes) 1540196602.315 * * [misc]simplify: iters left: 4 (57 enodes) 1540196602.334 * * [misc]simplify: iters left: 3 (120 enodes) 1540196602.371 * * [misc]simplify: iters left: 2 (263 enodes) 1540196602.548 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196602.548 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196602.548 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196602.549 * * [misc]simplify: iters left: 6 (20 enodes) 1540196602.551 * * [misc]simplify: iters left: 5 (29 enodes) 1540196602.556 * * [misc]simplify: iters left: 4 (48 enodes) 1540196602.569 * * [misc]simplify: iters left: 3 (96 enodes) 1540196602.587 * * [misc]simplify: iters left: 2 (183 enodes) 1540196602.666 * * [misc]simplify: iters left: 1 (325 enodes) 1540196602.888 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) 1540196602.888 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))))) 1540196602.889 * * * * [misc]progress: [ 675 / 6870 ] simplifiying candidate # 1540196602.889 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196602.889 * * [misc]simplify: iters left: 6 (16 enodes) 1540196602.895 * * [misc]simplify: iters left: 5 (27 enodes) 1540196602.902 * * [misc]simplify: iters left: 4 (35 enodes) 1540196602.913 * * [misc]simplify: iters left: 3 (57 enodes) 1540196602.929 * * [misc]simplify: iters left: 2 (86 enodes) 1540196602.973 * * [misc]simplify: iters left: 1 (142 enodes) 1540196603.036 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540196603.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196603.036 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196603.037 * * [misc]simplify: iters left: 6 (19 enodes) 1540196603.042 * * [misc]simplify: iters left: 5 (28 enodes) 1540196603.050 * * [misc]simplify: iters left: 4 (47 enodes) 1540196603.066 * * [misc]simplify: iters left: 3 (95 enodes) 1540196603.100 * * [misc]simplify: iters left: 2 (182 enodes) 1540196603.140 * * [misc]simplify: iters left: 1 (322 enodes) 1540196603.308 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))) 1540196603.308 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1540196603.308 * * * * [misc]progress: [ 676 / 6870 ] simplifiying candidate # 1540196603.308 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196603.308 * * [misc]simplify: iters left: 6 (18 enodes) 1540196603.312 * * [misc]simplify: iters left: 5 (28 enodes) 1540196603.321 * * [misc]simplify: iters left: 4 (46 enodes) 1540196603.339 * * [misc]simplify: iters left: 3 (94 enodes) 1540196603.376 * * [misc]simplify: iters left: 2 (181 enodes) 1540196603.454 * * [misc]simplify: iters left: 1 (326 enodes) 1540196603.620 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540196603.620 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196603.620 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196603.621 * * [misc]simplify: iters left: 6 (18 enodes) 1540196603.626 * * [misc]simplify: iters left: 5 (26 enodes) 1540196603.633 * * [misc]simplify: iters left: 4 (44 enodes) 1540196603.643 * * [misc]simplify: iters left: 3 (92 enodes) 1540196603.661 * * [misc]simplify: iters left: 2 (179 enodes) 1540196603.738 * * [misc]simplify: iters left: 1 (315 enodes) 1540196603.857 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196603.857 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196603.857 * * * * [misc]progress: [ 677 / 6870 ] simplifiying candidate # 1540196603.858 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196603.858 * * [misc]simplify: iters left: 6 (18 enodes) 1540196603.863 * * [misc]simplify: iters left: 5 (28 enodes) 1540196603.871 * * [misc]simplify: iters left: 4 (46 enodes) 1540196603.887 * * [misc]simplify: iters left: 3 (94 enodes) 1540196603.906 * * [misc]simplify: iters left: 2 (181 enodes) 1540196603.977 * * [misc]simplify: iters left: 1 (326 enodes) 1540196604.092 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540196604.092 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196604.092 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196604.092 * * [misc]simplify: iters left: 6 (18 enodes) 1540196604.095 * * [misc]simplify: iters left: 5 (26 enodes) 1540196604.099 * * [misc]simplify: iters left: 4 (44 enodes) 1540196604.107 * * [misc]simplify: iters left: 3 (92 enodes) 1540196604.125 * * [misc]simplify: iters left: 2 (179 enodes) 1540196604.172 * * [misc]simplify: iters left: 1 (315 enodes) 1540196604.301 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196604.301 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196604.301 * * * * [misc]progress: [ 678 / 6870 ] simplifiying candidate # 1540196604.301 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196604.302 * * [misc]simplify: iters left: 6 (22 enodes) 1540196604.305 * * [misc]simplify: iters left: 5 (35 enodes) 1540196604.309 * * [misc]simplify: iters left: 4 (62 enodes) 1540196604.321 * * [misc]simplify: iters left: 3 (141 enodes) 1540196604.365 * * [misc]simplify: iters left: 2 (337 enodes) 1540196604.566 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196604.567 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196604.567 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196604.567 * * [misc]simplify: iters left: 6 (21 enodes) 1540196604.572 * * [misc]simplify: iters left: 5 (30 enodes) 1540196604.580 * * [misc]simplify: iters left: 4 (49 enodes) 1540196604.594 * * [misc]simplify: iters left: 3 (97 enodes) 1540196604.612 * * [misc]simplify: iters left: 2 (184 enodes) 1540196604.675 * * [misc]simplify: iters left: 1 (320 enodes) 1540196604.874 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196604.875 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196604.876 * * * * [misc]progress: [ 679 / 6870 ] simplifiying candidate # 1540196604.876 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196604.876 * * [misc]simplify: iters left: 6 (21 enodes) 1540196604.881 * * [misc]simplify: iters left: 5 (32 enodes) 1540196604.885 * * [misc]simplify: iters left: 4 (53 enodes) 1540196604.893 * * [misc]simplify: iters left: 3 (101 enodes) 1540196604.916 * * [misc]simplify: iters left: 2 (188 enodes) 1540196604.961 * * [misc]simplify: iters left: 1 (324 enodes) 1540196605.162 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) 1540196605.162 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196605.162 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196605.162 * * [misc]simplify: iters left: 6 (21 enodes) 1540196605.168 * * [misc]simplify: iters left: 5 (30 enodes) 1540196605.177 * * [misc]simplify: iters left: 4 (49 enodes) 1540196605.193 * * [misc]simplify: iters left: 3 (97 enodes) 1540196605.230 * * [misc]simplify: iters left: 2 (184 enodes) 1540196605.287 * * [misc]simplify: iters left: 1 (320 enodes) 1540196605.461 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196605.461 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196605.462 * * * * [misc]progress: [ 680 / 6870 ] simplifiying candidate # 1540196605.462 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196605.462 * * [misc]simplify: iters left: 6 (17 enodes) 1540196605.467 * * [misc]simplify: iters left: 5 (28 enodes) 1540196605.475 * * [misc]simplify: iters left: 4 (48 enodes) 1540196605.482 * * [misc]simplify: iters left: 3 (74 enodes) 1540196605.493 * * [misc]simplify: iters left: 2 (131 enodes) 1540196605.540 * * [misc]simplify: iters left: 1 (235 enodes) 1540196605.618 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540196605.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196605.618 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196605.619 * * [misc]simplify: iters left: 6 (20 enodes) 1540196605.624 * * [misc]simplify: iters left: 5 (29 enodes) 1540196605.628 * * [misc]simplify: iters left: 4 (48 enodes) 1540196605.637 * * [misc]simplify: iters left: 3 (96 enodes) 1540196605.658 * * [misc]simplify: iters left: 2 (183 enodes) 1540196605.713 * * [misc]simplify: iters left: 1 (325 enodes) 1540196605.874 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540196605.874 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1540196605.874 * * * * [misc]progress: [ 681 / 6870 ] simplifiying candidate # 1540196605.875 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196605.875 * * [misc]simplify: iters left: 6 (17 enodes) 1540196605.881 * * [misc]simplify: iters left: 5 (29 enodes) 1540196605.885 * * [misc]simplify: iters left: 4 (45 enodes) 1540196605.896 * * [misc]simplify: iters left: 3 (97 enodes) 1540196605.915 * * [misc]simplify: iters left: 2 (182 enodes) 1540196605.999 * * [misc]simplify: iters left: 1 (313 enodes) 1540196606.151 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540196606.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196606.152 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196606.152 * * [misc]simplify: iters left: 6 (17 enodes) 1540196606.156 * * [misc]simplify: iters left: 5 (25 enodes) 1540196606.164 * * [misc]simplify: iters left: 4 (43 enodes) 1540196606.178 * * [misc]simplify: iters left: 3 (91 enodes) 1540196606.206 * * [misc]simplify: iters left: 2 (178 enodes) 1540196606.262 * * [misc]simplify: iters left: 1 (319 enodes) 1540196606.464 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540196606.464 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))))) 1540196606.464 * * * * [misc]progress: [ 682 / 6870 ] simplifiying candidate # 1540196606.464 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196606.464 * * [misc]simplify: iters left: 6 (17 enodes) 1540196606.468 * * [misc]simplify: iters left: 5 (29 enodes) 1540196606.472 * * [misc]simplify: iters left: 4 (45 enodes) 1540196606.481 * * [misc]simplify: iters left: 3 (97 enodes) 1540196606.517 * * [misc]simplify: iters left: 2 (182 enodes) 1540196606.604 * * [misc]simplify: iters left: 1 (313 enodes) 1540196606.742 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540196606.742 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196606.742 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196606.743 * * [misc]simplify: iters left: 6 (17 enodes) 1540196606.745 * * [misc]simplify: iters left: 5 (25 enodes) 1540196606.749 * * [misc]simplify: iters left: 4 (43 enodes) 1540196606.759 * * [misc]simplify: iters left: 3 (91 enodes) 1540196606.796 * * [misc]simplify: iters left: 2 (178 enodes) 1540196606.849 * * [misc]simplify: iters left: 1 (319 enodes) 1540196606.996 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540196606.996 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))))) 1540196606.996 * * * * [misc]progress: [ 683 / 6870 ] simplifiying candidate # 1540196606.997 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196606.997 * * [misc]simplify: iters left: 6 (21 enodes) 1540196607.000 * * [misc]simplify: iters left: 5 (36 enodes) 1540196607.005 * * [misc]simplify: iters left: 4 (61 enodes) 1540196607.020 * * [misc]simplify: iters left: 3 (155 enodes) 1540196607.067 * * [misc]simplify: iters left: 2 (370 enodes) 1540196607.339 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196607.340 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196607.340 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196607.340 * * [misc]simplify: iters left: 6 (20 enodes) 1540196607.343 * * [misc]simplify: iters left: 5 (29 enodes) 1540196607.347 * * [misc]simplify: iters left: 4 (48 enodes) 1540196607.354 * * [misc]simplify: iters left: 3 (96 enodes) 1540196607.373 * * [misc]simplify: iters left: 2 (183 enodes) 1540196607.430 * * [misc]simplify: iters left: 1 (325 enodes) 1540196607.581 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) 1540196607.581 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))))) 1540196607.581 * * * * [misc]progress: [ 684 / 6870 ] simplifiying candidate # 1540196607.582 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196607.582 * * [misc]simplify: iters left: 6 (20 enodes) 1540196607.584 * * [misc]simplify: iters left: 5 (33 enodes) 1540196607.589 * * [misc]simplify: iters left: 4 (52 enodes) 1540196607.597 * * [misc]simplify: iters left: 3 (104 enodes) 1540196607.617 * * [misc]simplify: iters left: 2 (189 enodes) 1540196607.702 * * [misc]simplify: iters left: 1 (392 enodes) 1540196607.940 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196607.940 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196607.941 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196607.941 * * [misc]simplify: iters left: 6 (20 enodes) 1540196607.943 * * [misc]simplify: iters left: 5 (29 enodes) 1540196607.947 * * [misc]simplify: iters left: 4 (48 enodes) 1540196607.954 * * [misc]simplify: iters left: 3 (96 enodes) 1540196607.980 * * [misc]simplify: iters left: 2 (183 enodes) 1540196608.061 * * [misc]simplify: iters left: 1 (325 enodes) 1540196608.217 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) 1540196608.217 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))))) 1540196608.217 * * * * [misc]progress: [ 685 / 6870 ] simplifiying candidate # 1540196608.217 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540196608.218 * * [misc]simplify: iters left: 6 (15 enodes) 1540196608.222 * * [misc]simplify: iters left: 5 (24 enodes) 1540196608.228 * * [misc]simplify: iters left: 4 (32 enodes) 1540196608.232 * * [misc]simplify: iters left: 3 (45 enodes) 1540196608.238 * * [misc]simplify: iters left: 2 (59 enodes) 1540196608.245 * * [misc]simplify: iters left: 1 (75 enodes) 1540196608.255 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540196608.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196608.255 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196608.255 * * [misc]simplify: iters left: 6 (19 enodes) 1540196608.260 * * [misc]simplify: iters left: 5 (28 enodes) 1540196608.271 * * [misc]simplify: iters left: 4 (47 enodes) 1540196608.285 * * [misc]simplify: iters left: 3 (95 enodes) 1540196608.304 * * [misc]simplify: iters left: 2 (182 enodes) 1540196608.350 * * [misc]simplify: iters left: 1 (322 enodes) 1540196608.463 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))) 1540196608.463 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1540196608.463 * * * * [misc]progress: [ 686 / 6870 ] simplifiying candidate # 1540196608.464 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1) 1540196608.464 * * [misc]simplify: iters left: 6 (14 enodes) 1540196608.468 * * [misc]simplify: iters left: 5 (23 enodes) 1540196608.474 * * [misc]simplify: iters left: 4 (33 enodes) 1540196608.484 * * [misc]simplify: iters left: 3 (50 enodes) 1540196608.491 * * [misc]simplify: iters left: 2 (69 enodes) 1540196608.500 * * [misc]simplify: iters left: 1 (81 enodes) 1540196608.511 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540196608.511 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196608.511 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196608.511 * * [misc]simplify: iters left: 6 (19 enodes) 1540196608.514 * * [misc]simplify: iters left: 5 (28 enodes) 1540196608.518 * * [misc]simplify: iters left: 4 (47 enodes) 1540196608.524 * * [misc]simplify: iters left: 3 (95 enodes) 1540196608.548 * * [misc]simplify: iters left: 2 (182 enodes) 1540196608.597 * * [misc]simplify: iters left: 1 (322 enodes) 1540196608.762 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))) 1540196608.762 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1540196608.762 * * * * [misc]progress: [ 687 / 6870 ] simplifiying candidate # 1540196608.763 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540196608.763 * * [misc]simplify: iters left: 6 (14 enodes) 1540196608.765 * * [misc]simplify: iters left: 5 (21 enodes) 1540196608.767 * * [misc]simplify: iters left: 4 (31 enodes) 1540196608.771 * * [misc]simplify: iters left: 3 (46 enodes) 1540196608.777 * * [misc]simplify: iters left: 2 (63 enodes) 1540196608.788 * * [misc]simplify: iters left: 1 (80 enodes) 1540196608.809 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540196608.809 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196608.810 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196608.810 * * [misc]simplify: iters left: 6 (19 enodes) 1540196608.815 * * [misc]simplify: iters left: 5 (30 enodes) 1540196608.822 * * [misc]simplify: iters left: 4 (47 enodes) 1540196608.830 * * [misc]simplify: iters left: 3 (99 enodes) 1540196608.848 * * [misc]simplify: iters left: 2 (206 enodes) 1540196608.920 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540196608.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))))) 1540196608.920 * * * * [misc]progress: [ 688 / 6870 ] simplifiying candidate # 1540196608.921 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196608.921 * * [misc]simplify: iters left: 6 (17 enodes) 1540196608.924 * * [misc]simplify: iters left: 5 (27 enodes) 1540196608.928 * * [misc]simplify: iters left: 4 (45 enodes) 1540196608.936 * * [misc]simplify: iters left: 3 (93 enodes) 1540196608.954 * * [misc]simplify: iters left: 2 (180 enodes) 1540196609.031 * * [misc]simplify: iters left: 1 (321 enodes) 1540196609.208 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (sqrt n) (fabs (cbrt (sqrt k))))) 1540196609.208 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (sqrt n) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196609.208 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196609.208 * * [misc]simplify: iters left: 6 (15 enodes) 1540196609.210 * * [misc]simplify: iters left: 5 (21 enodes) 1540196609.213 * * [misc]simplify: iters left: 4 (31 enodes) 1540196609.217 * * [misc]simplify: iters left: 3 (46 enodes) 1540196609.223 * * [misc]simplify: iters left: 2 (63 enodes) 1540196609.232 * * [misc]simplify: iters left: 1 (80 enodes) 1540196609.255 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196609.255 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (sqrt n) (fabs (cbrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196609.255 * * * * [misc]progress: [ 689 / 6870 ] simplifiying candidate # 1540196609.255 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196609.255 * * [misc]simplify: iters left: 6 (21 enodes) 1540196609.261 * * [misc]simplify: iters left: 5 (32 enodes) 1540196609.270 * * [misc]simplify: iters left: 4 (53 enodes) 1540196609.278 * * [misc]simplify: iters left: 3 (88 enodes) 1540196609.293 * * [misc]simplify: iters left: 2 (135 enodes) 1540196609.317 * * [misc]simplify: iters left: 1 (201 enodes) 1540196609.358 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (fabs (cbrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196609.358 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (fabs (cbrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196609.358 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196609.358 * * [misc]simplify: iters left: 6 (20 enodes) 1540196609.361 * * [misc]simplify: iters left: 5 (27 enodes) 1540196609.364 * * [misc]simplify: iters left: 4 (38 enodes) 1540196609.369 * * [misc]simplify: iters left: 3 (53 enodes) 1540196609.376 * * [misc]simplify: iters left: 2 (70 enodes) 1540196609.385 * * [misc]simplify: iters left: 1 (87 enodes) 1540196609.397 * [exit]simplify: Simplified to (/ (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196609.397 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (fabs (cbrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196609.397 * * * * [misc]progress: [ 690 / 6870 ] simplifiying candidate # 1540196609.397 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196609.397 * * [misc]simplify: iters left: 6 (20 enodes) 1540196609.400 * * [misc]simplify: iters left: 5 (29 enodes) 1540196609.404 * * [misc]simplify: iters left: 4 (42 enodes) 1540196609.409 * * [misc]simplify: iters left: 3 (57 enodes) 1540196609.417 * * [misc]simplify: iters left: 2 (74 enodes) 1540196609.427 * * [misc]simplify: iters left: 1 (91 enodes) 1540196609.439 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196609.439 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196609.439 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196609.439 * * [misc]simplify: iters left: 6 (20 enodes) 1540196609.442 * * [misc]simplify: iters left: 5 (27 enodes) 1540196609.445 * * [misc]simplify: iters left: 4 (38 enodes) 1540196609.450 * * [misc]simplify: iters left: 3 (53 enodes) 1540196609.457 * * [misc]simplify: iters left: 2 (70 enodes) 1540196609.466 * * [misc]simplify: iters left: 1 (87 enodes) 1540196609.478 * [exit]simplify: Simplified to (/ (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196609.478 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196609.479 * * * * [misc]progress: [ 691 / 6870 ] simplifiying candidate # 1540196609.479 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196609.479 * * [misc]simplify: iters left: 6 (19 enodes) 1540196609.482 * * [misc]simplify: iters left: 5 (31 enodes) 1540196609.487 * * [misc]simplify: iters left: 4 (59 enodes) 1540196609.498 * * [misc]simplify: iters left: 3 (161 enodes) 1540196609.568 * * [misc]simplify: iters left: 2 (416 enodes) 1540196609.799 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196609.799 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196609.799 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196609.799 * * [misc]simplify: iters left: 6 (18 enodes) 1540196609.802 * * [misc]simplify: iters left: 5 (26 enodes) 1540196609.806 * * [misc]simplify: iters left: 4 (44 enodes) 1540196609.812 * * [misc]simplify: iters left: 3 (92 enodes) 1540196609.829 * * [misc]simplify: iters left: 2 (179 enodes) 1540196609.871 * * [misc]simplify: iters left: 1 (315 enodes) 1540196609.978 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196609.978 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196609.978 * * * * [misc]progress: [ 692 / 6870 ] simplifiying candidate # 1540196609.978 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196609.979 * * [misc]simplify: iters left: 6 (19 enodes) 1540196609.982 * * [misc]simplify: iters left: 5 (31 enodes) 1540196609.987 * * [misc]simplify: iters left: 4 (59 enodes) 1540196610.006 * * [misc]simplify: iters left: 3 (161 enodes) 1540196610.055 * * [misc]simplify: iters left: 2 (416 enodes) 1540196610.268 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196610.268 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196610.268 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196610.269 * * [misc]simplify: iters left: 6 (18 enodes) 1540196610.273 * * [misc]simplify: iters left: 5 (26 enodes) 1540196610.280 * * [misc]simplify: iters left: 4 (44 enodes) 1540196610.286 * * [misc]simplify: iters left: 3 (92 enodes) 1540196610.308 * * [misc]simplify: iters left: 2 (179 enodes) 1540196610.360 * * [misc]simplify: iters left: 1 (315 enodes) 1540196610.482 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196610.482 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196610.482 * * * * [misc]progress: [ 693 / 6870 ] simplifiying candidate # 1540196610.483 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196610.483 * * [misc]simplify: iters left: 6 (23 enodes) 1540196610.489 * * [misc]simplify: iters left: 5 (40 enodes) 1540196610.500 * * [misc]simplify: iters left: 4 (91 enodes) 1540196610.527 * * [misc]simplify: iters left: 3 (263 enodes) 1540196610.691 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196610.692 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196610.692 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196610.692 * * [misc]simplify: iters left: 6 (21 enodes) 1540196610.695 * * [misc]simplify: iters left: 5 (30 enodes) 1540196610.699 * * [misc]simplify: iters left: 4 (49 enodes) 1540196610.715 * * [misc]simplify: iters left: 3 (97 enodes) 1540196610.740 * * [misc]simplify: iters left: 2 (184 enodes) 1540196610.785 * * [misc]simplify: iters left: 1 (320 enodes) 1540196610.954 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196610.954 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196610.954 * * * * [misc]progress: [ 694 / 6870 ] simplifiying candidate # 1540196610.954 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196610.954 * * [misc]simplify: iters left: 6 (22 enodes) 1540196610.958 * * [misc]simplify: iters left: 5 (35 enodes) 1540196610.962 * * [misc]simplify: iters left: 4 (66 enodes) 1540196610.975 * * [misc]simplify: iters left: 3 (168 enodes) 1540196611.020 * * [misc]simplify: iters left: 2 (418 enodes) 1540196611.259 * [exit]simplify: Simplified to (* (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196611.260 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196611.260 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196611.260 * * [misc]simplify: iters left: 6 (21 enodes) 1540196611.263 * * [misc]simplify: iters left: 5 (30 enodes) 1540196611.267 * * [misc]simplify: iters left: 4 (49 enodes) 1540196611.274 * * [misc]simplify: iters left: 3 (97 enodes) 1540196611.292 * * [misc]simplify: iters left: 2 (184 enodes) 1540196611.355 * * [misc]simplify: iters left: 1 (320 enodes) 1540196611.479 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196611.479 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196611.479 * * * * [misc]progress: [ 695 / 6870 ] simplifiying candidate # 1540196611.480 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196611.480 * * [misc]simplify: iters left: 6 (18 enodes) 1540196611.482 * * [misc]simplify: iters left: 5 (31 enodes) 1540196611.487 * * [misc]simplify: iters left: 4 (59 enodes) 1540196611.497 * * [misc]simplify: iters left: 3 (114 enodes) 1540196611.520 * * [misc]simplify: iters left: 2 (310 enodes) 1540196611.696 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196611.696 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196611.696 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196611.697 * * [misc]simplify: iters left: 6 (20 enodes) 1540196611.702 * * [misc]simplify: iters left: 5 (29 enodes) 1540196611.710 * * [misc]simplify: iters left: 4 (48 enodes) 1540196611.724 * * [misc]simplify: iters left: 3 (96 enodes) 1540196611.758 * * [misc]simplify: iters left: 2 (183 enodes) 1540196611.815 * * [misc]simplify: iters left: 1 (325 enodes) 1540196611.961 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540196611.961 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1540196611.962 * * * * [misc]progress: [ 696 / 6870 ] simplifiying candidate # 1540196611.962 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196611.962 * * [misc]simplify: iters left: 6 (16 enodes) 1540196611.965 * * [misc]simplify: iters left: 5 (26 enodes) 1540196611.969 * * [misc]simplify: iters left: 4 (43 enodes) 1540196611.976 * * [misc]simplify: iters left: 3 (88 enodes) 1540196611.996 * * [misc]simplify: iters left: 2 (153 enodes) 1540196612.059 * * [misc]simplify: iters left: 1 (250 enodes) 1540196612.168 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) 1540196612.168 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196612.168 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196612.168 * * [misc]simplify: iters left: 6 (16 enodes) 1540196612.171 * * [misc]simplify: iters left: 5 (24 enodes) 1540196612.174 * * [misc]simplify: iters left: 4 (41 enodes) 1540196612.181 * * [misc]simplify: iters left: 3 (86 enodes) 1540196612.197 * * [misc]simplify: iters left: 2 (151 enodes) 1540196612.245 * * [misc]simplify: iters left: 1 (234 enodes) 1540196612.342 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196612.342 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196612.342 * * * * [misc]progress: [ 697 / 6870 ] simplifiying candidate # 1540196612.342 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196612.342 * * [misc]simplify: iters left: 6 (16 enodes) 1540196612.346 * * [misc]simplify: iters left: 5 (26 enodes) 1540196612.350 * * [misc]simplify: iters left: 4 (43 enodes) 1540196612.358 * * [misc]simplify: iters left: 3 (88 enodes) 1540196612.382 * * [misc]simplify: iters left: 2 (153 enodes) 1540196612.453 * * [misc]simplify: iters left: 1 (250 enodes) 1540196612.579 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) 1540196612.579 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196612.580 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196612.580 * * [misc]simplify: iters left: 6 (16 enodes) 1540196612.584 * * [misc]simplify: iters left: 5 (24 enodes) 1540196612.591 * * [misc]simplify: iters left: 4 (41 enodes) 1540196612.604 * * [misc]simplify: iters left: 3 (86 enodes) 1540196612.635 * * [misc]simplify: iters left: 2 (151 enodes) 1540196612.681 * * [misc]simplify: iters left: 1 (234 enodes) 1540196612.754 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196612.754 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt 2))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196612.754 * * * * [misc]progress: [ 698 / 6870 ] simplifiying candidate # 1540196612.754 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196612.754 * * [misc]simplify: iters left: 6 (20 enodes) 1540196612.757 * * [misc]simplify: iters left: 5 (33 enodes) 1540196612.762 * * [misc]simplify: iters left: 4 (59 enodes) 1540196612.772 * * [misc]simplify: iters left: 3 (135 enodes) 1540196612.826 * * [misc]simplify: iters left: 2 (300 enodes) 1540196612.950 * [exit]simplify: Simplified to (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt n) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196612.950 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt n) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196612.951 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196612.951 * * [misc]simplify: iters left: 6 (19 enodes) 1540196612.953 * * [misc]simplify: iters left: 5 (28 enodes) 1540196612.957 * * [misc]simplify: iters left: 4 (46 enodes) 1540196612.964 * * [misc]simplify: iters left: 3 (91 enodes) 1540196612.992 * * [misc]simplify: iters left: 2 (156 enodes) 1540196613.029 * * [misc]simplify: iters left: 1 (236 enodes) 1540196613.084 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196613.084 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt n) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196613.084 * * * * [misc]progress: [ 699 / 6870 ] simplifiying candidate # 1540196613.084 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196613.084 * * [misc]simplify: iters left: 6 (19 enodes) 1540196613.087 * * [misc]simplify: iters left: 5 (30 enodes) 1540196613.091 * * [misc]simplify: iters left: 4 (50 enodes) 1540196613.100 * * [misc]simplify: iters left: 3 (95 enodes) 1540196613.128 * * [misc]simplify: iters left: 2 (160 enodes) 1540196613.163 * * [misc]simplify: iters left: 1 (256 enodes) 1540196613.271 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196613.271 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196613.272 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196613.272 * * [misc]simplify: iters left: 6 (19 enodes) 1540196613.279 * * [misc]simplify: iters left: 5 (28 enodes) 1540196613.287 * * [misc]simplify: iters left: 4 (46 enodes) 1540196613.301 * * [misc]simplify: iters left: 3 (91 enodes) 1540196613.333 * * [misc]simplify: iters left: 2 (156 enodes) 1540196613.397 * * [misc]simplify: iters left: 1 (236 enodes) 1540196613.469 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196613.469 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196613.470 * * * * [misc]progress: [ 700 / 6870 ] simplifiying candidate # 1540196613.470 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196613.470 * * [misc]simplify: iters left: 6 (15 enodes) 1540196613.472 * * [misc]simplify: iters left: 5 (25 enodes) 1540196613.476 * * [misc]simplify: iters left: 4 (42 enodes) 1540196613.483 * * [misc]simplify: iters left: 3 (71 enodes) 1540196613.498 * * [misc]simplify: iters left: 2 (138 enodes) 1540196613.533 * * [misc]simplify: iters left: 1 (249 enodes) 1540196613.635 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) 1540196613.635 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196613.635 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196613.635 * * [misc]simplify: iters left: 6 (18 enodes) 1540196613.638 * * [misc]simplify: iters left: 5 (27 enodes) 1540196613.642 * * [misc]simplify: iters left: 4 (45 enodes) 1540196613.649 * * [misc]simplify: iters left: 3 (90 enodes) 1540196613.665 * * [misc]simplify: iters left: 2 (155 enodes) 1540196613.699 * * [misc]simplify: iters left: 1 (239 enodes) 1540196613.760 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196613.760 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196613.760 * * * * [misc]progress: [ 701 / 6870 ] simplifiying candidate # 1540196613.761 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196613.761 * * [misc]simplify: iters left: 6 (18 enodes) 1540196613.764 * * [misc]simplify: iters left: 5 (28 enodes) 1540196613.769 * * [misc]simplify: iters left: 4 (46 enodes) 1540196613.776 * * [misc]simplify: iters left: 3 (94 enodes) 1540196613.794 * * [misc]simplify: iters left: 2 (181 enodes) 1540196613.837 * * [misc]simplify: iters left: 1 (326 enodes) 1540196613.964 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540196613.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196613.964 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196613.964 * * [misc]simplify: iters left: 6 (18 enodes) 1540196613.966 * * [misc]simplify: iters left: 5 (26 enodes) 1540196613.970 * * [misc]simplify: iters left: 4 (44 enodes) 1540196613.976 * * [misc]simplify: iters left: 3 (92 enodes) 1540196613.993 * * [misc]simplify: iters left: 2 (179 enodes) 1540196614.034 * * [misc]simplify: iters left: 1 (315 enodes) 1540196614.142 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196614.142 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196614.142 * * * * [misc]progress: [ 702 / 6870 ] simplifiying candidate # 1540196614.142 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196614.142 * * [misc]simplify: iters left: 6 (18 enodes) 1540196614.145 * * [misc]simplify: iters left: 5 (28 enodes) 1540196614.149 * * [misc]simplify: iters left: 4 (46 enodes) 1540196614.157 * * [misc]simplify: iters left: 3 (94 enodes) 1540196614.175 * * [misc]simplify: iters left: 2 (181 enodes) 1540196614.219 * * [misc]simplify: iters left: 1 (326 enodes) 1540196614.331 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540196614.331 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196614.331 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196614.331 * * [misc]simplify: iters left: 6 (18 enodes) 1540196614.334 * * [misc]simplify: iters left: 5 (26 enodes) 1540196614.338 * * [misc]simplify: iters left: 4 (44 enodes) 1540196614.350 * * [misc]simplify: iters left: 3 (92 enodes) 1540196614.373 * * [misc]simplify: iters left: 2 (179 enodes) 1540196614.414 * * [misc]simplify: iters left: 1 (315 enodes) 1540196614.526 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196614.526 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196614.527 * * * * [misc]progress: [ 703 / 6870 ] simplifiying candidate # 1540196614.527 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196614.527 * * [misc]simplify: iters left: 6 (22 enodes) 1540196614.530 * * [misc]simplify: iters left: 5 (35 enodes) 1540196614.535 * * [misc]simplify: iters left: 4 (62 enodes) 1540196614.545 * * [misc]simplify: iters left: 3 (141 enodes) 1540196614.581 * * [misc]simplify: iters left: 2 (337 enodes) 1540196614.769 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196614.769 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196614.769 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196614.769 * * [misc]simplify: iters left: 6 (21 enodes) 1540196614.772 * * [misc]simplify: iters left: 5 (30 enodes) 1540196614.776 * * [misc]simplify: iters left: 4 (49 enodes) 1540196614.784 * * [misc]simplify: iters left: 3 (97 enodes) 1540196614.821 * * [misc]simplify: iters left: 2 (184 enodes) 1540196614.875 * * [misc]simplify: iters left: 1 (320 enodes) 1540196615.023 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196615.023 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196615.023 * * * * [misc]progress: [ 704 / 6870 ] simplifiying candidate # 1540196615.024 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196615.024 * * [misc]simplify: iters left: 6 (21 enodes) 1540196615.030 * * [misc]simplify: iters left: 5 (32 enodes) 1540196615.035 * * [misc]simplify: iters left: 4 (53 enodes) 1540196615.043 * * [misc]simplify: iters left: 3 (101 enodes) 1540196615.065 * * [misc]simplify: iters left: 2 (188 enodes) 1540196615.116 * * [misc]simplify: iters left: 1 (324 enodes) 1540196615.268 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) 1540196615.269 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196615.269 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196615.269 * * [misc]simplify: iters left: 6 (21 enodes) 1540196615.272 * * [misc]simplify: iters left: 5 (30 enodes) 1540196615.276 * * [misc]simplify: iters left: 4 (49 enodes) 1540196615.283 * * [misc]simplify: iters left: 3 (97 enodes) 1540196615.301 * * [misc]simplify: iters left: 2 (184 enodes) 1540196615.344 * * [misc]simplify: iters left: 1 (320 enodes) 1540196615.464 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196615.464 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196615.464 * * * * [misc]progress: [ 705 / 6870 ] simplifiying candidate # 1540196615.464 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196615.465 * * [misc]simplify: iters left: 6 (17 enodes) 1540196615.469 * * [misc]simplify: iters left: 5 (28 enodes) 1540196615.477 * * [misc]simplify: iters left: 4 (48 enodes) 1540196615.485 * * [misc]simplify: iters left: 3 (74 enodes) 1540196615.495 * * [misc]simplify: iters left: 2 (131 enodes) 1540196615.530 * * [misc]simplify: iters left: 1 (235 enodes) 1540196615.595 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540196615.595 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196615.596 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196615.596 * * [misc]simplify: iters left: 6 (20 enodes) 1540196615.598 * * [misc]simplify: iters left: 5 (29 enodes) 1540196615.602 * * [misc]simplify: iters left: 4 (48 enodes) 1540196615.609 * * [misc]simplify: iters left: 3 (96 enodes) 1540196615.627 * * [misc]simplify: iters left: 2 (183 enodes) 1540196615.669 * * [misc]simplify: iters left: 1 (325 enodes) 1540196615.780 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540196615.780 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1540196615.780 * * * * [misc]progress: [ 706 / 6870 ] simplifiying candidate # 1540196615.781 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196615.781 * * [misc]simplify: iters left: 6 (18 enodes) 1540196615.784 * * [misc]simplify: iters left: 5 (30 enodes) 1540196615.788 * * [misc]simplify: iters left: 4 (50 enodes) 1540196615.797 * * [misc]simplify: iters left: 3 (117 enodes) 1540196615.823 * * [misc]simplify: iters left: 2 (262 enodes) 1540196615.954 * * [misc]simplify: iters left: 1 (425 enodes) 1540196616.121 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540196616.121 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196616.121 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196616.121 * * [misc]simplify: iters left: 6 (17 enodes) 1540196616.123 * * [misc]simplify: iters left: 5 (25 enodes) 1540196616.127 * * [misc]simplify: iters left: 4 (43 enodes) 1540196616.133 * * [misc]simplify: iters left: 3 (91 enodes) 1540196616.152 * * [misc]simplify: iters left: 2 (178 enodes) 1540196616.191 * * [misc]simplify: iters left: 1 (319 enodes) 1540196616.297 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540196616.297 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))))) 1540196616.297 * * * * [misc]progress: [ 707 / 6870 ] simplifiying candidate # 1540196616.297 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196616.297 * * [misc]simplify: iters left: 6 (18 enodes) 1540196616.301 * * [misc]simplify: iters left: 5 (30 enodes) 1540196616.305 * * [misc]simplify: iters left: 4 (50 enodes) 1540196616.314 * * [misc]simplify: iters left: 3 (117 enodes) 1540196616.341 * * [misc]simplify: iters left: 2 (262 enodes) 1540196616.440 * * [misc]simplify: iters left: 1 (425 enodes) 1540196616.569 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540196616.569 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196616.570 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196616.570 * * [misc]simplify: iters left: 6 (17 enodes) 1540196616.572 * * [misc]simplify: iters left: 5 (25 enodes) 1540196616.575 * * [misc]simplify: iters left: 4 (43 enodes) 1540196616.582 * * [misc]simplify: iters left: 3 (91 enodes) 1540196616.600 * * [misc]simplify: iters left: 2 (178 enodes) 1540196616.639 * * [misc]simplify: iters left: 1 (319 enodes) 1540196616.745 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540196616.745 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))))) 1540196616.745 * * * * [misc]progress: [ 708 / 6870 ] simplifiying candidate # 1540196616.745 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196616.745 * * [misc]simplify: iters left: 6 (22 enodes) 1540196616.749 * * [misc]simplify: iters left: 5 (37 enodes) 1540196616.754 * * [misc]simplify: iters left: 4 (67 enodes) 1540196616.768 * * [misc]simplify: iters left: 3 (178 enodes) 1540196616.814 * * [misc]simplify: iters left: 2 (453 enodes) 1540196617.075 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) 1540196617.075 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196617.075 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196617.075 * * [misc]simplify: iters left: 6 (20 enodes) 1540196617.078 * * [misc]simplify: iters left: 5 (29 enodes) 1540196617.082 * * [misc]simplify: iters left: 4 (48 enodes) 1540196617.089 * * [misc]simplify: iters left: 3 (96 enodes) 1540196617.109 * * [misc]simplify: iters left: 2 (183 enodes) 1540196617.148 * * [misc]simplify: iters left: 1 (325 enodes) 1540196617.260 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) 1540196617.260 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))))) 1540196617.260 * * * * [misc]progress: [ 709 / 6870 ] simplifiying candidate # 1540196617.260 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196617.260 * * [misc]simplify: iters left: 6 (21 enodes) 1540196617.264 * * [misc]simplify: iters left: 5 (34 enodes) 1540196617.268 * * [misc]simplify: iters left: 4 (57 enodes) 1540196617.277 * * [misc]simplify: iters left: 3 (120 enodes) 1540196617.304 * * [misc]simplify: iters left: 2 (263 enodes) 1540196617.425 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196617.425 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196617.426 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196617.426 * * [misc]simplify: iters left: 6 (20 enodes) 1540196617.428 * * [misc]simplify: iters left: 5 (29 enodes) 1540196617.433 * * [misc]simplify: iters left: 4 (48 enodes) 1540196617.440 * * [misc]simplify: iters left: 3 (96 enodes) 1540196617.459 * * [misc]simplify: iters left: 2 (183 enodes) 1540196617.500 * * [misc]simplify: iters left: 1 (325 enodes) 1540196617.640 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) 1540196617.640 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))))) 1540196617.640 * * * * [misc]progress: [ 710 / 6870 ] simplifiying candidate # 1540196617.640 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196617.640 * * [misc]simplify: iters left: 6 (16 enodes) 1540196617.643 * * [misc]simplify: iters left: 5 (27 enodes) 1540196617.647 * * [misc]simplify: iters left: 4 (35 enodes) 1540196617.652 * * [misc]simplify: iters left: 3 (57 enodes) 1540196617.661 * * [misc]simplify: iters left: 2 (86 enodes) 1540196617.692 * * [misc]simplify: iters left: 1 (142 enodes) 1540196617.741 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540196617.741 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196617.741 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196617.741 * * [misc]simplify: iters left: 6 (19 enodes) 1540196617.744 * * [misc]simplify: iters left: 5 (28 enodes) 1540196617.748 * * [misc]simplify: iters left: 4 (47 enodes) 1540196617.758 * * [misc]simplify: iters left: 3 (95 enodes) 1540196617.778 * * [misc]simplify: iters left: 2 (182 enodes) 1540196617.845 * * [misc]simplify: iters left: 1 (322 enodes) 1540196618.004 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))) 1540196618.004 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1540196618.004 * * * * [misc]progress: [ 711 / 6870 ] simplifiying candidate # 1540196618.004 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196618.004 * * [misc]simplify: iters left: 6 (18 enodes) 1540196618.007 * * [misc]simplify: iters left: 5 (28 enodes) 1540196618.012 * * [misc]simplify: iters left: 4 (46 enodes) 1540196618.019 * * [misc]simplify: iters left: 3 (94 enodes) 1540196618.037 * * [misc]simplify: iters left: 2 (181 enodes) 1540196618.080 * * [misc]simplify: iters left: 1 (326 enodes) 1540196618.233 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540196618.233 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196618.233 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196618.233 * * [misc]simplify: iters left: 6 (18 enodes) 1540196618.236 * * [misc]simplify: iters left: 5 (26 enodes) 1540196618.240 * * [misc]simplify: iters left: 4 (44 enodes) 1540196618.246 * * [misc]simplify: iters left: 3 (92 enodes) 1540196618.263 * * [misc]simplify: iters left: 2 (179 enodes) 1540196618.305 * * [misc]simplify: iters left: 1 (315 enodes) 1540196618.469 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196618.470 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196618.470 * * * * [misc]progress: [ 712 / 6870 ] simplifiying candidate # 1540196618.470 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196618.470 * * [misc]simplify: iters left: 6 (18 enodes) 1540196618.473 * * [misc]simplify: iters left: 5 (28 enodes) 1540196618.477 * * [misc]simplify: iters left: 4 (46 enodes) 1540196618.485 * * [misc]simplify: iters left: 3 (94 enodes) 1540196618.516 * * [misc]simplify: iters left: 2 (181 enodes) 1540196618.591 * * [misc]simplify: iters left: 1 (326 enodes) 1540196618.726 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) 1540196618.726 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196618.726 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196618.726 * * [misc]simplify: iters left: 6 (18 enodes) 1540196618.728 * * [misc]simplify: iters left: 5 (26 enodes) 1540196618.732 * * [misc]simplify: iters left: 4 (44 enodes) 1540196618.739 * * [misc]simplify: iters left: 3 (92 enodes) 1540196618.760 * * [misc]simplify: iters left: 2 (179 enodes) 1540196618.805 * * [misc]simplify: iters left: 1 (315 enodes) 1540196618.914 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196618.914 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196618.914 * * * * [misc]progress: [ 713 / 6870 ] simplifiying candidate # 1540196618.914 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196618.914 * * [misc]simplify: iters left: 6 (22 enodes) 1540196618.917 * * [misc]simplify: iters left: 5 (35 enodes) 1540196618.922 * * [misc]simplify: iters left: 4 (62 enodes) 1540196618.936 * * [misc]simplify: iters left: 3 (141 enodes) 1540196618.981 * * [misc]simplify: iters left: 2 (337 enodes) 1540196619.138 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196619.138 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196619.139 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196619.139 * * [misc]simplify: iters left: 6 (21 enodes) 1540196619.144 * * [misc]simplify: iters left: 5 (30 enodes) 1540196619.152 * * [misc]simplify: iters left: 4 (49 enodes) 1540196619.159 * * [misc]simplify: iters left: 3 (97 enodes) 1540196619.179 * * [misc]simplify: iters left: 2 (184 enodes) 1540196619.218 * * [misc]simplify: iters left: 1 (320 enodes) 1540196619.340 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196619.340 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196619.340 * * * * [misc]progress: [ 714 / 6870 ] simplifiying candidate # 1540196619.341 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196619.341 * * [misc]simplify: iters left: 6 (21 enodes) 1540196619.344 * * [misc]simplify: iters left: 5 (32 enodes) 1540196619.348 * * [misc]simplify: iters left: 4 (53 enodes) 1540196619.356 * * [misc]simplify: iters left: 3 (101 enodes) 1540196619.382 * * [misc]simplify: iters left: 2 (188 enodes) 1540196619.444 * * [misc]simplify: iters left: 1 (324 enodes) 1540196619.613 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) 1540196619.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196619.613 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196619.613 * * [misc]simplify: iters left: 6 (21 enodes) 1540196619.618 * * [misc]simplify: iters left: 5 (30 enodes) 1540196619.626 * * [misc]simplify: iters left: 4 (49 enodes) 1540196619.635 * * [misc]simplify: iters left: 3 (97 enodes) 1540196619.653 * * [misc]simplify: iters left: 2 (184 enodes) 1540196619.704 * * [misc]simplify: iters left: 1 (320 enodes) 1540196619.845 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196619.845 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (sqrt PI) (sqrt n))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196619.845 * * * * [misc]progress: [ 715 / 6870 ] simplifiying candidate # 1540196619.845 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196619.846 * * [misc]simplify: iters left: 6 (17 enodes) 1540196619.850 * * [misc]simplify: iters left: 5 (28 enodes) 1540196619.857 * * [misc]simplify: iters left: 4 (48 enodes) 1540196619.870 * * [misc]simplify: iters left: 3 (74 enodes) 1540196619.883 * * [misc]simplify: iters left: 2 (131 enodes) 1540196619.927 * * [misc]simplify: iters left: 1 (235 enodes) 1540196619.992 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) 1540196619.992 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196619.992 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196619.992 * * [misc]simplify: iters left: 6 (20 enodes) 1540196619.995 * * [misc]simplify: iters left: 5 (29 enodes) 1540196619.999 * * [misc]simplify: iters left: 4 (48 enodes) 1540196620.006 * * [misc]simplify: iters left: 3 (96 enodes) 1540196620.027 * * [misc]simplify: iters left: 2 (183 enodes) 1540196620.072 * * [misc]simplify: iters left: 1 (325 enodes) 1540196620.183 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540196620.184 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt n))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1540196620.184 * * * * [misc]progress: [ 716 / 6870 ] simplifiying candidate # 1540196620.184 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196620.184 * * [misc]simplify: iters left: 6 (17 enodes) 1540196620.189 * * [misc]simplify: iters left: 5 (29 enodes) 1540196620.193 * * [misc]simplify: iters left: 4 (45 enodes) 1540196620.201 * * [misc]simplify: iters left: 3 (97 enodes) 1540196620.229 * * [misc]simplify: iters left: 2 (182 enodes) 1540196620.320 * * [misc]simplify: iters left: 1 (313 enodes) 1540196620.473 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540196620.473 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196620.473 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196620.473 * * [misc]simplify: iters left: 6 (17 enodes) 1540196620.478 * * [misc]simplify: iters left: 5 (25 enodes) 1540196620.485 * * [misc]simplify: iters left: 4 (43 enodes) 1540196620.499 * * [misc]simplify: iters left: 3 (91 enodes) 1540196620.520 * * [misc]simplify: iters left: 2 (178 enodes) 1540196620.577 * * [misc]simplify: iters left: 1 (319 enodes) 1540196620.724 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540196620.724 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))))) 1540196620.724 * * * * [misc]progress: [ 717 / 6870 ] simplifiying candidate # 1540196620.724 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196620.724 * * [misc]simplify: iters left: 6 (17 enodes) 1540196620.727 * * [misc]simplify: iters left: 5 (29 enodes) 1540196620.731 * * [misc]simplify: iters left: 4 (45 enodes) 1540196620.742 * * [misc]simplify: iters left: 3 (97 enodes) 1540196620.778 * * [misc]simplify: iters left: 2 (182 enodes) 1540196620.844 * * [misc]simplify: iters left: 1 (313 enodes) 1540196620.955 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540196620.955 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196620.955 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196620.956 * * [misc]simplify: iters left: 6 (17 enodes) 1540196620.958 * * [misc]simplify: iters left: 5 (25 enodes) 1540196620.961 * * [misc]simplify: iters left: 4 (43 enodes) 1540196620.968 * * [misc]simplify: iters left: 3 (91 enodes) 1540196620.985 * * [misc]simplify: iters left: 2 (178 enodes) 1540196621.035 * * [misc]simplify: iters left: 1 (319 enodes) 1540196621.171 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))) 1540196621.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (fabs (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k))))))) 1540196621.172 * * * * [misc]progress: [ 718 / 6870 ] simplifiying candidate # 1540196621.172 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196621.172 * * [misc]simplify: iters left: 6 (21 enodes) 1540196621.177 * * [misc]simplify: iters left: 5 (36 enodes) 1540196621.187 * * [misc]simplify: iters left: 4 (61 enodes) 1540196621.206 * * [misc]simplify: iters left: 3 (155 enodes) 1540196621.269 * * [misc]simplify: iters left: 2 (370 enodes) 1540196621.562 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196621.563 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196621.563 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196621.563 * * [misc]simplify: iters left: 6 (20 enodes) 1540196621.566 * * [misc]simplify: iters left: 5 (29 enodes) 1540196621.569 * * [misc]simplify: iters left: 4 (48 enodes) 1540196621.579 * * [misc]simplify: iters left: 3 (96 enodes) 1540196621.596 * * [misc]simplify: iters left: 2 (183 enodes) 1540196621.637 * * [misc]simplify: iters left: 1 (325 enodes) 1540196621.747 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) 1540196621.747 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))))) 1540196621.747 * * * * [misc]progress: [ 719 / 6870 ] simplifiying candidate # 1540196621.747 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196621.748 * * [misc]simplify: iters left: 6 (20 enodes) 1540196621.750 * * [misc]simplify: iters left: 5 (33 enodes) 1540196621.755 * * [misc]simplify: iters left: 4 (52 enodes) 1540196621.764 * * [misc]simplify: iters left: 3 (104 enodes) 1540196621.781 * * [misc]simplify: iters left: 2 (189 enodes) 1540196621.835 * * [misc]simplify: iters left: 1 (392 enodes) 1540196622.034 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196622.034 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196622.035 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196622.035 * * [misc]simplify: iters left: 6 (20 enodes) 1540196622.037 * * [misc]simplify: iters left: 5 (29 enodes) 1540196622.041 * * [misc]simplify: iters left: 4 (48 enodes) 1540196622.048 * * [misc]simplify: iters left: 3 (96 enodes) 1540196622.067 * * [misc]simplify: iters left: 2 (183 enodes) 1540196622.107 * * [misc]simplify: iters left: 1 (325 enodes) 1540196622.248 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))) 1540196622.248 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (cbrt (sqrt k))))))) 1540196622.249 * * * * [misc]progress: [ 720 / 6870 ] simplifiying candidate # 1540196622.249 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540196622.249 * * [misc]simplify: iters left: 6 (15 enodes) 1540196622.253 * * [misc]simplify: iters left: 5 (24 enodes) 1540196622.258 * * [misc]simplify: iters left: 4 (32 enodes) 1540196622.265 * * [misc]simplify: iters left: 3 (45 enodes) 1540196622.274 * * [misc]simplify: iters left: 2 (59 enodes) 1540196622.288 * * [misc]simplify: iters left: 1 (75 enodes) 1540196622.304 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540196622.304 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196622.304 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196622.304 * * [misc]simplify: iters left: 6 (19 enodes) 1540196622.309 * * [misc]simplify: iters left: 5 (28 enodes) 1540196622.316 * * [misc]simplify: iters left: 4 (47 enodes) 1540196622.328 * * [misc]simplify: iters left: 3 (95 enodes) 1540196622.355 * * [misc]simplify: iters left: 2 (182 enodes) 1540196622.396 * * [misc]simplify: iters left: 1 (322 enodes) 1540196622.503 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))) 1540196622.504 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1540196622.504 * * * * [misc]progress: [ 721 / 6870 ] simplifiying candidate # 1540196622.504 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) 1) 1540196622.504 * * [misc]simplify: iters left: 6 (14 enodes) 1540196622.506 * * [misc]simplify: iters left: 5 (23 enodes) 1540196622.509 * * [misc]simplify: iters left: 4 (33 enodes) 1540196622.514 * * [misc]simplify: iters left: 3 (50 enodes) 1540196622.520 * * [misc]simplify: iters left: 2 (69 enodes) 1540196622.530 * * [misc]simplify: iters left: 1 (81 enodes) 1540196622.540 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540196622.540 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196622.540 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196622.540 * * [misc]simplify: iters left: 6 (19 enodes) 1540196622.543 * * [misc]simplify: iters left: 5 (28 enodes) 1540196622.546 * * [misc]simplify: iters left: 4 (47 enodes) 1540196622.553 * * [misc]simplify: iters left: 3 (95 enodes) 1540196622.572 * * [misc]simplify: iters left: 2 (182 enodes) 1540196622.611 * * [misc]simplify: iters left: 1 (322 enodes) 1540196622.718 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))) 1540196622.718 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1540196622.718 * * * * [misc]progress: [ 722 / 6870 ] simplifiying candidate # 1540196622.718 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540196622.718 * * [misc]simplify: iters left: 6 (14 enodes) 1540196622.720 * * [misc]simplify: iters left: 5 (21 enodes) 1540196622.723 * * [misc]simplify: iters left: 4 (31 enodes) 1540196622.727 * * [misc]simplify: iters left: 3 (46 enodes) 1540196622.733 * * [misc]simplify: iters left: 2 (63 enodes) 1540196622.742 * * [misc]simplify: iters left: 1 (80 enodes) 1540196622.753 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540196622.753 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196622.753 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196622.753 * * [misc]simplify: iters left: 6 (19 enodes) 1540196622.756 * * [misc]simplify: iters left: 5 (30 enodes) 1540196622.760 * * [misc]simplify: iters left: 4 (47 enodes) 1540196622.767 * * [misc]simplify: iters left: 3 (99 enodes) 1540196622.789 * * [misc]simplify: iters left: 2 (206 enodes) 1540196622.892 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540196622.892 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))))) 1540196622.892 * * * * [misc]progress: [ 723 / 6870 ] simplifiying candidate # 1540196622.892 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196622.893 * * [misc]simplify: iters left: 6 (17 enodes) 1540196622.898 * * [misc]simplify: iters left: 5 (27 enodes) 1540196622.905 * * [misc]simplify: iters left: 4 (45 enodes) 1540196622.918 * * [misc]simplify: iters left: 3 (93 enodes) 1540196622.951 * * [misc]simplify: iters left: 2 (180 enodes) 1540196623.019 * * [misc]simplify: iters left: 1 (321 enodes) 1540196623.200 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (sqrt n) (fabs (cbrt (sqrt k))))) 1540196623.200 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (sqrt n) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196623.200 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196623.200 * * [misc]simplify: iters left: 6 (15 enodes) 1540196623.202 * * [misc]simplify: iters left: 5 (21 enodes) 1540196623.205 * * [misc]simplify: iters left: 4 (31 enodes) 1540196623.209 * * [misc]simplify: iters left: 3 (46 enodes) 1540196623.215 * * [misc]simplify: iters left: 2 (63 enodes) 1540196623.224 * * [misc]simplify: iters left: 1 (80 enodes) 1540196623.237 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196623.237 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (sqrt n) (fabs (cbrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196623.237 * * * * [misc]progress: [ 724 / 6870 ] simplifiying candidate # 1540196623.237 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196623.237 * * [misc]simplify: iters left: 6 (23 enodes) 1540196623.240 * * [misc]simplify: iters left: 5 (35 enodes) 1540196623.245 * * [misc]simplify: iters left: 4 (60 enodes) 1540196623.254 * * [misc]simplify: iters left: 3 (125 enodes) 1540196623.283 * * [misc]simplify: iters left: 2 (253 enodes) 1540196623.411 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))))) 1540196623.411 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196623.412 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196623.412 * * [misc]simplify: iters left: 6 (21 enodes) 1540196623.418 * * [misc]simplify: iters left: 5 (28 enodes) 1540196623.426 * * [misc]simplify: iters left: 4 (39 enodes) 1540196623.436 * * [misc]simplify: iters left: 3 (54 enodes) 1540196623.451 * * [misc]simplify: iters left: 2 (71 enodes) 1540196623.471 * * [misc]simplify: iters left: 1 (88 enodes) 1540196623.495 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196623.495 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196623.495 * * * * [misc]progress: [ 725 / 6870 ] simplifiying candidate # 1540196623.496 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196623.496 * * [misc]simplify: iters left: 6 (22 enodes) 1540196623.502 * * [misc]simplify: iters left: 5 (32 enodes) 1540196623.511 * * [misc]simplify: iters left: 4 (49 enodes) 1540196623.527 * * [misc]simplify: iters left: 3 (83 enodes) 1540196623.552 * * [misc]simplify: iters left: 2 (136 enodes) 1540196623.578 * * [misc]simplify: iters left: 1 (207 enodes) 1540196623.673 * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (sqrt PI)) (/ (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196623.674 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (sqrt PI)) (/ (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196623.674 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196623.674 * * [misc]simplify: iters left: 6 (21 enodes) 1540196623.680 * * [misc]simplify: iters left: 5 (28 enodes) 1540196623.687 * * [misc]simplify: iters left: 4 (39 enodes) 1540196623.698 * * [misc]simplify: iters left: 3 (54 enodes) 1540196623.711 * * [misc]simplify: iters left: 2 (71 enodes) 1540196623.730 * * [misc]simplify: iters left: 1 (88 enodes) 1540196623.755 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196623.755 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (sqrt PI)) (/ (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196623.755 * * * * [misc]progress: [ 726 / 6870 ] simplifiying candidate # 1540196623.755 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196623.756 * * [misc]simplify: iters left: 6 (23 enodes) 1540196623.763 * * [misc]simplify: iters left: 5 (38 enodes) 1540196623.769 * * [misc]simplify: iters left: 4 (73 enodes) 1540196623.784 * * [misc]simplify: iters left: 3 (218 enodes) 1540196623.874 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))))) 1540196623.874 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196623.874 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196623.875 * * [misc]simplify: iters left: 6 (21 enodes) 1540196623.877 * * [misc]simplify: iters left: 5 (30 enodes) 1540196623.882 * * [misc]simplify: iters left: 4 (49 enodes) 1540196623.891 * * [misc]simplify: iters left: 3 (97 enodes) 1540196623.909 * * [misc]simplify: iters left: 2 (184 enodes) 1540196623.959 * * [misc]simplify: iters left: 1 (323 enodes) 1540196624.066 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196624.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196624.066 * * * * [misc]progress: [ 727 / 6870 ] simplifiying candidate # 1540196624.067 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196624.067 * * [misc]simplify: iters left: 6 (23 enodes) 1540196624.071 * * [misc]simplify: iters left: 5 (38 enodes) 1540196624.076 * * [misc]simplify: iters left: 4 (73 enodes) 1540196624.093 * * [misc]simplify: iters left: 3 (218 enodes) 1540196624.181 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))))) 1540196624.182 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196624.182 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196624.182 * * [misc]simplify: iters left: 6 (21 enodes) 1540196624.185 * * [misc]simplify: iters left: 5 (30 enodes) 1540196624.189 * * [misc]simplify: iters left: 4 (49 enodes) 1540196624.196 * * [misc]simplify: iters left: 3 (97 enodes) 1540196624.215 * * [misc]simplify: iters left: 2 (184 enodes) 1540196624.255 * * [misc]simplify: iters left: 1 (323 enodes) 1540196624.362 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196624.362 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196624.362 * * * * [misc]progress: [ 728 / 6870 ] simplifiying candidate # 1540196624.362 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196624.362 * * [misc]simplify: iters left: 6 (25 enodes) 1540196624.366 * * [misc]simplify: iters left: 5 (43 enodes) 1540196624.372 * * [misc]simplify: iters left: 4 (98 enodes) 1540196624.395 * * [misc]simplify: iters left: 3 (326 enodes) 1540196624.629 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196624.629 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196624.629 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196624.629 * * [misc]simplify: iters left: 6 (22 enodes) 1540196624.632 * * [misc]simplify: iters left: 5 (31 enodes) 1540196624.636 * * [misc]simplify: iters left: 4 (50 enodes) 1540196624.643 * * [misc]simplify: iters left: 3 (98 enodes) 1540196624.665 * * [misc]simplify: iters left: 2 (185 enodes) 1540196624.725 * * [misc]simplify: iters left: 1 (321 enodes) 1540196624.898 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196624.898 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196624.898 * * * * [misc]progress: [ 729 / 6870 ] simplifiying candidate # 1540196624.899 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196624.899 * * [misc]simplify: iters left: 6 (24 enodes) 1540196624.905 * * [misc]simplify: iters left: 5 (38 enodes) 1540196624.915 * * [misc]simplify: iters left: 4 (73 enodes) 1540196624.939 * * [misc]simplify: iters left: 3 (218 enodes) 1540196625.077 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196625.077 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196625.077 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196625.077 * * [misc]simplify: iters left: 6 (22 enodes) 1540196625.081 * * [misc]simplify: iters left: 5 (31 enodes) 1540196625.086 * * [misc]simplify: iters left: 4 (50 enodes) 1540196625.095 * * [misc]simplify: iters left: 3 (98 enodes) 1540196625.120 * * [misc]simplify: iters left: 2 (185 enodes) 1540196625.190 * * [misc]simplify: iters left: 1 (321 enodes) 1540196625.361 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196625.361 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196625.361 * * * * [misc]progress: [ 730 / 6870 ] simplifiying candidate # 1540196625.361 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196625.362 * * [misc]simplify: iters left: 6 (23 enodes) 1540196625.367 * * [misc]simplify: iters left: 5 (39 enodes) 1540196625.378 * * [misc]simplify: iters left: 4 (74 enodes) 1540196625.403 * * [misc]simplify: iters left: 3 (214 enodes) 1540196625.507 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196625.507 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196625.507 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196625.507 * * [misc]simplify: iters left: 6 (21 enodes) 1540196625.510 * * [misc]simplify: iters left: 5 (30 enodes) 1540196625.514 * * [misc]simplify: iters left: 4 (49 enodes) 1540196625.521 * * [misc]simplify: iters left: 3 (97 enodes) 1540196625.540 * * [misc]simplify: iters left: 2 (184 enodes) 1540196625.579 * * [misc]simplify: iters left: 1 (323 enodes) 1540196625.735 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196625.735 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196625.735 * * * * [misc]progress: [ 731 / 6870 ] simplifiying candidate # 1540196625.736 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196625.736 * * [misc]simplify: iters left: 6 (20 enodes) 1540196625.739 * * [misc]simplify: iters left: 5 (33 enodes) 1540196625.744 * * [misc]simplify: iters left: 4 (57 enodes) 1540196625.754 * * [misc]simplify: iters left: 3 (130 enodes) 1540196625.785 * * [misc]simplify: iters left: 2 (284 enodes) 1540196625.925 * [exit]simplify: Simplified to (* (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196625.925 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196625.925 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196625.925 * * [misc]simplify: iters left: 6 (19 enodes) 1540196625.930 * * [misc]simplify: iters left: 5 (28 enodes) 1540196625.937 * * [misc]simplify: iters left: 4 (46 enodes) 1540196625.949 * * [misc]simplify: iters left: 3 (91 enodes) 1540196625.966 * * [misc]simplify: iters left: 2 (156 enodes) 1540196626.011 * * [misc]simplify: iters left: 1 (240 enodes) 1540196626.112 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196626.112 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196626.112 * * * * [misc]progress: [ 732 / 6870 ] simplifiying candidate # 1540196626.112 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196626.112 * * [misc]simplify: iters left: 6 (20 enodes) 1540196626.117 * * [misc]simplify: iters left: 5 (33 enodes) 1540196626.122 * * [misc]simplify: iters left: 4 (57 enodes) 1540196626.132 * * [misc]simplify: iters left: 3 (130 enodes) 1540196626.161 * * [misc]simplify: iters left: 2 (284 enodes) 1540196626.311 * [exit]simplify: Simplified to (* (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196626.311 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196626.312 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196626.312 * * [misc]simplify: iters left: 6 (19 enodes) 1540196626.314 * * [misc]simplify: iters left: 5 (28 enodes) 1540196626.318 * * [misc]simplify: iters left: 4 (46 enodes) 1540196626.325 * * [misc]simplify: iters left: 3 (91 enodes) 1540196626.341 * * [misc]simplify: iters left: 2 (156 enodes) 1540196626.379 * * [misc]simplify: iters left: 1 (240 enodes) 1540196626.441 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196626.441 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196626.441 * * * * [misc]progress: [ 733 / 6870 ] simplifiying candidate # 1540196626.442 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196626.442 * * [misc]simplify: iters left: 6 (22 enodes) 1540196626.445 * * [misc]simplify: iters left: 5 (36 enodes) 1540196626.452 * * [misc]simplify: iters left: 4 (66 enodes) 1540196626.465 * * [misc]simplify: iters left: 3 (175 enodes) 1540196626.516 * * [misc]simplify: iters left: 2 (491 enodes) 1540196626.852 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196626.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196626.852 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196626.852 * * [misc]simplify: iters left: 6 (20 enodes) 1540196626.855 * * [misc]simplify: iters left: 5 (29 enodes) 1540196626.859 * * [misc]simplify: iters left: 4 (47 enodes) 1540196626.866 * * [misc]simplify: iters left: 3 (92 enodes) 1540196626.884 * * [misc]simplify: iters left: 2 (157 enodes) 1540196626.916 * * [misc]simplify: iters left: 1 (237 enodes) 1540196626.972 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196626.972 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196626.972 * * * * [misc]progress: [ 734 / 6870 ] simplifiying candidate # 1540196626.973 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196626.973 * * [misc]simplify: iters left: 6 (21 enodes) 1540196626.976 * * [misc]simplify: iters left: 5 (33 enodes) 1540196626.980 * * [misc]simplify: iters left: 4 (57 enodes) 1540196626.989 * * [misc]simplify: iters left: 3 (130 enodes) 1540196627.020 * * [misc]simplify: iters left: 2 (290 enodes) 1540196627.142 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196627.143 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196627.145 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196627.145 * * [misc]simplify: iters left: 6 (20 enodes) 1540196627.150 * * [misc]simplify: iters left: 5 (29 enodes) 1540196627.157 * * [misc]simplify: iters left: 4 (47 enodes) 1540196627.167 * * [misc]simplify: iters left: 3 (92 enodes) 1540196627.195 * * [misc]simplify: iters left: 2 (157 enodes) 1540196627.240 * * [misc]simplify: iters left: 1 (237 enodes) 1540196627.295 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196627.295 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196627.296 * * * * [misc]progress: [ 735 / 6870 ] simplifiying candidate # 1540196627.296 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196627.296 * * [misc]simplify: iters left: 6 (20 enodes) 1540196627.299 * * [misc]simplify: iters left: 5 (33 enodes) 1540196627.304 * * [misc]simplify: iters left: 4 (59 enodes) 1540196627.314 * * [misc]simplify: iters left: 3 (125 enodes) 1540196627.344 * * [misc]simplify: iters left: 2 (271 enodes) 1540196627.510 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196627.510 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196627.510 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196627.510 * * [misc]simplify: iters left: 6 (19 enodes) 1540196627.513 * * [misc]simplify: iters left: 5 (28 enodes) 1540196627.517 * * [misc]simplify: iters left: 4 (46 enodes) 1540196627.524 * * [misc]simplify: iters left: 3 (91 enodes) 1540196627.541 * * [misc]simplify: iters left: 2 (156 enodes) 1540196627.573 * * [misc]simplify: iters left: 1 (240 enodes) 1540196627.633 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540196627.633 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))))) 1540196627.633 * * * * [misc]progress: [ 736 / 6870 ] simplifiying candidate # 1540196627.633 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196627.633 * * [misc]simplify: iters left: 6 (22 enodes) 1540196627.637 * * [misc]simplify: iters left: 5 (35 enodes) 1540196627.642 * * [misc]simplify: iters left: 4 (60 enodes) 1540196627.652 * * [misc]simplify: iters left: 3 (136 enodes) 1540196627.685 * * [misc]simplify: iters left: 2 (316 enodes) 1540196627.803 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) 1540196627.803 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196627.803 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196627.803 * * [misc]simplify: iters left: 6 (21 enodes) 1540196627.806 * * [misc]simplify: iters left: 5 (30 enodes) 1540196627.810 * * [misc]simplify: iters left: 4 (49 enodes) 1540196627.817 * * [misc]simplify: iters left: 3 (97 enodes) 1540196627.835 * * [misc]simplify: iters left: 2 (184 enodes) 1540196627.877 * * [misc]simplify: iters left: 1 (323 enodes) 1540196627.986 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196627.986 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196627.986 * * * * [misc]progress: [ 737 / 6870 ] simplifiying candidate # 1540196627.986 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196627.986 * * [misc]simplify: iters left: 6 (22 enodes) 1540196627.990 * * [misc]simplify: iters left: 5 (35 enodes) 1540196627.996 * * [misc]simplify: iters left: 4 (60 enodes) 1540196628.006 * * [misc]simplify: iters left: 3 (136 enodes) 1540196628.039 * * [misc]simplify: iters left: 2 (316 enodes) 1540196628.157 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) 1540196628.157 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196628.157 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196628.157 * * [misc]simplify: iters left: 6 (21 enodes) 1540196628.160 * * [misc]simplify: iters left: 5 (30 enodes) 1540196628.164 * * [misc]simplify: iters left: 4 (49 enodes) 1540196628.171 * * [misc]simplify: iters left: 3 (97 enodes) 1540196628.188 * * [misc]simplify: iters left: 2 (184 enodes) 1540196628.230 * * [misc]simplify: iters left: 1 (323 enodes) 1540196628.384 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196628.384 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196628.384 * * * * [misc]progress: [ 738 / 6870 ] simplifiying candidate # 1540196628.385 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196628.385 * * [misc]simplify: iters left: 6 (24 enodes) 1540196628.388 * * [misc]simplify: iters left: 5 (38 enodes) 1540196628.394 * * [misc]simplify: iters left: 4 (69 enodes) 1540196628.406 * * [misc]simplify: iters left: 3 (181 enodes) 1540196628.479 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196628.479 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196628.479 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196628.480 * * [misc]simplify: iters left: 6 (22 enodes) 1540196628.484 * * [misc]simplify: iters left: 5 (31 enodes) 1540196628.491 * * [misc]simplify: iters left: 4 (50 enodes) 1540196628.504 * * [misc]simplify: iters left: 3 (98 enodes) 1540196628.533 * * [misc]simplify: iters left: 2 (185 enodes) 1540196628.601 * * [misc]simplify: iters left: 1 (321 enodes) 1540196628.724 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196628.724 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196628.724 * * * * [misc]progress: [ 739 / 6870 ] simplifiying candidate # 1540196628.724 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196628.724 * * [misc]simplify: iters left: 6 (23 enodes) 1540196628.727 * * [misc]simplify: iters left: 5 (35 enodes) 1540196628.732 * * [misc]simplify: iters left: 4 (60 enodes) 1540196628.742 * * [misc]simplify: iters left: 3 (136 enodes) 1540196628.773 * * [misc]simplify: iters left: 2 (314 enodes) 1540196628.894 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196628.894 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196628.894 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196628.894 * * [misc]simplify: iters left: 6 (22 enodes) 1540196628.897 * * [misc]simplify: iters left: 5 (31 enodes) 1540196628.901 * * [misc]simplify: iters left: 4 (50 enodes) 1540196628.909 * * [misc]simplify: iters left: 3 (98 enodes) 1540196628.927 * * [misc]simplify: iters left: 2 (185 enodes) 1540196628.968 * * [misc]simplify: iters left: 1 (321 enodes) 1540196629.101 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196629.101 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196629.101 * * * * [misc]progress: [ 740 / 6870 ] simplifiying candidate # 1540196629.101 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196629.102 * * [misc]simplify: iters left: 6 (22 enodes) 1540196629.109 * * [misc]simplify: iters left: 5 (36 enodes) 1540196629.120 * * [misc]simplify: iters left: 4 (63 enodes) 1540196629.140 * * [misc]simplify: iters left: 3 (108 enodes) 1540196629.172 * * [misc]simplify: iters left: 2 (254 enodes) 1540196629.322 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196629.322 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196629.322 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196629.322 * * [misc]simplify: iters left: 6 (21 enodes) 1540196629.325 * * [misc]simplify: iters left: 5 (30 enodes) 1540196629.332 * * [misc]simplify: iters left: 4 (49 enodes) 1540196629.347 * * [misc]simplify: iters left: 3 (97 enodes) 1540196629.382 * * [misc]simplify: iters left: 2 (184 enodes) 1540196629.455 * * [misc]simplify: iters left: 1 (323 enodes) 1540196629.571 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196629.571 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196629.571 * * * * [misc]progress: [ 741 / 6870 ] simplifiying candidate # 1540196629.572 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196629.572 * * [misc]simplify: iters left: 6 (22 enodes) 1540196629.576 * * [misc]simplify: iters left: 5 (37 enodes) 1540196629.582 * * [misc]simplify: iters left: 4 (64 enodes) 1540196629.604 * * [misc]simplify: iters left: 3 (170 enodes) 1540196629.655 * * [misc]simplify: iters left: 2 (467 enodes) 1540196629.904 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196629.904 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196629.904 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196629.904 * * [misc]simplify: iters left: 6 (20 enodes) 1540196629.907 * * [misc]simplify: iters left: 5 (29 enodes) 1540196629.911 * * [misc]simplify: iters left: 4 (48 enodes) 1540196629.918 * * [misc]simplify: iters left: 3 (96 enodes) 1540196629.938 * * [misc]simplify: iters left: 2 (183 enodes) 1540196629.978 * * [misc]simplify: iters left: 1 (324 enodes) 1540196630.092 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196630.092 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196630.092 * * * * [misc]progress: [ 742 / 6870 ] simplifiying candidate # 1540196630.093 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196630.093 * * [misc]simplify: iters left: 6 (22 enodes) 1540196630.097 * * [misc]simplify: iters left: 5 (37 enodes) 1540196630.102 * * [misc]simplify: iters left: 4 (64 enodes) 1540196630.115 * * [misc]simplify: iters left: 3 (170 enodes) 1540196630.165 * * [misc]simplify: iters left: 2 (467 enodes) 1540196630.413 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196630.413 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196630.413 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196630.413 * * [misc]simplify: iters left: 6 (20 enodes) 1540196630.416 * * [misc]simplify: iters left: 5 (29 enodes) 1540196630.420 * * [misc]simplify: iters left: 4 (48 enodes) 1540196630.429 * * [misc]simplify: iters left: 3 (96 enodes) 1540196630.447 * * [misc]simplify: iters left: 2 (183 enodes) 1540196630.488 * * [misc]simplify: iters left: 1 (324 enodes) 1540196630.601 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196630.601 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196630.602 * * * * [misc]progress: [ 743 / 6870 ] simplifiying candidate # 1540196630.602 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196630.602 * * [misc]simplify: iters left: 6 (24 enodes) 1540196630.608 * * [misc]simplify: iters left: 5 (40 enodes) 1540196630.619 * * [misc]simplify: iters left: 4 (74 enodes) 1540196630.640 * * [misc]simplify: iters left: 3 (227 enodes) 1540196630.760 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196630.760 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196630.760 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196630.761 * * [misc]simplify: iters left: 6 (21 enodes) 1540196630.763 * * [misc]simplify: iters left: 5 (30 enodes) 1540196630.768 * * [misc]simplify: iters left: 4 (49 enodes) 1540196630.775 * * [misc]simplify: iters left: 3 (97 enodes) 1540196630.803 * * [misc]simplify: iters left: 2 (184 enodes) 1540196630.847 * * [misc]simplify: iters left: 1 (323 enodes) 1540196631.038 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196631.038 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196631.038 * * * * [misc]progress: [ 744 / 6870 ] simplifiying candidate # 1540196631.039 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196631.039 * * [misc]simplify: iters left: 6 (23 enodes) 1540196631.046 * * [misc]simplify: iters left: 5 (37 enodes) 1540196631.055 * * [misc]simplify: iters left: 4 (64 enodes) 1540196631.076 * * [misc]simplify: iters left: 3 (170 enodes) 1540196631.140 * * [misc]simplify: iters left: 2 (453 enodes) 1540196631.401 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196631.401 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196631.401 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196631.401 * * [misc]simplify: iters left: 6 (21 enodes) 1540196631.404 * * [misc]simplify: iters left: 5 (30 enodes) 1540196631.408 * * [misc]simplify: iters left: 4 (49 enodes) 1540196631.415 * * [misc]simplify: iters left: 3 (97 enodes) 1540196631.433 * * [misc]simplify: iters left: 2 (184 enodes) 1540196631.478 * * [misc]simplify: iters left: 1 (323 enodes) 1540196631.626 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196631.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196631.626 * * * * [misc]progress: [ 745 / 6870 ] simplifiying candidate # 1540196631.627 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) 1)) 1540196631.627 * * [misc]simplify: iters left: 6 (21 enodes) 1540196631.633 * * [misc]simplify: iters left: 5 (35 enodes) 1540196631.641 * * [misc]simplify: iters left: 4 (49 enodes) 1540196631.653 * * [misc]simplify: iters left: 3 (84 enodes) 1540196631.678 * * [misc]simplify: iters left: 2 (194 enodes) 1540196631.791 * * [misc]simplify: iters left: 1 (476 enodes) 1540196632.263 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196632.263 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196632.264 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196632.264 * * [misc]simplify: iters left: 6 (20 enodes) 1540196632.266 * * [misc]simplify: iters left: 5 (29 enodes) 1540196632.270 * * [misc]simplify: iters left: 4 (48 enodes) 1540196632.277 * * [misc]simplify: iters left: 3 (96 enodes) 1540196632.294 * * [misc]simplify: iters left: 2 (183 enodes) 1540196632.336 * * [misc]simplify: iters left: 1 (324 enodes) 1540196632.448 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196632.448 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196632.448 * * * * [misc]progress: [ 746 / 6870 ] simplifiying candidate # 1540196632.448 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196632.448 * * [misc]simplify: iters left: 6 (22 enodes) 1540196632.452 * * [misc]simplify: iters left: 5 (35 enodes) 1540196632.457 * * [misc]simplify: iters left: 4 (60 enodes) 1540196632.467 * * [misc]simplify: iters left: 3 (136 enodes) 1540196632.498 * * [misc]simplify: iters left: 2 (316 enodes) 1540196632.617 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) 1540196632.617 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196632.617 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196632.618 * * [misc]simplify: iters left: 6 (21 enodes) 1540196632.620 * * [misc]simplify: iters left: 5 (30 enodes) 1540196632.624 * * [misc]simplify: iters left: 4 (49 enodes) 1540196632.631 * * [misc]simplify: iters left: 3 (97 enodes) 1540196632.648 * * [misc]simplify: iters left: 2 (184 enodes) 1540196632.689 * * [misc]simplify: iters left: 1 (323 enodes) 1540196632.795 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196632.795 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196632.796 * * * * [misc]progress: [ 747 / 6870 ] simplifiying candidate # 1540196632.796 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196632.796 * * [misc]simplify: iters left: 6 (22 enodes) 1540196632.801 * * [misc]simplify: iters left: 5 (35 enodes) 1540196632.806 * * [misc]simplify: iters left: 4 (60 enodes) 1540196632.816 * * [misc]simplify: iters left: 3 (136 enodes) 1540196632.847 * * [misc]simplify: iters left: 2 (316 enodes) 1540196632.965 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) 1540196632.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196632.966 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196632.966 * * [misc]simplify: iters left: 6 (21 enodes) 1540196632.969 * * [misc]simplify: iters left: 5 (30 enodes) 1540196632.973 * * [misc]simplify: iters left: 4 (49 enodes) 1540196632.981 * * [misc]simplify: iters left: 3 (97 enodes) 1540196632.998 * * [misc]simplify: iters left: 2 (184 enodes) 1540196633.038 * * [misc]simplify: iters left: 1 (323 enodes) 1540196633.208 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196633.208 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196633.208 * * * * [misc]progress: [ 748 / 6870 ] simplifiying candidate # 1540196633.209 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196633.209 * * [misc]simplify: iters left: 6 (24 enodes) 1540196633.212 * * [misc]simplify: iters left: 5 (38 enodes) 1540196633.217 * * [misc]simplify: iters left: 4 (69 enodes) 1540196633.231 * * [misc]simplify: iters left: 3 (181 enodes) 1540196633.296 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196633.296 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196633.296 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196633.296 * * [misc]simplify: iters left: 6 (22 enodes) 1540196633.299 * * [misc]simplify: iters left: 5 (31 enodes) 1540196633.303 * * [misc]simplify: iters left: 4 (50 enodes) 1540196633.310 * * [misc]simplify: iters left: 3 (98 enodes) 1540196633.329 * * [misc]simplify: iters left: 2 (185 enodes) 1540196633.753 * * [misc]simplify: iters left: 1 (321 enodes) 1540196633.906 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196633.906 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196633.907 * * * * [misc]progress: [ 749 / 6870 ] simplifiying candidate # 1540196633.907 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196633.907 * * [misc]simplify: iters left: 6 (23 enodes) 1540196633.912 * * [misc]simplify: iters left: 5 (35 enodes) 1540196633.917 * * [misc]simplify: iters left: 4 (60 enodes) 1540196633.933 * * [misc]simplify: iters left: 3 (136 enodes) 1540196633.986 * * [misc]simplify: iters left: 2 (314 enodes) 1540196634.153 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196634.153 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196634.153 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196634.153 * * [misc]simplify: iters left: 6 (22 enodes) 1540196634.156 * * [misc]simplify: iters left: 5 (31 enodes) 1540196634.161 * * [misc]simplify: iters left: 4 (50 enodes) 1540196634.168 * * [misc]simplify: iters left: 3 (98 enodes) 1540196634.197 * * [misc]simplify: iters left: 2 (185 enodes) 1540196634.242 * * [misc]simplify: iters left: 1 (321 enodes) 1540196634.416 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196634.416 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196634.416 * * * * [misc]progress: [ 750 / 6870 ] simplifiying candidate # 1540196634.416 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196634.416 * * [misc]simplify: iters left: 6 (22 enodes) 1540196634.420 * * [misc]simplify: iters left: 5 (36 enodes) 1540196634.425 * * [misc]simplify: iters left: 4 (63 enodes) 1540196634.435 * * [misc]simplify: iters left: 3 (108 enodes) 1540196634.456 * * [misc]simplify: iters left: 2 (254 enodes) 1540196634.557 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196634.557 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196634.557 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196634.557 * * [misc]simplify: iters left: 6 (21 enodes) 1540196634.560 * * [misc]simplify: iters left: 5 (30 enodes) 1540196634.566 * * [misc]simplify: iters left: 4 (49 enodes) 1540196634.573 * * [misc]simplify: iters left: 3 (97 enodes) 1540196634.590 * * [misc]simplify: iters left: 2 (184 enodes) 1540196634.630 * * [misc]simplify: iters left: 1 (323 enodes) 1540196634.738 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196634.738 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196634.738 * * * * [misc]progress: [ 751 / 6870 ] simplifiying candidate # 1540196634.738 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196634.738 * * [misc]simplify: iters left: 6 (21 enodes) 1540196634.742 * * [misc]simplify: iters left: 5 (36 enodes) 1540196634.749 * * [misc]simplify: iters left: 4 (59 enodes) 1540196634.759 * * [misc]simplify: iters left: 3 (133 enodes) 1540196634.789 * * [misc]simplify: iters left: 2 (323 enodes) 1540196634.976 * [exit]simplify: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196634.976 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196634.976 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196634.976 * * [misc]simplify: iters left: 6 (20 enodes) 1540196634.981 * * [misc]simplify: iters left: 5 (29 enodes) 1540196634.985 * * [misc]simplify: iters left: 4 (48 enodes) 1540196634.992 * * [misc]simplify: iters left: 3 (96 enodes) 1540196635.010 * * [misc]simplify: iters left: 2 (183 enodes) 1540196635.057 * * [misc]simplify: iters left: 1 (324 enodes) 1540196635.206 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196635.206 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196635.206 * * * * [misc]progress: [ 752 / 6870 ] simplifiying candidate # 1540196635.207 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196635.207 * * [misc]simplify: iters left: 6 (21 enodes) 1540196635.210 * * [misc]simplify: iters left: 5 (36 enodes) 1540196635.216 * * [misc]simplify: iters left: 4 (59 enodes) 1540196635.228 * * [misc]simplify: iters left: 3 (133 enodes) 1540196635.270 * * [misc]simplify: iters left: 2 (323 enodes) 1540196635.464 * [exit]simplify: Simplified to (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196635.464 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196635.465 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196635.465 * * [misc]simplify: iters left: 6 (20 enodes) 1540196635.468 * * [misc]simplify: iters left: 5 (29 enodes) 1540196635.472 * * [misc]simplify: iters left: 4 (48 enodes) 1540196635.479 * * [misc]simplify: iters left: 3 (96 enodes) 1540196635.497 * * [misc]simplify: iters left: 2 (183 enodes) 1540196635.552 * * [misc]simplify: iters left: 1 (324 enodes) 1540196635.712 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196635.712 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196635.713 * * * * [misc]progress: [ 753 / 6870 ] simplifiying candidate # 1540196635.713 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196635.713 * * [misc]simplify: iters left: 6 (23 enodes) 1540196635.720 * * [misc]simplify: iters left: 5 (39 enodes) 1540196635.731 * * [misc]simplify: iters left: 4 (68 enodes) 1540196635.758 * * [misc]simplify: iters left: 3 (187 enodes) 1540196635.843 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196635.843 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196635.843 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196635.844 * * [misc]simplify: iters left: 6 (21 enodes) 1540196635.850 * * [misc]simplify: iters left: 5 (30 enodes) 1540196635.859 * * [misc]simplify: iters left: 4 (49 enodes) 1540196635.874 * * [misc]simplify: iters left: 3 (97 enodes) 1540196635.913 * * [misc]simplify: iters left: 2 (184 enodes) 1540196635.989 * * [misc]simplify: iters left: 1 (323 enodes) 1540196636.134 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196636.134 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196636.134 * * * * [misc]progress: [ 754 / 6870 ] simplifiying candidate # 1540196636.134 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196636.134 * * [misc]simplify: iters left: 6 (22 enodes) 1540196636.138 * * [misc]simplify: iters left: 5 (36 enodes) 1540196636.143 * * [misc]simplify: iters left: 4 (59 enodes) 1540196636.153 * * [misc]simplify: iters left: 3 (133 enodes) 1540196636.193 * * [misc]simplify: iters left: 2 (323 enodes) 1540196636.373 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196636.373 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196636.374 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196636.374 * * [misc]simplify: iters left: 6 (21 enodes) 1540196636.380 * * [misc]simplify: iters left: 5 (30 enodes) 1540196636.389 * * [misc]simplify: iters left: 4 (49 enodes) 1540196636.404 * * [misc]simplify: iters left: 3 (97 enodes) 1540196636.443 * * [misc]simplify: iters left: 2 (184 enodes) 1540196636.484 * * [misc]simplify: iters left: 1 (323 enodes) 1540196636.649 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196636.649 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196636.649 * * * * [misc]progress: [ 755 / 6870 ] simplifiying candidate # 1540196636.649 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 1)) 1540196636.649 * * [misc]simplify: iters left: 6 (20 enodes) 1540196636.652 * * [misc]simplify: iters left: 5 (32 enodes) 1540196636.658 * * [misc]simplify: iters left: 4 (47 enodes) 1540196636.673 * * [misc]simplify: iters left: 3 (73 enodes) 1540196636.697 * * [misc]simplify: iters left: 2 (122 enodes) 1540196636.731 * * [misc]simplify: iters left: 1 (273 enodes) 1540196636.885 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196636.885 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196636.885 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196636.885 * * [misc]simplify: iters left: 6 (20 enodes) 1540196636.888 * * [misc]simplify: iters left: 5 (29 enodes) 1540196636.892 * * [misc]simplify: iters left: 4 (48 enodes) 1540196636.899 * * [misc]simplify: iters left: 3 (96 enodes) 1540196636.920 * * [misc]simplify: iters left: 2 (183 enodes) 1540196636.989 * * [misc]simplify: iters left: 1 (324 enodes) 1540196637.103 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196637.103 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196637.103 * * * * [misc]progress: [ 756 / 6870 ] simplifiying candidate # 1540196637.103 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1) 1540196637.103 * * [misc]simplify: iters left: 6 (19 enodes) 1540196637.106 * * [misc]simplify: iters left: 5 (31 enodes) 1540196637.110 * * [misc]simplify: iters left: 4 (50 enodes) 1540196637.125 * * [misc]simplify: iters left: 3 (81 enodes) 1540196637.152 * * [misc]simplify: iters left: 2 (142 enodes) 1540196637.212 * * [misc]simplify: iters left: 1 (297 enodes) 1540196637.484 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196637.484 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196637.484 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196637.484 * * [misc]simplify: iters left: 6 (20 enodes) 1540196637.490 * * [misc]simplify: iters left: 5 (29 enodes) 1540196637.499 * * [misc]simplify: iters left: 4 (48 enodes) 1540196637.511 * * [misc]simplify: iters left: 3 (96 enodes) 1540196637.529 * * [misc]simplify: iters left: 2 (183 enodes) 1540196637.578 * * [misc]simplify: iters left: 1 (324 enodes) 1540196637.739 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196637.739 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196637.739 * * * * [misc]progress: [ 757 / 6870 ] simplifiying candidate # 1540196637.739 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) 1540196637.739 * * [misc]simplify: iters left: 6 (19 enodes) 1540196637.745 * * [misc]simplify: iters left: 5 (29 enodes) 1540196637.753 * * [misc]simplify: iters left: 4 (46 enodes) 1540196637.766 * * [misc]simplify: iters left: 3 (80 enodes) 1540196637.793 * * [misc]simplify: iters left: 2 (135 enodes) 1540196637.842 * * [misc]simplify: iters left: 1 (206 enodes) 1540196637.901 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1540196637.902 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196637.902 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196637.902 * * [misc]simplify: iters left: 6 (20 enodes) 1540196637.905 * * [misc]simplify: iters left: 5 (31 enodes) 1540196637.909 * * [misc]simplify: iters left: 4 (48 enodes) 1540196637.923 * * [misc]simplify: iters left: 3 (100 enodes) 1540196637.946 * * [misc]simplify: iters left: 2 (208 enodes) 1540196638.037 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (sqrt (cbrt (sqrt k)))) 1540196638.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (sqrt (cbrt (sqrt k)))))) 1540196638.037 * * * * [misc]progress: [ 758 / 6870 ] simplifiying candidate # 1540196638.037 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196638.038 * * [misc]simplify: iters left: 6 (21 enodes) 1540196638.045 * * [misc]simplify: iters left: 5 (34 enodes) 1540196638.056 * * [misc]simplify: iters left: 4 (59 enodes) 1540196638.076 * * [misc]simplify: iters left: 3 (135 enodes) 1540196638.121 * * [misc]simplify: iters left: 2 (320 enodes) 1540196638.282 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196638.282 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196638.282 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196638.282 * * [misc]simplify: iters left: 6 (18 enodes) 1540196638.287 * * [misc]simplify: iters left: 5 (25 enodes) 1540196638.294 * * [misc]simplify: iters left: 4 (36 enodes) 1540196638.304 * * [misc]simplify: iters left: 3 (51 enodes) 1540196638.316 * * [misc]simplify: iters left: 2 (68 enodes) 1540196638.325 * * [misc]simplify: iters left: 1 (85 enodes) 1540196638.340 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (cbrt (sqrt k))) (pow 2 (/ k 2)))) 1540196638.340 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (cbrt (sqrt k))) (pow 2 (/ k 2)))))) 1540196638.340 * * * * [misc]progress: [ 759 / 6870 ] simplifiying candidate # 1540196638.340 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196638.340 * * [misc]simplify: iters left: 6 (22 enodes) 1540196638.343 * * [misc]simplify: iters left: 5 (32 enodes) 1540196638.352 * * [misc]simplify: iters left: 4 (53 enodes) 1540196638.367 * * [misc]simplify: iters left: 3 (88 enodes) 1540196638.393 * * [misc]simplify: iters left: 2 (135 enodes) 1540196638.426 * * [misc]simplify: iters left: 1 (200 enodes) 1540196638.490 * [exit]simplify: Simplified to (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196638.490 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196638.490 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196638.491 * * [misc]simplify: iters left: 6 (21 enodes) 1540196638.496 * * [misc]simplify: iters left: 5 (28 enodes) 1540196638.504 * * [misc]simplify: iters left: 4 (39 enodes) 1540196638.513 * * [misc]simplify: iters left: 3 (54 enodes) 1540196638.520 * * [misc]simplify: iters left: 2 (71 enodes) 1540196638.529 * * [misc]simplify: iters left: 1 (88 enodes) 1540196638.542 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196638.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196638.542 * * * * [misc]progress: [ 760 / 6870 ] simplifiying candidate # 1540196638.542 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196638.543 * * [misc]simplify: iters left: 6 (21 enodes) 1540196638.545 * * [misc]simplify: iters left: 5 (29 enodes) 1540196638.549 * * [misc]simplify: iters left: 4 (42 enodes) 1540196638.556 * * [misc]simplify: iters left: 3 (57 enodes) 1540196638.564 * * [misc]simplify: iters left: 2 (74 enodes) 1540196638.573 * * [misc]simplify: iters left: 1 (91 enodes) 1540196638.586 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196638.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196638.586 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196638.586 * * [misc]simplify: iters left: 6 (21 enodes) 1540196638.589 * * [misc]simplify: iters left: 5 (28 enodes) 1540196638.592 * * [misc]simplify: iters left: 4 (39 enodes) 1540196638.597 * * [misc]simplify: iters left: 3 (54 enodes) 1540196638.604 * * [misc]simplify: iters left: 2 (71 enodes) 1540196638.615 * * [misc]simplify: iters left: 1 (88 enodes) 1540196638.634 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196638.634 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196638.634 * * * * [misc]progress: [ 761 / 6870 ] simplifiying candidate # 1540196638.634 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196638.635 * * [misc]simplify: iters left: 6 (22 enodes) 1540196638.642 * * [misc]simplify: iters left: 5 (35 enodes) 1540196638.653 * * [misc]simplify: iters left: 4 (66 enodes) 1540196638.678 * * [misc]simplify: iters left: 3 (168 enodes) 1540196638.774 * * [misc]simplify: iters left: 2 (418 enodes) 1540196639.065 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196639.066 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196639.066 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196639.066 * * [misc]simplify: iters left: 6 (21 enodes) 1540196639.072 * * [misc]simplify: iters left: 5 (30 enodes) 1540196639.081 * * [misc]simplify: iters left: 4 (49 enodes) 1540196639.097 * * [misc]simplify: iters left: 3 (97 enodes) 1540196639.119 * * [misc]simplify: iters left: 2 (184 enodes) 1540196639.186 * * [misc]simplify: iters left: 1 (323 enodes) 1540196639.348 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196639.348 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196639.348 * * * * [misc]progress: [ 762 / 6870 ] simplifiying candidate # 1540196639.348 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196639.349 * * [misc]simplify: iters left: 6 (22 enodes) 1540196639.356 * * [misc]simplify: iters left: 5 (35 enodes) 1540196639.367 * * [misc]simplify: iters left: 4 (66 enodes) 1540196639.392 * * [misc]simplify: iters left: 3 (168 enodes) 1540196639.463 * * [misc]simplify: iters left: 2 (418 enodes) 1540196639.759 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196639.759 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196639.759 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196639.759 * * [misc]simplify: iters left: 6 (21 enodes) 1540196639.762 * * [misc]simplify: iters left: 5 (30 enodes) 1540196639.770 * * [misc]simplify: iters left: 4 (49 enodes) 1540196639.782 * * [misc]simplify: iters left: 3 (97 enodes) 1540196639.800 * * [misc]simplify: iters left: 2 (184 enodes) 1540196639.874 * * [misc]simplify: iters left: 1 (323 enodes) 1540196640.034 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196640.034 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196640.034 * * * * [misc]progress: [ 763 / 6870 ] simplifiying candidate # 1540196640.034 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196640.034 * * [misc]simplify: iters left: 6 (24 enodes) 1540196640.040 * * [misc]simplify: iters left: 5 (40 enodes) 1540196640.051 * * [misc]simplify: iters left: 4 (91 enodes) 1540196640.085 * * [misc]simplify: iters left: 3 (263 enodes) 1540196640.285 * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196640.285 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196640.285 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196640.285 * * [misc]simplify: iters left: 6 (22 enodes) 1540196640.292 * * [misc]simplify: iters left: 5 (31 enodes) 1540196640.301 * * [misc]simplify: iters left: 4 (50 enodes) 1540196640.316 * * [misc]simplify: iters left: 3 (98 enodes) 1540196640.353 * * [misc]simplify: iters left: 2 (185 enodes) 1540196640.435 * * [misc]simplify: iters left: 1 (321 enodes) 1540196640.586 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196640.586 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196640.586 * * * * [misc]progress: [ 764 / 6870 ] simplifiying candidate # 1540196640.586 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196640.587 * * [misc]simplify: iters left: 6 (23 enodes) 1540196640.590 * * [misc]simplify: iters left: 5 (35 enodes) 1540196640.595 * * [misc]simplify: iters left: 4 (66 enodes) 1540196640.619 * * [misc]simplify: iters left: 3 (168 enodes) 1540196640.684 * * [misc]simplify: iters left: 2 (419 enodes) 1540196640.956 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) 1540196640.956 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196640.956 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196640.956 * * [misc]simplify: iters left: 6 (22 enodes) 1540196640.959 * * [misc]simplify: iters left: 5 (31 enodes) 1540196640.964 * * [misc]simplify: iters left: 4 (50 enodes) 1540196640.973 * * [misc]simplify: iters left: 3 (98 enodes) 1540196640.997 * * [misc]simplify: iters left: 2 (185 enodes) 1540196641.077 * * [misc]simplify: iters left: 1 (321 enodes) 1540196641.215 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196641.215 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196641.215 * * * * [misc]progress: [ 765 / 6870 ] simplifiying candidate # 1540196641.215 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196641.215 * * [misc]simplify: iters left: 6 (22 enodes) 1540196641.219 * * [misc]simplify: iters left: 5 (36 enodes) 1540196641.225 * * [misc]simplify: iters left: 4 (67 enodes) 1540196641.236 * * [misc]simplify: iters left: 3 (163 enodes) 1540196641.301 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196641.301 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196641.302 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196641.302 * * [misc]simplify: iters left: 6 (21 enodes) 1540196641.305 * * [misc]simplify: iters left: 5 (30 enodes) 1540196641.309 * * [misc]simplify: iters left: 4 (49 enodes) 1540196641.321 * * [misc]simplify: iters left: 3 (97 enodes) 1540196641.357 * * [misc]simplify: iters left: 2 (184 enodes) 1540196641.410 * * [misc]simplify: iters left: 1 (323 enodes) 1540196641.590 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196641.590 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196641.590 * * * * [misc]progress: [ 766 / 6870 ] simplifiying candidate # 1540196641.591 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196641.591 * * [misc]simplify: iters left: 6 (19 enodes) 1540196641.594 * * [misc]simplify: iters left: 5 (30 enodes) 1540196641.599 * * [misc]simplify: iters left: 4 (50 enodes) 1540196641.608 * * [misc]simplify: iters left: 3 (95 enodes) 1540196641.638 * * [misc]simplify: iters left: 2 (160 enodes) 1540196641.694 * * [misc]simplify: iters left: 1 (257 enodes) 1540196641.781 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196641.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196641.782 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196641.782 * * [misc]simplify: iters left: 6 (19 enodes) 1540196641.787 * * [misc]simplify: iters left: 5 (28 enodes) 1540196641.798 * * [misc]simplify: iters left: 4 (46 enodes) 1540196641.812 * * [misc]simplify: iters left: 3 (91 enodes) 1540196641.845 * * [misc]simplify: iters left: 2 (156 enodes) 1540196641.880 * * [misc]simplify: iters left: 1 (240 enodes) 1540196641.989 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196641.989 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196641.989 * * * * [misc]progress: [ 767 / 6870 ] simplifiying candidate # 1540196641.990 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196641.990 * * [misc]simplify: iters left: 6 (19 enodes) 1540196641.993 * * [misc]simplify: iters left: 5 (30 enodes) 1540196641.999 * * [misc]simplify: iters left: 4 (50 enodes) 1540196642.007 * * [misc]simplify: iters left: 3 (95 enodes) 1540196642.040 * * [misc]simplify: iters left: 2 (160 enodes) 1540196642.107 * * [misc]simplify: iters left: 1 (257 enodes) 1540196642.196 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196642.196 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196642.196 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196642.196 * * [misc]simplify: iters left: 6 (19 enodes) 1540196642.199 * * [misc]simplify: iters left: 5 (28 enodes) 1540196642.203 * * [misc]simplify: iters left: 4 (46 enodes) 1540196642.209 * * [misc]simplify: iters left: 3 (91 enodes) 1540196642.236 * * [misc]simplify: iters left: 2 (156 enodes) 1540196642.303 * * [misc]simplify: iters left: 1 (240 enodes) 1540196642.379 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196642.379 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196642.380 * * * * [misc]progress: [ 768 / 6870 ] simplifiying candidate # 1540196642.380 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196642.380 * * [misc]simplify: iters left: 6 (21 enodes) 1540196642.387 * * [misc]simplify: iters left: 5 (33 enodes) 1540196642.396 * * [misc]simplify: iters left: 4 (59 enodes) 1540196642.406 * * [misc]simplify: iters left: 3 (135 enodes) 1540196642.452 * * [misc]simplify: iters left: 2 (301 enodes) 1540196642.641 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196642.641 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196642.642 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196642.642 * * [misc]simplify: iters left: 6 (20 enodes) 1540196642.644 * * [misc]simplify: iters left: 5 (29 enodes) 1540196642.648 * * [misc]simplify: iters left: 4 (47 enodes) 1540196642.662 * * [misc]simplify: iters left: 3 (92 enodes) 1540196642.691 * * [misc]simplify: iters left: 2 (157 enodes) 1540196642.731 * * [misc]simplify: iters left: 1 (237 enodes) 1540196642.840 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196642.840 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196642.841 * * * * [misc]progress: [ 769 / 6870 ] simplifiying candidate # 1540196642.841 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196642.841 * * [misc]simplify: iters left: 6 (20 enodes) 1540196642.846 * * [misc]simplify: iters left: 5 (30 enodes) 1540196642.854 * * [misc]simplify: iters left: 4 (50 enodes) 1540196642.862 * * [misc]simplify: iters left: 3 (95 enodes) 1540196642.880 * * [misc]simplify: iters left: 2 (160 enodes) 1540196642.920 * * [misc]simplify: iters left: 1 (256 enodes) 1540196643.029 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1540196643.029 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196643.029 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196643.029 * * [misc]simplify: iters left: 6 (20 enodes) 1540196643.035 * * [misc]simplify: iters left: 5 (29 enodes) 1540196643.044 * * [misc]simplify: iters left: 4 (47 enodes) 1540196643.061 * * [misc]simplify: iters left: 3 (92 enodes) 1540196643.094 * * [misc]simplify: iters left: 2 (157 enodes) 1540196643.136 * * [misc]simplify: iters left: 1 (237 enodes) 1540196643.195 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196643.195 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (cbrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196643.195 * * * * [misc]progress: [ 770 / 6870 ] simplifiying candidate # 1540196643.195 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196643.195 * * [misc]simplify: iters left: 6 (19 enodes) 1540196643.198 * * [misc]simplify: iters left: 5 (30 enodes) 1540196643.203 * * [misc]simplify: iters left: 4 (50 enodes) 1540196643.211 * * [misc]simplify: iters left: 3 (88 enodes) 1540196643.244 * * [misc]simplify: iters left: 2 (158 enodes) 1540196643.305 * * [misc]simplify: iters left: 1 (279 enodes) 1540196643.448 * [exit]simplify: Simplified to (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196643.448 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196643.449 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196643.449 * * [misc]simplify: iters left: 6 (19 enodes) 1540196643.455 * * [misc]simplify: iters left: 5 (28 enodes) 1540196643.463 * * [misc]simplify: iters left: 4 (46 enodes) 1540196643.477 * * [misc]simplify: iters left: 3 (91 enodes) 1540196643.512 * * [misc]simplify: iters left: 2 (156 enodes) 1540196643.565 * * [misc]simplify: iters left: 1 (240 enodes) 1540196643.659 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540196643.659 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))))) 1540196643.659 * * * * [misc]progress: [ 771 / 6870 ] simplifiying candidate # 1540196643.659 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196643.660 * * [misc]simplify: iters left: 6 (21 enodes) 1540196643.663 * * [misc]simplify: iters left: 5 (32 enodes) 1540196643.669 * * [misc]simplify: iters left: 4 (53 enodes) 1540196643.686 * * [misc]simplify: iters left: 3 (101 enodes) 1540196643.727 * * [misc]simplify: iters left: 2 (188 enodes) 1540196643.809 * * [misc]simplify: iters left: 1 (325 enodes) 1540196643.964 * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196643.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196643.965 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196643.965 * * [misc]simplify: iters left: 6 (21 enodes) 1540196643.971 * * [misc]simplify: iters left: 5 (30 enodes) 1540196643.980 * * [misc]simplify: iters left: 4 (49 enodes) 1540196643.991 * * [misc]simplify: iters left: 3 (97 enodes) 1540196644.010 * * [misc]simplify: iters left: 2 (184 enodes) 1540196644.062 * * [misc]simplify: iters left: 1 (323 enodes) 1540196644.252 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196644.252 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196644.252 * * * * [misc]progress: [ 772 / 6870 ] simplifiying candidate # 1540196644.253 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196644.253 * * [misc]simplify: iters left: 6 (21 enodes) 1540196644.260 * * [misc]simplify: iters left: 5 (32 enodes) 1540196644.271 * * [misc]simplify: iters left: 4 (53 enodes) 1540196644.280 * * [misc]simplify: iters left: 3 (101 enodes) 1540196644.299 * * [misc]simplify: iters left: 2 (188 enodes) 1540196644.368 * * [misc]simplify: iters left: 1 (325 enodes) 1540196644.494 * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196644.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196644.494 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196644.494 * * [misc]simplify: iters left: 6 (21 enodes) 1540196644.497 * * [misc]simplify: iters left: 5 (30 enodes) 1540196644.501 * * [misc]simplify: iters left: 4 (49 enodes) 1540196644.512 * * [misc]simplify: iters left: 3 (97 enodes) 1540196644.530 * * [misc]simplify: iters left: 2 (184 enodes) 1540196644.572 * * [misc]simplify: iters left: 1 (323 enodes) 1540196644.682 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196644.682 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196644.683 * * * * [misc]progress: [ 773 / 6870 ] simplifiying candidate # 1540196644.683 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196644.683 * * [misc]simplify: iters left: 6 (23 enodes) 1540196644.686 * * [misc]simplify: iters left: 5 (35 enodes) 1540196644.691 * * [misc]simplify: iters left: 4 (62 enodes) 1540196644.701 * * [misc]simplify: iters left: 3 (141 enodes) 1540196644.760 * * [misc]simplify: iters left: 2 (337 enodes) 1540196644.965 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196644.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196644.966 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196644.966 * * [misc]simplify: iters left: 6 (22 enodes) 1540196644.969 * * [misc]simplify: iters left: 5 (31 enodes) 1540196644.973 * * [misc]simplify: iters left: 4 (50 enodes) 1540196644.980 * * [misc]simplify: iters left: 3 (98 enodes) 1540196645.000 * * [misc]simplify: iters left: 2 (185 enodes) 1540196645.075 * * [misc]simplify: iters left: 1 (321 enodes) 1540196645.214 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196645.214 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196645.214 * * * * [misc]progress: [ 774 / 6870 ] simplifiying candidate # 1540196645.214 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196645.215 * * [misc]simplify: iters left: 6 (22 enodes) 1540196645.221 * * [misc]simplify: iters left: 5 (32 enodes) 1540196645.230 * * [misc]simplify: iters left: 4 (53 enodes) 1540196645.246 * * [misc]simplify: iters left: 3 (101 enodes) 1540196645.286 * * [misc]simplify: iters left: 2 (188 enodes) 1540196645.348 * * [misc]simplify: iters left: 1 (325 enodes) 1540196645.496 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540196645.496 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196645.496 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196645.496 * * [misc]simplify: iters left: 6 (22 enodes) 1540196645.499 * * [misc]simplify: iters left: 5 (31 enodes) 1540196645.504 * * [misc]simplify: iters left: 4 (50 enodes) 1540196645.518 * * [misc]simplify: iters left: 3 (98 enodes) 1540196645.545 * * [misc]simplify: iters left: 2 (185 enodes) 1540196645.607 * * [misc]simplify: iters left: 1 (321 enodes) 1540196645.756 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196645.756 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196645.756 * * * * [misc]progress: [ 775 / 6870 ] simplifiying candidate # 1540196645.757 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196645.757 * * [misc]simplify: iters left: 6 (21 enodes) 1540196645.760 * * [misc]simplify: iters left: 5 (33 enodes) 1540196645.765 * * [misc]simplify: iters left: 4 (56 enodes) 1540196645.778 * * [misc]simplify: iters left: 3 (82 enodes) 1540196645.801 * * [misc]simplify: iters left: 2 (144 enodes) 1540196645.876 * * [misc]simplify: iters left: 1 (302 enodes) 1540196646.059 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))))) 1540196646.059 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196646.060 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196646.060 * * [misc]simplify: iters left: 6 (21 enodes) 1540196646.066 * * [misc]simplify: iters left: 5 (30 enodes) 1540196646.074 * * [misc]simplify: iters left: 4 (49 enodes) 1540196646.090 * * [misc]simplify: iters left: 3 (97 enodes) 1540196646.127 * * [misc]simplify: iters left: 2 (184 enodes) 1540196646.200 * * [misc]simplify: iters left: 1 (323 enodes) 1540196646.404 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196646.404 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196646.404 * * * * [misc]progress: [ 776 / 6870 ] simplifiying candidate # 1540196646.404 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196646.404 * * [misc]simplify: iters left: 6 (21 enodes) 1540196646.413 * * [misc]simplify: iters left: 5 (34 enodes) 1540196646.423 * * [misc]simplify: iters left: 4 (57 enodes) 1540196646.438 * * [misc]simplify: iters left: 3 (120 enodes) 1540196646.468 * * [misc]simplify: iters left: 2 (265 enodes) 1540196646.608 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196646.609 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196646.609 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196646.609 * * [misc]simplify: iters left: 6 (20 enodes) 1540196646.615 * * [misc]simplify: iters left: 5 (29 enodes) 1540196646.623 * * [misc]simplify: iters left: 4 (48 enodes) 1540196646.638 * * [misc]simplify: iters left: 3 (96 enodes) 1540196646.678 * * [misc]simplify: iters left: 2 (183 enodes) 1540196646.743 * * [misc]simplify: iters left: 1 (324 enodes) 1540196646.889 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196646.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196646.889 * * * * [misc]progress: [ 777 / 6870 ] simplifiying candidate # 1540196646.889 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196646.889 * * [misc]simplify: iters left: 6 (21 enodes) 1540196646.893 * * [misc]simplify: iters left: 5 (34 enodes) 1540196646.898 * * [misc]simplify: iters left: 4 (57 enodes) 1540196646.912 * * [misc]simplify: iters left: 3 (120 enodes) 1540196646.947 * * [misc]simplify: iters left: 2 (265 enodes) 1540196647.073 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196647.073 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196647.073 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196647.073 * * [misc]simplify: iters left: 6 (20 enodes) 1540196647.076 * * [misc]simplify: iters left: 5 (29 enodes) 1540196647.082 * * [misc]simplify: iters left: 4 (48 enodes) 1540196647.089 * * [misc]simplify: iters left: 3 (96 enodes) 1540196647.106 * * [misc]simplify: iters left: 2 (183 enodes) 1540196647.148 * * [misc]simplify: iters left: 1 (324 enodes) 1540196647.282 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196647.282 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196647.282 * * * * [misc]progress: [ 778 / 6870 ] simplifiying candidate # 1540196647.283 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196647.283 * * [misc]simplify: iters left: 6 (23 enodes) 1540196647.293 * * [misc]simplify: iters left: 5 (37 enodes) 1540196647.303 * * [misc]simplify: iters left: 4 (67 enodes) 1540196647.328 * * [misc]simplify: iters left: 3 (179 enodes) 1540196647.401 * * [misc]simplify: iters left: 2 (445 enodes) 1540196647.688 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196647.688 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196647.688 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196647.689 * * [misc]simplify: iters left: 6 (21 enodes) 1540196647.692 * * [misc]simplify: iters left: 5 (30 enodes) 1540196647.696 * * [misc]simplify: iters left: 4 (49 enodes) 1540196647.707 * * [misc]simplify: iters left: 3 (97 enodes) 1540196647.748 * * [misc]simplify: iters left: 2 (184 enodes) 1540196647.800 * * [misc]simplify: iters left: 1 (323 enodes) 1540196647.948 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196647.948 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196647.948 * * * * [misc]progress: [ 779 / 6870 ] simplifiying candidate # 1540196647.948 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196647.948 * * [misc]simplify: iters left: 6 (22 enodes) 1540196647.952 * * [misc]simplify: iters left: 5 (34 enodes) 1540196647.958 * * [misc]simplify: iters left: 4 (57 enodes) 1540196647.968 * * [misc]simplify: iters left: 3 (120 enodes) 1540196648.000 * * [misc]simplify: iters left: 2 (264 enodes) 1540196648.130 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540196648.130 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196648.131 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196648.131 * * [misc]simplify: iters left: 6 (21 enodes) 1540196648.136 * * [misc]simplify: iters left: 5 (30 enodes) 1540196648.145 * * [misc]simplify: iters left: 4 (49 enodes) 1540196648.158 * * [misc]simplify: iters left: 3 (97 enodes) 1540196648.181 * * [misc]simplify: iters left: 2 (184 enodes) 1540196648.249 * * [misc]simplify: iters left: 1 (323 enodes) 1540196648.389 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196648.389 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196648.389 * * * * [misc]progress: [ 780 / 6870 ] simplifiying candidate # 1540196648.389 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540196648.390 * * [misc]simplify: iters left: 6 (20 enodes) 1540196648.394 * * [misc]simplify: iters left: 5 (32 enodes) 1540196648.398 * * [misc]simplify: iters left: 4 (43 enodes) 1540196648.404 * * [misc]simplify: iters left: 3 (65 enodes) 1540196648.413 * * [misc]simplify: iters left: 2 (104 enodes) 1540196648.439 * * [misc]simplify: iters left: 1 (184 enodes) 1540196648.511 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) 1540196648.511 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196648.511 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196648.511 * * [misc]simplify: iters left: 6 (20 enodes) 1540196648.514 * * [misc]simplify: iters left: 5 (29 enodes) 1540196648.518 * * [misc]simplify: iters left: 4 (48 enodes) 1540196648.528 * * [misc]simplify: iters left: 3 (96 enodes) 1540196648.565 * * [misc]simplify: iters left: 2 (183 enodes) 1540196648.627 * * [misc]simplify: iters left: 1 (324 enodes) 1540196648.787 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196648.787 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196648.787 * * * * [misc]progress: [ 781 / 6870 ] simplifiying candidate # 1540196648.787 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196648.787 * * [misc]simplify: iters left: 6 (21 enodes) 1540196648.795 * * [misc]simplify: iters left: 5 (32 enodes) 1540196648.805 * * [misc]simplify: iters left: 4 (53 enodes) 1540196648.823 * * [misc]simplify: iters left: 3 (101 enodes) 1540196648.860 * * [misc]simplify: iters left: 2 (188 enodes) 1540196648.928 * * [misc]simplify: iters left: 1 (325 enodes) 1540196649.092 * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196649.092 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196649.092 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196649.092 * * [misc]simplify: iters left: 6 (21 enodes) 1540196649.095 * * [misc]simplify: iters left: 5 (30 enodes) 1540196649.099 * * [misc]simplify: iters left: 4 (49 enodes) 1540196649.106 * * [misc]simplify: iters left: 3 (97 enodes) 1540196649.125 * * [misc]simplify: iters left: 2 (184 enodes) 1540196649.177 * * [misc]simplify: iters left: 1 (323 enodes) 1540196649.351 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196649.352 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196649.352 * * * * [misc]progress: [ 782 / 6870 ] simplifiying candidate # 1540196649.352 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196649.352 * * [misc]simplify: iters left: 6 (21 enodes) 1540196649.356 * * [misc]simplify: iters left: 5 (32 enodes) 1540196649.361 * * [misc]simplify: iters left: 4 (53 enodes) 1540196649.370 * * [misc]simplify: iters left: 3 (101 enodes) 1540196649.388 * * [misc]simplify: iters left: 2 (188 enodes) 1540196649.468 * * [misc]simplify: iters left: 1 (325 enodes) 1540196649.607 * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196649.607 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196649.608 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196649.608 * * [misc]simplify: iters left: 6 (21 enodes) 1540196649.611 * * [misc]simplify: iters left: 5 (30 enodes) 1540196649.615 * * [misc]simplify: iters left: 4 (49 enodes) 1540196649.622 * * [misc]simplify: iters left: 3 (97 enodes) 1540196649.640 * * [misc]simplify: iters left: 2 (184 enodes) 1540196649.706 * * [misc]simplify: iters left: 1 (323 enodes) 1540196649.881 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196649.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196649.881 * * * * [misc]progress: [ 783 / 6870 ] simplifiying candidate # 1540196649.881 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196649.881 * * [misc]simplify: iters left: 6 (23 enodes) 1540196649.885 * * [misc]simplify: iters left: 5 (35 enodes) 1540196649.892 * * [misc]simplify: iters left: 4 (62 enodes) 1540196649.912 * * [misc]simplify: iters left: 3 (141 enodes) 1540196649.949 * * [misc]simplify: iters left: 2 (337 enodes) 1540196650.173 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196650.173 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196650.173 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196650.173 * * [misc]simplify: iters left: 6 (22 enodes) 1540196650.180 * * [misc]simplify: iters left: 5 (31 enodes) 1540196650.184 * * [misc]simplify: iters left: 4 (50 enodes) 1540196650.192 * * [misc]simplify: iters left: 3 (98 enodes) 1540196650.210 * * [misc]simplify: iters left: 2 (185 enodes) 1540196650.251 * * [misc]simplify: iters left: 1 (321 enodes) 1540196650.378 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196650.378 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196650.378 * * * * [misc]progress: [ 784 / 6870 ] simplifiying candidate # 1540196650.378 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196650.378 * * [misc]simplify: iters left: 6 (22 enodes) 1540196650.382 * * [misc]simplify: iters left: 5 (32 enodes) 1540196650.386 * * [misc]simplify: iters left: 4 (53 enodes) 1540196650.398 * * [misc]simplify: iters left: 3 (101 enodes) 1540196650.417 * * [misc]simplify: iters left: 2 (188 enodes) 1540196650.474 * * [misc]simplify: iters left: 1 (325 enodes) 1540196650.644 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540196650.645 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196650.645 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196650.645 * * [misc]simplify: iters left: 6 (22 enodes) 1540196650.652 * * [misc]simplify: iters left: 5 (31 enodes) 1540196650.661 * * [misc]simplify: iters left: 4 (50 enodes) 1540196650.676 * * [misc]simplify: iters left: 3 (98 enodes) 1540196650.713 * * [misc]simplify: iters left: 2 (185 enodes) 1540196650.785 * * [misc]simplify: iters left: 1 (321 enodes) 1540196650.962 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196650.962 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196650.962 * * * * [misc]progress: [ 785 / 6870 ] simplifiying candidate # 1540196650.962 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196650.962 * * [misc]simplify: iters left: 6 (21 enodes) 1540196650.969 * * [misc]simplify: iters left: 5 (33 enodes) 1540196650.978 * * [misc]simplify: iters left: 4 (56 enodes) 1540196650.994 * * [misc]simplify: iters left: 3 (82 enodes) 1540196651.017 * * [misc]simplify: iters left: 2 (144 enodes) 1540196651.090 * * [misc]simplify: iters left: 1 (302 enodes) 1540196651.264 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))))) 1540196651.264 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196651.265 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196651.265 * * [misc]simplify: iters left: 6 (21 enodes) 1540196651.271 * * [misc]simplify: iters left: 5 (30 enodes) 1540196651.280 * * [misc]simplify: iters left: 4 (49 enodes) 1540196651.294 * * [misc]simplify: iters left: 3 (97 enodes) 1540196651.313 * * [misc]simplify: iters left: 2 (184 enodes) 1540196651.354 * * [misc]simplify: iters left: 1 (323 enodes) 1540196651.486 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196651.486 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (sqrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196651.486 * * * * [misc]progress: [ 786 / 6870 ] simplifiying candidate # 1540196651.486 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196651.486 * * [misc]simplify: iters left: 6 (20 enodes) 1540196651.490 * * [misc]simplify: iters left: 5 (33 enodes) 1540196651.495 * * [misc]simplify: iters left: 4 (52 enodes) 1540196651.511 * * [misc]simplify: iters left: 3 (104 enodes) 1540196651.536 * * [misc]simplify: iters left: 2 (189 enodes) 1540196651.591 * * [misc]simplify: iters left: 1 (395 enodes) 1540196651.897 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k))))) 1540196651.897 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196651.897 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196651.897 * * [misc]simplify: iters left: 6 (20 enodes) 1540196651.903 * * [misc]simplify: iters left: 5 (29 enodes) 1540196651.909 * * [misc]simplify: iters left: 4 (48 enodes) 1540196651.917 * * [misc]simplify: iters left: 3 (96 enodes) 1540196651.935 * * [misc]simplify: iters left: 2 (183 enodes) 1540196651.997 * * [misc]simplify: iters left: 1 (324 enodes) 1540196652.193 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196652.193 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196652.193 * * * * [misc]progress: [ 787 / 6870 ] simplifiying candidate # 1540196652.193 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196652.194 * * [misc]simplify: iters left: 6 (20 enodes) 1540196652.201 * * [misc]simplify: iters left: 5 (33 enodes) 1540196652.210 * * [misc]simplify: iters left: 4 (52 enodes) 1540196652.227 * * [misc]simplify: iters left: 3 (104 enodes) 1540196652.264 * * [misc]simplify: iters left: 2 (189 enodes) 1540196652.361 * * [misc]simplify: iters left: 1 (395 enodes) 1540196652.609 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k))))) 1540196652.610 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196652.610 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196652.610 * * [misc]simplify: iters left: 6 (20 enodes) 1540196652.613 * * [misc]simplify: iters left: 5 (29 enodes) 1540196652.617 * * [misc]simplify: iters left: 4 (48 enodes) 1540196652.624 * * [misc]simplify: iters left: 3 (96 enodes) 1540196652.657 * * [misc]simplify: iters left: 2 (183 enodes) 1540196652.704 * * [misc]simplify: iters left: 1 (324 enodes) 1540196652.856 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196652.856 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196652.856 * * * * [misc]progress: [ 788 / 6870 ] simplifiying candidate # 1540196652.856 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196652.857 * * [misc]simplify: iters left: 6 (22 enodes) 1540196652.860 * * [misc]simplify: iters left: 5 (36 enodes) 1540196652.865 * * [misc]simplify: iters left: 4 (61 enodes) 1540196652.877 * * [misc]simplify: iters left: 3 (155 enodes) 1540196652.954 * * [misc]simplify: iters left: 2 (385 enodes) 1540196653.220 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196653.220 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196653.220 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196653.220 * * [misc]simplify: iters left: 6 (21 enodes) 1540196653.226 * * [misc]simplify: iters left: 5 (30 enodes) 1540196653.235 * * [misc]simplify: iters left: 4 (49 enodes) 1540196653.250 * * [misc]simplify: iters left: 3 (97 enodes) 1540196653.268 * * [misc]simplify: iters left: 2 (184 enodes) 1540196653.312 * * [misc]simplify: iters left: 1 (323 enodes) 1540196653.506 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196653.506 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196653.506 * * * * [misc]progress: [ 789 / 6870 ] simplifiying candidate # 1540196653.506 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196653.506 * * [misc]simplify: iters left: 6 (21 enodes) 1540196653.510 * * [misc]simplify: iters left: 5 (33 enodes) 1540196653.517 * * [misc]simplify: iters left: 4 (52 enodes) 1540196653.527 * * [misc]simplify: iters left: 3 (104 enodes) 1540196653.546 * * [misc]simplify: iters left: 2 (188 enodes) 1540196653.618 * * [misc]simplify: iters left: 1 (418 enodes) 1540196654.011 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196654.011 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196654.011 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196654.012 * * [misc]simplify: iters left: 6 (21 enodes) 1540196654.020 * * [misc]simplify: iters left: 5 (30 enodes) 1540196654.028 * * [misc]simplify: iters left: 4 (49 enodes) 1540196654.043 * * [misc]simplify: iters left: 3 (97 enodes) 1540196654.079 * * [misc]simplify: iters left: 2 (184 enodes) 1540196654.140 * * [misc]simplify: iters left: 1 (323 enodes) 1540196654.337 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196654.338 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196654.338 * * * * [misc]progress: [ 790 / 6870 ] simplifiying candidate # 1540196654.338 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540196654.338 * * [misc]simplify: iters left: 6 (19 enodes) 1540196654.344 * * [misc]simplify: iters left: 5 (29 enodes) 1540196654.353 * * [misc]simplify: iters left: 4 (40 enodes) 1540196654.364 * * [misc]simplify: iters left: 3 (53 enodes) 1540196654.377 * * [misc]simplify: iters left: 2 (67 enodes) 1540196654.394 * * [misc]simplify: iters left: 1 (88 enodes) 1540196654.421 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) 1540196654.421 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196654.422 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196654.422 * * [misc]simplify: iters left: 6 (20 enodes) 1540196654.428 * * [misc]simplify: iters left: 5 (29 enodes) 1540196654.436 * * [misc]simplify: iters left: 4 (48 enodes) 1540196654.449 * * [misc]simplify: iters left: 3 (96 enodes) 1540196654.467 * * [misc]simplify: iters left: 2 (183 enodes) 1540196654.516 * * [misc]simplify: iters left: 1 (324 enodes) 1540196654.700 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196654.700 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196654.700 * * * * [misc]progress: [ 791 / 6870 ] simplifiying candidate # 1540196654.700 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540196654.701 * * [misc]simplify: iters left: 6 (18 enodes) 1540196654.706 * * [misc]simplify: iters left: 5 (28 enodes) 1540196654.713 * * [misc]simplify: iters left: 4 (41 enodes) 1540196654.725 * * [misc]simplify: iters left: 3 (58 enodes) 1540196654.741 * * [misc]simplify: iters left: 2 (77 enodes) 1540196654.763 * * [misc]simplify: iters left: 1 (90 enodes) 1540196654.791 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196654.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196654.792 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196654.792 * * [misc]simplify: iters left: 6 (20 enodes) 1540196654.798 * * [misc]simplify: iters left: 5 (29 enodes) 1540196654.806 * * [misc]simplify: iters left: 4 (48 enodes) 1540196654.821 * * [misc]simplify: iters left: 3 (96 enodes) 1540196654.849 * * [misc]simplify: iters left: 2 (183 enodes) 1540196654.908 * * [misc]simplify: iters left: 1 (324 enodes) 1540196655.083 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196655.083 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196655.083 * * * * [misc]progress: [ 792 / 6870 ] simplifiying candidate # 1540196655.084 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540196655.084 * * [misc]simplify: iters left: 6 (18 enodes) 1540196655.089 * * [misc]simplify: iters left: 5 (26 enodes) 1540196655.096 * * [misc]simplify: iters left: 4 (39 enodes) 1540196655.107 * * [misc]simplify: iters left: 3 (54 enodes) 1540196655.121 * * [misc]simplify: iters left: 2 (71 enodes) 1540196655.141 * * [misc]simplify: iters left: 1 (88 enodes) 1540196655.167 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (fabs (cbrt (sqrt k))))) 1540196655.167 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196655.167 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196655.167 * * [misc]simplify: iters left: 6 (20 enodes) 1540196655.173 * * [misc]simplify: iters left: 5 (31 enodes) 1540196655.182 * * [misc]simplify: iters left: 4 (48 enodes) 1540196655.198 * * [misc]simplify: iters left: 3 (100 enodes) 1540196655.237 * * [misc]simplify: iters left: 2 (208 enodes) 1540196655.331 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (sqrt (cbrt (sqrt k)))) 1540196655.331 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt PI)) (fabs (cbrt (sqrt k))))) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (sqrt (cbrt (sqrt k)))))) 1540196655.331 * * * * [misc]progress: [ 793 / 6870 ] simplifiying candidate # 1540196655.331 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196655.332 * * [misc]simplify: iters left: 6 (20 enodes) 1540196655.338 * * [misc]simplify: iters left: 5 (31 enodes) 1540196655.348 * * [misc]simplify: iters left: 4 (52 enodes) 1540196655.365 * * [misc]simplify: iters left: 3 (100 enodes) 1540196655.385 * * [misc]simplify: iters left: 2 (187 enodes) 1540196655.432 * * [misc]simplify: iters left: 1 (322 enodes) 1540196655.604 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196655.604 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196655.604 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196655.604 * * [misc]simplify: iters left: 6 (18 enodes) 1540196655.607 * * [misc]simplify: iters left: 5 (25 enodes) 1540196655.610 * * [misc]simplify: iters left: 4 (36 enodes) 1540196655.615 * * [misc]simplify: iters left: 3 (51 enodes) 1540196655.622 * * [misc]simplify: iters left: 2 (68 enodes) 1540196655.640 * * [misc]simplify: iters left: 1 (85 enodes) 1540196655.660 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (cbrt (sqrt k))) (pow 2 (/ k 2)))) 1540196655.660 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (cbrt (sqrt k))) (pow 2 (/ k 2)))))) 1540196655.660 * * * * [misc]progress: [ 794 / 6870 ] simplifiying candidate # 1540196655.660 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196655.660 * * [misc]simplify: iters left: 6 (20 enodes) 1540196655.663 * * [misc]simplify: iters left: 5 (31 enodes) 1540196655.668 * * [misc]simplify: iters left: 4 (50 enodes) 1540196655.677 * * [misc]simplify: iters left: 3 (96 enodes) 1540196655.702 * * [misc]simplify: iters left: 2 (202 enodes) 1540196655.788 * * [misc]simplify: iters left: 1 (327 enodes) 1540196655.908 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (fabs (cbrt (sqrt k))))) 1540196655.908 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196655.909 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196655.909 * * [misc]simplify: iters left: 6 (20 enodes) 1540196655.914 * * [misc]simplify: iters left: 5 (27 enodes) 1540196655.921 * * [misc]simplify: iters left: 4 (38 enodes) 1540196655.932 * * [misc]simplify: iters left: 3 (53 enodes) 1540196655.946 * * [misc]simplify: iters left: 2 (70 enodes) 1540196655.965 * * [misc]simplify: iters left: 1 (87 enodes) 1540196655.989 * [exit]simplify: Simplified to (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196655.989 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (fabs (cbrt (sqrt k))))) (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196655.989 * * * * [misc]progress: [ 795 / 6870 ] simplifiying candidate # 1540196655.990 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196655.990 * * [misc]simplify: iters left: 6 (19 enodes) 1540196655.996 * * [misc]simplify: iters left: 5 (28 enodes) 1540196656.005 * * [misc]simplify: iters left: 4 (41 enodes) 1540196656.017 * * [misc]simplify: iters left: 3 (50 enodes) 1540196656.029 * * [misc]simplify: iters left: 2 (67 enodes) 1540196656.048 * * [misc]simplify: iters left: 1 (86 enodes) 1540196656.074 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196656.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196656.074 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196656.074 * * [misc]simplify: iters left: 6 (20 enodes) 1540196656.080 * * [misc]simplify: iters left: 5 (27 enodes) 1540196656.087 * * [misc]simplify: iters left: 4 (38 enodes) 1540196656.092 * * [misc]simplify: iters left: 3 (53 enodes) 1540196656.099 * * [misc]simplify: iters left: 2 (70 enodes) 1540196656.108 * * [misc]simplify: iters left: 1 (87 enodes) 1540196656.122 * [exit]simplify: Simplified to (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196656.122 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196656.122 * * * * [misc]progress: [ 796 / 6870 ] simplifiying candidate # 1540196656.122 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196656.122 * * [misc]simplify: iters left: 6 (18 enodes) 1540196656.125 * * [misc]simplify: iters left: 5 (30 enodes) 1540196656.130 * * [misc]simplify: iters left: 4 (56 enodes) 1540196656.141 * * [misc]simplify: iters left: 3 (136 enodes) 1540196656.207 * * [misc]simplify: iters left: 2 (393 enodes) 1540196656.587 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196656.588 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196656.588 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196656.588 * * [misc]simplify: iters left: 6 (20 enodes) 1540196656.594 * * [misc]simplify: iters left: 5 (29 enodes) 1540196656.603 * * [misc]simplify: iters left: 4 (48 enodes) 1540196656.618 * * [misc]simplify: iters left: 3 (96 enodes) 1540196656.653 * * [misc]simplify: iters left: 2 (183 enodes) 1540196656.705 * * [misc]simplify: iters left: 1 (323 enodes) 1540196656.882 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196656.882 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196656.882 * * * * [misc]progress: [ 797 / 6870 ] simplifiying candidate # 1540196656.882 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196656.882 * * [misc]simplify: iters left: 6 (18 enodes) 1540196656.889 * * [misc]simplify: iters left: 5 (30 enodes) 1540196656.899 * * [misc]simplify: iters left: 4 (56 enodes) 1540196656.919 * * [misc]simplify: iters left: 3 (136 enodes) 1540196656.990 * * [misc]simplify: iters left: 2 (393 enodes) 1540196657.420 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196657.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196657.421 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196657.421 * * [misc]simplify: iters left: 6 (20 enodes) 1540196657.426 * * [misc]simplify: iters left: 5 (29 enodes) 1540196657.435 * * [misc]simplify: iters left: 4 (48 enodes) 1540196657.450 * * [misc]simplify: iters left: 3 (96 enodes) 1540196657.468 * * [misc]simplify: iters left: 2 (183 enodes) 1540196657.523 * * [misc]simplify: iters left: 1 (323 enodes) 1540196657.711 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196657.711 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196657.712 * * * * [misc]progress: [ 798 / 6870 ] simplifiying candidate # 1540196657.712 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196657.712 * * [misc]simplify: iters left: 6 (22 enodes) 1540196657.719 * * [misc]simplify: iters left: 5 (39 enodes) 1540196657.731 * * [misc]simplify: iters left: 4 (87 enodes) 1540196657.764 * * [misc]simplify: iters left: 3 (229 enodes) 1540196657.865 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196657.865 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196657.865 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196657.865 * * [misc]simplify: iters left: 6 (21 enodes) 1540196657.871 * * [misc]simplify: iters left: 5 (30 enodes) 1540196657.880 * * [misc]simplify: iters left: 4 (49 enodes) 1540196657.895 * * [misc]simplify: iters left: 3 (97 enodes) 1540196657.933 * * [misc]simplify: iters left: 2 (184 enodes) 1540196658.012 * * [misc]simplify: iters left: 1 (321 enodes) 1540196658.153 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))) 1540196658.153 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1540196658.153 * * * * [misc]progress: [ 799 / 6870 ] simplifiying candidate # 1540196658.153 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196658.153 * * [misc]simplify: iters left: 6 (21 enodes) 1540196658.156 * * [misc]simplify: iters left: 5 (34 enodes) 1540196658.162 * * [misc]simplify: iters left: 4 (63 enodes) 1540196658.172 * * [misc]simplify: iters left: 3 (141 enodes) 1540196658.228 * * [misc]simplify: iters left: 2 (326 enodes) 1540196658.505 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))))) 1540196658.505 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196658.505 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196658.505 * * [misc]simplify: iters left: 6 (21 enodes) 1540196658.511 * * [misc]simplify: iters left: 5 (30 enodes) 1540196658.520 * * [misc]simplify: iters left: 4 (49 enodes) 1540196658.535 * * [misc]simplify: iters left: 3 (97 enodes) 1540196658.574 * * [misc]simplify: iters left: 2 (184 enodes) 1540196658.632 * * [misc]simplify: iters left: 1 (321 enodes) 1540196658.775 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))) 1540196658.775 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1540196658.775 * * * * [misc]progress: [ 800 / 6870 ] simplifiying candidate # 1540196658.775 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196658.775 * * [misc]simplify: iters left: 6 (16 enodes) 1540196658.778 * * [misc]simplify: iters left: 5 (27 enodes) 1540196658.783 * * [misc]simplify: iters left: 4 (46 enodes) 1540196658.796 * * [misc]simplify: iters left: 3 (105 enodes) 1540196658.838 * * [misc]simplify: iters left: 2 (268 enodes) 1540196658.968 * * [misc]simplify: iters left: 1 (454 enodes) 1540196659.095 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196659.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196659.095 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196659.095 * * [misc]simplify: iters left: 6 (20 enodes) 1540196659.098 * * [misc]simplify: iters left: 5 (29 enodes) 1540196659.102 * * [misc]simplify: iters left: 4 (48 enodes) 1540196659.110 * * [misc]simplify: iters left: 3 (96 enodes) 1540196659.144 * * [misc]simplify: iters left: 2 (183 enodes) 1540196659.201 * * [misc]simplify: iters left: 1 (323 enodes) 1540196659.381 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196659.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196659.381 * * * * [misc]progress: [ 801 / 6870 ] simplifiying candidate # 1540196659.381 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196659.381 * * [misc]simplify: iters left: 6 (15 enodes) 1540196659.384 * * [misc]simplify: iters left: 5 (25 enodes) 1540196659.388 * * [misc]simplify: iters left: 4 (43 enodes) 1540196659.395 * * [misc]simplify: iters left: 3 (72 enodes) 1540196659.415 * * [misc]simplify: iters left: 2 (107 enodes) 1540196659.455 * * [misc]simplify: iters left: 1 (177 enodes) 1540196659.541 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) 1540196659.541 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196659.541 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196659.541 * * [misc]simplify: iters left: 6 (18 enodes) 1540196659.544 * * [misc]simplify: iters left: 5 (27 enodes) 1540196659.547 * * [misc]simplify: iters left: 4 (45 enodes) 1540196659.554 * * [misc]simplify: iters left: 3 (90 enodes) 1540196659.571 * * [misc]simplify: iters left: 2 (155 enodes) 1540196659.621 * * [misc]simplify: iters left: 1 (239 enodes) 1540196659.713 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540196659.713 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))))) 1540196659.713 * * * * [misc]progress: [ 802 / 6870 ] simplifiying candidate # 1540196659.714 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196659.714 * * [misc]simplify: iters left: 6 (15 enodes) 1540196659.720 * * [misc]simplify: iters left: 5 (25 enodes) 1540196659.728 * * [misc]simplify: iters left: 4 (43 enodes) 1540196659.742 * * [misc]simplify: iters left: 3 (72 enodes) 1540196659.765 * * [misc]simplify: iters left: 2 (107 enodes) 1540196659.809 * * [misc]simplify: iters left: 1 (177 enodes) 1540196659.876 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) 1540196659.876 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196659.877 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196659.877 * * [misc]simplify: iters left: 6 (18 enodes) 1540196659.879 * * [misc]simplify: iters left: 5 (27 enodes) 1540196659.883 * * [misc]simplify: iters left: 4 (45 enodes) 1540196659.890 * * [misc]simplify: iters left: 3 (90 enodes) 1540196659.906 * * [misc]simplify: iters left: 2 (155 enodes) 1540196659.946 * * [misc]simplify: iters left: 1 (239 enodes) 1540196660.061 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540196660.061 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))))) 1540196660.061 * * * * [misc]progress: [ 803 / 6870 ] simplifiying candidate # 1540196660.061 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196660.062 * * [misc]simplify: iters left: 6 (19 enodes) 1540196660.068 * * [misc]simplify: iters left: 5 (32 enodes) 1540196660.077 * * [misc]simplify: iters left: 4 (61 enodes) 1540196660.086 * * [misc]simplify: iters left: 3 (125 enodes) 1540196660.111 * * [misc]simplify: iters left: 2 (222 enodes) 1540196660.227 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196660.227 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196660.227 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196660.227 * * [misc]simplify: iters left: 6 (19 enodes) 1540196660.233 * * [misc]simplify: iters left: 5 (28 enodes) 1540196660.244 * * [misc]simplify: iters left: 4 (46 enodes) 1540196660.258 * * [misc]simplify: iters left: 3 (91 enodes) 1540196660.291 * * [misc]simplify: iters left: 2 (156 enodes) 1540196660.343 * * [misc]simplify: iters left: 1 (239 enodes) 1540196660.445 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196660.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196660.445 * * * * [misc]progress: [ 804 / 6870 ] simplifiying candidate # 1540196660.446 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196660.446 * * [misc]simplify: iters left: 6 (18 enodes) 1540196660.451 * * [misc]simplify: iters left: 5 (29 enodes) 1540196660.460 * * [misc]simplify: iters left: 4 (50 enodes) 1540196660.474 * * [misc]simplify: iters left: 3 (78 enodes) 1540196660.500 * * [misc]simplify: iters left: 2 (106 enodes) 1540196660.532 * * [misc]simplify: iters left: 1 (165 enodes) 1540196660.592 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) 1540196660.592 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196660.593 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196660.593 * * [misc]simplify: iters left: 6 (19 enodes) 1540196660.595 * * [misc]simplify: iters left: 5 (28 enodes) 1540196660.599 * * [misc]simplify: iters left: 4 (46 enodes) 1540196660.606 * * [misc]simplify: iters left: 3 (91 enodes) 1540196660.623 * * [misc]simplify: iters left: 2 (156 enodes) 1540196660.684 * * [misc]simplify: iters left: 1 (239 enodes) 1540196660.773 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196660.773 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196660.773 * * * * [misc]progress: [ 805 / 6870 ] simplifiying candidate # 1540196660.774 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196660.774 * * [misc]simplify: iters left: 6 (12 enodes) 1540196660.778 * * [misc]simplify: iters left: 5 (20 enodes) 1540196660.782 * * [misc]simplify: iters left: 4 (29 enodes) 1540196660.786 * * [misc]simplify: iters left: 3 (43 enodes) 1540196660.792 * * [misc]simplify: iters left: 2 (69 enodes) 1540196660.803 * * [misc]simplify: iters left: 1 (99 enodes) 1540196660.825 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1540196660.825 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196660.825 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196660.825 * * [misc]simplify: iters left: 6 (18 enodes) 1540196660.828 * * [misc]simplify: iters left: 5 (27 enodes) 1540196660.832 * * [misc]simplify: iters left: 4 (45 enodes) 1540196660.839 * * [misc]simplify: iters left: 3 (90 enodes) 1540196660.862 * * [misc]simplify: iters left: 2 (155 enodes) 1540196660.927 * * [misc]simplify: iters left: 1 (239 enodes) 1540196661.019 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) 1540196661.019 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))))) 1540196661.019 * * * * [misc]progress: [ 806 / 6870 ] simplifiying candidate # 1540196661.019 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196661.019 * * [misc]simplify: iters left: 6 (17 enodes) 1540196661.023 * * [misc]simplify: iters left: 5 (27 enodes) 1540196661.028 * * [misc]simplify: iters left: 4 (44 enodes) 1540196661.034 * * [misc]simplify: iters left: 3 (81 enodes) 1540196661.058 * * [misc]simplify: iters left: 2 (146 enodes) 1540196661.126 * * [misc]simplify: iters left: 1 (226 enodes) 1540196661.218 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) 1540196661.218 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196661.219 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196661.219 * * [misc]simplify: iters left: 6 (20 enodes) 1540196661.225 * * [misc]simplify: iters left: 5 (29 enodes) 1540196661.232 * * [misc]simplify: iters left: 4 (48 enodes) 1540196661.240 * * [misc]simplify: iters left: 3 (96 enodes) 1540196661.258 * * [misc]simplify: iters left: 2 (183 enodes) 1540196661.318 * * [misc]simplify: iters left: 1 (323 enodes) 1540196661.486 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196661.486 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196661.486 * * * * [misc]progress: [ 807 / 6870 ] simplifiying candidate # 1540196661.487 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196661.487 * * [misc]simplify: iters left: 6 (17 enodes) 1540196661.493 * * [misc]simplify: iters left: 5 (27 enodes) 1540196661.501 * * [misc]simplify: iters left: 4 (44 enodes) 1540196661.514 * * [misc]simplify: iters left: 3 (81 enodes) 1540196661.542 * * [misc]simplify: iters left: 2 (146 enodes) 1540196661.599 * * [misc]simplify: iters left: 1 (226 enodes) 1540196661.667 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) 1540196661.668 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196661.668 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196661.668 * * [misc]simplify: iters left: 6 (20 enodes) 1540196661.671 * * [misc]simplify: iters left: 5 (29 enodes) 1540196661.675 * * [misc]simplify: iters left: 4 (48 enodes) 1540196661.682 * * [misc]simplify: iters left: 3 (96 enodes) 1540196661.699 * * [misc]simplify: iters left: 2 (183 enodes) 1540196661.746 * * [misc]simplify: iters left: 1 (323 enodes) 1540196661.900 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196661.900 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196661.900 * * * * [misc]progress: [ 808 / 6870 ] simplifiying candidate # 1540196661.901 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196661.901 * * [misc]simplify: iters left: 6 (21 enodes) 1540196661.904 * * [misc]simplify: iters left: 5 (34 enodes) 1540196661.909 * * [misc]simplify: iters left: 4 (60 enodes) 1540196661.919 * * [misc]simplify: iters left: 3 (127 enodes) 1540196661.960 * * [misc]simplify: iters left: 2 (292 enodes) 1540196662.101 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196662.101 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196662.102 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196662.102 * * [misc]simplify: iters left: 6 (21 enodes) 1540196662.105 * * [misc]simplify: iters left: 5 (30 enodes) 1540196662.109 * * [misc]simplify: iters left: 4 (49 enodes) 1540196662.116 * * [misc]simplify: iters left: 3 (97 enodes) 1540196662.134 * * [misc]simplify: iters left: 2 (184 enodes) 1540196662.192 * * [misc]simplify: iters left: 1 (321 enodes) 1540196662.381 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))) 1540196662.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1540196662.381 * * * * [misc]progress: [ 809 / 6870 ] simplifiying candidate # 1540196662.381 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196662.381 * * [misc]simplify: iters left: 6 (20 enodes) 1540196662.387 * * [misc]simplify: iters left: 5 (31 enodes) 1540196662.395 * * [misc]simplify: iters left: 4 (51 enodes) 1540196662.407 * * [misc]simplify: iters left: 3 (99 enodes) 1540196662.437 * * [misc]simplify: iters left: 2 (168 enodes) 1540196662.500 * * [misc]simplify: iters left: 1 (277 enodes) 1540196662.608 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540196662.608 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196662.608 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196662.609 * * [misc]simplify: iters left: 6 (21 enodes) 1540196662.615 * * [misc]simplify: iters left: 5 (30 enodes) 1540196662.624 * * [misc]simplify: iters left: 4 (49 enodes) 1540196662.639 * * [misc]simplify: iters left: 3 (97 enodes) 1540196662.675 * * [misc]simplify: iters left: 2 (184 enodes) 1540196662.757 * * [misc]simplify: iters left: 1 (321 enodes) 1540196662.914 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))) 1540196662.914 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1540196662.914 * * * * [misc]progress: [ 810 / 6870 ] simplifiying candidate # 1540196662.914 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196662.914 * * [misc]simplify: iters left: 6 (15 enodes) 1540196662.917 * * [misc]simplify: iters left: 5 (24 enodes) 1540196662.921 * * [misc]simplify: iters left: 4 (39 enodes) 1540196662.931 * * [misc]simplify: iters left: 3 (52 enodes) 1540196662.942 * * [misc]simplify: iters left: 2 (63 enodes) 1540196662.959 * * [misc]simplify: iters left: 1 (86 enodes) 1540196662.974 * [exit]simplify: Simplified to (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196662.974 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196662.975 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196662.975 * * [misc]simplify: iters left: 6 (20 enodes) 1540196662.978 * * [misc]simplify: iters left: 5 (29 enodes) 1540196662.981 * * [misc]simplify: iters left: 4 (48 enodes) 1540196662.990 * * [misc]simplify: iters left: 3 (96 enodes) 1540196663.008 * * [misc]simplify: iters left: 2 (183 enodes) 1540196663.049 * * [misc]simplify: iters left: 1 (323 enodes) 1540196663.178 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196663.178 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196663.178 * * * * [misc]progress: [ 811 / 6870 ] simplifiying candidate # 1540196663.178 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540196663.178 * * [misc]simplify: iters left: 6 (16 enodes) 1540196663.182 * * [misc]simplify: iters left: 5 (26 enodes) 1540196663.186 * * [misc]simplify: iters left: 4 (44 enodes) 1540196663.196 * * [misc]simplify: iters left: 3 (86 enodes) 1540196663.217 * * [misc]simplify: iters left: 2 (133 enodes) 1540196663.251 * * [misc]simplify: iters left: 1 (199 enodes) 1540196663.346 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540196663.346 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196663.346 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196663.346 * * [misc]simplify: iters left: 6 (19 enodes) 1540196663.349 * * [misc]simplify: iters left: 5 (28 enodes) 1540196663.354 * * [misc]simplify: iters left: 4 (47 enodes) 1540196663.369 * * [misc]simplify: iters left: 3 (95 enodes) 1540196663.392 * * [misc]simplify: iters left: 2 (182 enodes) 1540196663.433 * * [misc]simplify: iters left: 1 (317 enodes) 1540196663.571 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196663.571 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196663.571 * * * * [misc]progress: [ 812 / 6870 ] simplifiying candidate # 1540196663.571 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540196663.571 * * [misc]simplify: iters left: 6 (16 enodes) 1540196663.578 * * [misc]simplify: iters left: 5 (26 enodes) 1540196663.586 * * [misc]simplify: iters left: 4 (44 enodes) 1540196663.600 * * [misc]simplify: iters left: 3 (86 enodes) 1540196663.639 * * [misc]simplify: iters left: 2 (133 enodes) 1540196663.686 * * [misc]simplify: iters left: 1 (199 enodes) 1540196663.760 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540196663.760 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196663.761 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196663.761 * * [misc]simplify: iters left: 6 (19 enodes) 1540196663.763 * * [misc]simplify: iters left: 5 (28 enodes) 1540196663.768 * * [misc]simplify: iters left: 4 (47 enodes) 1540196663.782 * * [misc]simplify: iters left: 3 (95 enodes) 1540196663.819 * * [misc]simplify: iters left: 2 (182 enodes) 1540196663.874 * * [misc]simplify: iters left: 1 (317 enodes) 1540196664.007 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196664.007 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196664.007 * * * * [misc]progress: [ 813 / 6870 ] simplifiying candidate # 1540196664.008 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196664.008 * * [misc]simplify: iters left: 6 (20 enodes) 1540196664.015 * * [misc]simplify: iters left: 5 (33 enodes) 1540196664.026 * * [misc]simplify: iters left: 4 (61 enodes) 1540196664.046 * * [misc]simplify: iters left: 3 (138 enodes) 1540196664.100 * * [misc]simplify: iters left: 2 (324 enodes) 1540196664.408 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) 1540196664.408 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196664.408 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196664.408 * * [misc]simplify: iters left: 6 (20 enodes) 1540196664.411 * * [misc]simplify: iters left: 5 (29 enodes) 1540196664.415 * * [misc]simplify: iters left: 4 (48 enodes) 1540196664.423 * * [misc]simplify: iters left: 3 (96 enodes) 1540196664.456 * * [misc]simplify: iters left: 2 (183 enodes) 1540196664.538 * * [misc]simplify: iters left: 1 (321 enodes) 1540196664.743 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196664.743 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196664.744 * * * * [misc]progress: [ 814 / 6870 ] simplifiying candidate # 1540196664.744 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196664.744 * * [misc]simplify: iters left: 6 (19 enodes) 1540196664.747 * * [misc]simplify: iters left: 5 (30 enodes) 1540196664.752 * * [misc]simplify: iters left: 4 (51 enodes) 1540196664.760 * * [misc]simplify: iters left: 3 (93 enodes) 1540196664.790 * * [misc]simplify: iters left: 2 (159 enodes) 1540196664.900 * * [misc]simplify: iters left: 1 (329 enodes) 1540196665.157 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) 1540196665.157 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196665.157 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196665.157 * * [misc]simplify: iters left: 6 (20 enodes) 1540196665.160 * * [misc]simplify: iters left: 5 (29 enodes) 1540196665.164 * * [misc]simplify: iters left: 4 (48 enodes) 1540196665.172 * * [misc]simplify: iters left: 3 (96 enodes) 1540196665.193 * * [misc]simplify: iters left: 2 (183 enodes) 1540196665.275 * * [misc]simplify: iters left: 1 (321 enodes) 1540196665.459 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196665.459 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196665.459 * * * * [misc]progress: [ 815 / 6870 ] simplifiying candidate # 1540196665.460 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt 1) 1)) 1540196665.460 * * [misc]simplify: iters left: 6 (14 enodes) 1540196665.465 * * [misc]simplify: iters left: 5 (23 enodes) 1540196665.470 * * [misc]simplify: iters left: 4 (32 enodes) 1540196665.473 * * [misc]simplify: iters left: 3 (40 enodes) 1540196665.478 * * [misc]simplify: iters left: 2 (50 enodes) 1540196665.484 * * [misc]simplify: iters left: 1 (61 enodes) 1540196665.494 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540196665.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196665.494 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196665.494 * * [misc]simplify: iters left: 6 (19 enodes) 1540196665.496 * * [misc]simplify: iters left: 5 (28 enodes) 1540196665.501 * * [misc]simplify: iters left: 4 (47 enodes) 1540196665.518 * * [misc]simplify: iters left: 3 (95 enodes) 1540196665.541 * * [misc]simplify: iters left: 2 (182 enodes) 1540196665.582 * * [misc]simplify: iters left: 1 (317 enodes) 1540196665.759 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196665.759 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196665.759 * * * * [misc]progress: [ 816 / 6870 ] simplifiying candidate # 1540196665.760 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196665.760 * * [misc]simplify: iters left: 6 (17 enodes) 1540196665.766 * * [misc]simplify: iters left: 5 (27 enodes) 1540196665.775 * * [misc]simplify: iters left: 4 (44 enodes) 1540196665.788 * * [misc]simplify: iters left: 3 (81 enodes) 1540196665.805 * * [misc]simplify: iters left: 2 (146 enodes) 1540196665.862 * * [misc]simplify: iters left: 1 (226 enodes) 1540196665.986 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) 1540196665.986 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196665.986 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196665.986 * * [misc]simplify: iters left: 6 (20 enodes) 1540196665.992 * * [misc]simplify: iters left: 5 (29 enodes) 1540196666.002 * * [misc]simplify: iters left: 4 (48 enodes) 1540196666.017 * * [misc]simplify: iters left: 3 (96 enodes) 1540196666.054 * * [misc]simplify: iters left: 2 (183 enodes) 1540196666.136 * * [misc]simplify: iters left: 1 (323 enodes) 1540196666.325 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196666.325 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196666.325 * * * * [misc]progress: [ 817 / 6870 ] simplifiying candidate # 1540196666.325 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196666.325 * * [misc]simplify: iters left: 6 (17 enodes) 1540196666.331 * * [misc]simplify: iters left: 5 (27 enodes) 1540196666.338 * * [misc]simplify: iters left: 4 (44 enodes) 1540196666.351 * * [misc]simplify: iters left: 3 (81 enodes) 1540196666.372 * * [misc]simplify: iters left: 2 (146 enodes) 1540196666.411 * * [misc]simplify: iters left: 1 (226 enodes) 1540196666.504 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) 1540196666.504 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196666.504 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196666.504 * * [misc]simplify: iters left: 6 (20 enodes) 1540196666.511 * * [misc]simplify: iters left: 5 (29 enodes) 1540196666.520 * * [misc]simplify: iters left: 4 (48 enodes) 1540196666.535 * * [misc]simplify: iters left: 3 (96 enodes) 1540196666.566 * * [misc]simplify: iters left: 2 (183 enodes) 1540196666.625 * * [misc]simplify: iters left: 1 (323 enodes) 1540196666.771 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196666.771 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt 2) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196666.771 * * * * [misc]progress: [ 818 / 6870 ] simplifiying candidate # 1540196666.771 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196666.772 * * [misc]simplify: iters left: 6 (21 enodes) 1540196666.778 * * [misc]simplify: iters left: 5 (34 enodes) 1540196666.789 * * [misc]simplify: iters left: 4 (60 enodes) 1540196666.808 * * [misc]simplify: iters left: 3 (127 enodes) 1540196666.859 * * [misc]simplify: iters left: 2 (292 enodes) 1540196667.008 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196667.008 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196667.008 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196667.008 * * [misc]simplify: iters left: 6 (21 enodes) 1540196667.011 * * [misc]simplify: iters left: 5 (30 enodes) 1540196667.016 * * [misc]simplify: iters left: 4 (49 enodes) 1540196667.031 * * [misc]simplify: iters left: 3 (97 enodes) 1540196667.065 * * [misc]simplify: iters left: 2 (184 enodes) 1540196667.121 * * [misc]simplify: iters left: 1 (321 enodes) 1540196667.272 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))) 1540196667.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1540196667.272 * * * * [misc]progress: [ 819 / 6870 ] simplifiying candidate # 1540196667.272 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196667.272 * * [misc]simplify: iters left: 6 (20 enodes) 1540196667.275 * * [misc]simplify: iters left: 5 (31 enodes) 1540196667.280 * * [misc]simplify: iters left: 4 (51 enodes) 1540196667.288 * * [misc]simplify: iters left: 3 (99 enodes) 1540196667.315 * * [misc]simplify: iters left: 2 (168 enodes) 1540196667.374 * * [misc]simplify: iters left: 1 (277 enodes) 1540196667.515 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540196667.515 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196667.516 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196667.516 * * [misc]simplify: iters left: 6 (21 enodes) 1540196667.522 * * [misc]simplify: iters left: 5 (30 enodes) 1540196667.531 * * [misc]simplify: iters left: 4 (49 enodes) 1540196667.546 * * [misc]simplify: iters left: 3 (97 enodes) 1540196667.582 * * [misc]simplify: iters left: 2 (184 enodes) 1540196667.632 * * [misc]simplify: iters left: 1 (321 enodes) 1540196667.846 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))) 1540196667.846 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))))))) 1540196667.846 * * * * [misc]progress: [ 820 / 6870 ] simplifiying candidate # 1540196667.847 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196667.847 * * [misc]simplify: iters left: 6 (15 enodes) 1540196667.851 * * [misc]simplify: iters left: 5 (24 enodes) 1540196667.859 * * [misc]simplify: iters left: 4 (39 enodes) 1540196667.870 * * [misc]simplify: iters left: 3 (52 enodes) 1540196667.881 * * [misc]simplify: iters left: 2 (63 enodes) 1540196667.899 * * [misc]simplify: iters left: 1 (86 enodes) 1540196667.915 * [exit]simplify: Simplified to (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196667.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196667.915 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196667.915 * * [misc]simplify: iters left: 6 (20 enodes) 1540196667.920 * * [misc]simplify: iters left: 5 (29 enodes) 1540196667.924 * * [misc]simplify: iters left: 4 (48 enodes) 1540196667.932 * * [misc]simplify: iters left: 3 (96 enodes) 1540196667.970 * * [misc]simplify: iters left: 2 (183 enodes) 1540196668.053 * * [misc]simplify: iters left: 1 (323 enodes) 1540196668.272 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196668.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (fabs (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196668.272 * * * * [misc]progress: [ 821 / 6870 ] simplifiying candidate # 1540196668.272 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ 1 (pow 2 1/2))) 1540196668.273 * * [misc]simplify: iters left: 6 (15 enodes) 1540196668.278 * * [misc]simplify: iters left: 5 (25 enodes) 1540196668.289 * * [misc]simplify: iters left: 4 (40 enodes) 1540196668.301 * * [misc]simplify: iters left: 3 (70 enodes) 1540196668.329 * * [misc]simplify: iters left: 2 (107 enodes) 1540196668.384 * * [misc]simplify: iters left: 1 (169 enodes) 1540196668.494 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540196668.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196668.494 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196668.495 * * [misc]simplify: iters left: 6 (19 enodes) 1540196668.500 * * [misc]simplify: iters left: 5 (28 enodes) 1540196668.509 * * [misc]simplify: iters left: 4 (47 enodes) 1540196668.523 * * [misc]simplify: iters left: 3 (95 enodes) 1540196668.562 * * [misc]simplify: iters left: 2 (182 enodes) 1540196668.634 * * [misc]simplify: iters left: 1 (317 enodes) 1540196668.746 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196668.746 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196668.746 * * * * [misc]progress: [ 822 / 6870 ] simplifiying candidate # 1540196668.746 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ 1 (pow 2 1/2))) 1540196668.746 * * [misc]simplify: iters left: 6 (15 enodes) 1540196668.749 * * [misc]simplify: iters left: 5 (25 enodes) 1540196668.754 * * [misc]simplify: iters left: 4 (40 enodes) 1540196668.760 * * [misc]simplify: iters left: 3 (70 enodes) 1540196668.774 * * [misc]simplify: iters left: 2 (107 enodes) 1540196668.819 * * [misc]simplify: iters left: 1 (169 enodes) 1540196668.929 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540196668.929 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196668.929 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196668.930 * * [misc]simplify: iters left: 6 (19 enodes) 1540196668.935 * * [misc]simplify: iters left: 5 (28 enodes) 1540196668.944 * * [misc]simplify: iters left: 4 (47 enodes) 1540196668.958 * * [misc]simplify: iters left: 3 (95 enodes) 1540196668.983 * * [misc]simplify: iters left: 2 (182 enodes) 1540196669.025 * * [misc]simplify: iters left: 1 (317 enodes) 1540196669.162 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196669.162 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196669.162 * * * * [misc]progress: [ 823 / 6870 ] simplifiying candidate # 1540196669.162 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196669.162 * * [misc]simplify: iters left: 6 (19 enodes) 1540196669.167 * * [misc]simplify: iters left: 5 (32 enodes) 1540196669.177 * * [misc]simplify: iters left: 4 (56 enodes) 1540196669.195 * * [misc]simplify: iters left: 3 (113 enodes) 1540196669.244 * * [misc]simplify: iters left: 2 (257 enodes) 1540196669.462 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI)))) 1540196669.462 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196669.462 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196669.463 * * [misc]simplify: iters left: 6 (20 enodes) 1540196669.469 * * [misc]simplify: iters left: 5 (29 enodes) 1540196669.476 * * [misc]simplify: iters left: 4 (48 enodes) 1540196669.483 * * [misc]simplify: iters left: 3 (96 enodes) 1540196669.501 * * [misc]simplify: iters left: 2 (183 enodes) 1540196669.566 * * [misc]simplify: iters left: 1 (321 enodes) 1540196669.726 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196669.726 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196669.726 * * * * [misc]progress: [ 824 / 6870 ] simplifiying candidate # 1540196669.727 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196669.727 * * [misc]simplify: iters left: 6 (18 enodes) 1540196669.732 * * [misc]simplify: iters left: 5 (29 enodes) 1540196669.742 * * [misc]simplify: iters left: 4 (47 enodes) 1540196669.753 * * [misc]simplify: iters left: 3 (73 enodes) 1540196669.766 * * [misc]simplify: iters left: 2 (123 enodes) 1540196669.816 * * [misc]simplify: iters left: 1 (238 enodes) 1540196669.917 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) 1540196669.917 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196669.918 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196669.918 * * [misc]simplify: iters left: 6 (20 enodes) 1540196669.924 * * [misc]simplify: iters left: 5 (29 enodes) 1540196669.932 * * [misc]simplify: iters left: 4 (48 enodes) 1540196669.946 * * [misc]simplify: iters left: 3 (96 enodes) 1540196669.970 * * [misc]simplify: iters left: 2 (183 enodes) 1540196670.034 * * [misc]simplify: iters left: 1 (321 enodes) 1540196670.222 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196670.222 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196670.222 * * * * [misc]progress: [ 825 / 6870 ] simplifiying candidate # 1540196670.223 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ 1 1)) 1540196670.223 * * [misc]simplify: iters left: 6 (13 enodes) 1540196670.227 * * [misc]simplify: iters left: 5 (20 enodes) 1540196670.232 * * [misc]simplify: iters left: 4 (27 enodes) 1540196670.239 * * [misc]simplify: iters left: 3 (35 enodes) 1540196670.249 * * [misc]simplify: iters left: 2 (45 enodes) 1540196670.260 * * [misc]simplify: iters left: 1 (56 enodes) 1540196670.279 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540196670.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196670.279 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196670.279 * * [misc]simplify: iters left: 6 (19 enodes) 1540196670.287 * * [misc]simplify: iters left: 5 (28 enodes) 1540196670.295 * * [misc]simplify: iters left: 4 (47 enodes) 1540196670.309 * * [misc]simplify: iters left: 3 (95 enodes) 1540196670.327 * * [misc]simplify: iters left: 2 (182 enodes) 1540196670.398 * * [misc]simplify: iters left: 1 (317 enodes) 1540196670.555 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196670.555 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196670.555 * * * * [misc]progress: [ 826 / 6870 ] simplifiying candidate # 1540196670.555 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1) 1540196670.555 * * [misc]simplify: iters left: 6 (12 enodes) 1540196670.557 * * [misc]simplify: iters left: 5 (19 enodes) 1540196670.561 * * [misc]simplify: iters left: 4 (28 enodes) 1540196670.569 * * [misc]simplify: iters left: 3 (36 enodes) 1540196670.579 * * [misc]simplify: iters left: 2 (46 enodes) 1540196670.590 * * [misc]simplify: iters left: 1 (57 enodes) 1540196670.609 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540196670.609 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196670.610 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196670.610 * * [misc]simplify: iters left: 6 (19 enodes) 1540196670.615 * * [misc]simplify: iters left: 5 (28 enodes) 1540196670.623 * * [misc]simplify: iters left: 4 (47 enodes) 1540196670.638 * * [misc]simplify: iters left: 3 (95 enodes) 1540196670.673 * * [misc]simplify: iters left: 2 (182 enodes) 1540196670.756 * * [misc]simplify: iters left: 1 (317 enodes) 1540196670.965 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196670.965 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196670.965 * * * * [misc]progress: [ 827 / 6870 ] simplifiying candidate # 1540196670.965 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (sqrt (sqrt k))) 1540196670.966 * * [misc]simplify: iters left: 6 (13 enodes) 1540196670.970 * * [misc]simplify: iters left: 5 (20 enodes) 1540196670.974 * * [misc]simplify: iters left: 4 (30 enodes) 1540196670.977 * * [misc]simplify: iters left: 3 (50 enodes) 1540196670.985 * * [misc]simplify: iters left: 2 (83 enodes) 1540196671.000 * * [misc]simplify: iters left: 1 (110 enodes) 1540196671.026 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540196671.026 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196671.027 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196671.027 * * [misc]simplify: iters left: 6 (19 enodes) 1540196671.029 * * [misc]simplify: iters left: 5 (30 enodes) 1540196671.034 * * [misc]simplify: iters left: 4 (47 enodes) 1540196671.043 * * [misc]simplify: iters left: 3 (99 enodes) 1540196671.067 * * [misc]simplify: iters left: 2 (207 enodes) 1540196671.157 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196671.157 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196671.157 * * * * [misc]progress: [ 828 / 6870 ] simplifiying candidate # 1540196671.157 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196671.157 * * [misc]simplify: iters left: 6 (16 enodes) 1540196671.163 * * [misc]simplify: iters left: 5 (26 enodes) 1540196671.172 * * [misc]simplify: iters left: 4 (43 enodes) 1540196671.185 * * [misc]simplify: iters left: 3 (80 enodes) 1540196671.215 * * [misc]simplify: iters left: 2 (145 enodes) 1540196671.259 * * [misc]simplify: iters left: 1 (225 enodes) 1540196671.350 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540196671.350 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))))) 1540196671.350 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540196671.351 * * [misc]simplify: iters left: 6 (17 enodes) 1540196671.355 * * [misc]simplify: iters left: 5 (24 enodes) 1540196671.362 * * [misc]simplify: iters left: 4 (35 enodes) 1540196671.372 * * [misc]simplify: iters left: 3 (50 enodes) 1540196671.385 * * [misc]simplify: iters left: 2 (67 enodes) 1540196671.398 * * [misc]simplify: iters left: 1 (84 enodes) 1540196671.409 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540196671.409 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1540196671.410 * * * * [misc]progress: [ 829 / 6870 ] simplifiying candidate # 1540196671.410 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196671.410 * * [misc]simplify: iters left: 6 (19 enodes) 1540196671.413 * * [misc]simplify: iters left: 5 (29 enodes) 1540196671.417 * * [misc]simplify: iters left: 4 (50 enodes) 1540196671.424 * * [misc]simplify: iters left: 3 (85 enodes) 1540196671.453 * * [misc]simplify: iters left: 2 (132 enodes) 1540196671.501 * * [misc]simplify: iters left: 1 (198 enodes) 1540196671.580 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196671.581 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196671.581 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196671.581 * * [misc]simplify: iters left: 6 (19 enodes) 1540196671.587 * * [misc]simplify: iters left: 5 (26 enodes) 1540196671.594 * * [misc]simplify: iters left: 4 (37 enodes) 1540196671.605 * * [misc]simplify: iters left: 3 (52 enodes) 1540196671.613 * * [misc]simplify: iters left: 2 (69 enodes) 1540196671.623 * * [misc]simplify: iters left: 1 (86 enodes) 1540196671.634 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196671.634 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196671.634 * * * * [misc]progress: [ 830 / 6870 ] simplifiying candidate # 1540196671.635 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196671.635 * * [misc]simplify: iters left: 6 (18 enodes) 1540196671.637 * * [misc]simplify: iters left: 5 (26 enodes) 1540196671.641 * * [misc]simplify: iters left: 4 (39 enodes) 1540196671.646 * * [misc]simplify: iters left: 3 (54 enodes) 1540196671.654 * * [misc]simplify: iters left: 2 (71 enodes) 1540196671.665 * * [misc]simplify: iters left: 1 (88 enodes) 1540196671.690 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196671.690 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196671.690 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196671.691 * * [misc]simplify: iters left: 6 (19 enodes) 1540196671.696 * * [misc]simplify: iters left: 5 (26 enodes) 1540196671.703 * * [misc]simplify: iters left: 4 (37 enodes) 1540196671.714 * * [misc]simplify: iters left: 3 (52 enodes) 1540196671.728 * * [misc]simplify: iters left: 2 (69 enodes) 1540196671.741 * * [misc]simplify: iters left: 1 (86 enodes) 1540196671.753 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196671.754 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196671.754 * * * * [misc]progress: [ 831 / 6870 ] simplifiying candidate # 1540196671.754 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196671.754 * * [misc]simplify: iters left: 6 (17 enodes) 1540196671.757 * * [misc]simplify: iters left: 5 (28 enodes) 1540196671.763 * * [misc]simplify: iters left: 4 (56 enodes) 1540196671.775 * * [misc]simplify: iters left: 3 (158 enodes) 1540196671.845 * * [misc]simplify: iters left: 2 (409 enodes) 1540196672.106 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196672.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196672.106 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196672.106 * * [misc]simplify: iters left: 6 (17 enodes) 1540196672.111 * * [misc]simplify: iters left: 5 (25 enodes) 1540196672.118 * * [misc]simplify: iters left: 4 (43 enodes) 1540196672.132 * * [misc]simplify: iters left: 3 (91 enodes) 1540196672.151 * * [misc]simplify: iters left: 2 (178 enodes) 1540196672.218 * * [misc]simplify: iters left: 1 (319 enodes) 1540196672.373 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196672.373 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))))) 1540196672.374 * * * * [misc]progress: [ 832 / 6870 ] simplifiying candidate # 1540196672.374 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196672.374 * * [misc]simplify: iters left: 6 (17 enodes) 1540196672.380 * * [misc]simplify: iters left: 5 (28 enodes) 1540196672.390 * * [misc]simplify: iters left: 4 (56 enodes) 1540196672.412 * * [misc]simplify: iters left: 3 (158 enodes) 1540196672.470 * * [misc]simplify: iters left: 2 (409 enodes) 1540196672.679 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196672.679 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196672.679 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196672.679 * * [misc]simplify: iters left: 6 (17 enodes) 1540196672.681 * * [misc]simplify: iters left: 5 (25 enodes) 1540196672.685 * * [misc]simplify: iters left: 4 (43 enodes) 1540196672.696 * * [misc]simplify: iters left: 3 (91 enodes) 1540196672.729 * * [misc]simplify: iters left: 2 (178 enodes) 1540196672.812 * * [misc]simplify: iters left: 1 (319 enodes) 1540196673.031 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196673.031 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))))) 1540196673.032 * * * * [misc]progress: [ 833 / 6870 ] simplifiying candidate # 1540196673.032 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196673.032 * * [misc]simplify: iters left: 6 (21 enodes) 1540196673.039 * * [misc]simplify: iters left: 5 (37 enodes) 1540196673.051 * * [misc]simplify: iters left: 4 (88 enodes) 1540196673.088 * * [misc]simplify: iters left: 3 (262 enodes) 1540196673.248 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196673.248 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196673.248 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196673.248 * * [misc]simplify: iters left: 6 (20 enodes) 1540196673.251 * * [misc]simplify: iters left: 5 (29 enodes) 1540196673.255 * * [misc]simplify: iters left: 4 (48 enodes) 1540196673.263 * * [misc]simplify: iters left: 3 (96 enodes) 1540196673.283 * * [misc]simplify: iters left: 2 (183 enodes) 1540196673.346 * * [misc]simplify: iters left: 1 (325 enodes) 1540196673.542 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196673.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196673.542 * * * * [misc]progress: [ 834 / 6870 ] simplifiying candidate # 1540196673.542 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196673.543 * * [misc]simplify: iters left: 6 (20 enodes) 1540196673.546 * * [misc]simplify: iters left: 5 (32 enodes) 1540196673.550 * * [misc]simplify: iters left: 4 (63 enodes) 1540196673.564 * * [misc]simplify: iters left: 3 (165 enodes) 1540196673.632 * * [misc]simplify: iters left: 2 (420 enodes) 1540196673.962 * [exit]simplify: Simplified to (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196673.962 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196673.962 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196673.962 * * [misc]simplify: iters left: 6 (20 enodes) 1540196673.965 * * [misc]simplify: iters left: 5 (29 enodes) 1540196673.969 * * [misc]simplify: iters left: 4 (48 enodes) 1540196673.977 * * [misc]simplify: iters left: 3 (96 enodes) 1540196673.997 * * [misc]simplify: iters left: 2 (183 enodes) 1540196674.048 * * [misc]simplify: iters left: 1 (325 enodes) 1540196674.229 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196674.229 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196674.230 * * * * [misc]progress: [ 835 / 6870 ] simplifiying candidate # 1540196674.230 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196674.230 * * [misc]simplify: iters left: 6 (16 enodes) 1540196674.232 * * [misc]simplify: iters left: 5 (28 enodes) 1540196674.237 * * [misc]simplify: iters left: 4 (56 enodes) 1540196674.247 * * [misc]simplify: iters left: 3 (111 enodes) 1540196674.295 * * [misc]simplify: iters left: 2 (306 enodes) 1540196674.523 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196674.523 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196674.523 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196674.523 * * [misc]simplify: iters left: 6 (19 enodes) 1540196674.528 * * [misc]simplify: iters left: 5 (28 enodes) 1540196674.537 * * [misc]simplify: iters left: 4 (47 enodes) 1540196674.552 * * [misc]simplify: iters left: 3 (95 enodes) 1540196674.588 * * [misc]simplify: iters left: 2 (182 enodes) 1540196674.650 * * [misc]simplify: iters left: 1 (322 enodes) 1540196674.836 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))) 1540196674.836 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1540196674.836 * * * * [misc]progress: [ 836 / 6870 ] simplifiying candidate # 1540196674.836 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196674.836 * * [misc]simplify: iters left: 6 (18 enodes) 1540196674.840 * * [misc]simplify: iters left: 5 (28 enodes) 1540196674.844 * * [misc]simplify: iters left: 4 (46 enodes) 1540196674.852 * * [misc]simplify: iters left: 3 (94 enodes) 1540196674.872 * * [misc]simplify: iters left: 2 (181 enodes) 1540196674.942 * * [misc]simplify: iters left: 1 (322 enodes) 1540196675.133 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196675.133 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196675.134 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196675.134 * * [misc]simplify: iters left: 6 (18 enodes) 1540196675.139 * * [misc]simplify: iters left: 5 (26 enodes) 1540196675.147 * * [misc]simplify: iters left: 4 (44 enodes) 1540196675.161 * * [misc]simplify: iters left: 3 (92 enodes) 1540196675.196 * * [misc]simplify: iters left: 2 (179 enodes) 1540196675.263 * * [misc]simplify: iters left: 1 (315 enodes) 1540196675.398 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196675.398 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196675.398 * * * * [misc]progress: [ 837 / 6870 ] simplifiying candidate # 1540196675.399 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196675.399 * * [misc]simplify: iters left: 6 (18 enodes) 1540196675.405 * * [misc]simplify: iters left: 5 (28 enodes) 1540196675.414 * * [misc]simplify: iters left: 4 (46 enodes) 1540196675.422 * * [misc]simplify: iters left: 3 (94 enodes) 1540196675.440 * * [misc]simplify: iters left: 2 (181 enodes) 1540196675.496 * * [misc]simplify: iters left: 1 (322 enodes) 1540196675.632 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196675.632 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196675.632 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196675.633 * * [misc]simplify: iters left: 6 (18 enodes) 1540196675.635 * * [misc]simplify: iters left: 5 (26 enodes) 1540196675.638 * * [misc]simplify: iters left: 4 (44 enodes) 1540196675.648 * * [misc]simplify: iters left: 3 (92 enodes) 1540196675.669 * * [misc]simplify: iters left: 2 (179 enodes) 1540196675.710 * * [misc]simplify: iters left: 1 (315 enodes) 1540196675.888 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196675.888 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196675.888 * * * * [misc]progress: [ 838 / 6870 ] simplifiying candidate # 1540196675.889 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196675.889 * * [misc]simplify: iters left: 6 (22 enodes) 1540196675.896 * * [misc]simplify: iters left: 5 (35 enodes) 1540196675.906 * * [misc]simplify: iters left: 4 (62 enodes) 1540196675.926 * * [misc]simplify: iters left: 3 (141 enodes) 1540196675.992 * * [misc]simplify: iters left: 2 (337 enodes) 1540196676.226 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196676.226 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196676.227 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196676.227 * * [misc]simplify: iters left: 6 (21 enodes) 1540196676.230 * * [misc]simplify: iters left: 5 (30 enodes) 1540196676.234 * * [misc]simplify: iters left: 4 (49 enodes) 1540196676.244 * * [misc]simplify: iters left: 3 (97 enodes) 1540196676.275 * * [misc]simplify: iters left: 2 (184 enodes) 1540196676.328 * * [misc]simplify: iters left: 1 (320 enodes) 1540196676.474 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196676.474 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196676.474 * * * * [misc]progress: [ 839 / 6870 ] simplifiying candidate # 1540196676.475 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196676.475 * * [misc]simplify: iters left: 6 (21 enodes) 1540196676.478 * * [misc]simplify: iters left: 5 (32 enodes) 1540196676.485 * * [misc]simplify: iters left: 4 (53 enodes) 1540196676.501 * * [misc]simplify: iters left: 3 (101 enodes) 1540196676.535 * * [misc]simplify: iters left: 2 (188 enodes) 1540196676.594 * * [misc]simplify: iters left: 1 (325 enodes) 1540196676.810 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) 1540196676.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196676.811 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196676.811 * * [misc]simplify: iters left: 6 (21 enodes) 1540196676.817 * * [misc]simplify: iters left: 5 (30 enodes) 1540196676.826 * * [misc]simplify: iters left: 4 (49 enodes) 1540196676.841 * * [misc]simplify: iters left: 3 (97 enodes) 1540196676.874 * * [misc]simplify: iters left: 2 (184 enodes) 1540196676.929 * * [misc]simplify: iters left: 1 (320 enodes) 1540196677.049 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196677.049 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196677.049 * * * * [misc]progress: [ 840 / 6870 ] simplifiying candidate # 1540196677.049 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196677.049 * * [misc]simplify: iters left: 6 (17 enodes) 1540196677.052 * * [misc]simplify: iters left: 5 (27 enodes) 1540196677.056 * * [misc]simplify: iters left: 4 (42 enodes) 1540196677.062 * * [misc]simplify: iters left: 3 (76 enodes) 1540196677.078 * * [misc]simplify: iters left: 2 (155 enodes) 1540196677.123 * * [misc]simplify: iters left: 1 (338 enodes) 1540196677.317 * [exit]simplify: Simplified to (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196677.317 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196677.318 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196677.318 * * [misc]simplify: iters left: 6 (20 enodes) 1540196677.323 * * [misc]simplify: iters left: 5 (29 enodes) 1540196677.330 * * [misc]simplify: iters left: 4 (48 enodes) 1540196677.346 * * [misc]simplify: iters left: 3 (96 enodes) 1540196677.370 * * [misc]simplify: iters left: 2 (183 enodes) 1540196677.443 * * [misc]simplify: iters left: 1 (325 enodes) 1540196677.613 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196677.613 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196677.614 * * * * [misc]progress: [ 841 / 6870 ] simplifiying candidate # 1540196677.614 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196677.614 * * [misc]simplify: iters left: 6 (15 enodes) 1540196677.619 * * [misc]simplify: iters left: 5 (24 enodes) 1540196677.627 * * [misc]simplify: iters left: 4 (41 enodes) 1540196678.085 * * [misc]simplify: iters left: 3 (86 enodes) 1540196678.101 * * [misc]simplify: iters left: 2 (151 enodes) 1540196678.162 * * [misc]simplify: iters left: 1 (230 enodes) 1540196678.248 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196678.249 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196678.249 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196678.249 * * [misc]simplify: iters left: 6 (16 enodes) 1540196678.251 * * [misc]simplify: iters left: 5 (24 enodes) 1540196678.255 * * [misc]simplify: iters left: 4 (41 enodes) 1540196678.264 * * [misc]simplify: iters left: 3 (86 enodes) 1540196678.291 * * [misc]simplify: iters left: 2 (151 enodes) 1540196678.327 * * [misc]simplify: iters left: 1 (234 enodes) 1540196678.390 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196678.390 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196678.391 * * * * [misc]progress: [ 842 / 6870 ] simplifiying candidate # 1540196678.391 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196678.391 * * [misc]simplify: iters left: 6 (15 enodes) 1540196678.397 * * [misc]simplify: iters left: 5 (24 enodes) 1540196678.404 * * [misc]simplify: iters left: 4 (41 enodes) 1540196678.418 * * [misc]simplify: iters left: 3 (86 enodes) 1540196678.447 * * [misc]simplify: iters left: 2 (151 enodes) 1540196678.486 * * [misc]simplify: iters left: 1 (230 enodes) 1540196678.558 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196678.559 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196678.559 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196678.559 * * [misc]simplify: iters left: 6 (16 enodes) 1540196678.561 * * [misc]simplify: iters left: 5 (24 enodes) 1540196678.564 * * [misc]simplify: iters left: 4 (41 enodes) 1540196678.571 * * [misc]simplify: iters left: 3 (86 enodes) 1540196678.590 * * [misc]simplify: iters left: 2 (151 enodes) 1540196678.636 * * [misc]simplify: iters left: 1 (234 enodes) 1540196678.700 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196678.700 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196678.700 * * * * [misc]progress: [ 843 / 6870 ] simplifiying candidate # 1540196678.700 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196678.700 * * [misc]simplify: iters left: 6 (19 enodes) 1540196678.707 * * [misc]simplify: iters left: 5 (31 enodes) 1540196678.716 * * [misc]simplify: iters left: 4 (57 enodes) 1540196678.736 * * [misc]simplify: iters left: 3 (133 enodes) 1540196678.767 * * [misc]simplify: iters left: 2 (298 enodes) 1540196678.907 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196678.907 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196678.907 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196678.908 * * [misc]simplify: iters left: 6 (19 enodes) 1540196678.915 * * [misc]simplify: iters left: 5 (28 enodes) 1540196678.923 * * [misc]simplify: iters left: 4 (46 enodes) 1540196678.937 * * [misc]simplify: iters left: 3 (91 enodes) 1540196678.967 * * [misc]simplify: iters left: 2 (156 enodes) 1540196679.034 * * [misc]simplify: iters left: 1 (236 enodes) 1540196679.111 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196679.111 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196679.111 * * * * [misc]progress: [ 844 / 6870 ] simplifiying candidate # 1540196679.111 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196679.111 * * [misc]simplify: iters left: 6 (18 enodes) 1540196679.114 * * [misc]simplify: iters left: 5 (28 enodes) 1540196679.121 * * [misc]simplify: iters left: 4 (48 enodes) 1540196679.137 * * [misc]simplify: iters left: 3 (93 enodes) 1540196679.160 * * [misc]simplify: iters left: 2 (158 enodes) 1540196679.196 * * [misc]simplify: iters left: 1 (243 enodes) 1540196679.276 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196679.276 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196679.276 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196679.276 * * [misc]simplify: iters left: 6 (19 enodes) 1540196679.279 * * [misc]simplify: iters left: 5 (28 enodes) 1540196679.282 * * [misc]simplify: iters left: 4 (46 enodes) 1540196679.289 * * [misc]simplify: iters left: 3 (91 enodes) 1540196679.313 * * [misc]simplify: iters left: 2 (156 enodes) 1540196679.372 * * [misc]simplify: iters left: 1 (236 enodes) 1540196679.446 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196679.446 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196679.446 * * * * [misc]progress: [ 845 / 6870 ] simplifiying candidate # 1540196679.446 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196679.447 * * [misc]simplify: iters left: 6 (14 enodes) 1540196679.449 * * [misc]simplify: iters left: 5 (24 enodes) 1540196679.453 * * [misc]simplify: iters left: 4 (45 enodes) 1540196679.460 * * [misc]simplify: iters left: 3 (68 enodes) 1540196679.479 * * [misc]simplify: iters left: 2 (101 enodes) 1540196679.519 * * [misc]simplify: iters left: 1 (157 enodes) 1540196679.561 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540196679.561 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196679.561 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196679.561 * * [misc]simplify: iters left: 6 (18 enodes) 1540196679.564 * * [misc]simplify: iters left: 5 (27 enodes) 1540196679.568 * * [misc]simplify: iters left: 4 (45 enodes) 1540196679.576 * * [misc]simplify: iters left: 3 (90 enodes) 1540196679.593 * * [misc]simplify: iters left: 2 (155 enodes) 1540196679.655 * * [misc]simplify: iters left: 1 (239 enodes) 1540196679.728 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196679.728 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196679.729 * * * * [misc]progress: [ 846 / 6870 ] simplifiying candidate # 1540196679.729 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196679.729 * * [misc]simplify: iters left: 6 (17 enodes) 1540196679.732 * * [misc]simplify: iters left: 5 (28 enodes) 1540196679.737 * * [misc]simplify: iters left: 4 (48 enodes) 1540196679.746 * * [misc]simplify: iters left: 3 (115 enodes) 1540196679.773 * * [misc]simplify: iters left: 2 (271 enodes) 1540196679.906 * * [misc]simplify: iters left: 1 (496 enodes) 1540196680.344 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540196680.345 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196680.345 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196680.345 * * [misc]simplify: iters left: 6 (16 enodes) 1540196680.350 * * [misc]simplify: iters left: 5 (24 enodes) 1540196680.357 * * [misc]simplify: iters left: 4 (42 enodes) 1540196680.369 * * [misc]simplify: iters left: 3 (90 enodes) 1540196680.386 * * [misc]simplify: iters left: 2 (177 enodes) 1540196680.429 * * [misc]simplify: iters left: 1 (315 enodes) 1540196680.585 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196680.586 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196680.586 * * * * [misc]progress: [ 847 / 6870 ] simplifiying candidate # 1540196680.586 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196680.586 * * [misc]simplify: iters left: 6 (17 enodes) 1540196680.593 * * [misc]simplify: iters left: 5 (28 enodes) 1540196680.598 * * [misc]simplify: iters left: 4 (48 enodes) 1540196680.607 * * [misc]simplify: iters left: 3 (115 enodes) 1540196680.632 * * [misc]simplify: iters left: 2 (271 enodes) 1540196680.793 * * [misc]simplify: iters left: 1 (496 enodes) 1540196681.260 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540196681.260 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196681.261 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196681.261 * * [misc]simplify: iters left: 6 (16 enodes) 1540196681.265 * * [misc]simplify: iters left: 5 (24 enodes) 1540196681.272 * * [misc]simplify: iters left: 4 (42 enodes) 1540196681.286 * * [misc]simplify: iters left: 3 (90 enodes) 1540196681.317 * * [misc]simplify: iters left: 2 (177 enodes) 1540196681.397 * * [misc]simplify: iters left: 1 (315 enodes) 1540196681.561 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196681.561 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196681.561 * * * * [misc]progress: [ 848 / 6870 ] simplifiying candidate # 1540196681.562 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196681.562 * * [misc]simplify: iters left: 6 (21 enodes) 1540196681.569 * * [misc]simplify: iters left: 5 (35 enodes) 1540196681.578 * * [misc]simplify: iters left: 4 (65 enodes) 1540196681.590 * * [misc]simplify: iters left: 3 (171 enodes) 1540196681.665 * * [misc]simplify: iters left: 2 (455 enodes) 1540196682.074 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n)))) 1540196682.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196682.075 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196682.077 * * [misc]simplify: iters left: 6 (19 enodes) 1540196682.080 * * [misc]simplify: iters left: 5 (28 enodes) 1540196682.084 * * [misc]simplify: iters left: 4 (47 enodes) 1540196682.091 * * [misc]simplify: iters left: 3 (95 enodes) 1540196682.108 * * [misc]simplify: iters left: 2 (182 enodes) 1540196682.180 * * [misc]simplify: iters left: 1 (320 enodes) 1540196682.363 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196682.363 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196682.364 * * * * [misc]progress: [ 849 / 6870 ] simplifiying candidate # 1540196682.364 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196682.364 * * [misc]simplify: iters left: 6 (20 enodes) 1540196682.369 * * [misc]simplify: iters left: 5 (32 enodes) 1540196682.373 * * [misc]simplify: iters left: 4 (55 enodes) 1540196682.389 * * [misc]simplify: iters left: 3 (122 enodes) 1540196682.443 * * [misc]simplify: iters left: 2 (285 enodes) 1540196682.595 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196682.595 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196682.595 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196682.596 * * [misc]simplify: iters left: 6 (19 enodes) 1540196682.601 * * [misc]simplify: iters left: 5 (28 enodes) 1540196682.609 * * [misc]simplify: iters left: 4 (47 enodes) 1540196682.616 * * [misc]simplify: iters left: 3 (95 enodes) 1540196682.635 * * [misc]simplify: iters left: 2 (182 enodes) 1540196682.706 * * [misc]simplify: iters left: 1 (320 enodes) 1540196682.877 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196682.877 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196682.878 * * * * [misc]progress: [ 850 / 6870 ] simplifiying candidate # 1540196682.878 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196682.878 * * [misc]simplify: iters left: 6 (15 enodes) 1540196682.881 * * [misc]simplify: iters left: 5 (25 enodes) 1540196682.885 * * [misc]simplify: iters left: 4 (33 enodes) 1540196682.895 * * [misc]simplify: iters left: 3 (55 enodes) 1540196682.911 * * [misc]simplify: iters left: 2 (89 enodes) 1540196682.934 * * [misc]simplify: iters left: 1 (147 enodes) 1540196682.998 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196682.998 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196682.999 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196682.999 * * [misc]simplify: iters left: 6 (18 enodes) 1540196683.004 * * [misc]simplify: iters left: 5 (27 enodes) 1540196683.012 * * [misc]simplify: iters left: 4 (46 enodes) 1540196683.027 * * [misc]simplify: iters left: 3 (94 enodes) 1540196683.064 * * [misc]simplify: iters left: 2 (181 enodes) 1540196683.124 * * [misc]simplify: iters left: 1 (322 enodes) 1540196683.319 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196683.319 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196683.319 * * * * [misc]progress: [ 851 / 6870 ] simplifiying candidate # 1540196683.320 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196683.320 * * [misc]simplify: iters left: 6 (15 enodes) 1540196683.325 * * [misc]simplify: iters left: 5 (24 enodes) 1540196683.332 * * [misc]simplify: iters left: 4 (41 enodes) 1540196683.344 * * [misc]simplify: iters left: 3 (86 enodes) 1540196683.373 * * [misc]simplify: iters left: 2 (151 enodes) 1540196683.412 * * [misc]simplify: iters left: 1 (230 enodes) 1540196683.487 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196683.487 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196683.487 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196683.487 * * [misc]simplify: iters left: 6 (16 enodes) 1540196683.491 * * [misc]simplify: iters left: 5 (24 enodes) 1540196683.497 * * [misc]simplify: iters left: 4 (41 enodes) 1540196683.509 * * [misc]simplify: iters left: 3 (86 enodes) 1540196683.536 * * [misc]simplify: iters left: 2 (151 enodes) 1540196683.583 * * [misc]simplify: iters left: 1 (234 enodes) 1540196683.669 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196683.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196683.670 * * * * [misc]progress: [ 852 / 6870 ] simplifiying candidate # 1540196683.670 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196683.670 * * [misc]simplify: iters left: 6 (15 enodes) 1540196683.676 * * [misc]simplify: iters left: 5 (24 enodes) 1540196683.685 * * [misc]simplify: iters left: 4 (41 enodes) 1540196683.695 * * [misc]simplify: iters left: 3 (86 enodes) 1540196683.712 * * [misc]simplify: iters left: 2 (151 enodes) 1540196683.762 * * [misc]simplify: iters left: 1 (230 enodes) 1540196683.854 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196683.854 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196683.855 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196683.855 * * [misc]simplify: iters left: 6 (16 enodes) 1540196683.859 * * [misc]simplify: iters left: 5 (24 enodes) 1540196683.866 * * [misc]simplify: iters left: 4 (41 enodes) 1540196683.875 * * [misc]simplify: iters left: 3 (86 enodes) 1540196683.892 * * [misc]simplify: iters left: 2 (151 enodes) 1540196683.929 * * [misc]simplify: iters left: 1 (234 enodes) 1540196684.016 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196684.016 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196684.016 * * * * [misc]progress: [ 853 / 6870 ] simplifiying candidate # 1540196684.016 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196684.016 * * [misc]simplify: iters left: 6 (19 enodes) 1540196684.020 * * [misc]simplify: iters left: 5 (31 enodes) 1540196684.025 * * [misc]simplify: iters left: 4 (57 enodes) 1540196684.034 * * [misc]simplify: iters left: 3 (133 enodes) 1540196684.080 * * [misc]simplify: iters left: 2 (298 enodes) 1540196684.278 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196684.278 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196684.278 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196684.278 * * [misc]simplify: iters left: 6 (19 enodes) 1540196684.281 * * [misc]simplify: iters left: 5 (28 enodes) 1540196684.284 * * [misc]simplify: iters left: 4 (46 enodes) 1540196684.296 * * [misc]simplify: iters left: 3 (91 enodes) 1540196684.329 * * [misc]simplify: iters left: 2 (156 enodes) 1540196684.361 * * [misc]simplify: iters left: 1 (236 enodes) 1540196684.435 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196684.435 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196684.435 * * * * [misc]progress: [ 854 / 6870 ] simplifiying candidate # 1540196684.436 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196684.436 * * [misc]simplify: iters left: 6 (18 enodes) 1540196684.438 * * [misc]simplify: iters left: 5 (28 enodes) 1540196684.442 * * [misc]simplify: iters left: 4 (48 enodes) 1540196684.449 * * [misc]simplify: iters left: 3 (93 enodes) 1540196684.474 * * [misc]simplify: iters left: 2 (158 enodes) 1540196684.528 * * [misc]simplify: iters left: 1 (243 enodes) 1540196684.615 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196684.615 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196684.616 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196684.616 * * [misc]simplify: iters left: 6 (19 enodes) 1540196684.621 * * [misc]simplify: iters left: 5 (28 enodes) 1540196684.630 * * [misc]simplify: iters left: 4 (46 enodes) 1540196684.644 * * [misc]simplify: iters left: 3 (91 enodes) 1540196684.677 * * [misc]simplify: iters left: 2 (156 enodes) 1540196684.722 * * [misc]simplify: iters left: 1 (236 enodes) 1540196684.807 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196684.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196684.807 * * * * [misc]progress: [ 855 / 6870 ] simplifiying candidate # 1540196684.808 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196684.808 * * [misc]simplify: iters left: 6 (14 enodes) 1540196684.812 * * [misc]simplify: iters left: 5 (24 enodes) 1540196684.820 * * [misc]simplify: iters left: 4 (45 enodes) 1540196684.834 * * [misc]simplify: iters left: 3 (68 enodes) 1540196684.855 * * [misc]simplify: iters left: 2 (101 enodes) 1540196684.876 * * [misc]simplify: iters left: 1 (157 enodes) 1540196684.914 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540196684.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196684.915 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196684.915 * * [misc]simplify: iters left: 6 (18 enodes) 1540196684.917 * * [misc]simplify: iters left: 5 (27 enodes) 1540196684.921 * * [misc]simplify: iters left: 4 (45 enodes) 1540196684.928 * * [misc]simplify: iters left: 3 (90 enodes) 1540196684.950 * * [misc]simplify: iters left: 2 (155 enodes) 1540196684.991 * * [misc]simplify: iters left: 1 (239 enodes) 1540196685.049 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196685.049 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196685.049 * * * * [misc]progress: [ 856 / 6870 ] simplifiying candidate # 1540196685.049 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196685.049 * * [misc]simplify: iters left: 6 (16 enodes) 1540196685.052 * * [misc]simplify: iters left: 5 (27 enodes) 1540196685.056 * * [misc]simplify: iters left: 4 (43 enodes) 1540196685.064 * * [misc]simplify: iters left: 3 (95 enodes) 1540196685.081 * * [misc]simplify: iters left: 2 (200 enodes) 1540196685.157 * * [misc]simplify: iters left: 1 (409 enodes) 1540196685.520 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196685.520 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196685.521 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196685.521 * * [misc]simplify: iters left: 6 (16 enodes) 1540196685.526 * * [misc]simplify: iters left: 5 (24 enodes) 1540196685.530 * * [misc]simplify: iters left: 4 (42 enodes) 1540196685.537 * * [misc]simplify: iters left: 3 (90 enodes) 1540196685.554 * * [misc]simplify: iters left: 2 (177 enodes) 1540196685.596 * * [misc]simplify: iters left: 1 (315 enodes) 1540196685.733 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196685.733 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196685.733 * * * * [misc]progress: [ 857 / 6870 ] simplifiying candidate # 1540196685.733 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196685.733 * * [misc]simplify: iters left: 6 (16 enodes) 1540196685.736 * * [misc]simplify: iters left: 5 (27 enodes) 1540196685.740 * * [misc]simplify: iters left: 4 (43 enodes) 1540196685.747 * * [misc]simplify: iters left: 3 (95 enodes) 1540196685.775 * * [misc]simplify: iters left: 2 (200 enodes) 1540196685.863 * * [misc]simplify: iters left: 1 (409 enodes) 1540196686.144 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196686.144 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196686.145 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196686.145 * * [misc]simplify: iters left: 6 (16 enodes) 1540196686.147 * * [misc]simplify: iters left: 5 (24 enodes) 1540196686.151 * * [misc]simplify: iters left: 4 (42 enodes) 1540196686.157 * * [misc]simplify: iters left: 3 (90 enodes) 1540196686.174 * * [misc]simplify: iters left: 2 (177 enodes) 1540196686.255 * * [misc]simplify: iters left: 1 (315 enodes) 1540196686.448 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196686.448 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196686.448 * * * * [misc]progress: [ 858 / 6870 ] simplifiying candidate # 1540196686.448 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196686.448 * * [misc]simplify: iters left: 6 (20 enodes) 1540196686.451 * * [misc]simplify: iters left: 5 (34 enodes) 1540196686.456 * * [misc]simplify: iters left: 4 (59 enodes) 1540196686.466 * * [misc]simplify: iters left: 3 (153 enodes) 1540196686.519 * * [misc]simplify: iters left: 2 (394 enodes) 1540196686.757 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k))))) 1540196686.757 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196686.758 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196686.758 * * [misc]simplify: iters left: 6 (19 enodes) 1540196686.760 * * [misc]simplify: iters left: 5 (28 enodes) 1540196686.764 * * [misc]simplify: iters left: 4 (47 enodes) 1540196686.772 * * [misc]simplify: iters left: 3 (95 enodes) 1540196686.807 * * [misc]simplify: iters left: 2 (182 enodes) 1540196686.866 * * [misc]simplify: iters left: 1 (320 enodes) 1540196687.086 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196687.087 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196687.087 * * * * [misc]progress: [ 859 / 6870 ] simplifiying candidate # 1540196687.087 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196687.087 * * [misc]simplify: iters left: 6 (19 enodes) 1540196687.093 * * [misc]simplify: iters left: 5 (31 enodes) 1540196687.101 * * [misc]simplify: iters left: 4 (50 enodes) 1540196687.115 * * [misc]simplify: iters left: 3 (102 enodes) 1540196687.133 * * [misc]simplify: iters left: 2 (206 enodes) 1540196687.222 * * [misc]simplify: iters left: 1 (437 enodes) 1540196687.568 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196687.568 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196687.568 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196687.568 * * [misc]simplify: iters left: 6 (19 enodes) 1540196687.571 * * [misc]simplify: iters left: 5 (28 enodes) 1540196687.577 * * [misc]simplify: iters left: 4 (47 enodes) 1540196687.584 * * [misc]simplify: iters left: 3 (95 enodes) 1540196687.601 * * [misc]simplify: iters left: 2 (182 enodes) 1540196687.664 * * [misc]simplify: iters left: 1 (320 enodes) 1540196687.822 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196687.822 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196687.822 * * * * [misc]progress: [ 860 / 6870 ] simplifiying candidate # 1540196687.822 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 1)) 1540196687.822 * * [misc]simplify: iters left: 6 (14 enodes) 1540196687.824 * * [misc]simplify: iters left: 5 (22 enodes) 1540196687.827 * * [misc]simplify: iters left: 4 (30 enodes) 1540196687.833 * * [misc]simplify: iters left: 3 (45 enodes) 1540196687.839 * * [misc]simplify: iters left: 2 (68 enodes) 1540196687.849 * * [misc]simplify: iters left: 1 (86 enodes) 1540196687.861 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196687.861 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196687.861 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196687.861 * * [misc]simplify: iters left: 6 (18 enodes) 1540196687.864 * * [misc]simplify: iters left: 5 (27 enodes) 1540196687.868 * * [misc]simplify: iters left: 4 (46 enodes) 1540196687.877 * * [misc]simplify: iters left: 3 (94 enodes) 1540196687.895 * * [misc]simplify: iters left: 2 (181 enodes) 1540196687.949 * * [misc]simplify: iters left: 1 (322 enodes) 1540196688.117 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196688.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196688.117 * * * * [misc]progress: [ 861 / 6870 ] simplifiying candidate # 1540196688.117 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1) 1540196688.117 * * [misc]simplify: iters left: 6 (13 enodes) 1540196688.121 * * [misc]simplify: iters left: 5 (21 enodes) 1540196688.127 * * [misc]simplify: iters left: 4 (31 enodes) 1540196688.137 * * [misc]simplify: iters left: 3 (50 enodes) 1540196688.152 * * [misc]simplify: iters left: 2 (81 enodes) 1540196688.172 * * [misc]simplify: iters left: 1 (100 enodes) 1540196688.184 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196688.184 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196688.184 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196688.184 * * [misc]simplify: iters left: 6 (18 enodes) 1540196688.186 * * [misc]simplify: iters left: 5 (27 enodes) 1540196688.192 * * [misc]simplify: iters left: 4 (46 enodes) 1540196688.202 * * [misc]simplify: iters left: 3 (94 enodes) 1540196688.236 * * [misc]simplify: iters left: 2 (181 enodes) 1540196688.318 * * [misc]simplify: iters left: 1 (322 enodes) 1540196688.491 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196688.491 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196688.491 * * * * [misc]progress: [ 862 / 6870 ] simplifiying candidate # 1540196688.491 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (sqrt (sqrt k))) 1540196688.491 * * [misc]simplify: iters left: 6 (12 enodes) 1540196688.495 * * [misc]simplify: iters left: 5 (18 enodes) 1540196688.502 * * [misc]simplify: iters left: 4 (28 enodes) 1540196688.506 * * [misc]simplify: iters left: 3 (43 enodes) 1540196688.512 * * [misc]simplify: iters left: 2 (60 enodes) 1540196688.521 * * [misc]simplify: iters left: 1 (77 enodes) 1540196688.539 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196688.539 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196688.539 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196688.540 * * [misc]simplify: iters left: 6 (19 enodes) 1540196688.545 * * [misc]simplify: iters left: 5 (30 enodes) 1540196688.551 * * [misc]simplify: iters left: 4 (47 enodes) 1540196688.558 * * [misc]simplify: iters left: 3 (99 enodes) 1540196688.578 * * [misc]simplify: iters left: 2 (206 enodes) 1540196688.676 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540196688.676 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))))) 1540196688.676 * * * * [misc]progress: [ 863 / 6870 ] simplifiying candidate # 1540196688.676 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196688.676 * * [misc]simplify: iters left: 6 (15 enodes) 1540196688.682 * * [misc]simplify: iters left: 5 (24 enodes) 1540196688.690 * * [misc]simplify: iters left: 4 (42 enodes) 1540196688.707 * * [misc]simplify: iters left: 3 (90 enodes) 1540196688.731 * * [misc]simplify: iters left: 2 (177 enodes) 1540196688.796 * * [misc]simplify: iters left: 1 (319 enodes) 1540196688.955 * [exit]simplify: Simplified to (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) 1540196688.955 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196688.955 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196688.955 * * [misc]simplify: iters left: 6 (15 enodes) 1540196688.959 * * [misc]simplify: iters left: 5 (21 enodes) 1540196688.966 * * [misc]simplify: iters left: 4 (31 enodes) 1540196688.973 * * [misc]simplify: iters left: 3 (46 enodes) 1540196688.981 * * [misc]simplify: iters left: 2 (63 enodes) 1540196688.989 * * [misc]simplify: iters left: 1 (80 enodes) 1540196689.002 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196689.002 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196689.002 * * * * [misc]progress: [ 864 / 6870 ] simplifiying candidate # 1540196689.003 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196689.003 * * [misc]simplify: iters left: 6 (19 enodes) 1540196689.008 * * [misc]simplify: iters left: 5 (29 enodes) 1540196689.012 * * [misc]simplify: iters left: 4 (50 enodes) 1540196689.019 * * [misc]simplify: iters left: 3 (85 enodes) 1540196689.032 * * [misc]simplify: iters left: 2 (132 enodes) 1540196689.070 * * [misc]simplify: iters left: 1 (198 enodes) 1540196689.121 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196689.121 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196689.121 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196689.121 * * [misc]simplify: iters left: 6 (19 enodes) 1540196689.127 * * [misc]simplify: iters left: 5 (26 enodes) 1540196689.134 * * [misc]simplify: iters left: 4 (37 enodes) 1540196689.144 * * [misc]simplify: iters left: 3 (52 enodes) 1540196689.159 * * [misc]simplify: iters left: 2 (69 enodes) 1540196689.172 * * [misc]simplify: iters left: 1 (86 enodes) 1540196689.183 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196689.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196689.183 * * * * [misc]progress: [ 865 / 6870 ] simplifiying candidate # 1540196689.184 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196689.184 * * [misc]simplify: iters left: 6 (18 enodes) 1540196689.186 * * [misc]simplify: iters left: 5 (26 enodes) 1540196689.190 * * [misc]simplify: iters left: 4 (39 enodes) 1540196689.195 * * [misc]simplify: iters left: 3 (54 enodes) 1540196689.202 * * [misc]simplify: iters left: 2 (71 enodes) 1540196689.211 * * [misc]simplify: iters left: 1 (88 enodes) 1540196689.230 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196689.230 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196689.231 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196689.231 * * [misc]simplify: iters left: 6 (19 enodes) 1540196689.236 * * [misc]simplify: iters left: 5 (26 enodes) 1540196689.243 * * [misc]simplify: iters left: 4 (37 enodes) 1540196689.253 * * [misc]simplify: iters left: 3 (52 enodes) 1540196689.260 * * [misc]simplify: iters left: 2 (69 enodes) 1540196689.272 * * [misc]simplify: iters left: 1 (86 enodes) 1540196689.295 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196689.295 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196689.296 * * * * [misc]progress: [ 866 / 6870 ] simplifiying candidate # 1540196689.296 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196689.296 * * [misc]simplify: iters left: 6 (17 enodes) 1540196689.299 * * [misc]simplify: iters left: 5 (28 enodes) 1540196689.304 * * [misc]simplify: iters left: 4 (56 enodes) 1540196689.315 * * [misc]simplify: iters left: 3 (158 enodes) 1540196689.372 * * [misc]simplify: iters left: 2 (409 enodes) 1540196689.627 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196689.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196689.628 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196689.628 * * [misc]simplify: iters left: 6 (17 enodes) 1540196689.630 * * [misc]simplify: iters left: 5 (25 enodes) 1540196689.634 * * [misc]simplify: iters left: 4 (43 enodes) 1540196689.641 * * [misc]simplify: iters left: 3 (91 enodes) 1540196689.663 * * [misc]simplify: iters left: 2 (178 enodes) 1540196689.711 * * [misc]simplify: iters left: 1 (319 enodes) 1540196689.851 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196689.851 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))))) 1540196689.851 * * * * [misc]progress: [ 867 / 6870 ] simplifiying candidate # 1540196689.851 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196689.852 * * [misc]simplify: iters left: 6 (17 enodes) 1540196689.855 * * [misc]simplify: iters left: 5 (28 enodes) 1540196689.859 * * [misc]simplify: iters left: 4 (56 enodes) 1540196689.872 * * [misc]simplify: iters left: 3 (158 enodes) 1540196689.965 * * [misc]simplify: iters left: 2 (409 enodes) 1540196690.303 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196690.303 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196690.303 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196690.304 * * [misc]simplify: iters left: 6 (17 enodes) 1540196690.308 * * [misc]simplify: iters left: 5 (25 enodes) 1540196690.316 * * [misc]simplify: iters left: 4 (43 enodes) 1540196690.329 * * [misc]simplify: iters left: 3 (91 enodes) 1540196690.364 * * [misc]simplify: iters left: 2 (178 enodes) 1540196690.447 * * [misc]simplify: iters left: 1 (319 enodes) 1540196690.634 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196690.634 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))))) 1540196690.634 * * * * [misc]progress: [ 868 / 6870 ] simplifiying candidate # 1540196690.634 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196690.634 * * [misc]simplify: iters left: 6 (21 enodes) 1540196690.641 * * [misc]simplify: iters left: 5 (37 enodes) 1540196690.655 * * [misc]simplify: iters left: 4 (88 enodes) 1540196690.693 * * [misc]simplify: iters left: 3 (262 enodes) 1540196690.907 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196690.907 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196690.907 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196690.908 * * [misc]simplify: iters left: 6 (20 enodes) 1540196690.910 * * [misc]simplify: iters left: 5 (29 enodes) 1540196690.915 * * [misc]simplify: iters left: 4 (48 enodes) 1540196690.923 * * [misc]simplify: iters left: 3 (96 enodes) 1540196690.945 * * [misc]simplify: iters left: 2 (183 enodes) 1540196691.029 * * [misc]simplify: iters left: 1 (325 enodes) 1540196691.172 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196691.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196691.172 * * * * [misc]progress: [ 869 / 6870 ] simplifiying candidate # 1540196691.172 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196691.173 * * [misc]simplify: iters left: 6 (20 enodes) 1540196691.179 * * [misc]simplify: iters left: 5 (32 enodes) 1540196691.188 * * [misc]simplify: iters left: 4 (63 enodes) 1540196691.212 * * [misc]simplify: iters left: 3 (165 enodes) 1540196691.291 * * [misc]simplify: iters left: 2 (420 enodes) 1540196691.649 * [exit]simplify: Simplified to (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196691.649 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196691.650 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196691.650 * * [misc]simplify: iters left: 6 (20 enodes) 1540196691.653 * * [misc]simplify: iters left: 5 (29 enodes) 1540196691.657 * * [misc]simplify: iters left: 4 (48 enodes) 1540196691.669 * * [misc]simplify: iters left: 3 (96 enodes) 1540196691.709 * * [misc]simplify: iters left: 2 (183 enodes) 1540196691.790 * * [misc]simplify: iters left: 1 (325 enodes) 1540196691.936 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196691.936 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196691.936 * * * * [misc]progress: [ 870 / 6870 ] simplifiying candidate # 1540196691.936 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196691.936 * * [misc]simplify: iters left: 6 (16 enodes) 1540196691.939 * * [misc]simplify: iters left: 5 (28 enodes) 1540196691.944 * * [misc]simplify: iters left: 4 (56 enodes) 1540196691.953 * * [misc]simplify: iters left: 3 (111 enodes) 1540196691.987 * * [misc]simplify: iters left: 2 (306 enodes) 1540196692.182 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196692.182 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196692.182 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196692.182 * * [misc]simplify: iters left: 6 (19 enodes) 1540196692.189 * * [misc]simplify: iters left: 5 (28 enodes) 1540196692.200 * * [misc]simplify: iters left: 4 (47 enodes) 1540196692.214 * * [misc]simplify: iters left: 3 (95 enodes) 1540196692.245 * * [misc]simplify: iters left: 2 (182 enodes) 1540196692.304 * * [misc]simplify: iters left: 1 (322 enodes) 1540196692.490 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))) 1540196692.490 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1540196692.490 * * * * [misc]progress: [ 871 / 6870 ] simplifiying candidate # 1540196692.490 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196692.490 * * [misc]simplify: iters left: 6 (18 enodes) 1540196692.494 * * [misc]simplify: iters left: 5 (28 enodes) 1540196692.498 * * [misc]simplify: iters left: 4 (46 enodes) 1540196692.507 * * [misc]simplify: iters left: 3 (94 enodes) 1540196692.539 * * [misc]simplify: iters left: 2 (181 enodes) 1540196692.613 * * [misc]simplify: iters left: 1 (322 enodes) 1540196692.781 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196692.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196692.781 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196692.781 * * [misc]simplify: iters left: 6 (18 enodes) 1540196692.784 * * [misc]simplify: iters left: 5 (26 enodes) 1540196692.788 * * [misc]simplify: iters left: 4 (44 enodes) 1540196692.796 * * [misc]simplify: iters left: 3 (92 enodes) 1540196692.820 * * [misc]simplify: iters left: 2 (179 enodes) 1540196692.897 * * [misc]simplify: iters left: 1 (315 enodes) 1540196693.087 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196693.087 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196693.087 * * * * [misc]progress: [ 872 / 6870 ] simplifiying candidate # 1540196693.087 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196693.088 * * [misc]simplify: iters left: 6 (18 enodes) 1540196693.095 * * [misc]simplify: iters left: 5 (28 enodes) 1540196693.103 * * [misc]simplify: iters left: 4 (46 enodes) 1540196693.113 * * [misc]simplify: iters left: 3 (94 enodes) 1540196693.131 * * [misc]simplify: iters left: 2 (181 enodes) 1540196693.209 * * [misc]simplify: iters left: 1 (322 enodes) 1540196693.397 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196693.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196693.398 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196693.398 * * [misc]simplify: iters left: 6 (18 enodes) 1540196693.403 * * [misc]simplify: iters left: 5 (26 enodes) 1540196693.411 * * [misc]simplify: iters left: 4 (44 enodes) 1540196693.425 * * [misc]simplify: iters left: 3 (92 enodes) 1540196693.446 * * [misc]simplify: iters left: 2 (179 enodes) 1540196693.485 * * [misc]simplify: iters left: 1 (315 enodes) 1540196693.677 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196693.677 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196693.677 * * * * [misc]progress: [ 873 / 6870 ] simplifiying candidate # 1540196693.677 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196693.677 * * [misc]simplify: iters left: 6 (22 enodes) 1540196693.681 * * [misc]simplify: iters left: 5 (35 enodes) 1540196693.686 * * [misc]simplify: iters left: 4 (62 enodes) 1540196693.697 * * [misc]simplify: iters left: 3 (141 enodes) 1540196693.756 * * [misc]simplify: iters left: 2 (337 enodes) 1540196693.998 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196693.999 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196693.999 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196693.999 * * [misc]simplify: iters left: 6 (21 enodes) 1540196694.005 * * [misc]simplify: iters left: 5 (30 enodes) 1540196694.014 * * [misc]simplify: iters left: 4 (49 enodes) 1540196694.030 * * [misc]simplify: iters left: 3 (97 enodes) 1540196694.067 * * [misc]simplify: iters left: 2 (184 enodes) 1540196694.144 * * [misc]simplify: iters left: 1 (320 enodes) 1540196694.290 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196694.290 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196694.290 * * * * [misc]progress: [ 874 / 6870 ] simplifiying candidate # 1540196694.291 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196694.291 * * [misc]simplify: iters left: 6 (21 enodes) 1540196694.298 * * [misc]simplify: iters left: 5 (32 enodes) 1540196694.307 * * [misc]simplify: iters left: 4 (53 enodes) 1540196694.324 * * [misc]simplify: iters left: 3 (101 enodes) 1540196694.360 * * [misc]simplify: iters left: 2 (188 enodes) 1540196694.443 * * [misc]simplify: iters left: 1 (325 enodes) 1540196694.616 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) 1540196694.616 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196694.616 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196694.617 * * [misc]simplify: iters left: 6 (21 enodes) 1540196694.622 * * [misc]simplify: iters left: 5 (30 enodes) 1540196694.626 * * [misc]simplify: iters left: 4 (49 enodes) 1540196694.635 * * [misc]simplify: iters left: 3 (97 enodes) 1540196694.660 * * [misc]simplify: iters left: 2 (184 enodes) 1540196694.717 * * [misc]simplify: iters left: 1 (320 enodes) 1540196694.898 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196694.899 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196694.899 * * * * [misc]progress: [ 875 / 6870 ] simplifiying candidate # 1540196694.899 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196694.899 * * [misc]simplify: iters left: 6 (17 enodes) 1540196694.905 * * [misc]simplify: iters left: 5 (27 enodes) 1540196694.913 * * [misc]simplify: iters left: 4 (42 enodes) 1540196694.928 * * [misc]simplify: iters left: 3 (76 enodes) 1540196694.960 * * [misc]simplify: iters left: 2 (155 enodes) 1540196695.013 * * [misc]simplify: iters left: 1 (338 enodes) 1540196695.251 * [exit]simplify: Simplified to (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196695.252 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196695.252 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196695.252 * * [misc]simplify: iters left: 6 (20 enodes) 1540196695.258 * * [misc]simplify: iters left: 5 (29 enodes) 1540196695.266 * * [misc]simplify: iters left: 4 (48 enodes) 1540196695.275 * * [misc]simplify: iters left: 3 (96 enodes) 1540196695.293 * * [misc]simplify: iters left: 2 (183 enodes) 1540196695.349 * * [misc]simplify: iters left: 1 (325 enodes) 1540196695.529 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196695.529 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196695.529 * * * * [misc]progress: [ 876 / 6870 ] simplifiying candidate # 1540196695.529 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196695.530 * * [misc]simplify: iters left: 6 (15 enodes) 1540196695.535 * * [misc]simplify: iters left: 5 (24 enodes) 1540196695.543 * * [misc]simplify: iters left: 4 (41 enodes) 1540196695.551 * * [misc]simplify: iters left: 3 (86 enodes) 1540196695.567 * * [misc]simplify: iters left: 2 (151 enodes) 1540196695.608 * * [misc]simplify: iters left: 1 (230 enodes) 1540196695.691 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196695.691 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196695.692 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196695.692 * * [misc]simplify: iters left: 6 (16 enodes) 1540196695.696 * * [misc]simplify: iters left: 5 (24 enodes) 1540196695.704 * * [misc]simplify: iters left: 4 (41 enodes) 1540196695.714 * * [misc]simplify: iters left: 3 (86 enodes) 1540196695.730 * * [misc]simplify: iters left: 2 (151 enodes) 1540196695.785 * * [misc]simplify: iters left: 1 (234 enodes) 1540196695.855 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196695.855 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196695.855 * * * * [misc]progress: [ 877 / 6870 ] simplifiying candidate # 1540196695.855 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196695.855 * * [misc]simplify: iters left: 6 (15 enodes) 1540196695.858 * * [misc]simplify: iters left: 5 (24 enodes) 1540196695.862 * * [misc]simplify: iters left: 4 (41 enodes) 1540196695.869 * * [misc]simplify: iters left: 3 (86 enodes) 1540196695.892 * * [misc]simplify: iters left: 2 (151 enodes) 1540196695.958 * * [misc]simplify: iters left: 1 (230 enodes) 1540196696.037 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196696.037 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196696.037 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196696.037 * * [misc]simplify: iters left: 6 (16 enodes) 1540196696.039 * * [misc]simplify: iters left: 5 (24 enodes) 1540196696.043 * * [misc]simplify: iters left: 4 (41 enodes) 1540196696.051 * * [misc]simplify: iters left: 3 (86 enodes) 1540196696.067 * * [misc]simplify: iters left: 2 (151 enodes) 1540196696.120 * * [misc]simplify: iters left: 1 (234 enodes) 1540196696.205 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196696.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196696.206 * * * * [misc]progress: [ 878 / 6870 ] simplifiying candidate # 1540196696.206 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196696.206 * * [misc]simplify: iters left: 6 (19 enodes) 1540196696.212 * * [misc]simplify: iters left: 5 (31 enodes) 1540196696.221 * * [misc]simplify: iters left: 4 (57 enodes) 1540196696.241 * * [misc]simplify: iters left: 3 (133 enodes) 1540196696.305 * * [misc]simplify: iters left: 2 (298 enodes) 1540196696.475 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196696.475 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196696.475 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196696.475 * * [misc]simplify: iters left: 6 (19 enodes) 1540196696.478 * * [misc]simplify: iters left: 5 (28 enodes) 1540196696.482 * * [misc]simplify: iters left: 4 (46 enodes) 1540196696.489 * * [misc]simplify: iters left: 3 (91 enodes) 1540196696.520 * * [misc]simplify: iters left: 2 (156 enodes) 1540196696.588 * * [misc]simplify: iters left: 1 (236 enodes) 1540196696.701 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196696.701 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196696.701 * * * * [misc]progress: [ 879 / 6870 ] simplifiying candidate # 1540196696.702 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196696.702 * * [misc]simplify: iters left: 6 (18 enodes) 1540196696.707 * * [misc]simplify: iters left: 5 (28 enodes) 1540196696.716 * * [misc]simplify: iters left: 4 (48 enodes) 1540196696.731 * * [misc]simplify: iters left: 3 (93 enodes) 1540196696.754 * * [misc]simplify: iters left: 2 (158 enodes) 1540196696.803 * * [misc]simplify: iters left: 1 (243 enodes) 1540196696.915 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196696.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196696.915 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196696.915 * * [misc]simplify: iters left: 6 (19 enodes) 1540196696.918 * * [misc]simplify: iters left: 5 (28 enodes) 1540196696.922 * * [misc]simplify: iters left: 4 (46 enodes) 1540196696.928 * * [misc]simplify: iters left: 3 (91 enodes) 1540196696.945 * * [misc]simplify: iters left: 2 (156 enodes) 1540196697.012 * * [misc]simplify: iters left: 1 (236 enodes) 1540196697.123 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196697.123 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196697.123 * * * * [misc]progress: [ 880 / 6870 ] simplifiying candidate # 1540196697.123 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196697.123 * * [misc]simplify: iters left: 6 (14 enodes) 1540196697.126 * * [misc]simplify: iters left: 5 (24 enodes) 1540196697.130 * * [misc]simplify: iters left: 4 (45 enodes) 1540196697.137 * * [misc]simplify: iters left: 3 (68 enodes) 1540196697.147 * * [misc]simplify: iters left: 2 (101 enodes) 1540196697.167 * * [misc]simplify: iters left: 1 (157 enodes) 1540196697.214 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540196697.214 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196697.214 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196697.214 * * [misc]simplify: iters left: 6 (18 enodes) 1540196697.217 * * [misc]simplify: iters left: 5 (27 enodes) 1540196697.220 * * [misc]simplify: iters left: 4 (45 enodes) 1540196697.228 * * [misc]simplify: iters left: 3 (90 enodes) 1540196697.251 * * [misc]simplify: iters left: 2 (155 enodes) 1540196697.293 * * [misc]simplify: iters left: 1 (239 enodes) 1540196697.355 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196697.355 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196697.355 * * * * [misc]progress: [ 881 / 6870 ] simplifiying candidate # 1540196697.356 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196697.356 * * [misc]simplify: iters left: 6 (17 enodes) 1540196697.362 * * [misc]simplify: iters left: 5 (28 enodes) 1540196697.370 * * [misc]simplify: iters left: 4 (48 enodes) 1540196697.387 * * [misc]simplify: iters left: 3 (115 enodes) 1540196697.437 * * [misc]simplify: iters left: 2 (271 enodes) 1540196697.631 * * [misc]simplify: iters left: 1 (496 enodes) 1540196697.970 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540196697.970 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196697.971 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196697.971 * * [misc]simplify: iters left: 6 (16 enodes) 1540196697.973 * * [misc]simplify: iters left: 5 (24 enodes) 1540196697.976 * * [misc]simplify: iters left: 4 (42 enodes) 1540196697.984 * * [misc]simplify: iters left: 3 (90 enodes) 1540196698.001 * * [misc]simplify: iters left: 2 (177 enodes) 1540196698.042 * * [misc]simplify: iters left: 1 (315 enodes) 1540196698.170 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196698.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196698.171 * * * * [misc]progress: [ 882 / 6870 ] simplifiying candidate # 1540196698.171 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196698.171 * * [misc]simplify: iters left: 6 (17 enodes) 1540196698.178 * * [misc]simplify: iters left: 5 (28 enodes) 1540196698.186 * * [misc]simplify: iters left: 4 (48 enodes) 1540196698.203 * * [misc]simplify: iters left: 3 (115 enodes) 1540196698.255 * * [misc]simplify: iters left: 2 (271 enodes) 1540196698.375 * * [misc]simplify: iters left: 1 (496 enodes) 1540196698.691 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540196698.691 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196698.691 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196698.691 * * [misc]simplify: iters left: 6 (16 enodes) 1540196698.694 * * [misc]simplify: iters left: 5 (24 enodes) 1540196698.697 * * [misc]simplify: iters left: 4 (42 enodes) 1540196698.704 * * [misc]simplify: iters left: 3 (90 enodes) 1540196698.721 * * [misc]simplify: iters left: 2 (177 enodes) 1540196698.779 * * [misc]simplify: iters left: 1 (315 enodes) 1540196698.959 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196698.959 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196698.959 * * * * [misc]progress: [ 883 / 6870 ] simplifiying candidate # 1540196698.959 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196698.959 * * [misc]simplify: iters left: 6 (21 enodes) 1540196698.967 * * [misc]simplify: iters left: 5 (35 enodes) 1540196698.977 * * [misc]simplify: iters left: 4 (65 enodes) 1540196699.002 * * [misc]simplify: iters left: 3 (171 enodes) 1540196699.085 * * [misc]simplify: iters left: 2 (455 enodes) 1540196699.466 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n)))) 1540196699.466 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196699.466 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196699.466 * * [misc]simplify: iters left: 6 (19 enodes) 1540196699.469 * * [misc]simplify: iters left: 5 (28 enodes) 1540196699.473 * * [misc]simplify: iters left: 4 (47 enodes) 1540196699.480 * * [misc]simplify: iters left: 3 (95 enodes) 1540196699.518 * * [misc]simplify: iters left: 2 (182 enodes) 1540196699.575 * * [misc]simplify: iters left: 1 (320 enodes) 1540196699.695 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196699.695 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196699.695 * * * * [misc]progress: [ 884 / 6870 ] simplifiying candidate # 1540196699.695 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196699.695 * * [misc]simplify: iters left: 6 (20 enodes) 1540196699.699 * * [misc]simplify: iters left: 5 (32 enodes) 1540196699.703 * * [misc]simplify: iters left: 4 (55 enodes) 1540196699.712 * * [misc]simplify: iters left: 3 (122 enodes) 1540196699.756 * * [misc]simplify: iters left: 2 (285 enodes) 1540196699.931 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196699.931 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196699.932 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196699.932 * * [misc]simplify: iters left: 6 (19 enodes) 1540196699.937 * * [misc]simplify: iters left: 5 (28 enodes) 1540196699.946 * * [misc]simplify: iters left: 4 (47 enodes) 1540196699.960 * * [misc]simplify: iters left: 3 (95 enodes) 1540196699.993 * * [misc]simplify: iters left: 2 (182 enodes) 1540196700.052 * * [misc]simplify: iters left: 1 (320 enodes) 1540196700.211 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196700.211 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196700.212 * * * * [misc]progress: [ 885 / 6870 ] simplifiying candidate # 1540196700.212 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196700.212 * * [misc]simplify: iters left: 6 (15 enodes) 1540196700.215 * * [misc]simplify: iters left: 5 (25 enodes) 1540196700.218 * * [misc]simplify: iters left: 4 (33 enodes) 1540196700.223 * * [misc]simplify: iters left: 3 (55 enodes) 1540196700.232 * * [misc]simplify: iters left: 2 (89 enodes) 1540196700.254 * * [misc]simplify: iters left: 1 (147 enodes) 1540196700.325 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196700.325 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196700.325 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196700.325 * * [misc]simplify: iters left: 6 (18 enodes) 1540196700.328 * * [misc]simplify: iters left: 5 (27 enodes) 1540196700.332 * * [misc]simplify: iters left: 4 (46 enodes) 1540196700.339 * * [misc]simplify: iters left: 3 (94 enodes) 1540196700.361 * * [misc]simplify: iters left: 2 (181 enodes) 1540196700.429 * * [misc]simplify: iters left: 1 (322 enodes) 1540196700.601 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196700.601 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196700.601 * * * * [misc]progress: [ 886 / 6870 ] simplifiying candidate # 1540196700.601 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196700.602 * * [misc]simplify: iters left: 6 (15 enodes) 1540196700.607 * * [misc]simplify: iters left: 5 (24 enodes) 1540196700.615 * * [misc]simplify: iters left: 4 (41 enodes) 1540196700.622 * * [misc]simplify: iters left: 3 (86 enodes) 1540196700.643 * * [misc]simplify: iters left: 2 (151 enodes) 1540196700.705 * * [misc]simplify: iters left: 1 (230 enodes) 1540196700.811 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196700.811 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196700.811 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196700.812 * * [misc]simplify: iters left: 6 (16 enodes) 1540196700.816 * * [misc]simplify: iters left: 5 (24 enodes) 1540196700.820 * * [misc]simplify: iters left: 4 (41 enodes) 1540196700.827 * * [misc]simplify: iters left: 3 (86 enodes) 1540196700.843 * * [misc]simplify: iters left: 2 (151 enodes) 1540196700.909 * * [misc]simplify: iters left: 1 (234 enodes) 1540196701.003 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196701.003 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196701.003 * * * * [misc]progress: [ 887 / 6870 ] simplifiying candidate # 1540196701.003 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196701.003 * * [misc]simplify: iters left: 6 (15 enodes) 1540196701.006 * * [misc]simplify: iters left: 5 (24 enodes) 1540196701.010 * * [misc]simplify: iters left: 4 (41 enodes) 1540196701.018 * * [misc]simplify: iters left: 3 (86 enodes) 1540196701.053 * * [misc]simplify: iters left: 2 (151 enodes) 1540196701.119 * * [misc]simplify: iters left: 1 (230 enodes) 1540196701.230 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196701.230 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196701.230 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196701.230 * * [misc]simplify: iters left: 6 (16 enodes) 1540196701.235 * * [misc]simplify: iters left: 5 (24 enodes) 1540196701.242 * * [misc]simplify: iters left: 4 (41 enodes) 1540196701.255 * * [misc]simplify: iters left: 3 (86 enodes) 1540196701.291 * * [misc]simplify: iters left: 2 (151 enodes) 1540196701.353 * * [misc]simplify: iters left: 1 (234 enodes) 1540196701.469 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196701.469 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196701.469 * * * * [misc]progress: [ 888 / 6870 ] simplifiying candidate # 1540196701.469 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196701.469 * * [misc]simplify: iters left: 6 (19 enodes) 1540196701.472 * * [misc]simplify: iters left: 5 (31 enodes) 1540196701.477 * * [misc]simplify: iters left: 4 (57 enodes) 1540196701.489 * * [misc]simplify: iters left: 3 (133 enodes) 1540196701.530 * * [misc]simplify: iters left: 2 (298 enodes) 1540196701.709 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196701.709 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196701.709 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196701.710 * * [misc]simplify: iters left: 6 (19 enodes) 1540196701.713 * * [misc]simplify: iters left: 5 (28 enodes) 1540196701.717 * * [misc]simplify: iters left: 4 (46 enodes) 1540196701.726 * * [misc]simplify: iters left: 3 (91 enodes) 1540196701.758 * * [misc]simplify: iters left: 2 (156 enodes) 1540196701.807 * * [misc]simplify: iters left: 1 (236 enodes) 1540196701.889 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196701.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196701.889 * * * * [misc]progress: [ 889 / 6870 ] simplifiying candidate # 1540196701.889 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196701.890 * * [misc]simplify: iters left: 6 (18 enodes) 1540196701.895 * * [misc]simplify: iters left: 5 (28 enodes) 1540196701.903 * * [misc]simplify: iters left: 4 (48 enodes) 1540196701.918 * * [misc]simplify: iters left: 3 (93 enodes) 1540196701.939 * * [misc]simplify: iters left: 2 (158 enodes) 1540196701.978 * * [misc]simplify: iters left: 1 (243 enodes) 1540196702.053 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196702.053 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196702.054 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196702.054 * * [misc]simplify: iters left: 6 (19 enodes) 1540196702.060 * * [misc]simplify: iters left: 5 (28 enodes) 1540196702.069 * * [misc]simplify: iters left: 4 (46 enodes) 1540196702.084 * * [misc]simplify: iters left: 3 (91 enodes) 1540196702.118 * * [misc]simplify: iters left: 2 (156 enodes) 1540196702.188 * * [misc]simplify: iters left: 1 (236 enodes) 1540196702.272 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196702.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196702.272 * * * * [misc]progress: [ 890 / 6870 ] simplifiying candidate # 1540196702.272 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196702.273 * * [misc]simplify: iters left: 6 (14 enodes) 1540196702.276 * * [misc]simplify: iters left: 5 (24 enodes) 1540196702.283 * * [misc]simplify: iters left: 4 (45 enodes) 1540196702.298 * * [misc]simplify: iters left: 3 (68 enodes) 1540196702.316 * * [misc]simplify: iters left: 2 (101 enodes) 1540196702.357 * * [misc]simplify: iters left: 1 (157 enodes) 1540196702.398 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540196702.398 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196702.398 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196702.398 * * [misc]simplify: iters left: 6 (18 enodes) 1540196702.400 * * [misc]simplify: iters left: 5 (27 enodes) 1540196702.404 * * [misc]simplify: iters left: 4 (45 enodes) 1540196702.411 * * [misc]simplify: iters left: 3 (90 enodes) 1540196702.433 * * [misc]simplify: iters left: 2 (155 enodes) 1540196702.502 * * [misc]simplify: iters left: 1 (239 enodes) 1540196702.611 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196702.611 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196702.611 * * * * [misc]progress: [ 891 / 6870 ] simplifiying candidate # 1540196702.611 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196702.611 * * [misc]simplify: iters left: 6 (16 enodes) 1540196702.614 * * [misc]simplify: iters left: 5 (27 enodes) 1540196702.618 * * [misc]simplify: iters left: 4 (43 enodes) 1540196702.626 * * [misc]simplify: iters left: 3 (95 enodes) 1540196702.644 * * [misc]simplify: iters left: 2 (200 enodes) 1540196702.743 * * [misc]simplify: iters left: 1 (409 enodes) 1540196703.073 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196703.073 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196703.074 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196703.074 * * [misc]simplify: iters left: 6 (16 enodes) 1540196703.079 * * [misc]simplify: iters left: 5 (24 enodes) 1540196703.086 * * [misc]simplify: iters left: 4 (42 enodes) 1540196703.099 * * [misc]simplify: iters left: 3 (90 enodes) 1540196703.117 * * [misc]simplify: iters left: 2 (177 enodes) 1540196703.189 * * [misc]simplify: iters left: 1 (315 enodes) 1540196703.353 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196703.353 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196703.353 * * * * [misc]progress: [ 892 / 6870 ] simplifiying candidate # 1540196703.354 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196703.354 * * [misc]simplify: iters left: 6 (16 enodes) 1540196703.357 * * [misc]simplify: iters left: 5 (27 enodes) 1540196703.363 * * [misc]simplify: iters left: 4 (43 enodes) 1540196703.371 * * [misc]simplify: iters left: 3 (95 enodes) 1540196703.389 * * [misc]simplify: iters left: 2 (200 enodes) 1540196703.473 * * [misc]simplify: iters left: 1 (409 enodes) 1540196703.798 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196703.798 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196703.799 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196703.799 * * [misc]simplify: iters left: 6 (16 enodes) 1540196703.801 * * [misc]simplify: iters left: 5 (24 enodes) 1540196703.806 * * [misc]simplify: iters left: 4 (42 enodes) 1540196703.812 * * [misc]simplify: iters left: 3 (90 enodes) 1540196703.839 * * [misc]simplify: iters left: 2 (177 enodes) 1540196703.908 * * [misc]simplify: iters left: 1 (315 enodes) 1540196704.021 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196704.021 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196704.021 * * * * [misc]progress: [ 893 / 6870 ] simplifiying candidate # 1540196704.022 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196704.022 * * [misc]simplify: iters left: 6 (20 enodes) 1540196704.025 * * [misc]simplify: iters left: 5 (34 enodes) 1540196704.029 * * [misc]simplify: iters left: 4 (59 enodes) 1540196704.041 * * [misc]simplify: iters left: 3 (153 enodes) 1540196704.076 * * [misc]simplify: iters left: 2 (394 enodes) 1540196704.356 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k))))) 1540196704.356 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196704.356 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196704.356 * * [misc]simplify: iters left: 6 (19 enodes) 1540196704.362 * * [misc]simplify: iters left: 5 (28 enodes) 1540196704.370 * * [misc]simplify: iters left: 4 (47 enodes) 1540196704.379 * * [misc]simplify: iters left: 3 (95 enodes) 1540196704.397 * * [misc]simplify: iters left: 2 (182 enodes) 1540196704.480 * * [misc]simplify: iters left: 1 (320 enodes) 1540196704.632 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196704.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196704.632 * * * * [misc]progress: [ 894 / 6870 ] simplifiying candidate # 1540196704.633 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196704.633 * * [misc]simplify: iters left: 6 (19 enodes) 1540196704.641 * * [misc]simplify: iters left: 5 (31 enodes) 1540196704.650 * * [misc]simplify: iters left: 4 (50 enodes) 1540196704.666 * * [misc]simplify: iters left: 3 (102 enodes) 1540196704.704 * * [misc]simplify: iters left: 2 (206 enodes) 1540196704.827 * * [misc]simplify: iters left: 1 (437 enodes) 1540196705.227 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196705.227 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196705.228 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196705.228 * * [misc]simplify: iters left: 6 (19 enodes) 1540196705.231 * * [misc]simplify: iters left: 5 (28 enodes) 1540196705.235 * * [misc]simplify: iters left: 4 (47 enodes) 1540196705.243 * * [misc]simplify: iters left: 3 (95 enodes) 1540196705.261 * * [misc]simplify: iters left: 2 (182 enodes) 1540196705.330 * * [misc]simplify: iters left: 1 (320 enodes) 1540196705.464 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196705.464 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196705.464 * * * * [misc]progress: [ 895 / 6870 ] simplifiying candidate # 1540196705.465 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 1)) 1540196705.465 * * [misc]simplify: iters left: 6 (14 enodes) 1540196705.467 * * [misc]simplify: iters left: 5 (22 enodes) 1540196705.469 * * [misc]simplify: iters left: 4 (30 enodes) 1540196705.474 * * [misc]simplify: iters left: 3 (45 enodes) 1540196705.479 * * [misc]simplify: iters left: 2 (68 enodes) 1540196705.489 * * [misc]simplify: iters left: 1 (86 enodes) 1540196705.507 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196705.507 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196705.508 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196705.508 * * [misc]simplify: iters left: 6 (18 enodes) 1540196705.513 * * [misc]simplify: iters left: 5 (27 enodes) 1540196705.524 * * [misc]simplify: iters left: 4 (46 enodes) 1540196705.538 * * [misc]simplify: iters left: 3 (94 enodes) 1540196705.571 * * [misc]simplify: iters left: 2 (181 enodes) 1540196705.621 * * [misc]simplify: iters left: 1 (322 enodes) 1540196705.760 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196705.760 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196705.760 * * * * [misc]progress: [ 896 / 6870 ] simplifiying candidate # 1540196705.761 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1) 1540196705.761 * * [misc]simplify: iters left: 6 (13 enodes) 1540196705.763 * * [misc]simplify: iters left: 5 (21 enodes) 1540196705.765 * * [misc]simplify: iters left: 4 (31 enodes) 1540196705.772 * * [misc]simplify: iters left: 3 (50 enodes) 1540196705.779 * * [misc]simplify: iters left: 2 (81 enodes) 1540196705.792 * * [misc]simplify: iters left: 1 (100 enodes) 1540196705.805 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196705.805 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196705.805 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196705.805 * * [misc]simplify: iters left: 6 (18 enodes) 1540196705.808 * * [misc]simplify: iters left: 5 (27 enodes) 1540196705.811 * * [misc]simplify: iters left: 4 (46 enodes) 1540196705.818 * * [misc]simplify: iters left: 3 (94 enodes) 1540196705.843 * * [misc]simplify: iters left: 2 (181 enodes) 1540196705.888 * * [misc]simplify: iters left: 1 (322 enodes) 1540196706.054 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196706.055 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196706.055 * * * * [misc]progress: [ 897 / 6870 ] simplifiying candidate # 1540196706.055 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (sqrt (sqrt k))) 1540196706.055 * * [misc]simplify: iters left: 6 (12 enodes) 1540196706.059 * * [misc]simplify: iters left: 5 (18 enodes) 1540196706.064 * * [misc]simplify: iters left: 4 (28 enodes) 1540196706.072 * * [misc]simplify: iters left: 3 (43 enodes) 1540196706.084 * * [misc]simplify: iters left: 2 (60 enodes) 1540196706.102 * * [misc]simplify: iters left: 1 (77 enodes) 1540196706.123 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196706.123 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196706.123 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196706.124 * * [misc]simplify: iters left: 6 (19 enodes) 1540196706.131 * * [misc]simplify: iters left: 5 (30 enodes) 1540196706.140 * * [misc]simplify: iters left: 4 (47 enodes) 1540196706.155 * * [misc]simplify: iters left: 3 (99 enodes) 1540196706.182 * * [misc]simplify: iters left: 2 (206 enodes) 1540196706.259 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540196706.259 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))))) 1540196706.259 * * * * [misc]progress: [ 898 / 6870 ] simplifiying candidate # 1540196706.260 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196706.260 * * [misc]simplify: iters left: 6 (15 enodes) 1540196706.266 * * [misc]simplify: iters left: 5 (24 enodes) 1540196706.274 * * [misc]simplify: iters left: 4 (42 enodes) 1540196706.288 * * [misc]simplify: iters left: 3 (90 enodes) 1540196706.324 * * [misc]simplify: iters left: 2 (177 enodes) 1540196706.398 * * [misc]simplify: iters left: 1 (319 enodes) 1540196706.559 * [exit]simplify: Simplified to (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) 1540196706.559 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196706.560 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196706.560 * * [misc]simplify: iters left: 6 (15 enodes) 1540196706.562 * * [misc]simplify: iters left: 5 (21 enodes) 1540196706.565 * * [misc]simplify: iters left: 4 (31 enodes) 1540196706.569 * * [misc]simplify: iters left: 3 (46 enodes) 1540196706.575 * * [misc]simplify: iters left: 2 (63 enodes) 1540196706.594 * * [misc]simplify: iters left: 1 (80 enodes) 1540196706.617 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196706.617 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196706.617 * * * * [misc]progress: [ 899 / 6870 ] simplifiying candidate # 1540196706.618 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196706.618 * * [misc]simplify: iters left: 6 (21 enodes) 1540196706.624 * * [misc]simplify: iters left: 5 (32 enodes) 1540196706.635 * * [misc]simplify: iters left: 4 (57 enodes) 1540196706.655 * * [misc]simplify: iters left: 3 (122 enodes) 1540196706.704 * * [misc]simplify: iters left: 2 (251 enodes) 1540196706.851 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196706.851 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196706.851 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196706.851 * * [misc]simplify: iters left: 6 (20 enodes) 1540196706.855 * * [misc]simplify: iters left: 5 (27 enodes) 1540196706.859 * * [misc]simplify: iters left: 4 (38 enodes) 1540196706.864 * * [misc]simplify: iters left: 3 (53 enodes) 1540196706.878 * * [misc]simplify: iters left: 2 (70 enodes) 1540196706.897 * * [misc]simplify: iters left: 1 (87 enodes) 1540196706.912 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196706.912 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196706.912 * * * * [misc]progress: [ 900 / 6870 ] simplifiying candidate # 1540196706.913 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196706.913 * * [misc]simplify: iters left: 6 (20 enodes) 1540196706.916 * * [misc]simplify: iters left: 5 (29 enodes) 1540196706.920 * * [misc]simplify: iters left: 4 (46 enodes) 1540196706.927 * * [misc]simplify: iters left: 3 (80 enodes) 1540196706.940 * * [misc]simplify: iters left: 2 (135 enodes) 1540196706.967 * * [misc]simplify: iters left: 1 (205 enodes) 1540196707.045 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196707.045 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196707.045 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196707.046 * * [misc]simplify: iters left: 6 (20 enodes) 1540196707.051 * * [misc]simplify: iters left: 5 (27 enodes) 1540196707.059 * * [misc]simplify: iters left: 4 (38 enodes) 1540196707.070 * * [misc]simplify: iters left: 3 (53 enodes) 1540196707.084 * * [misc]simplify: iters left: 2 (70 enodes) 1540196707.103 * * [misc]simplify: iters left: 1 (87 enodes) 1540196707.127 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196707.127 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196707.127 * * * * [misc]progress: [ 901 / 6870 ] simplifiying candidate # 1540196707.128 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196707.128 * * [misc]simplify: iters left: 6 (21 enodes) 1540196707.136 * * [misc]simplify: iters left: 5 (35 enodes) 1540196707.148 * * [misc]simplify: iters left: 4 (70 enodes) 1540196707.179 * * [misc]simplify: iters left: 3 (215 enodes) 1540196707.297 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196707.297 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196707.298 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196707.298 * * [misc]simplify: iters left: 6 (20 enodes) 1540196707.304 * * [misc]simplify: iters left: 5 (29 enodes) 1540196707.313 * * [misc]simplify: iters left: 4 (48 enodes) 1540196707.327 * * [misc]simplify: iters left: 3 (96 enodes) 1540196707.362 * * [misc]simplify: iters left: 2 (183 enodes) 1540196707.422 * * [misc]simplify: iters left: 1 (324 enodes) 1540196707.616 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196707.616 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196707.616 * * * * [misc]progress: [ 902 / 6870 ] simplifiying candidate # 1540196707.616 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196707.616 * * [misc]simplify: iters left: 6 (21 enodes) 1540196707.620 * * [misc]simplify: iters left: 5 (35 enodes) 1540196707.629 * * [misc]simplify: iters left: 4 (70 enodes) 1540196707.657 * * [misc]simplify: iters left: 3 (215 enodes) 1540196707.812 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196707.812 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196707.812 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196707.812 * * [misc]simplify: iters left: 6 (20 enodes) 1540196707.818 * * [misc]simplify: iters left: 5 (29 enodes) 1540196707.827 * * [misc]simplify: iters left: 4 (48 enodes) 1540196707.837 * * [misc]simplify: iters left: 3 (96 enodes) 1540196707.855 * * [misc]simplify: iters left: 2 (183 enodes) 1540196707.914 * * [misc]simplify: iters left: 1 (324 enodes) 1540196708.088 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196708.088 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196708.088 * * * * [misc]progress: [ 903 / 6870 ] simplifiying candidate # 1540196708.088 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196708.088 * * [misc]simplify: iters left: 6 (23 enodes) 1540196708.092 * * [misc]simplify: iters left: 5 (40 enodes) 1540196708.100 * * [misc]simplify: iters left: 4 (95 enodes) 1540196708.136 * * [misc]simplify: iters left: 3 (329 enodes) 1540196708.419 * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196708.419 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196708.419 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196708.419 * * [misc]simplify: iters left: 6 (21 enodes) 1540196708.422 * * [misc]simplify: iters left: 5 (30 enodes) 1540196708.426 * * [misc]simplify: iters left: 4 (49 enodes) 1540196708.436 * * [misc]simplify: iters left: 3 (97 enodes) 1540196708.472 * * [misc]simplify: iters left: 2 (184 enodes) 1540196708.521 * * [misc]simplify: iters left: 1 (323 enodes) 1540196708.646 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196708.646 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196708.647 * * * * [misc]progress: [ 904 / 6870 ] simplifiying candidate # 1540196708.647 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196708.647 * * [misc]simplify: iters left: 6 (22 enodes) 1540196708.653 * * [misc]simplify: iters left: 5 (35 enodes) 1540196708.663 * * [misc]simplify: iters left: 4 (70 enodes) 1540196708.687 * * [misc]simplify: iters left: 3 (215 enodes) 1540196708.781 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196708.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196708.781 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196708.781 * * [misc]simplify: iters left: 6 (21 enodes) 1540196708.784 * * [misc]simplify: iters left: 5 (30 enodes) 1540196708.789 * * [misc]simplify: iters left: 4 (49 enodes) 1540196708.796 * * [misc]simplify: iters left: 3 (97 enodes) 1540196708.825 * * [misc]simplify: iters left: 2 (184 enodes) 1540196708.864 * * [misc]simplify: iters left: 1 (323 enodes) 1540196709.003 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196709.003 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196709.003 * * * * [misc]progress: [ 905 / 6870 ] simplifiying candidate # 1540196709.004 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196709.004 * * [misc]simplify: iters left: 6 (21 enodes) 1540196709.010 * * [misc]simplify: iters left: 5 (36 enodes) 1540196709.021 * * [misc]simplify: iters left: 4 (71 enodes) 1540196709.044 * * [misc]simplify: iters left: 3 (209 enodes) 1540196709.159 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540196709.159 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196709.159 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196709.159 * * [misc]simplify: iters left: 6 (20 enodes) 1540196709.162 * * [misc]simplify: iters left: 5 (29 enodes) 1540196709.167 * * [misc]simplify: iters left: 4 (48 enodes) 1540196709.176 * * [misc]simplify: iters left: 3 (96 enodes) 1540196709.212 * * [misc]simplify: iters left: 2 (183 enodes) 1540196709.294 * * [misc]simplify: iters left: 1 (324 enodes) 1540196709.491 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196709.491 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196709.491 * * * * [misc]progress: [ 906 / 6870 ] simplifiying candidate # 1540196709.491 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196709.491 * * [misc]simplify: iters left: 6 (22 enodes) 1540196709.495 * * [misc]simplify: iters left: 5 (35 enodes) 1540196709.501 * * [misc]simplify: iters left: 4 (60 enodes) 1540196709.523 * * [misc]simplify: iters left: 3 (136 enodes) 1540196709.571 * * [misc]simplify: iters left: 2 (320 enodes) 1540196709.731 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt 2) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196709.731 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt 2) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196709.732 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196709.732 * * [misc]simplify: iters left: 6 (21 enodes) 1540196709.736 * * [misc]simplify: iters left: 5 (30 enodes) 1540196709.740 * * [misc]simplify: iters left: 4 (49 enodes) 1540196709.747 * * [misc]simplify: iters left: 3 (97 enodes) 1540196709.765 * * [misc]simplify: iters left: 2 (184 enodes) 1540196709.822 * * [misc]simplify: iters left: 1 (323 enodes) 1540196709.956 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196709.956 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt 2) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196709.956 * * * * [misc]progress: [ 907 / 6870 ] simplifiying candidate # 1540196709.957 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196709.957 * * [misc]simplify: iters left: 6 (22 enodes) 1540196709.961 * * [misc]simplify: iters left: 5 (35 enodes) 1540196709.967 * * [misc]simplify: iters left: 4 (60 enodes) 1540196709.987 * * [misc]simplify: iters left: 3 (136 enodes) 1540196710.046 * * [misc]simplify: iters left: 2 (320 enodes) 1540196710.233 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt 2) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196710.233 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt 2) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196710.233 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196710.233 * * [misc]simplify: iters left: 6 (21 enodes) 1540196710.236 * * [misc]simplify: iters left: 5 (30 enodes) 1540196710.240 * * [misc]simplify: iters left: 4 (49 enodes) 1540196710.247 * * [misc]simplify: iters left: 3 (97 enodes) 1540196710.265 * * [misc]simplify: iters left: 2 (184 enodes) 1540196710.343 * * [misc]simplify: iters left: 1 (323 enodes) 1540196710.546 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196710.546 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt 2) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196710.546 * * * * [misc]progress: [ 908 / 6870 ] simplifiying candidate # 1540196710.546 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196710.547 * * [misc]simplify: iters left: 6 (24 enodes) 1540196710.554 * * [misc]simplify: iters left: 5 (38 enodes) 1540196710.565 * * [misc]simplify: iters left: 4 (69 enodes) 1540196710.590 * * [misc]simplify: iters left: 3 (181 enodes) 1540196710.716 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196710.716 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196710.716 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196710.716 * * [misc]simplify: iters left: 6 (22 enodes) 1540196710.719 * * [misc]simplify: iters left: 5 (31 enodes) 1540196710.724 * * [misc]simplify: iters left: 4 (50 enodes) 1540196710.731 * * [misc]simplify: iters left: 3 (98 enodes) 1540196710.750 * * [misc]simplify: iters left: 2 (185 enodes) 1540196710.829 * * [misc]simplify: iters left: 1 (321 enodes) 1540196711.004 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196711.004 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196711.004 * * * * [misc]progress: [ 909 / 6870 ] simplifiying candidate # 1540196711.005 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196711.005 * * [misc]simplify: iters left: 6 (23 enodes) 1540196711.008 * * [misc]simplify: iters left: 5 (35 enodes) 1540196711.013 * * [misc]simplify: iters left: 4 (60 enodes) 1540196711.023 * * [misc]simplify: iters left: 3 (136 enodes) 1540196711.057 * * [misc]simplify: iters left: 2 (314 enodes) 1540196711.292 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196711.292 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196711.292 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196711.293 * * [misc]simplify: iters left: 6 (22 enodes) 1540196711.299 * * [misc]simplify: iters left: 5 (31 enodes) 1540196711.307 * * [misc]simplify: iters left: 4 (50 enodes) 1540196711.322 * * [misc]simplify: iters left: 3 (98 enodes) 1540196711.357 * * [misc]simplify: iters left: 2 (185 enodes) 1540196711.437 * * [misc]simplify: iters left: 1 (321 enodes) 1540196711.623 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196711.623 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196711.623 * * * * [misc]progress: [ 910 / 6870 ] simplifiying candidate # 1540196711.624 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196711.624 * * [misc]simplify: iters left: 6 (22 enodes) 1540196711.627 * * [misc]simplify: iters left: 5 (35 enodes) 1540196711.635 * * [misc]simplify: iters left: 4 (57 enodes) 1540196711.652 * * [misc]simplify: iters left: 3 (113 enodes) 1540196711.704 * * [misc]simplify: iters left: 2 (339 enodes) 1540196711.927 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196711.927 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196711.928 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196711.928 * * [misc]simplify: iters left: 6 (21 enodes) 1540196711.930 * * [misc]simplify: iters left: 5 (30 enodes) 1540196711.935 * * [misc]simplify: iters left: 4 (49 enodes) 1540196711.942 * * [misc]simplify: iters left: 3 (97 enodes) 1540196711.967 * * [misc]simplify: iters left: 2 (184 enodes) 1540196712.034 * * [misc]simplify: iters left: 1 (323 enodes) 1540196712.184 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196712.184 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196712.184 * * * * [misc]progress: [ 911 / 6870 ] simplifiying candidate # 1540196712.184 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196712.184 * * [misc]simplify: iters left: 6 (19 enodes) 1540196712.187 * * [misc]simplify: iters left: 5 (31 enodes) 1540196712.193 * * [misc]simplify: iters left: 4 (55 enodes) 1540196712.213 * * [misc]simplify: iters left: 3 (128 enodes) 1540196712.272 * * [misc]simplify: iters left: 2 (287 enodes) 1540196712.430 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196712.430 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196712.430 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196712.431 * * [misc]simplify: iters left: 6 (19 enodes) 1540196712.436 * * [misc]simplify: iters left: 5 (28 enodes) 1540196712.445 * * [misc]simplify: iters left: 4 (46 enodes) 1540196712.459 * * [misc]simplify: iters left: 3 (91 enodes) 1540196712.494 * * [misc]simplify: iters left: 2 (156 enodes) 1540196712.561 * * [misc]simplify: iters left: 1 (240 enodes) 1540196712.655 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196712.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196712.655 * * * * [misc]progress: [ 912 / 6870 ] simplifiying candidate # 1540196712.655 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196712.655 * * [misc]simplify: iters left: 6 (19 enodes) 1540196712.659 * * [misc]simplify: iters left: 5 (31 enodes) 1540196712.669 * * [misc]simplify: iters left: 4 (55 enodes) 1540196712.689 * * [misc]simplify: iters left: 3 (128 enodes) 1540196712.725 * * [misc]simplify: iters left: 2 (287 enodes) 1540196712.887 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196712.887 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196712.887 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196712.887 * * [misc]simplify: iters left: 6 (19 enodes) 1540196712.893 * * [misc]simplify: iters left: 5 (28 enodes) 1540196712.901 * * [misc]simplify: iters left: 4 (46 enodes) 1540196712.915 * * [misc]simplify: iters left: 3 (91 enodes) 1540196712.942 * * [misc]simplify: iters left: 2 (156 enodes) 1540196712.982 * * [misc]simplify: iters left: 1 (240 enodes) 1540196713.062 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196713.062 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196713.063 * * * * [misc]progress: [ 913 / 6870 ] simplifiying candidate # 1540196713.063 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196713.063 * * [misc]simplify: iters left: 6 (21 enodes) 1540196713.070 * * [misc]simplify: iters left: 5 (34 enodes) 1540196713.080 * * [misc]simplify: iters left: 4 (64 enodes) 1540196713.104 * * [misc]simplify: iters left: 3 (173 enodes) 1540196713.194 * * [misc]simplify: iters left: 2 (484 enodes) 1540196713.721 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196713.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196713.721 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196713.721 * * [misc]simplify: iters left: 6 (20 enodes) 1540196713.727 * * [misc]simplify: iters left: 5 (29 enodes) 1540196713.735 * * [misc]simplify: iters left: 4 (47 enodes) 1540196713.750 * * [misc]simplify: iters left: 3 (92 enodes) 1540196713.782 * * [misc]simplify: iters left: 2 (157 enodes) 1540196713.849 * * [misc]simplify: iters left: 1 (237 enodes) 1540196713.937 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196713.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196713.938 * * * * [misc]progress: [ 914 / 6870 ] simplifiying candidate # 1540196713.938 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196713.938 * * [misc]simplify: iters left: 6 (20 enodes) 1540196713.942 * * [misc]simplify: iters left: 5 (31 enodes) 1540196713.949 * * [misc]simplify: iters left: 4 (55 enodes) 1540196713.968 * * [misc]simplify: iters left: 3 (128 enodes) 1540196714.029 * * [misc]simplify: iters left: 2 (288 enodes) 1540196714.186 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196714.186 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196714.186 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196714.186 * * [misc]simplify: iters left: 6 (20 enodes) 1540196714.189 * * [misc]simplify: iters left: 5 (29 enodes) 1540196714.193 * * [misc]simplify: iters left: 4 (47 enodes) 1540196714.200 * * [misc]simplify: iters left: 3 (92 enodes) 1540196714.225 * * [misc]simplify: iters left: 2 (157 enodes) 1540196714.290 * * [misc]simplify: iters left: 1 (237 enodes) 1540196714.397 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196714.397 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196714.397 * * * * [misc]progress: [ 915 / 6870 ] simplifiying candidate # 1540196714.397 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196714.398 * * [misc]simplify: iters left: 6 (19 enodes) 1540196714.403 * * [misc]simplify: iters left: 5 (32 enodes) 1540196714.414 * * [misc]simplify: iters left: 4 (62 enodes) 1540196714.436 * * [misc]simplify: iters left: 3 (136 enodes) 1540196714.495 * * [misc]simplify: iters left: 2 (240 enodes) 1540196714.635 * * [misc]simplify: iters left: 1 (463 enodes) 1540196714.860 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196714.861 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196714.861 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196714.861 * * [misc]simplify: iters left: 6 (19 enodes) 1540196714.863 * * [misc]simplify: iters left: 5 (28 enodes) 1540196714.869 * * [misc]simplify: iters left: 4 (46 enodes) 1540196714.876 * * [misc]simplify: iters left: 3 (91 enodes) 1540196714.893 * * [misc]simplify: iters left: 2 (156 enodes) 1540196714.959 * * [misc]simplify: iters left: 1 (240 enodes) 1540196715.080 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540196715.080 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))))) 1540196715.080 * * * * [misc]progress: [ 916 / 6870 ] simplifiying candidate # 1540196715.081 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196715.081 * * [misc]simplify: iters left: 6 (21 enodes) 1540196715.088 * * [misc]simplify: iters left: 5 (35 enodes) 1540196715.093 * * [misc]simplify: iters left: 4 (62 enodes) 1540196715.106 * * [misc]simplify: iters left: 3 (168 enodes) 1540196715.173 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196715.174 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196715.174 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196715.174 * * [misc]simplify: iters left: 6 (19 enodes) 1540196715.178 * * [misc]simplify: iters left: 5 (28 enodes) 1540196715.185 * * [misc]simplify: iters left: 4 (47 enodes) 1540196715.199 * * [misc]simplify: iters left: 3 (95 enodes) 1540196715.228 * * [misc]simplify: iters left: 2 (182 enodes) 1540196715.270 * * [misc]simplify: iters left: 1 (319 enodes) 1540196715.423 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196715.423 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196715.423 * * * * [misc]progress: [ 917 / 6870 ] simplifiying candidate # 1540196715.423 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196715.423 * * [misc]simplify: iters left: 6 (21 enodes) 1540196715.428 * * [misc]simplify: iters left: 5 (35 enodes) 1540196715.433 * * [misc]simplify: iters left: 4 (62 enodes) 1540196715.451 * * [misc]simplify: iters left: 3 (168 enodes) 1540196715.539 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196715.539 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196715.540 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196715.540 * * [misc]simplify: iters left: 6 (19 enodes) 1540196715.542 * * [misc]simplify: iters left: 5 (28 enodes) 1540196715.547 * * [misc]simplify: iters left: 4 (47 enodes) 1540196715.554 * * [misc]simplify: iters left: 3 (95 enodes) 1540196715.583 * * [misc]simplify: iters left: 2 (182 enodes) 1540196715.625 * * [misc]simplify: iters left: 1 (319 enodes) 1540196715.737 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196715.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196715.737 * * * * [misc]progress: [ 918 / 6870 ] simplifiying candidate # 1540196715.738 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196715.738 * * [misc]simplify: iters left: 6 (23 enodes) 1540196715.746 * * [misc]simplify: iters left: 5 (38 enodes) 1540196715.757 * * [misc]simplify: iters left: 4 (72 enodes) 1540196715.786 * * [misc]simplify: iters left: 3 (225 enodes) 1540196715.966 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196715.966 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196715.967 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196715.967 * * [misc]simplify: iters left: 6 (20 enodes) 1540196715.970 * * [misc]simplify: iters left: 5 (29 enodes) 1540196715.974 * * [misc]simplify: iters left: 4 (48 enodes) 1540196715.983 * * [misc]simplify: iters left: 3 (96 enodes) 1540196716.001 * * [misc]simplify: iters left: 2 (183 enodes) 1540196716.082 * * [misc]simplify: iters left: 1 (326 enodes) 1540196716.303 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196716.303 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196716.303 * * * * [misc]progress: [ 919 / 6870 ] simplifiying candidate # 1540196716.304 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196716.304 * * [misc]simplify: iters left: 6 (22 enodes) 1540196716.311 * * [misc]simplify: iters left: 5 (35 enodes) 1540196716.321 * * [misc]simplify: iters left: 4 (62 enodes) 1540196716.344 * * [misc]simplify: iters left: 3 (168 enodes) 1540196716.432 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196716.432 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196716.432 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196716.432 * * [misc]simplify: iters left: 6 (20 enodes) 1540196716.436 * * [misc]simplify: iters left: 5 (29 enodes) 1540196716.441 * * [misc]simplify: iters left: 4 (48 enodes) 1540196716.448 * * [misc]simplify: iters left: 3 (96 enodes) 1540196716.465 * * [misc]simplify: iters left: 2 (183 enodes) 1540196716.530 * * [misc]simplify: iters left: 1 (326 enodes) 1540196716.668 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196716.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196716.668 * * * * [misc]progress: [ 920 / 6870 ] simplifiying candidate # 1540196716.668 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) 1)) 1540196716.669 * * [misc]simplify: iters left: 6 (20 enodes) 1540196716.673 * * [misc]simplify: iters left: 5 (33 enodes) 1540196716.682 * * [misc]simplify: iters left: 4 (47 enodes) 1540196716.696 * * [misc]simplify: iters left: 3 (86 enodes) 1540196716.726 * * [misc]simplify: iters left: 2 (197 enodes) 1540196716.854 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196716.854 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196716.855 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196716.855 * * [misc]simplify: iters left: 6 (19 enodes) 1540196716.857 * * [misc]simplify: iters left: 5 (28 enodes) 1540196716.863 * * [misc]simplify: iters left: 4 (47 enodes) 1540196716.870 * * [misc]simplify: iters left: 3 (95 enodes) 1540196716.887 * * [misc]simplify: iters left: 2 (182 enodes) 1540196716.935 * * [misc]simplify: iters left: 1 (319 enodes) 1540196717.120 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196717.120 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196717.120 * * * * [misc]progress: [ 921 / 6870 ] simplifiying candidate # 1540196717.120 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196717.120 * * [misc]simplify: iters left: 6 (19 enodes) 1540196717.127 * * [misc]simplify: iters left: 5 (31 enodes) 1540196717.140 * * [misc]simplify: iters left: 4 (55 enodes) 1540196717.160 * * [misc]simplify: iters left: 3 (128 enodes) 1540196717.219 * * [misc]simplify: iters left: 2 (287 enodes) 1540196717.398 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196717.398 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196717.398 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196717.398 * * [misc]simplify: iters left: 6 (19 enodes) 1540196717.404 * * [misc]simplify: iters left: 5 (28 enodes) 1540196717.412 * * [misc]simplify: iters left: 4 (46 enodes) 1540196717.427 * * [misc]simplify: iters left: 3 (91 enodes) 1540196717.446 * * [misc]simplify: iters left: 2 (156 enodes) 1540196717.488 * * [misc]simplify: iters left: 1 (240 enodes) 1540196717.555 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196717.555 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196717.556 * * * * [misc]progress: [ 922 / 6870 ] simplifiying candidate # 1540196717.556 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196717.556 * * [misc]simplify: iters left: 6 (19 enodes) 1540196717.560 * * [misc]simplify: iters left: 5 (31 enodes) 1540196717.565 * * [misc]simplify: iters left: 4 (55 enodes) 1540196717.576 * * [misc]simplify: iters left: 3 (128 enodes) 1540196717.639 * * [misc]simplify: iters left: 2 (287 enodes) 1540196717.774 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196717.774 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196717.774 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196717.775 * * [misc]simplify: iters left: 6 (19 enodes) 1540196717.777 * * [misc]simplify: iters left: 5 (28 enodes) 1540196717.783 * * [misc]simplify: iters left: 4 (46 enodes) 1540196717.793 * * [misc]simplify: iters left: 3 (91 enodes) 1540196717.820 * * [misc]simplify: iters left: 2 (156 enodes) 1540196717.858 * * [misc]simplify: iters left: 1 (240 enodes) 1540196717.947 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196717.947 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196717.947 * * * * [misc]progress: [ 923 / 6870 ] simplifiying candidate # 1540196717.947 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196717.947 * * [misc]simplify: iters left: 6 (21 enodes) 1540196717.954 * * [misc]simplify: iters left: 5 (34 enodes) 1540196717.964 * * [misc]simplify: iters left: 4 (64 enodes) 1540196717.990 * * [misc]simplify: iters left: 3 (173 enodes) 1540196718.060 * * [misc]simplify: iters left: 2 (484 enodes) 1540196718.546 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196718.546 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196718.547 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196718.547 * * [misc]simplify: iters left: 6 (20 enodes) 1540196718.553 * * [misc]simplify: iters left: 5 (29 enodes) 1540196718.561 * * [misc]simplify: iters left: 4 (47 enodes) 1540196718.571 * * [misc]simplify: iters left: 3 (92 enodes) 1540196718.590 * * [misc]simplify: iters left: 2 (157 enodes) 1540196718.649 * * [misc]simplify: iters left: 1 (237 enodes) 1540196718.727 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196718.727 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196718.727 * * * * [misc]progress: [ 924 / 6870 ] simplifiying candidate # 1540196718.727 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196718.727 * * [misc]simplify: iters left: 6 (20 enodes) 1540196718.730 * * [misc]simplify: iters left: 5 (31 enodes) 1540196718.735 * * [misc]simplify: iters left: 4 (55 enodes) 1540196718.744 * * [misc]simplify: iters left: 3 (128 enodes) 1540196718.794 * * [misc]simplify: iters left: 2 (288 enodes) 1540196718.967 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196718.967 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196718.968 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196718.968 * * [misc]simplify: iters left: 6 (20 enodes) 1540196718.973 * * [misc]simplify: iters left: 5 (29 enodes) 1540196718.982 * * [misc]simplify: iters left: 4 (47 enodes) 1540196718.996 * * [misc]simplify: iters left: 3 (92 enodes) 1540196719.029 * * [misc]simplify: iters left: 2 (157 enodes) 1540196719.089 * * [misc]simplify: iters left: 1 (237 enodes) 1540196719.179 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196719.179 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196719.179 * * * * [misc]progress: [ 925 / 6870 ] simplifiying candidate # 1540196719.179 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196719.180 * * [misc]simplify: iters left: 6 (19 enodes) 1540196719.185 * * [misc]simplify: iters left: 5 (32 enodes) 1540196719.196 * * [misc]simplify: iters left: 4 (62 enodes) 1540196719.218 * * [misc]simplify: iters left: 3 (136 enodes) 1540196719.251 * * [misc]simplify: iters left: 2 (240 enodes) 1540196719.374 * * [misc]simplify: iters left: 1 (463 enodes) 1540196719.617 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196719.617 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196719.617 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196719.617 * * [misc]simplify: iters left: 6 (19 enodes) 1540196719.620 * * [misc]simplify: iters left: 5 (28 enodes) 1540196719.624 * * [misc]simplify: iters left: 4 (46 enodes) 1540196719.638 * * [misc]simplify: iters left: 3 (91 enodes) 1540196719.673 * * [misc]simplify: iters left: 2 (156 enodes) 1540196719.739 * * [misc]simplify: iters left: 1 (240 enodes) 1540196719.810 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540196719.810 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))))) 1540196719.810 * * * * [misc]progress: [ 926 / 6870 ] simplifiying candidate # 1540196719.811 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196719.811 * * [misc]simplify: iters left: 6 (20 enodes) 1540196719.818 * * [misc]simplify: iters left: 5 (34 enodes) 1540196719.829 * * [misc]simplify: iters left: 4 (57 enodes) 1540196719.849 * * [misc]simplify: iters left: 3 (131 enodes) 1540196719.900 * * [misc]simplify: iters left: 2 (372 enodes) 1540196720.197 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196720.197 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196720.197 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196720.197 * * [misc]simplify: iters left: 6 (19 enodes) 1540196720.201 * * [misc]simplify: iters left: 5 (28 enodes) 1540196720.205 * * [misc]simplify: iters left: 4 (47 enodes) 1540196720.212 * * [misc]simplify: iters left: 3 (95 enodes) 1540196720.233 * * [misc]simplify: iters left: 2 (182 enodes) 1540196720.276 * * [misc]simplify: iters left: 1 (319 enodes) 1540196720.430 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196720.430 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196720.430 * * * * [misc]progress: [ 927 / 6870 ] simplifiying candidate # 1540196720.430 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196720.430 * * [misc]simplify: iters left: 6 (20 enodes) 1540196720.437 * * [misc]simplify: iters left: 5 (34 enodes) 1540196720.448 * * [misc]simplify: iters left: 4 (57 enodes) 1540196720.468 * * [misc]simplify: iters left: 3 (131 enodes) 1540196720.506 * * [misc]simplify: iters left: 2 (372 enodes) 1540196720.770 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196720.770 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196720.770 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196720.770 * * [misc]simplify: iters left: 6 (19 enodes) 1540196720.773 * * [misc]simplify: iters left: 5 (28 enodes) 1540196720.777 * * [misc]simplify: iters left: 4 (47 enodes) 1540196720.784 * * [misc]simplify: iters left: 3 (95 enodes) 1540196720.816 * * [misc]simplify: iters left: 2 (182 enodes) 1540196720.895 * * [misc]simplify: iters left: 1 (319 enodes) 1540196721.054 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196721.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196721.054 * * * * [misc]progress: [ 928 / 6870 ] simplifiying candidate # 1540196721.054 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196721.054 * * [misc]simplify: iters left: 6 (22 enodes) 1540196721.061 * * [misc]simplify: iters left: 5 (37 enodes) 1540196721.071 * * [misc]simplify: iters left: 4 (66 enodes) 1540196721.085 * * [misc]simplify: iters left: 3 (185 enodes) 1540196721.202 * [exit]simplify: Simplified to (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196721.202 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196721.202 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196721.203 * * [misc]simplify: iters left: 6 (20 enodes) 1540196721.208 * * [misc]simplify: iters left: 5 (29 enodes) 1540196721.217 * * [misc]simplify: iters left: 4 (48 enodes) 1540196721.231 * * [misc]simplify: iters left: 3 (96 enodes) 1540196721.259 * * [misc]simplify: iters left: 2 (183 enodes) 1540196721.320 * * [misc]simplify: iters left: 1 (326 enodes) 1540196721.510 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196721.510 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196721.510 * * * * [misc]progress: [ 929 / 6870 ] simplifiying candidate # 1540196721.510 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196721.511 * * [misc]simplify: iters left: 6 (21 enodes) 1540196721.517 * * [misc]simplify: iters left: 5 (34 enodes) 1540196721.527 * * [misc]simplify: iters left: 4 (57 enodes) 1540196721.545 * * [misc]simplify: iters left: 3 (131 enodes) 1540196721.591 * * [misc]simplify: iters left: 2 (371 enodes) 1540196721.878 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196721.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196721.878 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196721.879 * * [misc]simplify: iters left: 6 (20 enodes) 1540196721.885 * * [misc]simplify: iters left: 5 (29 enodes) 1540196721.893 * * [misc]simplify: iters left: 4 (48 enodes) 1540196721.911 * * [misc]simplify: iters left: 3 (96 enodes) 1540196721.946 * * [misc]simplify: iters left: 2 (183 enodes) 1540196722.028 * * [misc]simplify: iters left: 1 (326 enodes) 1540196722.242 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196722.242 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196722.242 * * * * [misc]progress: [ 930 / 6870 ] simplifiying candidate # 1540196722.242 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 1)) 1540196722.242 * * [misc]simplify: iters left: 6 (19 enodes) 1540196722.248 * * [misc]simplify: iters left: 5 (30 enodes) 1540196722.253 * * [misc]simplify: iters left: 4 (45 enodes) 1540196722.262 * * [misc]simplify: iters left: 3 (80 enodes) 1540196722.275 * * [misc]simplify: iters left: 2 (144 enodes) 1540196722.321 * * [misc]simplify: iters left: 1 (312 enodes) 1540196722.485 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196722.485 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196722.485 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196722.485 * * [misc]simplify: iters left: 6 (19 enodes) 1540196722.488 * * [misc]simplify: iters left: 5 (28 enodes) 1540196722.492 * * [misc]simplify: iters left: 4 (47 enodes) 1540196722.499 * * [misc]simplify: iters left: 3 (95 enodes) 1540196722.516 * * [misc]simplify: iters left: 2 (182 enodes) 1540196722.580 * * [misc]simplify: iters left: 1 (319 enodes) 1540196722.727 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196722.727 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196722.728 * * * * [misc]progress: [ 931 / 6870 ] simplifiying candidate # 1540196722.728 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1) 1540196722.728 * * [misc]simplify: iters left: 6 (18 enodes) 1540196722.733 * * [misc]simplify: iters left: 5 (29 enodes) 1540196722.741 * * [misc]simplify: iters left: 4 (48 enodes) 1540196722.757 * * [misc]simplify: iters left: 3 (89 enodes) 1540196722.786 * * [misc]simplify: iters left: 2 (162 enodes) 1540196722.834 * * [misc]simplify: iters left: 1 (329 enodes) 1540196722.988 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196722.988 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196722.989 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196722.989 * * [misc]simplify: iters left: 6 (19 enodes) 1540196722.991 * * [misc]simplify: iters left: 5 (28 enodes) 1540196722.995 * * [misc]simplify: iters left: 4 (47 enodes) 1540196723.002 * * [misc]simplify: iters left: 3 (95 enodes) 1540196723.036 * * [misc]simplify: iters left: 2 (182 enodes) 1540196723.078 * * [misc]simplify: iters left: 1 (319 enodes) 1540196723.220 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196723.220 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196723.220 * * * * [misc]progress: [ 932 / 6870 ] simplifiying candidate # 1540196723.221 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) 1540196723.221 * * [misc]simplify: iters left: 6 (17 enodes) 1540196723.226 * * [misc]simplify: iters left: 5 (26 enodes) 1540196723.233 * * [misc]simplify: iters left: 4 (43 enodes) 1540196723.244 * * [misc]simplify: iters left: 3 (77 enodes) 1540196723.257 * * [misc]simplify: iters left: 2 (129 enodes) 1540196723.283 * * [misc]simplify: iters left: 1 (202 enodes) 1540196723.375 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt PI))))) 1540196723.375 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt PI))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196723.376 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196723.376 * * [misc]simplify: iters left: 6 (20 enodes) 1540196723.382 * * [misc]simplify: iters left: 5 (31 enodes) 1540196723.392 * * [misc]simplify: iters left: 4 (48 enodes) 1540196723.408 * * [misc]simplify: iters left: 3 (100 enodes) 1540196723.443 * * [misc]simplify: iters left: 2 (208 enodes) 1540196723.544 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196723.544 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt PI))))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196723.544 * * * * [misc]progress: [ 933 / 6870 ] simplifiying candidate # 1540196723.544 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196723.545 * * [misc]simplify: iters left: 6 (19 enodes) 1540196723.548 * * [misc]simplify: iters left: 5 (31 enodes) 1540196723.553 * * [misc]simplify: iters left: 4 (56 enodes) 1540196723.562 * * [misc]simplify: iters left: 3 (132 enodes) 1540196723.597 * * [misc]simplify: iters left: 2 (314 enodes) 1540196723.760 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196723.760 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196723.760 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196723.760 * * [misc]simplify: iters left: 6 (18 enodes) 1540196723.766 * * [misc]simplify: iters left: 5 (25 enodes) 1540196723.773 * * [misc]simplify: iters left: 4 (36 enodes) 1540196723.779 * * [misc]simplify: iters left: 3 (51 enodes) 1540196723.785 * * [misc]simplify: iters left: 2 (68 enodes) 1540196723.794 * * [misc]simplify: iters left: 1 (85 enodes) 1540196723.806 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540196723.806 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (pow 2 (/ k 2)))))) 1540196723.806 * * * * [misc]progress: [ 934 / 6870 ] simplifiying candidate # 1540196723.807 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196723.807 * * [misc]simplify: iters left: 6 (20 enodes) 1540196723.810 * * [misc]simplify: iters left: 5 (29 enodes) 1540196723.813 * * [misc]simplify: iters left: 4 (50 enodes) 1540196723.825 * * [misc]simplify: iters left: 3 (85 enodes) 1540196723.852 * * [misc]simplify: iters left: 2 (132 enodes) 1540196723.892 * * [misc]simplify: iters left: 1 (199 enodes) 1540196723.946 * [exit]simplify: Simplified to (/ (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196723.946 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196723.946 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196723.946 * * [misc]simplify: iters left: 6 (20 enodes) 1540196723.949 * * [misc]simplify: iters left: 5 (27 enodes) 1540196723.953 * * [misc]simplify: iters left: 4 (38 enodes) 1540196723.958 * * [misc]simplify: iters left: 3 (53 enodes) 1540196723.964 * * [misc]simplify: iters left: 2 (70 enodes) 1540196723.980 * * [misc]simplify: iters left: 1 (87 enodes) 1540196724.002 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196724.002 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196724.002 * * * * [misc]progress: [ 935 / 6870 ] simplifiying candidate # 1540196724.002 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196724.002 * * [misc]simplify: iters left: 6 (19 enodes) 1540196724.005 * * [misc]simplify: iters left: 5 (26 enodes) 1540196724.008 * * [misc]simplify: iters left: 4 (39 enodes) 1540196724.014 * * [misc]simplify: iters left: 3 (54 enodes) 1540196724.021 * * [misc]simplify: iters left: 2 (71 enodes) 1540196724.034 * * [misc]simplify: iters left: 1 (88 enodes) 1540196724.057 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196724.057 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196724.057 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196724.057 * * [misc]simplify: iters left: 6 (20 enodes) 1540196724.060 * * [misc]simplify: iters left: 5 (27 enodes) 1540196724.063 * * [misc]simplify: iters left: 4 (38 enodes) 1540196724.068 * * [misc]simplify: iters left: 3 (53 enodes) 1540196724.075 * * [misc]simplify: iters left: 2 (70 enodes) 1540196724.084 * * [misc]simplify: iters left: 1 (87 enodes) 1540196724.102 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196724.102 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196724.102 * * * * [misc]progress: [ 936 / 6870 ] simplifiying candidate # 1540196724.102 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196724.102 * * [misc]simplify: iters left: 6 (20 enodes) 1540196724.109 * * [misc]simplify: iters left: 5 (32 enodes) 1540196724.119 * * [misc]simplify: iters left: 4 (63 enodes) 1540196724.135 * * [misc]simplify: iters left: 3 (165 enodes) 1540196724.210 * * [misc]simplify: iters left: 2 (420 enodes) 1540196724.534 * [exit]simplify: Simplified to (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196724.534 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196724.534 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196724.534 * * [misc]simplify: iters left: 6 (20 enodes) 1540196724.537 * * [misc]simplify: iters left: 5 (29 enodes) 1540196724.541 * * [misc]simplify: iters left: 4 (48 enodes) 1540196724.548 * * [misc]simplify: iters left: 3 (96 enodes) 1540196724.567 * * [misc]simplify: iters left: 2 (183 enodes) 1540196724.632 * * [misc]simplify: iters left: 1 (324 enodes) 1540196724.808 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196724.808 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196724.808 * * * * [misc]progress: [ 937 / 6870 ] simplifiying candidate # 1540196724.808 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196724.808 * * [misc]simplify: iters left: 6 (20 enodes) 1540196724.816 * * [misc]simplify: iters left: 5 (32 enodes) 1540196724.826 * * [misc]simplify: iters left: 4 (63 enodes) 1540196724.847 * * [misc]simplify: iters left: 3 (165 enodes) 1540196724.932 * * [misc]simplify: iters left: 2 (420 enodes) 1540196725.696 * [exit]simplify: Simplified to (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196725.696 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196725.696 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196725.696 * * [misc]simplify: iters left: 6 (20 enodes) 1540196725.699 * * [misc]simplify: iters left: 5 (29 enodes) 1540196725.703 * * [misc]simplify: iters left: 4 (48 enodes) 1540196725.716 * * [misc]simplify: iters left: 3 (96 enodes) 1540196725.740 * * [misc]simplify: iters left: 2 (183 enodes) 1540196725.800 * * [misc]simplify: iters left: 1 (324 enodes) 1540196725.967 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196725.967 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196725.968 * * * * [misc]progress: [ 938 / 6870 ] simplifiying candidate # 1540196725.968 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196725.968 * * [misc]simplify: iters left: 6 (22 enodes) 1540196725.975 * * [misc]simplify: iters left: 5 (37 enodes) 1540196725.987 * * [misc]simplify: iters left: 4 (88 enodes) 1540196726.006 * * [misc]simplify: iters left: 3 (266 enodes) 1540196726.166 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196726.166 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196726.166 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196726.166 * * [misc]simplify: iters left: 6 (21 enodes) 1540196726.173 * * [misc]simplify: iters left: 5 (30 enodes) 1540196726.182 * * [misc]simplify: iters left: 4 (49 enodes) 1540196726.190 * * [misc]simplify: iters left: 3 (97 enodes) 1540196726.208 * * [misc]simplify: iters left: 2 (184 enodes) 1540196726.251 * * [misc]simplify: iters left: 1 (323 enodes) 1540196726.447 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196726.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196726.447 * * * * [misc]progress: [ 939 / 6870 ] simplifiying candidate # 1540196726.447 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196726.448 * * [misc]simplify: iters left: 6 (21 enodes) 1540196726.454 * * [misc]simplify: iters left: 5 (32 enodes) 1540196726.459 * * [misc]simplify: iters left: 4 (63 enodes) 1540196726.471 * * [misc]simplify: iters left: 3 (165 enodes) 1540196726.545 * * [misc]simplify: iters left: 2 (422 enodes) 1540196726.871 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1540196726.871 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196726.871 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196726.871 * * [misc]simplify: iters left: 6 (21 enodes) 1540196726.874 * * [misc]simplify: iters left: 5 (30 enodes) 1540196726.878 * * [misc]simplify: iters left: 4 (49 enodes) 1540196726.886 * * [misc]simplify: iters left: 3 (97 enodes) 1540196726.905 * * [misc]simplify: iters left: 2 (184 enodes) 1540196726.971 * * [misc]simplify: iters left: 1 (323 enodes) 1540196727.091 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196727.091 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196727.091 * * * * [misc]progress: [ 940 / 6870 ] simplifiying candidate # 1540196727.091 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196727.091 * * [misc]simplify: iters left: 6 (20 enodes) 1540196727.094 * * [misc]simplify: iters left: 5 (33 enodes) 1540196727.100 * * [misc]simplify: iters left: 4 (64 enodes) 1540196727.111 * * [misc]simplify: iters left: 3 (161 enodes) 1540196727.215 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1540196727.215 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196727.215 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196727.215 * * [misc]simplify: iters left: 6 (20 enodes) 1540196727.221 * * [misc]simplify: iters left: 5 (29 enodes) 1540196727.230 * * [misc]simplify: iters left: 4 (48 enodes) 1540196727.243 * * [misc]simplify: iters left: 3 (96 enodes) 1540196727.261 * * [misc]simplify: iters left: 2 (183 enodes) 1540196727.303 * * [misc]simplify: iters left: 1 (324 enodes) 1540196727.488 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196727.488 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196727.488 * * * * [misc]progress: [ 941 / 6870 ] simplifiying candidate # 1540196727.489 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196727.489 * * [misc]simplify: iters left: 6 (21 enodes) 1540196727.496 * * [misc]simplify: iters left: 5 (32 enodes) 1540196727.508 * * [misc]simplify: iters left: 4 (53 enodes) 1540196727.525 * * [misc]simplify: iters left: 3 (101 enodes) 1540196727.557 * * [misc]simplify: iters left: 2 (188 enodes) 1540196727.610 * * [misc]simplify: iters left: 1 (329 enodes) 1540196727.772 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) 1540196727.773 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196727.773 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196727.773 * * [misc]simplify: iters left: 6 (21 enodes) 1540196727.776 * * [misc]simplify: iters left: 5 (30 enodes) 1540196727.783 * * [misc]simplify: iters left: 4 (49 enodes) 1540196727.797 * * [misc]simplify: iters left: 3 (97 enodes) 1540196727.814 * * [misc]simplify: iters left: 2 (184 enodes) 1540196727.868 * * [misc]simplify: iters left: 1 (323 enodes) 1540196728.009 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196728.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196728.009 * * * * [misc]progress: [ 942 / 6870 ] simplifiying candidate # 1540196728.009 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196728.009 * * [misc]simplify: iters left: 6 (21 enodes) 1540196728.018 * * [misc]simplify: iters left: 5 (32 enodes) 1540196728.028 * * [misc]simplify: iters left: 4 (53 enodes) 1540196728.044 * * [misc]simplify: iters left: 3 (101 enodes) 1540196728.081 * * [misc]simplify: iters left: 2 (188 enodes) 1540196728.131 * * [misc]simplify: iters left: 1 (329 enodes) 1540196728.265 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) 1540196728.265 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196728.265 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196728.266 * * [misc]simplify: iters left: 6 (21 enodes) 1540196728.268 * * [misc]simplify: iters left: 5 (30 enodes) 1540196728.273 * * [misc]simplify: iters left: 4 (49 enodes) 1540196728.280 * * [misc]simplify: iters left: 3 (97 enodes) 1540196728.307 * * [misc]simplify: iters left: 2 (184 enodes) 1540196728.363 * * [misc]simplify: iters left: 1 (323 enodes) 1540196728.555 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196728.555 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196728.556 * * * * [misc]progress: [ 943 / 6870 ] simplifiying candidate # 1540196728.556 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196728.556 * * [misc]simplify: iters left: 6 (23 enodes) 1540196728.563 * * [misc]simplify: iters left: 5 (35 enodes) 1540196728.573 * * [misc]simplify: iters left: 4 (62 enodes) 1540196728.594 * * [misc]simplify: iters left: 3 (141 enodes) 1540196728.662 * * [misc]simplify: iters left: 2 (337 enodes) 1540196728.916 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196728.916 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196728.916 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196728.916 * * [misc]simplify: iters left: 6 (22 enodes) 1540196728.922 * * [misc]simplify: iters left: 5 (31 enodes) 1540196728.931 * * [misc]simplify: iters left: 4 (50 enodes) 1540196728.946 * * [misc]simplify: iters left: 3 (98 enodes) 1540196728.986 * * [misc]simplify: iters left: 2 (185 enodes) 1540196729.050 * * [misc]simplify: iters left: 1 (321 enodes) 1540196729.187 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196729.187 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196729.188 * * * * [misc]progress: [ 944 / 6870 ] simplifiying candidate # 1540196729.188 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196729.188 * * [misc]simplify: iters left: 6 (22 enodes) 1540196729.193 * * [misc]simplify: iters left: 5 (32 enodes) 1540196729.197 * * [misc]simplify: iters left: 4 (53 enodes) 1540196729.205 * * [misc]simplify: iters left: 3 (101 enodes) 1540196729.223 * * [misc]simplify: iters left: 2 (188 enodes) 1540196729.266 * * [misc]simplify: iters left: 1 (330 enodes) 1540196729.420 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196729.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196729.420 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196729.420 * * [misc]simplify: iters left: 6 (22 enodes) 1540196729.423 * * [misc]simplify: iters left: 5 (31 enodes) 1540196729.427 * * [misc]simplify: iters left: 4 (50 enodes) 1540196729.435 * * [misc]simplify: iters left: 3 (98 enodes) 1540196729.453 * * [misc]simplify: iters left: 2 (185 enodes) 1540196729.500 * * [misc]simplify: iters left: 1 (321 enodes) 1540196729.652 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196729.652 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196729.652 * * * * [misc]progress: [ 945 / 6870 ] simplifiying candidate # 1540196729.652 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196729.652 * * [misc]simplify: iters left: 6 (21 enodes) 1540196729.655 * * [misc]simplify: iters left: 5 (32 enodes) 1540196729.660 * * [misc]simplify: iters left: 4 (50 enodes) 1540196729.667 * * [misc]simplify: iters left: 3 (84 enodes) 1540196729.687 * * [misc]simplify: iters left: 2 (177 enodes) 1540196729.764 * * [misc]simplify: iters left: 1 (384 enodes) 1540196730.110 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540196730.110 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196730.110 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196730.110 * * [misc]simplify: iters left: 6 (21 enodes) 1540196730.113 * * [misc]simplify: iters left: 5 (30 enodes) 1540196730.119 * * [misc]simplify: iters left: 4 (49 enodes) 1540196730.127 * * [misc]simplify: iters left: 3 (97 enodes) 1540196730.150 * * [misc]simplify: iters left: 2 (184 enodes) 1540196730.212 * * [misc]simplify: iters left: 1 (323 enodes) 1540196730.381 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196730.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196730.381 * * * * [misc]progress: [ 946 / 6870 ] simplifiying candidate # 1540196730.381 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196730.381 * * [misc]simplify: iters left: 6 (18 enodes) 1540196730.385 * * [misc]simplify: iters left: 5 (28 enodes) 1540196730.390 * * [misc]simplify: iters left: 4 (48 enodes) 1540196730.399 * * [misc]simplify: iters left: 3 (93 enodes) 1540196730.417 * * [misc]simplify: iters left: 2 (158 enodes) 1540196730.468 * * [misc]simplify: iters left: 1 (243 enodes) 1540196730.544 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196730.544 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196730.544 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196730.544 * * [misc]simplify: iters left: 6 (19 enodes) 1540196730.547 * * [misc]simplify: iters left: 5 (28 enodes) 1540196730.551 * * [misc]simplify: iters left: 4 (46 enodes) 1540196730.559 * * [misc]simplify: iters left: 3 (91 enodes) 1540196730.587 * * [misc]simplify: iters left: 2 (156 enodes) 1540196730.624 * * [misc]simplify: iters left: 1 (240 enodes) 1540196730.708 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196730.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196730.708 * * * * [misc]progress: [ 947 / 6870 ] simplifiying candidate # 1540196730.708 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196730.709 * * [misc]simplify: iters left: 6 (18 enodes) 1540196730.715 * * [misc]simplify: iters left: 5 (28 enodes) 1540196730.724 * * [misc]simplify: iters left: 4 (48 enodes) 1540196730.734 * * [misc]simplify: iters left: 3 (93 enodes) 1540196730.753 * * [misc]simplify: iters left: 2 (158 enodes) 1540196730.790 * * [misc]simplify: iters left: 1 (243 enodes) 1540196730.855 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196730.855 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196730.856 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196730.856 * * [misc]simplify: iters left: 6 (19 enodes) 1540196730.858 * * [misc]simplify: iters left: 5 (28 enodes) 1540196730.862 * * [misc]simplify: iters left: 4 (46 enodes) 1540196730.870 * * [misc]simplify: iters left: 3 (91 enodes) 1540196730.893 * * [misc]simplify: iters left: 2 (156 enodes) 1540196730.940 * * [misc]simplify: iters left: 1 (240 enodes) 1540196731.054 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196731.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196731.054 * * * * [misc]progress: [ 948 / 6870 ] simplifiying candidate # 1540196731.055 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196731.055 * * [misc]simplify: iters left: 6 (20 enodes) 1540196731.061 * * [misc]simplify: iters left: 5 (31 enodes) 1540196731.070 * * [misc]simplify: iters left: 4 (57 enodes) 1540196731.084 * * [misc]simplify: iters left: 3 (133 enodes) 1540196731.118 * * [misc]simplify: iters left: 2 (298 enodes) 1540196731.331 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196731.331 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196731.331 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196731.331 * * [misc]simplify: iters left: 6 (20 enodes) 1540196731.334 * * [misc]simplify: iters left: 5 (29 enodes) 1540196731.338 * * [misc]simplify: iters left: 4 (47 enodes) 1540196731.345 * * [misc]simplify: iters left: 3 (92 enodes) 1540196731.361 * * [misc]simplify: iters left: 2 (157 enodes) 1540196731.407 * * [misc]simplify: iters left: 1 (237 enodes) 1540196731.474 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196731.474 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196731.475 * * * * [misc]progress: [ 949 / 6870 ] simplifiying candidate # 1540196731.475 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196731.475 * * [misc]simplify: iters left: 6 (19 enodes) 1540196731.477 * * [misc]simplify: iters left: 5 (28 enodes) 1540196731.481 * * [misc]simplify: iters left: 4 (48 enodes) 1540196731.489 * * [misc]simplify: iters left: 3 (93 enodes) 1540196731.505 * * [misc]simplify: iters left: 2 (158 enodes) 1540196731.539 * * [misc]simplify: iters left: 1 (238 enodes) 1540196731.595 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196731.595 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196731.596 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196731.596 * * [misc]simplify: iters left: 6 (20 enodes) 1540196731.599 * * [misc]simplify: iters left: 5 (29 enodes) 1540196731.603 * * [misc]simplify: iters left: 4 (47 enodes) 1540196731.610 * * [misc]simplify: iters left: 3 (92 enodes) 1540196731.626 * * [misc]simplify: iters left: 2 (157 enodes) 1540196731.660 * * [misc]simplify: iters left: 1 (237 enodes) 1540196731.763 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196731.763 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196731.763 * * * * [misc]progress: [ 950 / 6870 ] simplifiying candidate # 1540196731.763 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196731.764 * * [misc]simplify: iters left: 6 (18 enodes) 1540196731.769 * * [misc]simplify: iters left: 5 (29 enodes) 1540196731.775 * * [misc]simplify: iters left: 4 (53 enodes) 1540196731.783 * * [misc]simplify: iters left: 3 (93 enodes) 1540196731.799 * * [misc]simplify: iters left: 2 (132 enodes) 1540196731.829 * * [misc]simplify: iters left: 1 (205 enodes) 1540196731.915 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540196731.916 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196731.916 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196731.916 * * [misc]simplify: iters left: 6 (19 enodes) 1540196731.921 * * [misc]simplify: iters left: 5 (28 enodes) 1540196731.930 * * [misc]simplify: iters left: 4 (46 enodes) 1540196731.944 * * [misc]simplify: iters left: 3 (91 enodes) 1540196731.973 * * [misc]simplify: iters left: 2 (156 enodes) 1540196732.019 * * [misc]simplify: iters left: 1 (240 enodes) 1540196732.137 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540196732.137 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))))) 1540196732.137 * * * * [misc]progress: [ 951 / 6870 ] simplifiying candidate # 1540196732.137 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196732.137 * * [misc]simplify: iters left: 6 (20 enodes) 1540196732.145 * * [misc]simplify: iters left: 5 (32 enodes) 1540196732.155 * * [misc]simplify: iters left: 4 (55 enodes) 1540196732.175 * * [misc]simplify: iters left: 3 (122 enodes) 1540196732.218 * * [misc]simplify: iters left: 2 (285 enodes) 1540196732.359 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) 1540196732.359 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196732.359 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196732.359 * * [misc]simplify: iters left: 6 (19 enodes) 1540196732.362 * * [misc]simplify: iters left: 5 (28 enodes) 1540196732.366 * * [misc]simplify: iters left: 4 (47 enodes) 1540196732.375 * * [misc]simplify: iters left: 3 (95 enodes) 1540196732.397 * * [misc]simplify: iters left: 2 (182 enodes) 1540196732.477 * * [misc]simplify: iters left: 1 (319 enodes) 1540196732.622 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196732.622 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196732.622 * * * * [misc]progress: [ 952 / 6870 ] simplifiying candidate # 1540196732.623 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196732.623 * * [misc]simplify: iters left: 6 (20 enodes) 1540196732.626 * * [misc]simplify: iters left: 5 (32 enodes) 1540196732.635 * * [misc]simplify: iters left: 4 (55 enodes) 1540196732.646 * * [misc]simplify: iters left: 3 (122 enodes) 1540196732.682 * * [misc]simplify: iters left: 2 (285 enodes) 1540196732.842 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) 1540196732.842 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196732.842 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196732.842 * * [misc]simplify: iters left: 6 (19 enodes) 1540196732.848 * * [misc]simplify: iters left: 5 (28 enodes) 1540196732.856 * * [misc]simplify: iters left: 4 (47 enodes) 1540196732.870 * * [misc]simplify: iters left: 3 (95 enodes) 1540196732.893 * * [misc]simplify: iters left: 2 (182 enodes) 1540196732.949 * * [misc]simplify: iters left: 1 (319 enodes) 1540196733.073 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196733.073 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196733.073 * * * * [misc]progress: [ 953 / 6870 ] simplifiying candidate # 1540196733.073 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196733.074 * * [misc]simplify: iters left: 6 (22 enodes) 1540196733.081 * * [misc]simplify: iters left: 5 (35 enodes) 1540196733.086 * * [misc]simplify: iters left: 4 (65 enodes) 1540196733.098 * * [misc]simplify: iters left: 3 (170 enodes) 1540196733.147 * * [misc]simplify: iters left: 2 (454 enodes) 1540196733.514 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540196733.514 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196733.514 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196733.514 * * [misc]simplify: iters left: 6 (20 enodes) 1540196733.517 * * [misc]simplify: iters left: 5 (29 enodes) 1540196733.521 * * [misc]simplify: iters left: 4 (48 enodes) 1540196733.528 * * [misc]simplify: iters left: 3 (96 enodes) 1540196733.559 * * [misc]simplify: iters left: 2 (183 enodes) 1540196733.634 * * [misc]simplify: iters left: 1 (326 enodes) 1540196733.770 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196733.770 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196733.770 * * * * [misc]progress: [ 954 / 6870 ] simplifiying candidate # 1540196733.770 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196733.771 * * [misc]simplify: iters left: 6 (21 enodes) 1540196733.777 * * [misc]simplify: iters left: 5 (32 enodes) 1540196733.785 * * [misc]simplify: iters left: 4 (55 enodes) 1540196733.794 * * [misc]simplify: iters left: 3 (122 enodes) 1540196733.826 * * [misc]simplify: iters left: 2 (279 enodes) 1540196733.978 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196733.978 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196733.978 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196733.978 * * [misc]simplify: iters left: 6 (20 enodes) 1540196733.981 * * [misc]simplify: iters left: 5 (29 enodes) 1540196733.985 * * [misc]simplify: iters left: 4 (48 enodes) 1540196733.998 * * [misc]simplify: iters left: 3 (96 enodes) 1540196734.038 * * [misc]simplify: iters left: 2 (183 enodes) 1540196734.090 * * [misc]simplify: iters left: 1 (326 enodes) 1540196734.309 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196734.309 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196734.309 * * * * [misc]progress: [ 955 / 6870 ] simplifiying candidate # 1540196734.309 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540196734.309 * * [misc]simplify: iters left: 6 (19 enodes) 1540196734.316 * * [misc]simplify: iters left: 5 (30 enodes) 1540196734.321 * * [misc]simplify: iters left: 4 (41 enodes) 1540196734.327 * * [misc]simplify: iters left: 3 (63 enodes) 1540196734.335 * * [misc]simplify: iters left: 2 (100 enodes) 1540196734.363 * * [misc]simplify: iters left: 1 (210 enodes) 1540196734.474 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196734.474 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196734.475 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196734.475 * * [misc]simplify: iters left: 6 (19 enodes) 1540196734.480 * * [misc]simplify: iters left: 5 (28 enodes) 1540196734.488 * * [misc]simplify: iters left: 4 (47 enodes) 1540196734.502 * * [misc]simplify: iters left: 3 (95 enodes) 1540196734.534 * * [misc]simplify: iters left: 2 (182 enodes) 1540196734.581 * * [misc]simplify: iters left: 1 (319 enodes) 1540196734.774 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196734.774 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196734.775 * * * * [misc]progress: [ 956 / 6870 ] simplifiying candidate # 1540196734.775 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196734.775 * * [misc]simplify: iters left: 6 (18 enodes) 1540196734.781 * * [misc]simplify: iters left: 5 (28 enodes) 1540196734.790 * * [misc]simplify: iters left: 4 (48 enodes) 1540196734.804 * * [misc]simplify: iters left: 3 (93 enodes) 1540196734.823 * * [misc]simplify: iters left: 2 (158 enodes) 1540196734.866 * * [misc]simplify: iters left: 1 (243 enodes) 1540196734.982 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196734.982 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196734.982 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196734.982 * * [misc]simplify: iters left: 6 (19 enodes) 1540196734.988 * * [misc]simplify: iters left: 5 (28 enodes) 1540196734.996 * * [misc]simplify: iters left: 4 (46 enodes) 1540196735.010 * * [misc]simplify: iters left: 3 (91 enodes) 1540196735.045 * * [misc]simplify: iters left: 2 (156 enodes) 1540196735.110 * * [misc]simplify: iters left: 1 (240 enodes) 1540196735.218 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196735.218 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196735.218 * * * * [misc]progress: [ 957 / 6870 ] simplifiying candidate # 1540196735.218 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196735.218 * * [misc]simplify: iters left: 6 (18 enodes) 1540196735.221 * * [misc]simplify: iters left: 5 (28 enodes) 1540196735.226 * * [misc]simplify: iters left: 4 (48 enodes) 1540196735.234 * * [misc]simplify: iters left: 3 (93 enodes) 1540196735.253 * * [misc]simplify: iters left: 2 (158 enodes) 1540196735.301 * * [misc]simplify: iters left: 1 (243 enodes) 1540196735.408 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196735.408 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196735.408 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196735.408 * * [misc]simplify: iters left: 6 (19 enodes) 1540196735.414 * * [misc]simplify: iters left: 5 (28 enodes) 1540196735.422 * * [misc]simplify: iters left: 4 (46 enodes) 1540196735.437 * * [misc]simplify: iters left: 3 (91 enodes) 1540196735.471 * * [misc]simplify: iters left: 2 (156 enodes) 1540196735.519 * * [misc]simplify: iters left: 1 (240 enodes) 1540196735.599 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196735.599 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196735.600 * * * * [misc]progress: [ 958 / 6870 ] simplifiying candidate # 1540196735.600 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196735.600 * * [misc]simplify: iters left: 6 (20 enodes) 1540196735.606 * * [misc]simplify: iters left: 5 (31 enodes) 1540196735.616 * * [misc]simplify: iters left: 4 (57 enodes) 1540196735.630 * * [misc]simplify: iters left: 3 (133 enodes) 1540196735.679 * * [misc]simplify: iters left: 2 (298 enodes) 1540196735.917 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196735.917 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196735.917 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196735.917 * * [misc]simplify: iters left: 6 (20 enodes) 1540196735.923 * * [misc]simplify: iters left: 5 (29 enodes) 1540196735.931 * * [misc]simplify: iters left: 4 (47 enodes) 1540196735.946 * * [misc]simplify: iters left: 3 (92 enodes) 1540196735.963 * * [misc]simplify: iters left: 2 (157 enodes) 1540196736.011 * * [misc]simplify: iters left: 1 (237 enodes) 1540196736.101 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196736.101 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196736.101 * * * * [misc]progress: [ 959 / 6870 ] simplifiying candidate # 1540196736.102 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196736.102 * * [misc]simplify: iters left: 6 (19 enodes) 1540196736.108 * * [misc]simplify: iters left: 5 (28 enodes) 1540196736.116 * * [misc]simplify: iters left: 4 (48 enodes) 1540196736.125 * * [misc]simplify: iters left: 3 (93 enodes) 1540196736.141 * * [misc]simplify: iters left: 2 (158 enodes) 1540196736.174 * * [misc]simplify: iters left: 1 (238 enodes) 1540196736.243 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196736.243 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196736.244 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196736.244 * * [misc]simplify: iters left: 6 (20 enodes) 1540196736.247 * * [misc]simplify: iters left: 5 (29 enodes) 1540196736.254 * * [misc]simplify: iters left: 4 (47 enodes) 1540196736.270 * * [misc]simplify: iters left: 3 (92 enodes) 1540196736.302 * * [misc]simplify: iters left: 2 (157 enodes) 1540196736.341 * * [misc]simplify: iters left: 1 (237 enodes) 1540196736.440 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196736.440 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196736.440 * * * * [misc]progress: [ 960 / 6870 ] simplifiying candidate # 1540196736.440 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196736.441 * * [misc]simplify: iters left: 6 (18 enodes) 1540196736.446 * * [misc]simplify: iters left: 5 (29 enodes) 1540196736.456 * * [misc]simplify: iters left: 4 (53 enodes) 1540196736.472 * * [misc]simplify: iters left: 3 (93 enodes) 1540196736.501 * * [misc]simplify: iters left: 2 (132 enodes) 1540196736.527 * * [misc]simplify: iters left: 1 (205 enodes) 1540196736.606 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540196736.607 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196736.607 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196736.607 * * [misc]simplify: iters left: 6 (19 enodes) 1540196736.609 * * [misc]simplify: iters left: 5 (28 enodes) 1540196736.613 * * [misc]simplify: iters left: 4 (46 enodes) 1540196736.620 * * [misc]simplify: iters left: 3 (91 enodes) 1540196736.636 * * [misc]simplify: iters left: 2 (156 enodes) 1540196736.677 * * [misc]simplify: iters left: 1 (240 enodes) 1540196736.798 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540196736.798 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))))) 1540196736.798 * * * * [misc]progress: [ 961 / 6870 ] simplifiying candidate # 1540196736.798 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196736.799 * * [misc]simplify: iters left: 6 (19 enodes) 1540196736.805 * * [misc]simplify: iters left: 5 (31 enodes) 1540196736.815 * * [misc]simplify: iters left: 4 (50 enodes) 1540196736.829 * * [misc]simplify: iters left: 3 (102 enodes) 1540196736.848 * * [misc]simplify: iters left: 2 (206 enodes) 1540196736.922 * * [misc]simplify: iters left: 1 (471 enodes) 1540196737.411 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) 1540196737.411 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196737.412 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196737.412 * * [misc]simplify: iters left: 6 (19 enodes) 1540196737.417 * * [misc]simplify: iters left: 5 (28 enodes) 1540196737.426 * * [misc]simplify: iters left: 4 (47 enodes) 1540196737.436 * * [misc]simplify: iters left: 3 (95 enodes) 1540196737.453 * * [misc]simplify: iters left: 2 (182 enodes) 1540196737.525 * * [misc]simplify: iters left: 1 (319 enodes) 1540196737.696 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196737.696 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196737.696 * * * * [misc]progress: [ 962 / 6870 ] simplifiying candidate # 1540196737.697 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196737.697 * * [misc]simplify: iters left: 6 (19 enodes) 1540196737.702 * * [misc]simplify: iters left: 5 (31 enodes) 1540196737.707 * * [misc]simplify: iters left: 4 (50 enodes) 1540196737.715 * * [misc]simplify: iters left: 3 (102 enodes) 1540196737.738 * * [misc]simplify: iters left: 2 (206 enodes) 1540196737.821 * * [misc]simplify: iters left: 1 (471 enodes) 1540196738.297 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) 1540196738.297 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196738.297 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196738.297 * * [misc]simplify: iters left: 6 (19 enodes) 1540196738.300 * * [misc]simplify: iters left: 5 (28 enodes) 1540196738.305 * * [misc]simplify: iters left: 4 (47 enodes) 1540196738.319 * * [misc]simplify: iters left: 3 (95 enodes) 1540196738.357 * * [misc]simplify: iters left: 2 (182 enodes) 1540196738.411 * * [misc]simplify: iters left: 1 (319 enodes) 1540196738.539 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196738.539 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196738.539 * * * * [misc]progress: [ 963 / 6870 ] simplifiying candidate # 1540196738.539 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196738.539 * * [misc]simplify: iters left: 6 (21 enodes) 1540196738.542 * * [misc]simplify: iters left: 5 (34 enodes) 1540196738.547 * * [misc]simplify: iters left: 4 (59 enodes) 1540196738.558 * * [misc]simplify: iters left: 3 (153 enodes) 1540196738.627 * * [misc]simplify: iters left: 2 (399 enodes) 1540196738.865 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196738.865 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196738.865 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196738.865 * * [misc]simplify: iters left: 6 (20 enodes) 1540196738.868 * * [misc]simplify: iters left: 5 (29 enodes) 1540196738.873 * * [misc]simplify: iters left: 4 (48 enodes) 1540196738.889 * * [misc]simplify: iters left: 3 (96 enodes) 1540196738.925 * * [misc]simplify: iters left: 2 (183 enodes) 1540196738.976 * * [misc]simplify: iters left: 1 (326 enodes) 1540196739.143 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196739.143 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196739.143 * * * * [misc]progress: [ 964 / 6870 ] simplifiying candidate # 1540196739.144 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196739.144 * * [misc]simplify: iters left: 6 (20 enodes) 1540196739.150 * * [misc]simplify: iters left: 5 (31 enodes) 1540196739.159 * * [misc]simplify: iters left: 4 (50 enodes) 1540196739.167 * * [misc]simplify: iters left: 3 (102 enodes) 1540196739.185 * * [misc]simplify: iters left: 2 (206 enodes) 1540196739.242 * * [misc]simplify: iters left: 1 (486 enodes) 1540196739.913 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196739.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196739.913 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196739.913 * * [misc]simplify: iters left: 6 (20 enodes) 1540196739.916 * * [misc]simplify: iters left: 5 (29 enodes) 1540196739.920 * * [misc]simplify: iters left: 4 (48 enodes) 1540196739.928 * * [misc]simplify: iters left: 3 (96 enodes) 1540196739.959 * * [misc]simplify: iters left: 2 (183 enodes) 1540196740.009 * * [misc]simplify: iters left: 1 (326 enodes) 1540196740.171 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196740.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196740.171 * * * * [misc]progress: [ 965 / 6870 ] simplifiying candidate # 1540196740.171 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540196740.172 * * [misc]simplify: iters left: 6 (18 enodes) 1540196740.174 * * [misc]simplify: iters left: 5 (27 enodes) 1540196740.177 * * [misc]simplify: iters left: 4 (38 enodes) 1540196740.186 * * [misc]simplify: iters left: 3 (53 enodes) 1540196740.199 * * [misc]simplify: iters left: 2 (76 enodes) 1540196740.222 * * [misc]simplify: iters left: 1 (105 enodes) 1540196740.256 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196740.256 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196740.257 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196740.257 * * [misc]simplify: iters left: 6 (19 enodes) 1540196740.263 * * [misc]simplify: iters left: 5 (28 enodes) 1540196740.271 * * [misc]simplify: iters left: 4 (47 enodes) 1540196740.283 * * [misc]simplify: iters left: 3 (95 enodes) 1540196740.301 * * [misc]simplify: iters left: 2 (182 enodes) 1540196740.376 * * [misc]simplify: iters left: 1 (319 enodes) 1540196740.512 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196740.512 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196740.512 * * * * [misc]progress: [ 966 / 6870 ] simplifiying candidate # 1540196740.512 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540196740.513 * * [misc]simplify: iters left: 6 (17 enodes) 1540196740.518 * * [misc]simplify: iters left: 5 (26 enodes) 1540196740.525 * * [misc]simplify: iters left: 4 (39 enodes) 1540196740.537 * * [misc]simplify: iters left: 3 (58 enodes) 1540196740.552 * * [misc]simplify: iters left: 2 (84 enodes) 1540196740.575 * * [misc]simplify: iters left: 1 (109 enodes) 1540196740.595 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196740.595 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196740.595 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196740.595 * * [misc]simplify: iters left: 6 (19 enodes) 1540196740.598 * * [misc]simplify: iters left: 5 (28 enodes) 1540196740.603 * * [misc]simplify: iters left: 4 (47 enodes) 1540196740.611 * * [misc]simplify: iters left: 3 (95 enodes) 1540196740.638 * * [misc]simplify: iters left: 2 (182 enodes) 1540196740.701 * * [misc]simplify: iters left: 1 (319 enodes) 1540196740.864 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196740.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196740.864 * * * * [misc]progress: [ 967 / 6870 ] simplifiying candidate # 1540196740.865 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540196740.865 * * [misc]simplify: iters left: 6 (16 enodes) 1540196740.867 * * [misc]simplify: iters left: 5 (23 enodes) 1540196740.870 * * [misc]simplify: iters left: 4 (36 enodes) 1540196740.876 * * [misc]simplify: iters left: 3 (51 enodes) 1540196740.883 * * [misc]simplify: iters left: 2 (68 enodes) 1540196740.892 * * [misc]simplify: iters left: 1 (85 enodes) 1540196740.904 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196740.904 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196740.904 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196740.904 * * [misc]simplify: iters left: 6 (20 enodes) 1540196740.907 * * [misc]simplify: iters left: 5 (31 enodes) 1540196740.912 * * [misc]simplify: iters left: 4 (48 enodes) 1540196740.920 * * [misc]simplify: iters left: 3 (100 enodes) 1540196740.938 * * [misc]simplify: iters left: 2 (208 enodes) 1540196741.061 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196741.062 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196741.062 * * * * [misc]progress: [ 968 / 6870 ] simplifiying candidate # 1540196741.062 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196741.062 * * [misc]simplify: iters left: 6 (18 enodes) 1540196741.071 * * [misc]simplify: iters left: 5 (28 enodes) 1540196741.081 * * [misc]simplify: iters left: 4 (49 enodes) 1540196741.092 * * [misc]simplify: iters left: 3 (97 enodes) 1540196741.112 * * [misc]simplify: iters left: 2 (184 enodes) 1540196741.154 * * [misc]simplify: iters left: 1 (321 enodes) 1540196741.327 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196741.327 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196741.327 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196741.328 * * [misc]simplify: iters left: 6 (18 enodes) 1540196741.333 * * [misc]simplify: iters left: 5 (25 enodes) 1540196741.341 * * [misc]simplify: iters left: 4 (36 enodes) 1540196741.350 * * [misc]simplify: iters left: 3 (51 enodes) 1540196741.357 * * [misc]simplify: iters left: 2 (68 enodes) 1540196741.366 * * [misc]simplify: iters left: 1 (85 enodes) 1540196741.383 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540196741.384 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (pow 2 (/ k 2)))))) 1540196741.384 * * * * [misc]progress: [ 969 / 6870 ] simplifiying candidate # 1540196741.384 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196741.384 * * [misc]simplify: iters left: 6 (18 enodes) 1540196741.390 * * [misc]simplify: iters left: 5 (29 enodes) 1540196741.395 * * [misc]simplify: iters left: 4 (54 enodes) 1540196741.404 * * [misc]simplify: iters left: 3 (113 enodes) 1540196741.456 * * [misc]simplify: iters left: 2 (314 enodes) 1540196741.777 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196741.777 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196741.777 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196741.778 * * [misc]simplify: iters left: 6 (19 enodes) 1540196741.780 * * [misc]simplify: iters left: 5 (26 enodes) 1540196741.784 * * [misc]simplify: iters left: 4 (37 enodes) 1540196741.794 * * [misc]simplify: iters left: 3 (52 enodes) 1540196741.808 * * [misc]simplify: iters left: 2 (69 enodes) 1540196741.828 * * [misc]simplify: iters left: 1 (86 enodes) 1540196741.846 * [exit]simplify: Simplified to (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196741.846 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196741.846 * * * * [misc]progress: [ 970 / 6870 ] simplifiying candidate # 1540196741.846 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196741.846 * * [misc]simplify: iters left: 6 (17 enodes) 1540196741.849 * * [misc]simplify: iters left: 5 (26 enodes) 1540196741.853 * * [misc]simplify: iters left: 4 (43 enodes) 1540196741.860 * * [misc]simplify: iters left: 3 (64 enodes) 1540196741.874 * * [misc]simplify: iters left: 2 (127 enodes) 1540196741.946 * * [misc]simplify: iters left: 1 (212 enodes) 1540196742.003 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196742.003 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196742.003 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196742.003 * * [misc]simplify: iters left: 6 (19 enodes) 1540196742.008 * * [misc]simplify: iters left: 5 (26 enodes) 1540196742.015 * * [misc]simplify: iters left: 4 (37 enodes) 1540196742.025 * * [misc]simplify: iters left: 3 (52 enodes) 1540196742.039 * * [misc]simplify: iters left: 2 (69 enodes) 1540196742.058 * * [misc]simplify: iters left: 1 (86 enodes) 1540196742.082 * [exit]simplify: Simplified to (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196742.082 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196742.082 * * * * [misc]progress: [ 971 / 6870 ] simplifiying candidate # 1540196742.083 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196742.083 * * [misc]simplify: iters left: 6 (16 enodes) 1540196742.089 * * [misc]simplify: iters left: 5 (28 enodes) 1540196742.099 * * [misc]simplify: iters left: 4 (59 enodes) 1540196742.123 * * [misc]simplify: iters left: 3 (142 enodes) 1540196742.191 * * [misc]simplify: iters left: 2 (403 enodes) 1540196742.535 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196742.535 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196742.536 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196742.536 * * [misc]simplify: iters left: 6 (19 enodes) 1540196742.541 * * [misc]simplify: iters left: 5 (28 enodes) 1540196742.553 * * [misc]simplify: iters left: 4 (47 enodes) 1540196742.567 * * [misc]simplify: iters left: 3 (95 enodes) 1540196742.599 * * [misc]simplify: iters left: 2 (182 enodes) 1540196742.641 * * [misc]simplify: iters left: 1 (317 enodes) 1540196742.776 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196742.777 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196742.777 * * * * [misc]progress: [ 972 / 6870 ] simplifiying candidate # 1540196742.777 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196742.777 * * [misc]simplify: iters left: 6 (16 enodes) 1540196742.780 * * [misc]simplify: iters left: 5 (28 enodes) 1540196742.785 * * [misc]simplify: iters left: 4 (59 enodes) 1540196742.798 * * [misc]simplify: iters left: 3 (142 enodes) 1540196742.843 * * [misc]simplify: iters left: 2 (403 enodes) 1540196743.041 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196743.042 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196743.042 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196743.042 * * [misc]simplify: iters left: 6 (19 enodes) 1540196743.045 * * [misc]simplify: iters left: 5 (28 enodes) 1540196743.049 * * [misc]simplify: iters left: 4 (47 enodes) 1540196743.056 * * [misc]simplify: iters left: 3 (95 enodes) 1540196743.076 * * [misc]simplify: iters left: 2 (182 enodes) 1540196743.156 * * [misc]simplify: iters left: 1 (317 enodes) 1540196743.270 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196743.270 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196743.270 * * * * [misc]progress: [ 973 / 6870 ] simplifiying candidate # 1540196743.270 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196743.270 * * [misc]simplify: iters left: 6 (20 enodes) 1540196743.275 * * [misc]simplify: iters left: 5 (37 enodes) 1540196743.281 * * [misc]simplify: iters left: 4 (90 enodes) 1540196743.299 * * [misc]simplify: iters left: 3 (242 enodes) 1540196743.444 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196743.444 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196743.444 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196743.444 * * [misc]simplify: iters left: 6 (20 enodes) 1540196743.447 * * [misc]simplify: iters left: 5 (29 enodes) 1540196743.451 * * [misc]simplify: iters left: 4 (48 enodes) 1540196743.458 * * [misc]simplify: iters left: 3 (96 enodes) 1540196743.477 * * [misc]simplify: iters left: 2 (183 enodes) 1540196743.557 * * [misc]simplify: iters left: 1 (321 enodes) 1540196743.734 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196743.734 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196743.734 * * * * [misc]progress: [ 974 / 6870 ] simplifiying candidate # 1540196743.734 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196743.734 * * [misc]simplify: iters left: 6 (19 enodes) 1540196743.739 * * [misc]simplify: iters left: 5 (32 enodes) 1540196743.744 * * [misc]simplify: iters left: 4 (66 enodes) 1540196743.755 * * [misc]simplify: iters left: 3 (151 enodes) 1540196743.820 * * [misc]simplify: iters left: 2 (410 enodes) 1540196744.092 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196744.092 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196744.093 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196744.093 * * [misc]simplify: iters left: 6 (20 enodes) 1540196744.099 * * [misc]simplify: iters left: 5 (29 enodes) 1540196744.107 * * [misc]simplify: iters left: 4 (48 enodes) 1540196744.123 * * [misc]simplify: iters left: 3 (96 enodes) 1540196744.158 * * [misc]simplify: iters left: 2 (183 enodes) 1540196744.215 * * [misc]simplify: iters left: 1 (321 enodes) 1540196744.390 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196744.390 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196744.391 * * * * [misc]progress: [ 975 / 6870 ] simplifiying candidate # 1540196744.391 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196744.391 * * [misc]simplify: iters left: 6 (14 enodes) 1540196744.394 * * [misc]simplify: iters left: 5 (25 enodes) 1540196744.399 * * [misc]simplify: iters left: 4 (51 enodes) 1540196744.406 * * [misc]simplify: iters left: 3 (85 enodes) 1540196744.430 * * [misc]simplify: iters left: 2 (186 enodes) 1540196744.516 * * [misc]simplify: iters left: 1 (333 enodes) 1540196744.644 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196744.644 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196744.644 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196744.644 * * [misc]simplify: iters left: 6 (19 enodes) 1540196744.647 * * [misc]simplify: iters left: 5 (28 enodes) 1540196744.652 * * [misc]simplify: iters left: 4 (47 enodes) 1540196744.666 * * [misc]simplify: iters left: 3 (95 enodes) 1540196744.703 * * [misc]simplify: iters left: 2 (182 enodes) 1540196744.772 * * [misc]simplify: iters left: 1 (317 enodes) 1540196744.907 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196744.907 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196744.907 * * * * [misc]progress: [ 976 / 6870 ] simplifiying candidate # 1540196744.908 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196744.908 * * [misc]simplify: iters left: 6 (17 enodes) 1540196744.914 * * [misc]simplify: iters left: 5 (28 enodes) 1540196744.922 * * [misc]simplify: iters left: 4 (50 enodes) 1540196744.938 * * [misc]simplify: iters left: 3 (86 enodes) 1540196744.973 * * [misc]simplify: iters left: 2 (152 enodes) 1540196745.049 * * [misc]simplify: iters left: 1 (268 enodes) 1540196745.178 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1540196745.178 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196745.179 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196745.179 * * [misc]simplify: iters left: 6 (20 enodes) 1540196745.182 * * [misc]simplify: iters left: 5 (29 enodes) 1540196745.186 * * [misc]simplify: iters left: 4 (48 enodes) 1540196745.193 * * [misc]simplify: iters left: 3 (96 enodes) 1540196745.217 * * [misc]simplify: iters left: 2 (183 enodes) 1540196745.290 * * [misc]simplify: iters left: 1 (323 enodes) 1540196745.429 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196745.429 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196745.429 * * * * [misc]progress: [ 977 / 6870 ] simplifiying candidate # 1540196745.430 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196745.430 * * [misc]simplify: iters left: 6 (17 enodes) 1540196745.433 * * [misc]simplify: iters left: 5 (28 enodes) 1540196745.437 * * [misc]simplify: iters left: 4 (50 enodes) 1540196745.445 * * [misc]simplify: iters left: 3 (86 enodes) 1540196745.472 * * [misc]simplify: iters left: 2 (152 enodes) 1540196745.557 * * [misc]simplify: iters left: 1 (268 enodes) 1540196745.714 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1540196745.714 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196745.714 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196745.714 * * [misc]simplify: iters left: 6 (20 enodes) 1540196745.722 * * [misc]simplify: iters left: 5 (29 enodes) 1540196745.731 * * [misc]simplify: iters left: 4 (48 enodes) 1540196745.742 * * [misc]simplify: iters left: 3 (96 enodes) 1540196745.760 * * [misc]simplify: iters left: 2 (183 enodes) 1540196745.819 * * [misc]simplify: iters left: 1 (323 enodes) 1540196745.960 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196745.960 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196745.960 * * * * [misc]progress: [ 978 / 6870 ] simplifiying candidate # 1540196745.960 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196745.961 * * [misc]simplify: iters left: 6 (21 enodes) 1540196745.969 * * [misc]simplify: iters left: 5 (35 enodes) 1540196745.980 * * [misc]simplify: iters left: 4 (66 enodes) 1540196745.999 * * [misc]simplify: iters left: 3 (118 enodes) 1540196746.040 * * [misc]simplify: iters left: 2 (332 enodes) 1540196746.293 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540196746.293 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196746.294 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196746.294 * * [misc]simplify: iters left: 6 (21 enodes) 1540196746.300 * * [misc]simplify: iters left: 5 (30 enodes) 1540196746.308 * * [misc]simplify: iters left: 4 (49 enodes) 1540196746.323 * * [misc]simplify: iters left: 3 (97 enodes) 1540196746.358 * * [misc]simplify: iters left: 2 (184 enodes) 1540196746.438 * * [misc]simplify: iters left: 1 (321 enodes) 1540196746.615 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))) 1540196746.615 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1540196746.616 * * * * [misc]progress: [ 979 / 6870 ] simplifiying candidate # 1540196746.616 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196746.616 * * [misc]simplify: iters left: 6 (20 enodes) 1540196746.619 * * [misc]simplify: iters left: 5 (32 enodes) 1540196746.624 * * [misc]simplify: iters left: 4 (57 enodes) 1540196746.632 * * [misc]simplify: iters left: 3 (93 enodes) 1540196746.656 * * [misc]simplify: iters left: 2 (185 enodes) 1540196746.739 * * [misc]simplify: iters left: 1 (354 enodes) 1540196746.978 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196746.978 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196746.978 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196746.978 * * [misc]simplify: iters left: 6 (21 enodes) 1540196746.981 * * [misc]simplify: iters left: 5 (30 enodes) 1540196746.985 * * [misc]simplify: iters left: 4 (49 enodes) 1540196746.993 * * [misc]simplify: iters left: 3 (97 enodes) 1540196747.017 * * [misc]simplify: iters left: 2 (184 enodes) 1540196747.095 * * [misc]simplify: iters left: 1 (321 enodes) 1540196747.276 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))) 1540196747.276 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1540196747.276 * * * * [misc]progress: [ 980 / 6870 ] simplifiying candidate # 1540196747.276 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196747.277 * * [misc]simplify: iters left: 6 (15 enodes) 1540196747.281 * * [misc]simplify: iters left: 5 (24 enodes) 1540196747.290 * * [misc]simplify: iters left: 4 (41 enodes) 1540196747.302 * * [misc]simplify: iters left: 3 (56 enodes) 1540196747.311 * * [misc]simplify: iters left: 2 (74 enodes) 1540196747.322 * * [misc]simplify: iters left: 1 (89 enodes) 1540196747.337 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1540196747.337 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196747.337 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196747.337 * * [misc]simplify: iters left: 6 (20 enodes) 1540196747.340 * * [misc]simplify: iters left: 5 (29 enodes) 1540196747.344 * * [misc]simplify: iters left: 4 (48 enodes) 1540196747.351 * * [misc]simplify: iters left: 3 (96 enodes) 1540196747.370 * * [misc]simplify: iters left: 2 (183 enodes) 1540196747.442 * * [misc]simplify: iters left: 1 (323 enodes) 1540196747.588 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196747.588 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196747.588 * * * * [misc]progress: [ 981 / 6870 ] simplifiying candidate # 1540196747.588 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196747.589 * * [misc]simplify: iters left: 6 (14 enodes) 1540196747.593 * * [misc]simplify: iters left: 5 (24 enodes) 1540196747.597 * * [misc]simplify: iters left: 4 (51 enodes) 1540196747.606 * * [misc]simplify: iters left: 3 (75 enodes) 1540196747.619 * * [misc]simplify: iters left: 2 (119 enodes) 1540196747.643 * * [misc]simplify: iters left: 1 (163 enodes) 1540196747.718 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540196747.718 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196747.719 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196747.719 * * [misc]simplify: iters left: 6 (18 enodes) 1540196747.721 * * [misc]simplify: iters left: 5 (27 enodes) 1540196747.726 * * [misc]simplify: iters left: 4 (45 enodes) 1540196747.733 * * [misc]simplify: iters left: 3 (90 enodes) 1540196747.758 * * [misc]simplify: iters left: 2 (155 enodes) 1540196747.798 * * [misc]simplify: iters left: 1 (239 enodes) 1540196747.870 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540196747.870 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))))) 1540196747.870 * * * * [misc]progress: [ 982 / 6870 ] simplifiying candidate # 1540196747.870 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196747.870 * * [misc]simplify: iters left: 6 (14 enodes) 1540196747.873 * * [misc]simplify: iters left: 5 (24 enodes) 1540196747.877 * * [misc]simplify: iters left: 4 (51 enodes) 1540196747.887 * * [misc]simplify: iters left: 3 (75 enodes) 1540196747.910 * * [misc]simplify: iters left: 2 (119 enodes) 1540196747.933 * * [misc]simplify: iters left: 1 (163 enodes) 1540196747.991 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540196747.991 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196747.991 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196747.991 * * [misc]simplify: iters left: 6 (18 enodes) 1540196747.994 * * [misc]simplify: iters left: 5 (27 enodes) 1540196747.998 * * [misc]simplify: iters left: 4 (45 enodes) 1540196748.005 * * [misc]simplify: iters left: 3 (90 enodes) 1540196748.021 * * [misc]simplify: iters left: 2 (155 enodes) 1540196748.055 * * [misc]simplify: iters left: 1 (239 enodes) 1540196748.152 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540196748.152 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))))) 1540196748.152 * * * * [misc]progress: [ 983 / 6870 ] simplifiying candidate # 1540196748.153 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196748.153 * * [misc]simplify: iters left: 6 (18 enodes) 1540196748.158 * * [misc]simplify: iters left: 5 (31 enodes) 1540196748.168 * * [misc]simplify: iters left: 4 (69 enodes) 1540196748.191 * * [misc]simplify: iters left: 3 (130 enodes) 1540196748.226 * * [misc]simplify: iters left: 2 (240 enodes) 1540196748.403 * * [misc]simplify: iters left: 1 (489 enodes) 1540196748.768 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196748.768 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196748.768 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196748.768 * * [misc]simplify: iters left: 6 (19 enodes) 1540196748.773 * * [misc]simplify: iters left: 5 (28 enodes) 1540196748.776 * * [misc]simplify: iters left: 4 (46 enodes) 1540196748.783 * * [misc]simplify: iters left: 3 (91 enodes) 1540196748.803 * * [misc]simplify: iters left: 2 (156 enodes) 1540196748.867 * * [misc]simplify: iters left: 1 (239 enodes) 1540196748.980 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196748.980 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196748.980 * * * * [misc]progress: [ 984 / 6870 ] simplifiying candidate # 1540196748.980 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196748.980 * * [misc]simplify: iters left: 6 (17 enodes) 1540196748.985 * * [misc]simplify: iters left: 5 (28 enodes) 1540196748.994 * * [misc]simplify: iters left: 4 (58 enodes) 1540196749.012 * * [misc]simplify: iters left: 3 (80 enodes) 1540196749.031 * * [misc]simplify: iters left: 2 (115 enodes) 1540196749.054 * * [misc]simplify: iters left: 1 (171 enodes) 1540196749.110 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540196749.110 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196749.110 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196749.110 * * [misc]simplify: iters left: 6 (19 enodes) 1540196749.115 * * [misc]simplify: iters left: 5 (28 enodes) 1540196749.123 * * [misc]simplify: iters left: 4 (46 enodes) 1540196749.137 * * [misc]simplify: iters left: 3 (91 enodes) 1540196749.153 * * [misc]simplify: iters left: 2 (156 enodes) 1540196749.186 * * [misc]simplify: iters left: 1 (239 enodes) 1540196749.264 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196749.265 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196749.265 * * * * [misc]progress: [ 985 / 6870 ] simplifiying candidate # 1540196749.265 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196749.265 * * [misc]simplify: iters left: 6 (11 enodes) 1540196749.267 * * [misc]simplify: iters left: 5 (20 enodes) 1540196749.270 * * [misc]simplify: iters left: 4 (37 enodes) 1540196749.276 * * [misc]simplify: iters left: 3 (44 enodes) 1540196749.280 * * [misc]simplify: iters left: 2 (53 enodes) 1540196749.285 * * [misc]simplify: iters left: 1 (63 enodes) 1540196749.293 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196749.293 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196749.293 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196749.293 * * [misc]simplify: iters left: 6 (18 enodes) 1540196749.296 * * [misc]simplify: iters left: 5 (27 enodes) 1540196749.300 * * [misc]simplify: iters left: 4 (45 enodes) 1540196749.307 * * [misc]simplify: iters left: 3 (90 enodes) 1540196749.335 * * [misc]simplify: iters left: 2 (155 enodes) 1540196749.386 * * [misc]simplify: iters left: 1 (239 enodes) 1540196749.503 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) 1540196749.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))))) 1540196749.503 * * * * [misc]progress: [ 986 / 6870 ] simplifiying candidate # 1540196749.503 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540196749.503 * * [misc]simplify: iters left: 6 (15 enodes) 1540196749.507 * * [misc]simplify: iters left: 5 (25 enodes) 1540196749.512 * * [misc]simplify: iters left: 4 (49 enodes) 1540196749.520 * * [misc]simplify: iters left: 3 (109 enodes) 1540196749.559 * * [misc]simplify: iters left: 2 (173 enodes) 1540196749.625 * * [misc]simplify: iters left: 1 (213 enodes) 1540196749.722 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196749.722 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196749.723 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196749.723 * * [misc]simplify: iters left: 6 (18 enodes) 1540196749.728 * * [misc]simplify: iters left: 5 (27 enodes) 1540196749.732 * * [misc]simplify: iters left: 4 (46 enodes) 1540196749.739 * * [misc]simplify: iters left: 3 (94 enodes) 1540196749.760 * * [misc]simplify: iters left: 2 (181 enodes) 1540196749.844 * * [misc]simplify: iters left: 1 (323 enodes) 1540196750.057 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196750.057 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196750.057 * * * * [misc]progress: [ 987 / 6870 ] simplifiying candidate # 1540196750.057 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540196750.057 * * [misc]simplify: iters left: 6 (15 enodes) 1540196750.060 * * [misc]simplify: iters left: 5 (25 enodes) 1540196750.065 * * [misc]simplify: iters left: 4 (49 enodes) 1540196750.073 * * [misc]simplify: iters left: 3 (109 enodes) 1540196750.101 * * [misc]simplify: iters left: 2 (173 enodes) 1540196750.180 * * [misc]simplify: iters left: 1 (213 enodes) 1540196750.275 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196750.275 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196750.275 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196750.275 * * [misc]simplify: iters left: 6 (18 enodes) 1540196750.281 * * [misc]simplify: iters left: 5 (27 enodes) 1540196750.288 * * [misc]simplify: iters left: 4 (46 enodes) 1540196750.302 * * [misc]simplify: iters left: 3 (94 enodes) 1540196750.338 * * [misc]simplify: iters left: 2 (181 enodes) 1540196750.405 * * [misc]simplify: iters left: 1 (323 enodes) 1540196750.518 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196750.518 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196750.518 * * * * [misc]progress: [ 988 / 6870 ] simplifiying candidate # 1540196750.518 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196750.518 * * [misc]simplify: iters left: 6 (19 enodes) 1540196750.522 * * [misc]simplify: iters left: 5 (32 enodes) 1540196750.527 * * [misc]simplify: iters left: 4 (66 enodes) 1540196750.539 * * [misc]simplify: iters left: 3 (142 enodes) 1540196750.592 * * [misc]simplify: iters left: 2 (361 enodes) 1540196750.923 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196750.923 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196750.924 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196750.924 * * [misc]simplify: iters left: 6 (19 enodes) 1540196750.926 * * [misc]simplify: iters left: 5 (28 enodes) 1540196750.934 * * [misc]simplify: iters left: 4 (47 enodes) 1540196750.949 * * [misc]simplify: iters left: 3 (95 enodes) 1540196750.985 * * [misc]simplify: iters left: 2 (182 enodes) 1540196751.071 * * [misc]simplify: iters left: 1 (317 enodes) 1540196751.228 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196751.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196751.228 * * * * [misc]progress: [ 989 / 6870 ] simplifiying candidate # 1540196751.229 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196751.229 * * [misc]simplify: iters left: 6 (18 enodes) 1540196751.237 * * [misc]simplify: iters left: 5 (29 enodes) 1540196751.248 * * [misc]simplify: iters left: 4 (56 enodes) 1540196751.266 * * [misc]simplify: iters left: 3 (116 enodes) 1540196751.326 * * [misc]simplify: iters left: 2 (224 enodes) 1540196751.452 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196751.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196751.453 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196751.453 * * [misc]simplify: iters left: 6 (19 enodes) 1540196751.459 * * [misc]simplify: iters left: 5 (28 enodes) 1540196751.467 * * [misc]simplify: iters left: 4 (47 enodes) 1540196751.479 * * [misc]simplify: iters left: 3 (95 enodes) 1540196751.497 * * [misc]simplify: iters left: 2 (182 enodes) 1540196751.558 * * [misc]simplify: iters left: 1 (317 enodes) 1540196751.695 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196751.695 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196751.695 * * * * [misc]progress: [ 990 / 6870 ] simplifiying candidate # 1540196751.695 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) 1)) 1540196751.695 * * [misc]simplify: iters left: 6 (13 enodes) 1540196751.698 * * [misc]simplify: iters left: 5 (22 enodes) 1540196751.701 * * [misc]simplify: iters left: 4 (33 enodes) 1540196751.705 * * [misc]simplify: iters left: 3 (37 enodes) 1540196751.709 * * [misc]simplify: iters left: 2 (44 enodes) 1540196751.717 * * [misc]simplify: iters left: 1 (52 enodes) 1540196751.732 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196751.732 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196751.732 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196751.733 * * [misc]simplify: iters left: 6 (18 enodes) 1540196751.738 * * [misc]simplify: iters left: 5 (27 enodes) 1540196751.746 * * [misc]simplify: iters left: 4 (46 enodes) 1540196751.754 * * [misc]simplify: iters left: 3 (94 enodes) 1540196751.773 * * [misc]simplify: iters left: 2 (181 enodes) 1540196751.832 * * [misc]simplify: iters left: 1 (323 enodes) 1540196752.011 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196752.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196752.011 * * * * [misc]progress: [ 991 / 6870 ] simplifiying candidate # 1540196752.012 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196752.012 * * [misc]simplify: iters left: 6 (14 enodes) 1540196752.017 * * [misc]simplify: iters left: 5 (24 enodes) 1540196752.025 * * [misc]simplify: iters left: 4 (51 enodes) 1540196752.042 * * [misc]simplify: iters left: 3 (75 enodes) 1540196752.067 * * [misc]simplify: iters left: 2 (119 enodes) 1540196752.114 * * [misc]simplify: iters left: 1 (163 enodes) 1540196752.198 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540196752.198 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196752.198 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196752.198 * * [misc]simplify: iters left: 6 (18 enodes) 1540196752.206 * * [misc]simplify: iters left: 5 (27 enodes) 1540196752.214 * * [misc]simplify: iters left: 4 (45 enodes) 1540196752.226 * * [misc]simplify: iters left: 3 (90 enodes) 1540196752.242 * * [misc]simplify: iters left: 2 (155 enodes) 1540196752.275 * * [misc]simplify: iters left: 1 (239 enodes) 1540196752.364 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540196752.364 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))))) 1540196752.364 * * * * [misc]progress: [ 992 / 6870 ] simplifiying candidate # 1540196752.364 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196752.364 * * [misc]simplify: iters left: 6 (14 enodes) 1540196752.367 * * [misc]simplify: iters left: 5 (24 enodes) 1540196752.371 * * [misc]simplify: iters left: 4 (51 enodes) 1540196752.381 * * [misc]simplify: iters left: 3 (75 enodes) 1540196752.404 * * [misc]simplify: iters left: 2 (119 enodes) 1540196752.431 * * [misc]simplify: iters left: 1 (163 enodes) 1540196752.483 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540196752.483 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196752.484 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196752.484 * * [misc]simplify: iters left: 6 (18 enodes) 1540196752.489 * * [misc]simplify: iters left: 5 (27 enodes) 1540196752.497 * * [misc]simplify: iters left: 4 (45 enodes) 1540196752.505 * * [misc]simplify: iters left: 3 (90 enodes) 1540196752.523 * * [misc]simplify: iters left: 2 (155 enodes) 1540196752.559 * * [misc]simplify: iters left: 1 (239 enodes) 1540196752.629 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540196752.629 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))))) 1540196752.629 * * * * [misc]progress: [ 993 / 6870 ] simplifiying candidate # 1540196752.630 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196752.630 * * [misc]simplify: iters left: 6 (18 enodes) 1540196752.632 * * [misc]simplify: iters left: 5 (31 enodes) 1540196752.638 * * [misc]simplify: iters left: 4 (69 enodes) 1540196752.649 * * [misc]simplify: iters left: 3 (130 enodes) 1540196752.684 * * [misc]simplify: iters left: 2 (240 enodes) 1540196752.814 * * [misc]simplify: iters left: 1 (489 enodes) 1540196753.126 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196753.127 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196753.127 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196753.127 * * [misc]simplify: iters left: 6 (19 enodes) 1540196753.129 * * [misc]simplify: iters left: 5 (28 enodes) 1540196753.133 * * [misc]simplify: iters left: 4 (46 enodes) 1540196753.140 * * [misc]simplify: iters left: 3 (91 enodes) 1540196753.165 * * [misc]simplify: iters left: 2 (156 enodes) 1540196753.202 * * [misc]simplify: iters left: 1 (239 enodes) 1540196753.287 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196753.287 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196753.288 * * * * [misc]progress: [ 994 / 6870 ] simplifiying candidate # 1540196753.288 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196753.288 * * [misc]simplify: iters left: 6 (17 enodes) 1540196753.293 * * [misc]simplify: iters left: 5 (28 enodes) 1540196753.303 * * [misc]simplify: iters left: 4 (58 enodes) 1540196753.320 * * [misc]simplify: iters left: 3 (80 enodes) 1540196753.335 * * [misc]simplify: iters left: 2 (115 enodes) 1540196753.356 * * [misc]simplify: iters left: 1 (171 enodes) 1540196753.423 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540196753.424 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196753.424 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196753.424 * * [misc]simplify: iters left: 6 (19 enodes) 1540196753.430 * * [misc]simplify: iters left: 5 (28 enodes) 1540196753.438 * * [misc]simplify: iters left: 4 (46 enodes) 1540196753.453 * * [misc]simplify: iters left: 3 (91 enodes) 1540196753.486 * * [misc]simplify: iters left: 2 (156 enodes) 1540196753.548 * * [misc]simplify: iters left: 1 (239 enodes) 1540196753.606 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196753.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196753.606 * * * * [misc]progress: [ 995 / 6870 ] simplifiying candidate # 1540196753.606 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196753.606 * * [misc]simplify: iters left: 6 (11 enodes) 1540196753.608 * * [misc]simplify: iters left: 5 (20 enodes) 1540196753.615 * * [misc]simplify: iters left: 4 (37 enodes) 1540196753.626 * * [misc]simplify: iters left: 3 (44 enodes) 1540196753.634 * * [misc]simplify: iters left: 2 (53 enodes) 1540196753.645 * * [misc]simplify: iters left: 1 (63 enodes) 1540196753.661 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196753.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196753.662 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196753.662 * * [misc]simplify: iters left: 6 (18 enodes) 1540196753.667 * * [misc]simplify: iters left: 5 (27 enodes) 1540196753.675 * * [misc]simplify: iters left: 4 (45 enodes) 1540196753.690 * * [misc]simplify: iters left: 3 (90 enodes) 1540196753.722 * * [misc]simplify: iters left: 2 (155 enodes) 1540196753.781 * * [misc]simplify: iters left: 1 (239 enodes) 1540196753.853 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) 1540196753.853 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))))) 1540196753.853 * * * * [misc]progress: [ 996 / 6870 ] simplifiying candidate # 1540196753.854 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (pow 2 1/2))) 1540196753.854 * * [misc]simplify: iters left: 6 (14 enodes) 1540196753.857 * * [misc]simplify: iters left: 5 (24 enodes) 1540196753.861 * * [misc]simplify: iters left: 4 (44 enodes) 1540196753.868 * * [misc]simplify: iters left: 3 (75 enodes) 1540196753.887 * * [misc]simplify: iters left: 2 (117 enodes) 1540196753.926 * * [misc]simplify: iters left: 1 (180 enodes) 1540196753.993 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196753.993 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196753.994 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196753.994 * * [misc]simplify: iters left: 6 (18 enodes) 1540196754.000 * * [misc]simplify: iters left: 5 (27 enodes) 1540196754.008 * * [misc]simplify: iters left: 4 (46 enodes) 1540196754.024 * * [misc]simplify: iters left: 3 (94 enodes) 1540196754.057 * * [misc]simplify: iters left: 2 (181 enodes) 1540196754.099 * * [misc]simplify: iters left: 1 (323 enodes) 1540196754.255 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196754.255 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196754.256 * * * * [misc]progress: [ 997 / 6870 ] simplifiying candidate # 1540196754.256 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (pow 2 1/2))) 1540196754.256 * * [misc]simplify: iters left: 6 (14 enodes) 1540196754.259 * * [misc]simplify: iters left: 5 (24 enodes) 1540196754.267 * * [misc]simplify: iters left: 4 (44 enodes) 1540196754.280 * * [misc]simplify: iters left: 3 (75 enodes) 1540196754.294 * * [misc]simplify: iters left: 2 (117 enodes) 1540196754.351 * * [misc]simplify: iters left: 1 (180 enodes) 1540196754.452 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196754.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196754.453 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196754.453 * * [misc]simplify: iters left: 6 (18 enodes) 1540196754.458 * * [misc]simplify: iters left: 5 (27 enodes) 1540196754.463 * * [misc]simplify: iters left: 4 (46 enodes) 1540196754.470 * * [misc]simplify: iters left: 3 (94 enodes) 1540196754.489 * * [misc]simplify: iters left: 2 (181 enodes) 1540196754.546 * * [misc]simplify: iters left: 1 (323 enodes) 1540196754.696 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196754.696 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196754.696 * * * * [misc]progress: [ 998 / 6870 ] simplifiying candidate # 1540196754.696 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196754.697 * * [misc]simplify: iters left: 6 (18 enodes) 1540196754.702 * * [misc]simplify: iters left: 5 (31 enodes) 1540196754.712 * * [misc]simplify: iters left: 4 (60 enodes) 1540196754.732 * * [misc]simplify: iters left: 3 (113 enodes) 1540196754.784 * * [misc]simplify: iters left: 2 (281 enodes) 1540196755.067 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196755.067 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196755.067 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196755.068 * * [misc]simplify: iters left: 6 (19 enodes) 1540196755.072 * * [misc]simplify: iters left: 5 (28 enodes) 1540196755.080 * * [misc]simplify: iters left: 4 (47 enodes) 1540196755.094 * * [misc]simplify: iters left: 3 (95 enodes) 1540196755.126 * * [misc]simplify: iters left: 2 (182 enodes) 1540196755.210 * * [misc]simplify: iters left: 1 (317 enodes) 1540196755.384 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196755.384 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196755.384 * * * * [misc]progress: [ 999 / 6870 ] simplifiying candidate # 1540196755.384 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196755.384 * * [misc]simplify: iters left: 6 (17 enodes) 1540196755.387 * * [misc]simplify: iters left: 5 (28 enodes) 1540196755.392 * * [misc]simplify: iters left: 4 (51 enodes) 1540196755.399 * * [misc]simplify: iters left: 3 (80 enodes) 1540196755.415 * * [misc]simplify: iters left: 2 (147 enodes) 1540196755.502 * * [misc]simplify: iters left: 1 (283 enodes) 1540196755.667 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) 1540196755.667 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196755.667 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196755.667 * * [misc]simplify: iters left: 6 (19 enodes) 1540196755.672 * * [misc]simplify: iters left: 5 (28 enodes) 1540196755.680 * * [misc]simplify: iters left: 4 (47 enodes) 1540196755.695 * * [misc]simplify: iters left: 3 (95 enodes) 1540196755.731 * * [misc]simplify: iters left: 2 (182 enodes) 1540196755.815 * * [misc]simplify: iters left: 1 (317 enodes) 1540196755.938 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196755.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196755.938 * * * * [misc]progress: [ 1000 / 6870 ] simplifiying candidate # 1540196755.938 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 1)) 1540196755.939 * * [misc]simplify: iters left: 6 (12 enodes) 1540196755.940 * * [misc]simplify: iters left: 5 (19 enodes) 1540196755.945 * * [misc]simplify: iters left: 4 (30 enodes) 1540196755.949 * * [misc]simplify: iters left: 3 (34 enodes) 1540196755.952 * * [misc]simplify: iters left: 2 (41 enodes) 1540196755.958 * * [misc]simplify: iters left: 1 (51 enodes) 1540196755.966 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196755.966 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196755.966 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196755.966 * * [misc]simplify: iters left: 6 (18 enodes) 1540196755.970 * * [misc]simplify: iters left: 5 (27 enodes) 1540196755.978 * * [misc]simplify: iters left: 4 (46 enodes) 1540196755.992 * * [misc]simplify: iters left: 3 (94 enodes) 1540196756.010 * * [misc]simplify: iters left: 2 (181 enodes) 1540196756.081 * * [misc]simplify: iters left: 1 (323 enodes) 1540196756.223 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196756.224 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196756.224 * * * * [misc]progress: [ 1001 / 6870 ] simplifiying candidate # 1540196756.224 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) 1) 1540196756.224 * * [misc]simplify: iters left: 6 (11 enodes) 1540196756.228 * * [misc]simplify: iters left: 5 (18 enodes) 1540196756.234 * * [misc]simplify: iters left: 4 (34 enodes) 1540196756.244 * * [misc]simplify: iters left: 3 (41 enodes) 1540196756.249 * * [misc]simplify: iters left: 2 (54 enodes) 1540196756.257 * * [misc]simplify: iters left: 1 (66 enodes) 1540196756.267 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196756.267 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196756.268 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196756.268 * * [misc]simplify: iters left: 6 (18 enodes) 1540196756.270 * * [misc]simplify: iters left: 5 (27 enodes) 1540196756.277 * * [misc]simplify: iters left: 4 (46 enodes) 1540196756.292 * * [misc]simplify: iters left: 3 (94 enodes) 1540196756.319 * * [misc]simplify: iters left: 2 (181 enodes) 1540196756.369 * * [misc]simplify: iters left: 1 (323 enodes) 1540196756.513 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196756.513 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196756.513 * * * * [misc]progress: [ 1002 / 6870 ] simplifiying candidate # 1540196756.514 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (sqrt (sqrt k))) 1540196756.514 * * [misc]simplify: iters left: 6 (11 enodes) 1540196756.518 * * [misc]simplify: iters left: 5 (18 enodes) 1540196756.524 * * [misc]simplify: iters left: 4 (32 enodes) 1540196756.530 * * [misc]simplify: iters left: 3 (53 enodes) 1540196756.540 * * [misc]simplify: iters left: 2 (115 enodes) 1540196756.591 * * [misc]simplify: iters left: 1 (199 enodes) 1540196756.654 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196756.654 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196756.655 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196756.655 * * [misc]simplify: iters left: 6 (19 enodes) 1540196756.660 * * [misc]simplify: iters left: 5 (30 enodes) 1540196756.669 * * [misc]simplify: iters left: 4 (47 enodes) 1540196756.678 * * [misc]simplify: iters left: 3 (99 enodes) 1540196756.697 * * [misc]simplify: iters left: 2 (207 enodes) 1540196756.795 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196756.795 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196756.795 * * * * [misc]progress: [ 1003 / 6870 ] simplifiying candidate # 1540196756.796 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196756.796 * * [misc]simplify: iters left: 6 (14 enodes) 1540196756.801 * * [misc]simplify: iters left: 5 (24 enodes) 1540196756.809 * * [misc]simplify: iters left: 4 (46 enodes) 1540196756.820 * * [misc]simplify: iters left: 3 (100 enodes) 1540196756.846 * * [misc]simplify: iters left: 2 (216 enodes) 1540196756.997 * * [misc]simplify: iters left: 1 (375 enodes) 1540196757.163 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196757.163 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))))) 1540196757.163 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540196757.163 * * [misc]simplify: iters left: 6 (17 enodes) 1540196757.166 * * [misc]simplify: iters left: 5 (24 enodes) 1540196757.172 * * [misc]simplify: iters left: 4 (35 enodes) 1540196757.182 * * [misc]simplify: iters left: 3 (50 enodes) 1540196757.195 * * [misc]simplify: iters left: 2 (67 enodes) 1540196757.210 * * [misc]simplify: iters left: 1 (84 enodes) 1540196757.222 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196757.222 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196757.222 * * * * [misc]progress: [ 1004 / 6870 ] simplifiying candidate # 1540196757.222 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196757.222 * * [misc]simplify: iters left: 6 (20 enodes) 1540196757.226 * * [misc]simplify: iters left: 5 (32 enodes) 1540196757.230 * * [misc]simplify: iters left: 4 (52 enodes) 1540196757.239 * * [misc]simplify: iters left: 3 (90 enodes) 1540196757.255 * * [misc]simplify: iters left: 2 (177 enodes) 1540196757.342 * * [misc]simplify: iters left: 1 (324 enodes) 1540196757.442 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (sqrt PI))) 1540196757.442 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196757.442 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196757.442 * * [misc]simplify: iters left: 6 (18 enodes) 1540196757.448 * * [misc]simplify: iters left: 5 (25 enodes) 1540196757.455 * * [misc]simplify: iters left: 4 (36 enodes) 1540196757.464 * * [misc]simplify: iters left: 3 (51 enodes) 1540196757.471 * * [misc]simplify: iters left: 2 (68 enodes) 1540196757.482 * * [misc]simplify: iters left: 1 (85 enodes) 1540196757.493 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196757.493 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196757.494 * * * * [misc]progress: [ 1005 / 6870 ] simplifiying candidate # 1540196757.494 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196757.494 * * [misc]simplify: iters left: 6 (19 enodes) 1540196757.498 * * [misc]simplify: iters left: 5 (29 enodes) 1540196757.506 * * [misc]simplify: iters left: 4 (41 enodes) 1540196757.517 * * [misc]simplify: iters left: 3 (65 enodes) 1540196757.537 * * [misc]simplify: iters left: 2 (98 enodes) 1540196757.562 * * [misc]simplify: iters left: 1 (115 enodes) 1540196757.585 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196757.585 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196757.585 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196757.585 * * [misc]simplify: iters left: 6 (18 enodes) 1540196757.591 * * [misc]simplify: iters left: 5 (25 enodes) 1540196757.598 * * [misc]simplify: iters left: 4 (36 enodes) 1540196757.609 * * [misc]simplify: iters left: 3 (51 enodes) 1540196757.619 * * [misc]simplify: iters left: 2 (68 enodes) 1540196757.628 * * [misc]simplify: iters left: 1 (85 enodes) 1540196757.640 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196757.640 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196757.640 * * * * [misc]progress: [ 1006 / 6870 ] simplifiying candidate # 1540196757.640 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196757.640 * * [misc]simplify: iters left: 6 (18 enodes) 1540196757.644 * * [misc]simplify: iters left: 5 (31 enodes) 1540196757.653 * * [misc]simplify: iters left: 4 (58 enodes) 1540196757.676 * * [misc]simplify: iters left: 3 (155 enodes) 1540196757.752 * * [misc]simplify: iters left: 2 (443 enodes) 1540196758.225 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540196758.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196758.225 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196758.225 * * [misc]simplify: iters left: 6 (16 enodes) 1540196758.228 * * [misc]simplify: iters left: 5 (24 enodes) 1540196758.231 * * [misc]simplify: iters left: 4 (42 enodes) 1540196758.237 * * [misc]simplify: iters left: 3 (90 enodes) 1540196758.257 * * [misc]simplify: iters left: 2 (177 enodes) 1540196758.314 * * [misc]simplify: iters left: 1 (312 enodes) 1540196758.477 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540196758.477 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))))) 1540196758.477 * * * * [misc]progress: [ 1007 / 6870 ] simplifiying candidate # 1540196758.478 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196758.478 * * [misc]simplify: iters left: 6 (18 enodes) 1540196758.484 * * [misc]simplify: iters left: 5 (31 enodes) 1540196758.494 * * [misc]simplify: iters left: 4 (58 enodes) 1540196758.516 * * [misc]simplify: iters left: 3 (155 enodes) 1540196758.566 * * [misc]simplify: iters left: 2 (443 enodes) 1540196759.092 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540196759.092 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196759.092 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196759.092 * * [misc]simplify: iters left: 6 (16 enodes) 1540196759.094 * * [misc]simplify: iters left: 5 (24 enodes) 1540196759.098 * * [misc]simplify: iters left: 4 (42 enodes) 1540196759.108 * * [misc]simplify: iters left: 3 (90 enodes) 1540196759.134 * * [misc]simplify: iters left: 2 (177 enodes) 1540196759.208 * * [misc]simplify: iters left: 1 (312 enodes) 1540196759.336 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540196759.336 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))))) 1540196759.337 * * * * [misc]progress: [ 1008 / 6870 ] simplifiying candidate # 1540196759.337 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196759.337 * * [misc]simplify: iters left: 6 (22 enodes) 1540196759.341 * * [misc]simplify: iters left: 5 (40 enodes) 1540196759.347 * * [misc]simplify: iters left: 4 (90 enodes) 1540196759.369 * * [misc]simplify: iters left: 3 (254 enodes) 1540196759.477 * [exit]simplify: Simplified to (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196759.477 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196759.477 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196759.478 * * [misc]simplify: iters left: 6 (19 enodes) 1540196759.483 * * [misc]simplify: iters left: 5 (28 enodes) 1540196759.491 * * [misc]simplify: iters left: 4 (47 enodes) 1540196759.505 * * [misc]simplify: iters left: 3 (95 enodes) 1540196759.525 * * [misc]simplify: iters left: 2 (182 enodes) 1540196759.595 * * [misc]simplify: iters left: 1 (321 enodes) 1540196759.715 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196759.715 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196759.715 * * * * [misc]progress: [ 1009 / 6870 ] simplifiying candidate # 1540196759.715 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196759.715 * * [misc]simplify: iters left: 6 (21 enodes) 1540196759.719 * * [misc]simplify: iters left: 5 (35 enodes) 1540196759.724 * * [misc]simplify: iters left: 4 (65 enodes) 1540196759.735 * * [misc]simplify: iters left: 3 (162 enodes) 1540196759.780 * * [misc]simplify: iters left: 2 (458 enodes) 1540196760.109 * [exit]simplify: Simplified to (* (/ (* (sqrt n) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196760.110 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt n) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196760.110 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196760.110 * * [misc]simplify: iters left: 6 (19 enodes) 1540196760.113 * * [misc]simplify: iters left: 5 (28 enodes) 1540196760.117 * * [misc]simplify: iters left: 4 (47 enodes) 1540196760.129 * * [misc]simplify: iters left: 3 (95 enodes) 1540196760.164 * * [misc]simplify: iters left: 2 (182 enodes) 1540196760.214 * * [misc]simplify: iters left: 1 (321 enodes) 1540196760.380 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196760.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt n) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196760.381 * * * * [misc]progress: [ 1010 / 6870 ] simplifiying candidate # 1540196760.382 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196760.382 * * [misc]simplify: iters left: 6 (16 enodes) 1540196760.387 * * [misc]simplify: iters left: 5 (28 enodes) 1540196760.397 * * [misc]simplify: iters left: 4 (56 enodes) 1540196760.415 * * [misc]simplify: iters left: 3 (110 enodes) 1540196760.455 * * [misc]simplify: iters left: 2 (336 enodes) 1540196760.809 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196760.809 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196760.809 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196760.810 * * [misc]simplify: iters left: 6 (18 enodes) 1540196760.815 * * [misc]simplify: iters left: 5 (27 enodes) 1540196760.823 * * [misc]simplify: iters left: 4 (46 enodes) 1540196760.837 * * [misc]simplify: iters left: 3 (94 enodes) 1540196760.871 * * [misc]simplify: iters left: 2 (181 enodes) 1540196760.912 * * [misc]simplify: iters left: 1 (325 enodes) 1540196761.085 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196761.085 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196761.085 * * * * [misc]progress: [ 1011 / 6870 ] simplifiying candidate # 1540196761.086 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196761.086 * * [misc]simplify: iters left: 6 (18 enodes) 1540196761.093 * * [misc]simplify: iters left: 5 (30 enodes) 1540196761.102 * * [misc]simplify: iters left: 4 (47 enodes) 1540196761.117 * * [misc]simplify: iters left: 3 (93 enodes) 1540196761.142 * * [misc]simplify: iters left: 2 (205 enodes) 1540196761.229 * * [misc]simplify: iters left: 1 (345 enodes) 1540196761.357 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540196761.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196761.358 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196761.358 * * [misc]simplify: iters left: 6 (17 enodes) 1540196761.360 * * [misc]simplify: iters left: 5 (25 enodes) 1540196761.364 * * [misc]simplify: iters left: 4 (43 enodes) 1540196761.370 * * [misc]simplify: iters left: 3 (91 enodes) 1540196761.395 * * [misc]simplify: iters left: 2 (178 enodes) 1540196761.475 * * [misc]simplify: iters left: 1 (316 enodes) 1540196761.630 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540196761.631 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))))) 1540196761.631 * * * * [misc]progress: [ 1012 / 6870 ] simplifiying candidate # 1540196761.631 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196761.631 * * [misc]simplify: iters left: 6 (18 enodes) 1540196761.637 * * [misc]simplify: iters left: 5 (30 enodes) 1540196761.641 * * [misc]simplify: iters left: 4 (47 enodes) 1540196761.649 * * [misc]simplify: iters left: 3 (93 enodes) 1540196761.667 * * [misc]simplify: iters left: 2 (205 enodes) 1540196761.750 * * [misc]simplify: iters left: 1 (345 enodes) 1540196761.901 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540196761.901 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196761.901 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196761.901 * * [misc]simplify: iters left: 6 (17 enodes) 1540196761.906 * * [misc]simplify: iters left: 5 (25 enodes) 1540196761.914 * * [misc]simplify: iters left: 4 (43 enodes) 1540196761.928 * * [misc]simplify: iters left: 3 (91 enodes) 1540196761.962 * * [misc]simplify: iters left: 2 (178 enodes) 1540196762.014 * * [misc]simplify: iters left: 1 (316 enodes) 1540196762.149 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540196762.149 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))))) 1540196762.149 * * * * [misc]progress: [ 1013 / 6870 ] simplifiying candidate # 1540196762.150 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196762.150 * * [misc]simplify: iters left: 6 (22 enodes) 1540196762.157 * * [misc]simplify: iters left: 5 (37 enodes) 1540196762.167 * * [misc]simplify: iters left: 4 (63 enodes) 1540196762.187 * * [misc]simplify: iters left: 3 (136 enodes) 1540196762.245 * * [misc]simplify: iters left: 2 (333 enodes) 1540196762.449 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n))) 1540196762.449 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196762.449 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196762.449 * * [misc]simplify: iters left: 6 (20 enodes) 1540196762.455 * * [misc]simplify: iters left: 5 (29 enodes) 1540196762.466 * * [misc]simplify: iters left: 4 (48 enodes) 1540196762.479 * * [misc]simplify: iters left: 3 (96 enodes) 1540196762.497 * * [misc]simplify: iters left: 2 (183 enodes) 1540196762.541 * * [misc]simplify: iters left: 1 (326 enodes) 1540196762.714 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))) 1540196762.714 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))))) 1540196762.714 * * * * [misc]progress: [ 1014 / 6870 ] simplifiying candidate # 1540196762.714 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196762.715 * * [misc]simplify: iters left: 6 (21 enodes) 1540196762.719 * * [misc]simplify: iters left: 5 (34 enodes) 1540196762.724 * * [misc]simplify: iters left: 4 (54 enodes) 1540196762.732 * * [misc]simplify: iters left: 3 (100 enodes) 1540196762.750 * * [misc]simplify: iters left: 2 (209 enodes) 1540196762.804 * * [misc]simplify: iters left: 1 (391 enodes) 1540196762.960 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt n) (sqrt PI)))) 1540196762.960 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt n) (sqrt PI)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196762.961 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196762.961 * * [misc]simplify: iters left: 6 (20 enodes) 1540196762.966 * * [misc]simplify: iters left: 5 (29 enodes) 1540196762.975 * * [misc]simplify: iters left: 4 (48 enodes) 1540196762.989 * * [misc]simplify: iters left: 3 (96 enodes) 1540196763.026 * * [misc]simplify: iters left: 2 (183 enodes) 1540196763.095 * * [misc]simplify: iters left: 1 (326 enodes) 1540196763.273 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))) 1540196763.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt n) (sqrt PI)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))))) 1540196763.273 * * * * [misc]progress: [ 1015 / 6870 ] simplifiying candidate # 1540196763.273 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196763.274 * * [misc]simplify: iters left: 6 (16 enodes) 1540196763.279 * * [misc]simplify: iters left: 5 (26 enodes) 1540196763.287 * * [misc]simplify: iters left: 4 (40 enodes) 1540196763.297 * * [misc]simplify: iters left: 3 (73 enodes) 1540196763.318 * * [misc]simplify: iters left: 2 (153 enodes) 1540196763.372 * * [misc]simplify: iters left: 1 (235 enodes) 1540196763.467 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540196763.467 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196763.467 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196763.467 * * [misc]simplify: iters left: 6 (19 enodes) 1540196763.473 * * [misc]simplify: iters left: 5 (28 enodes) 1540196763.481 * * [misc]simplify: iters left: 4 (47 enodes) 1540196763.497 * * [misc]simplify: iters left: 3 (95 enodes) 1540196763.525 * * [misc]simplify: iters left: 2 (182 enodes) 1540196763.572 * * [misc]simplify: iters left: 1 (320 enodes) 1540196763.702 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2))))) 1540196763.702 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2))))))) 1540196763.702 * * * * [misc]progress: [ 1016 / 6870 ] simplifiying candidate # 1540196763.703 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196763.703 * * [misc]simplify: iters left: 6 (17 enodes) 1540196763.706 * * [misc]simplify: iters left: 5 (28 enodes) 1540196763.710 * * [misc]simplify: iters left: 4 (45 enodes) 1540196763.718 * * [misc]simplify: iters left: 3 (91 enodes) 1540196763.753 * * [misc]simplify: iters left: 2 (206 enodes) 1540196763.828 * * [misc]simplify: iters left: 1 (424 enodes) 1540196764.132 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196764.133 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196764.133 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196764.133 * * [misc]simplify: iters left: 6 (16 enodes) 1540196764.138 * * [misc]simplify: iters left: 5 (24 enodes) 1540196764.145 * * [misc]simplify: iters left: 4 (42 enodes) 1540196764.158 * * [misc]simplify: iters left: 3 (90 enodes) 1540196764.175 * * [misc]simplify: iters left: 2 (177 enodes) 1540196764.230 * * [misc]simplify: iters left: 1 (312 enodes) 1540196764.368 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196764.368 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196764.368 * * * * [misc]progress: [ 1017 / 6870 ] simplifiying candidate # 1540196764.368 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196764.368 * * [misc]simplify: iters left: 6 (17 enodes) 1540196764.372 * * [misc]simplify: iters left: 5 (28 enodes) 1540196764.381 * * [misc]simplify: iters left: 4 (45 enodes) 1540196764.395 * * [misc]simplify: iters left: 3 (91 enodes) 1540196764.416 * * [misc]simplify: iters left: 2 (206 enodes) 1540196764.498 * * [misc]simplify: iters left: 1 (424 enodes) 1540196764.775 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196764.775 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196764.775 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196764.775 * * [misc]simplify: iters left: 6 (16 enodes) 1540196764.778 * * [misc]simplify: iters left: 5 (24 enodes) 1540196764.781 * * [misc]simplify: iters left: 4 (42 enodes) 1540196764.791 * * [misc]simplify: iters left: 3 (90 enodes) 1540196764.808 * * [misc]simplify: iters left: 2 (177 enodes) 1540196764.860 * * [misc]simplify: iters left: 1 (312 enodes) 1540196764.988 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196764.988 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196764.989 * * * * [misc]progress: [ 1018 / 6870 ] simplifiying candidate # 1540196764.989 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196764.989 * * [misc]simplify: iters left: 6 (21 enodes) 1540196764.996 * * [misc]simplify: iters left: 5 (35 enodes) 1540196765.005 * * [misc]simplify: iters left: 4 (61 enodes) 1540196765.026 * * [misc]simplify: iters left: 3 (134 enodes) 1540196765.076 * * [misc]simplify: iters left: 2 (338 enodes) 1540196765.245 * [exit]simplify: Simplified to (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196765.245 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196765.246 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196765.246 * * [misc]simplify: iters left: 6 (19 enodes) 1540196765.251 * * [misc]simplify: iters left: 5 (28 enodes) 1540196765.255 * * [misc]simplify: iters left: 4 (47 enodes) 1540196765.262 * * [misc]simplify: iters left: 3 (95 enodes) 1540196765.282 * * [misc]simplify: iters left: 2 (182 enodes) 1540196765.339 * * [misc]simplify: iters left: 1 (321 enodes) 1540196765.458 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196765.458 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196765.458 * * * * [misc]progress: [ 1019 / 6870 ] simplifiying candidate # 1540196765.458 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196765.458 * * [misc]simplify: iters left: 6 (20 enodes) 1540196765.462 * * [misc]simplify: iters left: 5 (32 enodes) 1540196765.466 * * [misc]simplify: iters left: 4 (52 enodes) 1540196765.474 * * [misc]simplify: iters left: 3 (98 enodes) 1540196765.503 * * [misc]simplify: iters left: 2 (212 enodes) 1540196765.567 * * [misc]simplify: iters left: 1 (480 enodes) 1540196765.927 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) 1540196765.927 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196765.927 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196765.927 * * [misc]simplify: iters left: 6 (19 enodes) 1540196765.930 * * [misc]simplify: iters left: 5 (28 enodes) 1540196765.934 * * [misc]simplify: iters left: 4 (47 enodes) 1540196765.946 * * [misc]simplify: iters left: 3 (95 enodes) 1540196765.981 * * [misc]simplify: iters left: 2 (182 enodes) 1540196766.034 * * [misc]simplify: iters left: 1 (321 enodes) 1540196766.183 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196766.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196766.183 * * * * [misc]progress: [ 1020 / 6870 ] simplifiying candidate # 1540196766.183 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196766.183 * * [misc]simplify: iters left: 6 (15 enodes) 1540196766.187 * * [misc]simplify: iters left: 5 (25 enodes) 1540196766.191 * * [misc]simplify: iters left: 4 (45 enodes) 1540196766.201 * * [misc]simplify: iters left: 3 (73 enodes) 1540196766.222 * * [misc]simplify: iters left: 2 (146 enodes) 1540196766.266 * * [misc]simplify: iters left: 1 (216 enodes) 1540196766.325 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196766.325 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196766.325 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196766.325 * * [misc]simplify: iters left: 6 (18 enodes) 1540196766.328 * * [misc]simplify: iters left: 5 (27 enodes) 1540196766.332 * * [misc]simplify: iters left: 4 (46 enodes) 1540196766.339 * * [misc]simplify: iters left: 3 (94 enodes) 1540196766.365 * * [misc]simplify: iters left: 2 (181 enodes) 1540196766.410 * * [misc]simplify: iters left: 1 (325 enodes) 1540196766.536 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196766.536 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196766.536 * * * * [misc]progress: [ 1021 / 6870 ] simplifiying candidate # 1540196766.536 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196766.536 * * [misc]simplify: iters left: 6 (13 enodes) 1540196766.539 * * [misc]simplify: iters left: 5 (24 enodes) 1540196766.543 * * [misc]simplify: iters left: 4 (43 enodes) 1540196766.554 * * [misc]simplify: iters left: 3 (99 enodes) 1540196766.572 * * [misc]simplify: iters left: 2 (142 enodes) 1540196766.607 * * [misc]simplify: iters left: 1 (166 enodes) 1540196766.628 * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt n)) (sqrt PI)) 1540196766.628 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196766.628 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196766.628 * * [misc]simplify: iters left: 6 (15 enodes) 1540196766.630 * * [misc]simplify: iters left: 5 (23 enodes) 1540196766.634 * * [misc]simplify: iters left: 4 (40 enodes) 1540196766.642 * * [misc]simplify: iters left: 3 (85 enodes) 1540196766.659 * * [misc]simplify: iters left: 2 (150 enodes) 1540196766.696 * * [misc]simplify: iters left: 1 (234 enodes) 1540196766.772 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196766.772 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196766.772 * * * * [misc]progress: [ 1022 / 6870 ] simplifiying candidate # 1540196766.772 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196766.772 * * [misc]simplify: iters left: 6 (13 enodes) 1540196766.775 * * [misc]simplify: iters left: 5 (24 enodes) 1540196766.779 * * [misc]simplify: iters left: 4 (43 enodes) 1540196766.788 * * [misc]simplify: iters left: 3 (99 enodes) 1540196766.814 * * [misc]simplify: iters left: 2 (142 enodes) 1540196766.854 * * [misc]simplify: iters left: 1 (166 enodes) 1540196766.882 * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt n)) (sqrt PI)) 1540196766.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196766.882 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196766.883 * * [misc]simplify: iters left: 6 (15 enodes) 1540196766.885 * * [misc]simplify: iters left: 5 (23 enodes) 1540196766.888 * * [misc]simplify: iters left: 4 (40 enodes) 1540196766.894 * * [misc]simplify: iters left: 3 (85 enodes) 1540196766.915 * * [misc]simplify: iters left: 2 (150 enodes) 1540196766.961 * * [misc]simplify: iters left: 1 (234 enodes) 1540196767.024 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196767.024 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196767.024 * * * * [misc]progress: [ 1023 / 6870 ] simplifiying candidate # 1540196767.024 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196767.024 * * [misc]simplify: iters left: 6 (18 enodes) 1540196767.028 * * [misc]simplify: iters left: 5 (32 enodes) 1540196767.032 * * [misc]simplify: iters left: 4 (61 enodes) 1540196767.045 * * [misc]simplify: iters left: 3 (155 enodes) 1540196767.085 * * [misc]simplify: iters left: 2 (342 enodes) 1540196767.205 * [exit]simplify: Simplified to (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196767.205 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196767.205 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196767.205 * * [misc]simplify: iters left: 6 (18 enodes) 1540196767.208 * * [misc]simplify: iters left: 5 (27 enodes) 1540196767.212 * * [misc]simplify: iters left: 4 (45 enodes) 1540196767.225 * * [misc]simplify: iters left: 3 (90 enodes) 1540196767.242 * * [misc]simplify: iters left: 2 (155 enodes) 1540196767.295 * * [misc]simplify: iters left: 1 (235 enodes) 1540196767.350 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196767.350 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196767.350 * * * * [misc]progress: [ 1024 / 6870 ] simplifiying candidate # 1540196767.350 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196767.350 * * [misc]simplify: iters left: 6 (17 enodes) 1540196767.353 * * [misc]simplify: iters left: 5 (29 enodes) 1540196767.357 * * [misc]simplify: iters left: 4 (51 enodes) 1540196767.366 * * [misc]simplify: iters left: 3 (111 enodes) 1540196767.385 * * [misc]simplify: iters left: 2 (206 enodes) 1540196767.442 * * [misc]simplify: iters left: 1 (294 enodes) 1540196767.511 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196767.511 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196767.511 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196767.511 * * [misc]simplify: iters left: 6 (18 enodes) 1540196767.514 * * [misc]simplify: iters left: 5 (27 enodes) 1540196767.518 * * [misc]simplify: iters left: 4 (45 enodes) 1540196767.525 * * [misc]simplify: iters left: 3 (90 enodes) 1540196767.541 * * [misc]simplify: iters left: 2 (155 enodes) 1540196767.584 * * [misc]simplify: iters left: 1 (235 enodes) 1540196767.658 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196767.658 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196767.658 * * * * [misc]progress: [ 1025 / 6870 ] simplifiying candidate # 1540196767.659 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196767.659 * * [misc]simplify: iters left: 6 (11 enodes) 1540196767.661 * * [misc]simplify: iters left: 5 (21 enodes) 1540196767.664 * * [misc]simplify: iters left: 4 (28 enodes) 1540196767.667 * * [misc]simplify: iters left: 3 (33 enodes) 1540196767.672 * * [misc]simplify: iters left: 2 (41 enodes) 1540196767.678 * * [misc]simplify: iters left: 1 (57 enodes) 1540196767.687 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540196767.687 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt n) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196767.687 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196767.688 * * [misc]simplify: iters left: 6 (17 enodes) 1540196767.690 * * [misc]simplify: iters left: 5 (26 enodes) 1540196767.694 * * [misc]simplify: iters left: 4 (44 enodes) 1540196767.700 * * [misc]simplify: iters left: 3 (89 enodes) 1540196767.716 * * [misc]simplify: iters left: 2 (154 enodes) 1540196767.749 * * [misc]simplify: iters left: 1 (234 enodes) 1540196767.818 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540196767.818 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt n) (sqrt PI)) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))))) 1540196767.818 * * * * [misc]progress: [ 1026 / 6870 ] simplifiying candidate # 1540196767.818 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196767.819 * * [misc]simplify: iters left: 6 (17 enodes) 1540196767.822 * * [misc]simplify: iters left: 5 (28 enodes) 1540196767.826 * * [misc]simplify: iters left: 4 (45 enodes) 1540196767.838 * * [misc]simplify: iters left: 3 (91 enodes) 1540196767.856 * * [misc]simplify: iters left: 2 (206 enodes) 1540196767.934 * * [misc]simplify: iters left: 1 (424 enodes) 1540196768.235 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196768.235 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196768.235 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196768.236 * * [misc]simplify: iters left: 6 (16 enodes) 1540196768.240 * * [misc]simplify: iters left: 5 (24 enodes) 1540196768.247 * * [misc]simplify: iters left: 4 (42 enodes) 1540196768.260 * * [misc]simplify: iters left: 3 (90 enodes) 1540196768.287 * * [misc]simplify: iters left: 2 (177 enodes) 1540196768.334 * * [misc]simplify: iters left: 1 (312 enodes) 1540196768.483 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196768.483 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196768.483 * * * * [misc]progress: [ 1027 / 6870 ] simplifiying candidate # 1540196768.484 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196768.484 * * [misc]simplify: iters left: 6 (17 enodes) 1540196768.488 * * [misc]simplify: iters left: 5 (28 enodes) 1540196768.492 * * [misc]simplify: iters left: 4 (45 enodes) 1540196768.500 * * [misc]simplify: iters left: 3 (91 enodes) 1540196768.527 * * [misc]simplify: iters left: 2 (206 enodes) 1540196768.606 * * [misc]simplify: iters left: 1 (424 enodes) 1540196768.839 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196768.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196768.839 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196768.839 * * [misc]simplify: iters left: 6 (16 enodes) 1540196768.841 * * [misc]simplify: iters left: 5 (24 enodes) 1540196768.845 * * [misc]simplify: iters left: 4 (42 enodes) 1540196768.851 * * [misc]simplify: iters left: 3 (90 enodes) 1540196768.868 * * [misc]simplify: iters left: 2 (177 enodes) 1540196768.928 * * [misc]simplify: iters left: 1 (312 enodes) 1540196769.077 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196769.077 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196769.077 * * * * [misc]progress: [ 1028 / 6870 ] simplifiying candidate # 1540196769.077 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196769.077 * * [misc]simplify: iters left: 6 (21 enodes) 1540196769.084 * * [misc]simplify: iters left: 5 (35 enodes) 1540196769.094 * * [misc]simplify: iters left: 4 (61 enodes) 1540196769.107 * * [misc]simplify: iters left: 3 (134 enodes) 1540196769.139 * * [misc]simplify: iters left: 2 (338 enodes) 1540196769.316 * [exit]simplify: Simplified to (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196769.316 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196769.317 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196769.317 * * [misc]simplify: iters left: 6 (19 enodes) 1540196769.319 * * [misc]simplify: iters left: 5 (28 enodes) 1540196769.325 * * [misc]simplify: iters left: 4 (47 enodes) 1540196769.332 * * [misc]simplify: iters left: 3 (95 enodes) 1540196769.349 * * [misc]simplify: iters left: 2 (182 enodes) 1540196769.397 * * [misc]simplify: iters left: 1 (321 enodes) 1540196769.533 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196769.533 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196769.533 * * * * [misc]progress: [ 1029 / 6870 ] simplifiying candidate # 1540196769.533 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196769.534 * * [misc]simplify: iters left: 6 (20 enodes) 1540196769.537 * * [misc]simplify: iters left: 5 (32 enodes) 1540196769.541 * * [misc]simplify: iters left: 4 (52 enodes) 1540196769.550 * * [misc]simplify: iters left: 3 (98 enodes) 1540196769.568 * * [misc]simplify: iters left: 2 (212 enodes) 1540196769.633 * * [misc]simplify: iters left: 1 (480 enodes) 1540196769.988 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) 1540196769.988 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196769.988 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196769.988 * * [misc]simplify: iters left: 6 (19 enodes) 1540196769.991 * * [misc]simplify: iters left: 5 (28 enodes) 1540196769.995 * * [misc]simplify: iters left: 4 (47 enodes) 1540196770.002 * * [misc]simplify: iters left: 3 (95 enodes) 1540196770.036 * * [misc]simplify: iters left: 2 (182 enodes) 1540196770.087 * * [misc]simplify: iters left: 1 (321 enodes) 1540196770.210 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196770.210 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196770.210 * * * * [misc]progress: [ 1030 / 6870 ] simplifiying candidate # 1540196770.211 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196770.211 * * [misc]simplify: iters left: 6 (15 enodes) 1540196770.214 * * [misc]simplify: iters left: 5 (25 enodes) 1540196770.217 * * [misc]simplify: iters left: 4 (45 enodes) 1540196770.229 * * [misc]simplify: iters left: 3 (73 enodes) 1540196770.255 * * [misc]simplify: iters left: 2 (146 enodes) 1540196770.305 * * [misc]simplify: iters left: 1 (216 enodes) 1540196770.379 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196770.379 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196770.380 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196770.380 * * [misc]simplify: iters left: 6 (18 enodes) 1540196770.383 * * [misc]simplify: iters left: 5 (27 enodes) 1540196770.387 * * [misc]simplify: iters left: 4 (46 enodes) 1540196770.394 * * [misc]simplify: iters left: 3 (94 enodes) 1540196770.412 * * [misc]simplify: iters left: 2 (181 enodes) 1540196770.476 * * [misc]simplify: iters left: 1 (325 enodes) 1540196770.620 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196770.620 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196770.620 * * * * [misc]progress: [ 1031 / 6870 ] simplifiying candidate # 1540196770.621 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196770.621 * * [misc]simplify: iters left: 6 (13 enodes) 1540196770.624 * * [misc]simplify: iters left: 5 (24 enodes) 1540196770.627 * * [misc]simplify: iters left: 4 (38 enodes) 1540196770.633 * * [misc]simplify: iters left: 3 (74 enodes) 1540196770.645 * * [misc]simplify: iters left: 2 (104 enodes) 1540196770.661 * * [misc]simplify: iters left: 1 (125 enodes) 1540196770.678 * [exit]simplify: Simplified to (* (sqrt n) (* (sqrt PI) (sqrt 2))) 1540196770.678 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt n) (* (sqrt PI) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196770.678 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196770.679 * * [misc]simplify: iters left: 6 (15 enodes) 1540196770.681 * * [misc]simplify: iters left: 5 (23 enodes) 1540196770.685 * * [misc]simplify: iters left: 4 (40 enodes) 1540196770.692 * * [misc]simplify: iters left: 3 (85 enodes) 1540196770.707 * * [misc]simplify: iters left: 2 (150 enodes) 1540196770.740 * * [misc]simplify: iters left: 1 (234 enodes) 1540196770.820 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196770.820 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt n) (* (sqrt PI) (sqrt 2))) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196770.820 * * * * [misc]progress: [ 1032 / 6870 ] simplifiying candidate # 1540196770.820 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196770.821 * * [misc]simplify: iters left: 6 (13 enodes) 1540196770.826 * * [misc]simplify: iters left: 5 (24 enodes) 1540196770.833 * * [misc]simplify: iters left: 4 (38 enodes) 1540196770.845 * * [misc]simplify: iters left: 3 (74 enodes) 1540196770.859 * * [misc]simplify: iters left: 2 (104 enodes) 1540196770.875 * * [misc]simplify: iters left: 1 (125 enodes) 1540196770.891 * [exit]simplify: Simplified to (* (sqrt n) (* (sqrt PI) (sqrt 2))) 1540196770.891 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt n) (* (sqrt PI) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196770.892 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196770.892 * * [misc]simplify: iters left: 6 (15 enodes) 1540196770.894 * * [misc]simplify: iters left: 5 (23 enodes) 1540196770.897 * * [misc]simplify: iters left: 4 (40 enodes) 1540196770.904 * * [misc]simplify: iters left: 3 (85 enodes) 1540196770.922 * * [misc]simplify: iters left: 2 (150 enodes) 1540196770.960 * * [misc]simplify: iters left: 1 (234 enodes) 1540196771.028 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196771.028 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt n) (* (sqrt PI) (sqrt 2))) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196771.029 * * * * [misc]progress: [ 1033 / 6870 ] simplifiying candidate # 1540196771.029 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196771.029 * * [misc]simplify: iters left: 6 (18 enodes) 1540196771.035 * * [misc]simplify: iters left: 5 (32 enodes) 1540196771.045 * * [misc]simplify: iters left: 4 (55 enodes) 1540196771.063 * * [misc]simplify: iters left: 3 (122 enodes) 1540196771.116 * * [misc]simplify: iters left: 2 (241 enodes) 1540196771.192 * * [misc]simplify: iters left: 1 (394 enodes) 1540196771.820 * [exit]simplify: Simplified to (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196771.820 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196771.820 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196771.820 * * [misc]simplify: iters left: 6 (18 enodes) 1540196771.823 * * [misc]simplify: iters left: 5 (27 enodes) 1540196771.829 * * [misc]simplify: iters left: 4 (45 enodes) 1540196771.836 * * [misc]simplify: iters left: 3 (90 enodes) 1540196771.853 * * [misc]simplify: iters left: 2 (155 enodes) 1540196771.886 * * [misc]simplify: iters left: 1 (235 enodes) 1540196771.978 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196771.978 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196771.978 * * * * [misc]progress: [ 1034 / 6870 ] simplifiying candidate # 1540196771.978 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196771.978 * * [misc]simplify: iters left: 6 (17 enodes) 1540196771.981 * * [misc]simplify: iters left: 5 (29 enodes) 1540196771.985 * * [misc]simplify: iters left: 4 (46 enodes) 1540196771.997 * * [misc]simplify: iters left: 3 (82 enodes) 1540196772.013 * * [misc]simplify: iters left: 2 (112 enodes) 1540196772.032 * * [misc]simplify: iters left: 1 (139 enodes) 1540196772.059 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt n) (sqrt PI))) 1540196772.059 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt n) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196772.059 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196772.059 * * [misc]simplify: iters left: 6 (18 enodes) 1540196772.062 * * [misc]simplify: iters left: 5 (27 enodes) 1540196772.066 * * [misc]simplify: iters left: 4 (45 enodes) 1540196772.079 * * [misc]simplify: iters left: 3 (90 enodes) 1540196772.095 * * [misc]simplify: iters left: 2 (155 enodes) 1540196772.142 * * [misc]simplify: iters left: 1 (235 enodes) 1540196772.214 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196772.214 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt n) (sqrt PI))) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196772.214 * * * * [misc]progress: [ 1035 / 6870 ] simplifiying candidate # 1540196772.214 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 1)) 1540196772.214 * * [misc]simplify: iters left: 6 (11 enodes) 1540196772.217 * * [misc]simplify: iters left: 5 (19 enodes) 1540196772.219 * * [misc]simplify: iters left: 4 (25 enodes) 1540196772.222 * * [misc]simplify: iters left: 3 (27 enodes) 1540196772.224 * * [misc]simplify: iters left: 2 (28 enodes) 1540196772.226 * * [misc]simplify: iters left: 1 (29 enodes) 1540196772.228 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540196772.228 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt n) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196772.229 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196772.229 * * [misc]simplify: iters left: 6 (17 enodes) 1540196772.231 * * [misc]simplify: iters left: 5 (26 enodes) 1540196772.235 * * [misc]simplify: iters left: 4 (44 enodes) 1540196772.242 * * [misc]simplify: iters left: 3 (89 enodes) 1540196772.258 * * [misc]simplify: iters left: 2 (154 enodes) 1540196772.292 * * [misc]simplify: iters left: 1 (234 enodes) 1540196772.353 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540196772.353 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt n) (sqrt PI)) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))))) 1540196772.353 * * * * [misc]progress: [ 1036 / 6870 ] simplifiying candidate # 1540196772.354 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) 1) 1540196772.354 * * [misc]simplify: iters left: 6 (10 enodes) 1540196772.356 * * [misc]simplify: iters left: 5 (18 enodes) 1540196772.358 * * [misc]simplify: iters left: 4 (27 enodes) 1540196772.361 * * [misc]simplify: iters left: 3 (29 enodes) 1540196772.363 * * [misc]simplify: iters left: 2 (30 enodes) 1540196772.365 * * [misc]simplify: iters left: 1 (31 enodes) 1540196772.368 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540196772.368 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt n) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196772.368 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196772.368 * * [misc]simplify: iters left: 6 (17 enodes) 1540196772.371 * * [misc]simplify: iters left: 5 (26 enodes) 1540196772.375 * * [misc]simplify: iters left: 4 (44 enodes) 1540196772.381 * * [misc]simplify: iters left: 3 (89 enodes) 1540196772.397 * * [misc]simplify: iters left: 2 (154 enodes) 1540196772.432 * * [misc]simplify: iters left: 1 (234 enodes) 1540196772.488 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540196772.488 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt n) (sqrt PI)) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))))) 1540196772.488 * * * * [misc]progress: [ 1037 / 6870 ] simplifiying candidate # 1540196772.489 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (sqrt (sqrt k))) 1540196772.489 * * [misc]simplify: iters left: 6 (13 enodes) 1540196772.491 * * [misc]simplify: iters left: 5 (21 enodes) 1540196772.494 * * [misc]simplify: iters left: 4 (30 enodes) 1540196772.498 * * [misc]simplify: iters left: 3 (55 enodes) 1540196772.506 * * [misc]simplify: iters left: 2 (86 enodes) 1540196772.516 * * [misc]simplify: iters left: 1 (102 enodes) 1540196772.525 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540196772.525 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196772.525 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196772.526 * * [misc]simplify: iters left: 6 (18 enodes) 1540196772.528 * * [misc]simplify: iters left: 5 (29 enodes) 1540196772.532 * * [misc]simplify: iters left: 4 (46 enodes) 1540196772.542 * * [misc]simplify: iters left: 3 (98 enodes) 1540196772.564 * * [misc]simplify: iters left: 2 (205 enodes) 1540196772.650 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (/ (- k) 2)) (sqrt (sqrt k)))) 1540196772.650 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196772.650 * * * * [misc]progress: [ 1038 / 6870 ] simplifiying candidate # 1540196772.651 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196772.651 * * [misc]simplify: iters left: 6 (16 enodes) 1540196772.654 * * [misc]simplify: iters left: 5 (27 enodes) 1540196772.658 * * [misc]simplify: iters left: 4 (44 enodes) 1540196772.665 * * [misc]simplify: iters left: 3 (90 enodes) 1540196772.693 * * [misc]simplify: iters left: 2 (205 enodes) 1540196772.774 * * [misc]simplify: iters left: 1 (433 enodes) 1540196773.049 * [exit]simplify: Simplified to (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt 2)) 1540196773.049 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196773.049 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196773.050 * * [misc]simplify: iters left: 6 (14 enodes) 1540196773.052 * * [misc]simplify: iters left: 5 (20 enodes) 1540196773.054 * * [misc]simplify: iters left: 4 (30 enodes) 1540196773.059 * * [misc]simplify: iters left: 3 (45 enodes) 1540196773.065 * * [misc]simplify: iters left: 2 (62 enodes) 1540196773.074 * * [misc]simplify: iters left: 1 (79 enodes) 1540196773.085 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196773.085 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt 2)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196773.085 * * * * [misc]progress: [ 1039 / 6870 ] simplifiying candidate # 1540196773.086 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196773.086 * * [misc]simplify: iters left: 6 (20 enodes) 1540196773.089 * * [misc]simplify: iters left: 5 (32 enodes) 1540196773.096 * * [misc]simplify: iters left: 4 (52 enodes) 1540196773.114 * * [misc]simplify: iters left: 3 (90 enodes) 1540196773.129 * * [misc]simplify: iters left: 2 (177 enodes) 1540196773.200 * * [misc]simplify: iters left: 1 (324 enodes) 1540196773.270 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (sqrt PI))) 1540196773.270 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196773.270 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196773.271 * * [misc]simplify: iters left: 6 (18 enodes) 1540196773.273 * * [misc]simplify: iters left: 5 (25 enodes) 1540196773.278 * * [misc]simplify: iters left: 4 (36 enodes) 1540196773.282 * * [misc]simplify: iters left: 3 (51 enodes) 1540196773.289 * * [misc]simplify: iters left: 2 (68 enodes) 1540196773.298 * * [misc]simplify: iters left: 1 (85 enodes) 1540196773.310 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196773.310 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196773.310 * * * * [misc]progress: [ 1040 / 6870 ] simplifiying candidate # 1540196773.310 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196773.310 * * [misc]simplify: iters left: 6 (19 enodes) 1540196773.313 * * [misc]simplify: iters left: 5 (29 enodes) 1540196773.317 * * [misc]simplify: iters left: 4 (41 enodes) 1540196773.326 * * [misc]simplify: iters left: 3 (65 enodes) 1540196773.339 * * [misc]simplify: iters left: 2 (98 enodes) 1540196773.353 * * [misc]simplify: iters left: 1 (115 enodes) 1540196773.364 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196773.364 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196773.364 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196773.364 * * [misc]simplify: iters left: 6 (18 enodes) 1540196773.369 * * [misc]simplify: iters left: 5 (25 enodes) 1540196773.376 * * [misc]simplify: iters left: 4 (36 enodes) 1540196773.386 * * [misc]simplify: iters left: 3 (51 enodes) 1540196773.400 * * [misc]simplify: iters left: 2 (68 enodes) 1540196773.411 * * [misc]simplify: iters left: 1 (85 enodes) 1540196773.423 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196773.423 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196773.423 * * * * [misc]progress: [ 1041 / 6870 ] simplifiying candidate # 1540196773.423 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196773.423 * * [misc]simplify: iters left: 6 (18 enodes) 1540196773.427 * * [misc]simplify: iters left: 5 (31 enodes) 1540196773.432 * * [misc]simplify: iters left: 4 (58 enodes) 1540196773.445 * * [misc]simplify: iters left: 3 (155 enodes) 1540196773.513 * * [misc]simplify: iters left: 2 (443 enodes) 1540196773.951 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540196773.952 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196773.952 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196773.952 * * [misc]simplify: iters left: 6 (16 enodes) 1540196773.954 * * [misc]simplify: iters left: 5 (24 enodes) 1540196773.958 * * [misc]simplify: iters left: 4 (42 enodes) 1540196773.964 * * [misc]simplify: iters left: 3 (90 enodes) 1540196773.982 * * [misc]simplify: iters left: 2 (177 enodes) 1540196774.025 * * [misc]simplify: iters left: 1 (312 enodes) 1540196774.152 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540196774.152 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))))) 1540196774.153 * * * * [misc]progress: [ 1042 / 6870 ] simplifiying candidate # 1540196774.153 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196774.153 * * [misc]simplify: iters left: 6 (18 enodes) 1540196774.160 * * [misc]simplify: iters left: 5 (31 enodes) 1540196774.169 * * [misc]simplify: iters left: 4 (58 enodes) 1540196774.190 * * [misc]simplify: iters left: 3 (155 enodes) 1540196774.233 * * [misc]simplify: iters left: 2 (443 enodes) 1540196774.669 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540196774.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196774.670 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196774.670 * * [misc]simplify: iters left: 6 (16 enodes) 1540196774.672 * * [misc]simplify: iters left: 5 (24 enodes) 1540196774.675 * * [misc]simplify: iters left: 4 (42 enodes) 1540196774.682 * * [misc]simplify: iters left: 3 (90 enodes) 1540196774.699 * * [misc]simplify: iters left: 2 (177 enodes) 1540196774.747 * * [misc]simplify: iters left: 1 (312 enodes) 1540196774.890 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540196774.890 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))))) 1540196774.890 * * * * [misc]progress: [ 1043 / 6870 ] simplifiying candidate # 1540196774.890 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196774.891 * * [misc]simplify: iters left: 6 (22 enodes) 1540196774.897 * * [misc]simplify: iters left: 5 (40 enodes) 1540196774.903 * * [misc]simplify: iters left: 4 (90 enodes) 1540196774.922 * * [misc]simplify: iters left: 3 (254 enodes) 1540196775.065 * [exit]simplify: Simplified to (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196775.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196775.065 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196775.065 * * [misc]simplify: iters left: 6 (19 enodes) 1540196775.068 * * [misc]simplify: iters left: 5 (28 enodes) 1540196775.072 * * [misc]simplify: iters left: 4 (47 enodes) 1540196775.083 * * [misc]simplify: iters left: 3 (95 enodes) 1540196775.113 * * [misc]simplify: iters left: 2 (182 enodes) 1540196775.173 * * [misc]simplify: iters left: 1 (321 enodes) 1540196775.330 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196775.330 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196775.330 * * * * [misc]progress: [ 1044 / 6870 ] simplifiying candidate # 1540196775.330 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196775.330 * * [misc]simplify: iters left: 6 (21 enodes) 1540196775.338 * * [misc]simplify: iters left: 5 (35 enodes) 1540196775.343 * * [misc]simplify: iters left: 4 (65 enodes) 1540196775.357 * * [misc]simplify: iters left: 3 (162 enodes) 1540196775.396 * * [misc]simplify: iters left: 2 (458 enodes) 1540196775.757 * [exit]simplify: Simplified to (* (/ (* (sqrt n) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196775.757 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt n) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196775.757 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196775.757 * * [misc]simplify: iters left: 6 (19 enodes) 1540196775.760 * * [misc]simplify: iters left: 5 (28 enodes) 1540196775.765 * * [misc]simplify: iters left: 4 (47 enodes) 1540196775.772 * * [misc]simplify: iters left: 3 (95 enodes) 1540196775.790 * * [misc]simplify: iters left: 2 (182 enodes) 1540196775.837 * * [misc]simplify: iters left: 1 (321 enodes) 1540196775.982 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196775.982 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt n) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196775.982 * * * * [misc]progress: [ 1045 / 6870 ] simplifiying candidate # 1540196775.982 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196775.983 * * [misc]simplify: iters left: 6 (16 enodes) 1540196775.986 * * [misc]simplify: iters left: 5 (28 enodes) 1540196775.990 * * [misc]simplify: iters left: 4 (56 enodes) 1540196775.999 * * [misc]simplify: iters left: 3 (110 enodes) 1540196776.044 * * [misc]simplify: iters left: 2 (336 enodes) 1540196776.344 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196776.344 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196776.344 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196776.344 * * [misc]simplify: iters left: 6 (18 enodes) 1540196776.349 * * [misc]simplify: iters left: 5 (27 enodes) 1540196776.357 * * [misc]simplify: iters left: 4 (46 enodes) 1540196776.374 * * [misc]simplify: iters left: 3 (94 enodes) 1540196776.392 * * [misc]simplify: iters left: 2 (181 enodes) 1540196776.457 * * [misc]simplify: iters left: 1 (325 enodes) 1540196776.624 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196776.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196776.625 * * * * [misc]progress: [ 1046 / 6870 ] simplifiying candidate # 1540196776.625 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196776.625 * * [misc]simplify: iters left: 6 (18 enodes) 1540196776.629 * * [misc]simplify: iters left: 5 (30 enodes) 1540196776.633 * * [misc]simplify: iters left: 4 (47 enodes) 1540196776.643 * * [misc]simplify: iters left: 3 (93 enodes) 1540196776.667 * * [misc]simplify: iters left: 2 (205 enodes) 1540196776.723 * * [misc]simplify: iters left: 1 (345 enodes) 1540196776.857 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540196776.858 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196776.858 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196776.858 * * [misc]simplify: iters left: 6 (17 enodes) 1540196776.860 * * [misc]simplify: iters left: 5 (25 enodes) 1540196776.864 * * [misc]simplify: iters left: 4 (43 enodes) 1540196776.870 * * [misc]simplify: iters left: 3 (91 enodes) 1540196776.888 * * [misc]simplify: iters left: 2 (178 enodes) 1540196776.950 * * [misc]simplify: iters left: 1 (316 enodes) 1540196777.056 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540196777.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))))) 1540196777.057 * * * * [misc]progress: [ 1047 / 6870 ] simplifiying candidate # 1540196777.057 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196777.057 * * [misc]simplify: iters left: 6 (18 enodes) 1540196777.060 * * [misc]simplify: iters left: 5 (30 enodes) 1540196777.065 * * [misc]simplify: iters left: 4 (47 enodes) 1540196777.073 * * [misc]simplify: iters left: 3 (93 enodes) 1540196777.093 * * [misc]simplify: iters left: 2 (205 enodes) 1540196777.163 * * [misc]simplify: iters left: 1 (345 enodes) 1540196777.280 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540196777.280 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196777.280 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196777.280 * * [misc]simplify: iters left: 6 (17 enodes) 1540196777.285 * * [misc]simplify: iters left: 5 (25 enodes) 1540196777.292 * * [misc]simplify: iters left: 4 (43 enodes) 1540196777.299 * * [misc]simplify: iters left: 3 (91 enodes) 1540196777.316 * * [misc]simplify: iters left: 2 (178 enodes) 1540196777.377 * * [misc]simplify: iters left: 1 (316 enodes) 1540196777.525 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540196777.525 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))))) 1540196777.525 * * * * [misc]progress: [ 1048 / 6870 ] simplifiying candidate # 1540196777.526 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196777.526 * * [misc]simplify: iters left: 6 (22 enodes) 1540196777.533 * * [misc]simplify: iters left: 5 (37 enodes) 1540196777.542 * * [misc]simplify: iters left: 4 (63 enodes) 1540196777.563 * * [misc]simplify: iters left: 3 (136 enodes) 1540196777.621 * * [misc]simplify: iters left: 2 (333 enodes) 1540196777.780 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n))) 1540196777.780 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196777.780 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196777.780 * * [misc]simplify: iters left: 6 (20 enodes) 1540196777.783 * * [misc]simplify: iters left: 5 (29 enodes) 1540196777.787 * * [misc]simplify: iters left: 4 (48 enodes) 1540196777.794 * * [misc]simplify: iters left: 3 (96 enodes) 1540196777.812 * * [misc]simplify: iters left: 2 (183 enodes) 1540196777.856 * * [misc]simplify: iters left: 1 (326 enodes) 1540196778.024 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))) 1540196778.024 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))))) 1540196778.024 * * * * [misc]progress: [ 1049 / 6870 ] simplifiying candidate # 1540196778.024 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196778.024 * * [misc]simplify: iters left: 6 (21 enodes) 1540196778.028 * * [misc]simplify: iters left: 5 (34 enodes) 1540196778.032 * * [misc]simplify: iters left: 4 (54 enodes) 1540196778.041 * * [misc]simplify: iters left: 3 (100 enodes) 1540196778.061 * * [misc]simplify: iters left: 2 (209 enodes) 1540196778.134 * * [misc]simplify: iters left: 1 (391 enodes) 1540196778.342 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt n) (sqrt PI)))) 1540196778.342 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt n) (sqrt PI)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196778.342 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196778.342 * * [misc]simplify: iters left: 6 (20 enodes) 1540196778.345 * * [misc]simplify: iters left: 5 (29 enodes) 1540196778.349 * * [misc]simplify: iters left: 4 (48 enodes) 1540196778.357 * * [misc]simplify: iters left: 3 (96 enodes) 1540196778.377 * * [misc]simplify: iters left: 2 (183 enodes) 1540196778.427 * * [misc]simplify: iters left: 1 (326 enodes) 1540196778.561 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))) 1540196778.561 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt n) (sqrt PI)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))))) 1540196778.561 * * * * [misc]progress: [ 1050 / 6870 ] simplifiying candidate # 1540196778.561 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196778.561 * * [misc]simplify: iters left: 6 (16 enodes) 1540196778.565 * * [misc]simplify: iters left: 5 (26 enodes) 1540196778.572 * * [misc]simplify: iters left: 4 (40 enodes) 1540196778.585 * * [misc]simplify: iters left: 3 (73 enodes) 1540196778.604 * * [misc]simplify: iters left: 2 (153 enodes) 1540196778.652 * * [misc]simplify: iters left: 1 (235 enodes) 1540196778.714 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540196778.714 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196778.714 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196778.714 * * [misc]simplify: iters left: 6 (19 enodes) 1540196778.720 * * [misc]simplify: iters left: 5 (28 enodes) 1540196778.728 * * [misc]simplify: iters left: 4 (47 enodes) 1540196778.739 * * [misc]simplify: iters left: 3 (95 enodes) 1540196778.756 * * [misc]simplify: iters left: 2 (182 enodes) 1540196778.825 * * [misc]simplify: iters left: 1 (320 enodes) 1540196778.952 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2))))) 1540196778.952 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2))))))) 1540196778.952 * * * * [misc]progress: [ 1051 / 6870 ] simplifiying candidate # 1540196778.952 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196778.953 * * [misc]simplify: iters left: 6 (17 enodes) 1540196778.956 * * [misc]simplify: iters left: 5 (28 enodes) 1540196778.960 * * [misc]simplify: iters left: 4 (45 enodes) 1540196778.972 * * [misc]simplify: iters left: 3 (91 enodes) 1540196778.997 * * [misc]simplify: iters left: 2 (206 enodes) 1540196779.062 * * [misc]simplify: iters left: 1 (424 enodes) 1540196779.330 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196779.330 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196779.330 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196779.330 * * [misc]simplify: iters left: 6 (16 enodes) 1540196779.332 * * [misc]simplify: iters left: 5 (24 enodes) 1540196779.335 * * [misc]simplify: iters left: 4 (42 enodes) 1540196779.342 * * [misc]simplify: iters left: 3 (90 enodes) 1540196779.359 * * [misc]simplify: iters left: 2 (177 enodes) 1540196779.400 * * [misc]simplify: iters left: 1 (312 enodes) 1540196779.540 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196779.540 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196779.540 * * * * [misc]progress: [ 1052 / 6870 ] simplifiying candidate # 1540196779.540 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196779.540 * * [misc]simplify: iters left: 6 (17 enodes) 1540196779.544 * * [misc]simplify: iters left: 5 (28 enodes) 1540196779.548 * * [misc]simplify: iters left: 4 (45 enodes) 1540196779.555 * * [misc]simplify: iters left: 3 (91 enodes) 1540196779.574 * * [misc]simplify: iters left: 2 (206 enodes) 1540196779.637 * * [misc]simplify: iters left: 1 (424 enodes) 1540196779.917 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196779.917 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196779.918 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196779.918 * * [misc]simplify: iters left: 6 (16 enodes) 1540196779.923 * * [misc]simplify: iters left: 5 (24 enodes) 1540196779.926 * * [misc]simplify: iters left: 4 (42 enodes) 1540196779.933 * * [misc]simplify: iters left: 3 (90 enodes) 1540196779.952 * * [misc]simplify: iters left: 2 (177 enodes) 1540196779.996 * * [misc]simplify: iters left: 1 (312 enodes) 1540196780.129 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196780.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196780.129 * * * * [misc]progress: [ 1053 / 6870 ] simplifiying candidate # 1540196780.129 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196780.129 * * [misc]simplify: iters left: 6 (21 enodes) 1540196780.134 * * [misc]simplify: iters left: 5 (35 enodes) 1540196780.139 * * [misc]simplify: iters left: 4 (61 enodes) 1540196780.149 * * [misc]simplify: iters left: 3 (134 enodes) 1540196780.192 * * [misc]simplify: iters left: 2 (338 enodes) 1540196780.359 * [exit]simplify: Simplified to (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196780.359 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196780.359 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196780.360 * * [misc]simplify: iters left: 6 (19 enodes) 1540196780.362 * * [misc]simplify: iters left: 5 (28 enodes) 1540196780.369 * * [misc]simplify: iters left: 4 (47 enodes) 1540196780.376 * * [misc]simplify: iters left: 3 (95 enodes) 1540196780.408 * * [misc]simplify: iters left: 2 (182 enodes) 1540196780.456 * * [misc]simplify: iters left: 1 (321 enodes) 1540196780.584 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196780.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196780.584 * * * * [misc]progress: [ 1054 / 6870 ] simplifiying candidate # 1540196780.584 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196780.584 * * [misc]simplify: iters left: 6 (20 enodes) 1540196780.587 * * [misc]simplify: iters left: 5 (32 enodes) 1540196780.591 * * [misc]simplify: iters left: 4 (52 enodes) 1540196780.601 * * [misc]simplify: iters left: 3 (98 enodes) 1540196780.622 * * [misc]simplify: iters left: 2 (212 enodes) 1540196780.680 * * [misc]simplify: iters left: 1 (480 enodes) 1540196781.036 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) 1540196781.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196781.036 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196781.036 * * [misc]simplify: iters left: 6 (19 enodes) 1540196781.039 * * [misc]simplify: iters left: 5 (28 enodes) 1540196781.043 * * [misc]simplify: iters left: 4 (47 enodes) 1540196781.051 * * [misc]simplify: iters left: 3 (95 enodes) 1540196781.079 * * [misc]simplify: iters left: 2 (182 enodes) 1540196781.139 * * [misc]simplify: iters left: 1 (321 enodes) 1540196781.272 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196781.272 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196781.272 * * * * [misc]progress: [ 1055 / 6870 ] simplifiying candidate # 1540196781.273 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196781.273 * * [misc]simplify: iters left: 6 (15 enodes) 1540196781.275 * * [misc]simplify: iters left: 5 (25 enodes) 1540196781.279 * * [misc]simplify: iters left: 4 (45 enodes) 1540196781.286 * * [misc]simplify: iters left: 3 (73 enodes) 1540196781.299 * * [misc]simplify: iters left: 2 (146 enodes) 1540196781.337 * * [misc]simplify: iters left: 1 (216 enodes) 1540196781.411 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196781.411 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196781.412 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196781.412 * * [misc]simplify: iters left: 6 (18 enodes) 1540196781.414 * * [misc]simplify: iters left: 5 (27 enodes) 1540196781.418 * * [misc]simplify: iters left: 4 (46 enodes) 1540196781.425 * * [misc]simplify: iters left: 3 (94 enodes) 1540196781.450 * * [misc]simplify: iters left: 2 (181 enodes) 1540196781.516 * * [misc]simplify: iters left: 1 (325 enodes) 1540196781.677 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196781.677 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196781.677 * * * * [misc]progress: [ 1056 / 6870 ] simplifiying candidate # 1540196781.678 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196781.678 * * [misc]simplify: iters left: 6 (13 enodes) 1540196781.681 * * [misc]simplify: iters left: 5 (24 enodes) 1540196781.685 * * [misc]simplify: iters left: 4 (43 enodes) 1540196781.694 * * [misc]simplify: iters left: 3 (99 enodes) 1540196781.713 * * [misc]simplify: iters left: 2 (142 enodes) 1540196781.740 * * [misc]simplify: iters left: 1 (166 enodes) 1540196781.767 * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt n)) (sqrt PI)) 1540196781.767 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196781.767 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196781.767 * * [misc]simplify: iters left: 6 (15 enodes) 1540196781.772 * * [misc]simplify: iters left: 5 (23 enodes) 1540196781.775 * * [misc]simplify: iters left: 4 (40 enodes) 1540196781.781 * * [misc]simplify: iters left: 3 (85 enodes) 1540196781.797 * * [misc]simplify: iters left: 2 (150 enodes) 1540196781.839 * * [misc]simplify: iters left: 1 (234 enodes) 1540196781.907 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196781.907 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196781.907 * * * * [misc]progress: [ 1057 / 6870 ] simplifiying candidate # 1540196781.907 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196781.907 * * [misc]simplify: iters left: 6 (13 enodes) 1540196781.910 * * [misc]simplify: iters left: 5 (24 enodes) 1540196781.914 * * [misc]simplify: iters left: 4 (43 enodes) 1540196781.923 * * [misc]simplify: iters left: 3 (99 enodes) 1540196781.941 * * [misc]simplify: iters left: 2 (142 enodes) 1540196781.967 * * [misc]simplify: iters left: 1 (166 enodes) 1540196781.990 * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt n)) (sqrt PI)) 1540196781.990 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196781.990 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196781.990 * * [misc]simplify: iters left: 6 (15 enodes) 1540196781.995 * * [misc]simplify: iters left: 5 (23 enodes) 1540196782.002 * * [misc]simplify: iters left: 4 (40 enodes) 1540196782.009 * * [misc]simplify: iters left: 3 (85 enodes) 1540196782.025 * * [misc]simplify: iters left: 2 (150 enodes) 1540196782.067 * * [misc]simplify: iters left: 1 (234 enodes) 1540196782.143 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196782.143 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196782.143 * * * * [misc]progress: [ 1058 / 6870 ] simplifiying candidate # 1540196782.143 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196782.143 * * [misc]simplify: iters left: 6 (18 enodes) 1540196782.147 * * [misc]simplify: iters left: 5 (32 enodes) 1540196782.157 * * [misc]simplify: iters left: 4 (61 enodes) 1540196782.181 * * [misc]simplify: iters left: 3 (155 enodes) 1540196782.222 * * [misc]simplify: iters left: 2 (342 enodes) 1540196782.352 * [exit]simplify: Simplified to (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196782.352 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196782.353 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196782.353 * * [misc]simplify: iters left: 6 (18 enodes) 1540196782.355 * * [misc]simplify: iters left: 5 (27 enodes) 1540196782.359 * * [misc]simplify: iters left: 4 (45 enodes) 1540196782.366 * * [misc]simplify: iters left: 3 (90 enodes) 1540196782.392 * * [misc]simplify: iters left: 2 (155 enodes) 1540196782.424 * * [misc]simplify: iters left: 1 (235 enodes) 1540196782.482 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196782.482 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196782.482 * * * * [misc]progress: [ 1059 / 6870 ] simplifiying candidate # 1540196782.482 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196782.482 * * [misc]simplify: iters left: 6 (17 enodes) 1540196782.488 * * [misc]simplify: iters left: 5 (29 enodes) 1540196782.495 * * [misc]simplify: iters left: 4 (51 enodes) 1540196782.504 * * [misc]simplify: iters left: 3 (111 enodes) 1540196782.523 * * [misc]simplify: iters left: 2 (206 enodes) 1540196782.574 * * [misc]simplify: iters left: 1 (294 enodes) 1540196782.630 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196782.630 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196782.631 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196782.631 * * [misc]simplify: iters left: 6 (18 enodes) 1540196782.633 * * [misc]simplify: iters left: 5 (27 enodes) 1540196782.637 * * [misc]simplify: iters left: 4 (45 enodes) 1540196782.644 * * [misc]simplify: iters left: 3 (90 enodes) 1540196782.660 * * [misc]simplify: iters left: 2 (155 enodes) 1540196782.707 * * [misc]simplify: iters left: 1 (235 enodes) 1540196782.776 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196782.776 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196782.776 * * * * [misc]progress: [ 1060 / 6870 ] simplifiying candidate # 1540196782.776 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196782.776 * * [misc]simplify: iters left: 6 (11 enodes) 1540196782.779 * * [misc]simplify: iters left: 5 (21 enodes) 1540196782.782 * * [misc]simplify: iters left: 4 (28 enodes) 1540196782.786 * * [misc]simplify: iters left: 3 (33 enodes) 1540196782.789 * * [misc]simplify: iters left: 2 (41 enodes) 1540196782.795 * * [misc]simplify: iters left: 1 (57 enodes) 1540196782.807 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540196782.807 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt n) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196782.807 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196782.808 * * [misc]simplify: iters left: 6 (17 enodes) 1540196782.812 * * [misc]simplify: iters left: 5 (26 enodes) 1540196782.819 * * [misc]simplify: iters left: 4 (44 enodes) 1540196782.832 * * [misc]simplify: iters left: 3 (89 enodes) 1540196782.857 * * [misc]simplify: iters left: 2 (154 enodes) 1540196782.890 * * [misc]simplify: iters left: 1 (234 enodes) 1540196782.950 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540196782.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt n) (sqrt PI)) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))))) 1540196782.950 * * * * [misc]progress: [ 1061 / 6870 ] simplifiying candidate # 1540196782.950 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196782.951 * * [misc]simplify: iters left: 6 (17 enodes) 1540196782.954 * * [misc]simplify: iters left: 5 (28 enodes) 1540196782.959 * * [misc]simplify: iters left: 4 (45 enodes) 1540196782.966 * * [misc]simplify: iters left: 3 (91 enodes) 1540196782.989 * * [misc]simplify: iters left: 2 (206 enodes) 1540196783.054 * * [misc]simplify: iters left: 1 (424 enodes) 1540196783.357 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196783.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196783.358 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196783.358 * * [misc]simplify: iters left: 6 (16 enodes) 1540196783.360 * * [misc]simplify: iters left: 5 (24 enodes) 1540196783.364 * * [misc]simplify: iters left: 4 (42 enodes) 1540196783.374 * * [misc]simplify: iters left: 3 (90 enodes) 1540196783.392 * * [misc]simplify: iters left: 2 (177 enodes) 1540196783.434 * * [misc]simplify: iters left: 1 (312 enodes) 1540196783.569 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196783.569 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196783.569 * * * * [misc]progress: [ 1062 / 6870 ] simplifiying candidate # 1540196783.570 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196783.570 * * [misc]simplify: iters left: 6 (17 enodes) 1540196783.573 * * [misc]simplify: iters left: 5 (28 enodes) 1540196783.577 * * [misc]simplify: iters left: 4 (45 enodes) 1540196783.589 * * [misc]simplify: iters left: 3 (91 enodes) 1540196783.607 * * [misc]simplify: iters left: 2 (206 enodes) 1540196783.701 * * [misc]simplify: iters left: 1 (424 enodes) 1540196783.991 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196783.991 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196783.991 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196783.991 * * [misc]simplify: iters left: 6 (16 enodes) 1540196783.993 * * [misc]simplify: iters left: 5 (24 enodes) 1540196783.997 * * [misc]simplify: iters left: 4 (42 enodes) 1540196784.003 * * [misc]simplify: iters left: 3 (90 enodes) 1540196784.020 * * [misc]simplify: iters left: 2 (177 enodes) 1540196784.061 * * [misc]simplify: iters left: 1 (312 enodes) 1540196784.187 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196784.187 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196784.187 * * * * [misc]progress: [ 1063 / 6870 ] simplifiying candidate # 1540196784.187 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196784.187 * * [misc]simplify: iters left: 6 (21 enodes) 1540196784.191 * * [misc]simplify: iters left: 5 (35 enodes) 1540196784.196 * * [misc]simplify: iters left: 4 (61 enodes) 1540196784.206 * * [misc]simplify: iters left: 3 (134 enodes) 1540196784.236 * * [misc]simplify: iters left: 2 (338 enodes) 1540196784.412 * [exit]simplify: Simplified to (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196784.412 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196784.412 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196784.413 * * [misc]simplify: iters left: 6 (19 enodes) 1540196784.418 * * [misc]simplify: iters left: 5 (28 enodes) 1540196784.426 * * [misc]simplify: iters left: 4 (47 enodes) 1540196784.441 * * [misc]simplify: iters left: 3 (95 enodes) 1540196784.469 * * [misc]simplify: iters left: 2 (182 enodes) 1540196784.517 * * [misc]simplify: iters left: 1 (321 enodes) 1540196784.690 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196784.690 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196784.691 * * * * [misc]progress: [ 1064 / 6870 ] simplifiying candidate # 1540196784.691 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196784.691 * * [misc]simplify: iters left: 6 (20 enodes) 1540196784.694 * * [misc]simplify: iters left: 5 (32 enodes) 1540196784.699 * * [misc]simplify: iters left: 4 (52 enodes) 1540196784.707 * * [misc]simplify: iters left: 3 (98 enodes) 1540196784.735 * * [misc]simplify: iters left: 2 (212 enodes) 1540196784.807 * * [misc]simplify: iters left: 1 (480 enodes) 1540196785.125 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) 1540196785.125 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196785.125 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196785.125 * * [misc]simplify: iters left: 6 (19 enodes) 1540196785.128 * * [misc]simplify: iters left: 5 (28 enodes) 1540196785.132 * * [misc]simplify: iters left: 4 (47 enodes) 1540196785.144 * * [misc]simplify: iters left: 3 (95 enodes) 1540196785.165 * * [misc]simplify: iters left: 2 (182 enodes) 1540196785.214 * * [misc]simplify: iters left: 1 (321 enodes) 1540196785.356 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196785.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt n) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196785.356 * * * * [misc]progress: [ 1065 / 6870 ] simplifiying candidate # 1540196785.357 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196785.357 * * [misc]simplify: iters left: 6 (15 enodes) 1540196785.359 * * [misc]simplify: iters left: 5 (25 enodes) 1540196785.364 * * [misc]simplify: iters left: 4 (45 enodes) 1540196785.370 * * [misc]simplify: iters left: 3 (73 enodes) 1540196785.384 * * [misc]simplify: iters left: 2 (146 enodes) 1540196785.426 * * [misc]simplify: iters left: 1 (216 enodes) 1540196785.521 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196785.522 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196785.522 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196785.522 * * [misc]simplify: iters left: 6 (18 enodes) 1540196785.525 * * [misc]simplify: iters left: 5 (27 enodes) 1540196785.529 * * [misc]simplify: iters left: 4 (46 enodes) 1540196785.536 * * [misc]simplify: iters left: 3 (94 enodes) 1540196785.554 * * [misc]simplify: iters left: 2 (181 enodes) 1540196785.614 * * [misc]simplify: iters left: 1 (325 enodes) 1540196785.768 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196785.768 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196785.768 * * * * [misc]progress: [ 1066 / 6870 ] simplifiying candidate # 1540196785.768 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196785.768 * * [misc]simplify: iters left: 6 (13 enodes) 1540196785.771 * * [misc]simplify: iters left: 5 (24 enodes) 1540196785.775 * * [misc]simplify: iters left: 4 (38 enodes) 1540196785.781 * * [misc]simplify: iters left: 3 (74 enodes) 1540196785.795 * * [misc]simplify: iters left: 2 (104 enodes) 1540196785.823 * * [misc]simplify: iters left: 1 (125 enodes) 1540196785.841 * [exit]simplify: Simplified to (* (sqrt n) (* (sqrt PI) (sqrt 2))) 1540196785.841 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt n) (* (sqrt PI) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196785.842 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196785.842 * * [misc]simplify: iters left: 6 (15 enodes) 1540196785.844 * * [misc]simplify: iters left: 5 (23 enodes) 1540196785.847 * * [misc]simplify: iters left: 4 (40 enodes) 1540196785.854 * * [misc]simplify: iters left: 3 (85 enodes) 1540196785.869 * * [misc]simplify: iters left: 2 (150 enodes) 1540196785.908 * * [misc]simplify: iters left: 1 (234 enodes) 1540196785.965 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196785.965 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt n) (* (sqrt PI) (sqrt 2))) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196785.965 * * * * [misc]progress: [ 1067 / 6870 ] simplifiying candidate # 1540196785.965 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196785.965 * * [misc]simplify: iters left: 6 (13 enodes) 1540196785.968 * * [misc]simplify: iters left: 5 (24 enodes) 1540196785.972 * * [misc]simplify: iters left: 4 (38 enodes) 1540196785.978 * * [misc]simplify: iters left: 3 (74 enodes) 1540196785.990 * * [misc]simplify: iters left: 2 (104 enodes) 1540196786.014 * * [misc]simplify: iters left: 1 (125 enodes) 1540196786.031 * [exit]simplify: Simplified to (* (sqrt n) (* (sqrt PI) (sqrt 2))) 1540196786.031 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt n) (* (sqrt PI) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196786.031 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196786.032 * * [misc]simplify: iters left: 6 (15 enodes) 1540196786.036 * * [misc]simplify: iters left: 5 (23 enodes) 1540196786.043 * * [misc]simplify: iters left: 4 (40 enodes) 1540196786.054 * * [misc]simplify: iters left: 3 (85 enodes) 1540196786.070 * * [misc]simplify: iters left: 2 (150 enodes) 1540196786.115 * * [misc]simplify: iters left: 1 (234 enodes) 1540196786.175 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196786.175 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt n) (* (sqrt PI) (sqrt 2))) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196786.175 * * * * [misc]progress: [ 1068 / 6870 ] simplifiying candidate # 1540196786.175 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196786.175 * * [misc]simplify: iters left: 6 (18 enodes) 1540196786.178 * * [misc]simplify: iters left: 5 (32 enodes) 1540196786.183 * * [misc]simplify: iters left: 4 (55 enodes) 1540196786.192 * * [misc]simplify: iters left: 3 (122 enodes) 1540196786.220 * * [misc]simplify: iters left: 2 (241 enodes) 1540196786.298 * * [misc]simplify: iters left: 1 (394 enodes) 1540196786.549 * [exit]simplify: Simplified to (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196786.550 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196786.550 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196786.550 * * [misc]simplify: iters left: 6 (18 enodes) 1540196786.553 * * [misc]simplify: iters left: 5 (27 enodes) 1540196786.558 * * [misc]simplify: iters left: 4 (45 enodes) 1540196786.571 * * [misc]simplify: iters left: 3 (90 enodes) 1540196786.592 * * [misc]simplify: iters left: 2 (155 enodes) 1540196786.632 * * [misc]simplify: iters left: 1 (235 enodes) 1540196786.712 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196786.713 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (sqrt n) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196786.713 * * * * [misc]progress: [ 1069 / 6870 ] simplifiying candidate # 1540196786.713 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196786.713 * * [misc]simplify: iters left: 6 (17 enodes) 1540196786.716 * * [misc]simplify: iters left: 5 (29 enodes) 1540196786.721 * * [misc]simplify: iters left: 4 (46 enodes) 1540196786.734 * * [misc]simplify: iters left: 3 (82 enodes) 1540196786.749 * * [misc]simplify: iters left: 2 (112 enodes) 1540196786.764 * * [misc]simplify: iters left: 1 (139 enodes) 1540196786.795 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt n) (sqrt PI))) 1540196786.795 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt n) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196786.795 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196786.795 * * [misc]simplify: iters left: 6 (18 enodes) 1540196786.798 * * [misc]simplify: iters left: 5 (27 enodes) 1540196786.802 * * [misc]simplify: iters left: 4 (45 enodes) 1540196786.809 * * [misc]simplify: iters left: 3 (90 enodes) 1540196786.826 * * [misc]simplify: iters left: 2 (155 enodes) 1540196786.859 * * [misc]simplify: iters left: 1 (235 enodes) 1540196786.937 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196786.937 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt n) (sqrt PI))) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196786.937 * * * * [misc]progress: [ 1070 / 6870 ] simplifiying candidate # 1540196786.937 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ 1 1)) 1540196786.937 * * [misc]simplify: iters left: 6 (11 enodes) 1540196786.940 * * [misc]simplify: iters left: 5 (19 enodes) 1540196786.942 * * [misc]simplify: iters left: 4 (25 enodes) 1540196786.945 * * [misc]simplify: iters left: 3 (27 enodes) 1540196786.947 * * [misc]simplify: iters left: 2 (28 enodes) 1540196786.949 * * [misc]simplify: iters left: 1 (29 enodes) 1540196786.952 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540196786.952 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt n) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196786.952 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196786.952 * * [misc]simplify: iters left: 6 (17 enodes) 1540196786.954 * * [misc]simplify: iters left: 5 (26 enodes) 1540196786.958 * * [misc]simplify: iters left: 4 (44 enodes) 1540196786.965 * * [misc]simplify: iters left: 3 (89 enodes) 1540196786.988 * * [misc]simplify: iters left: 2 (154 enodes) 1540196787.022 * * [misc]simplify: iters left: 1 (234 enodes) 1540196787.085 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540196787.085 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt n) (sqrt PI)) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))))) 1540196787.085 * * * * [misc]progress: [ 1071 / 6870 ] simplifiying candidate # 1540196787.085 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) 1) 1540196787.085 * * [misc]simplify: iters left: 6 (10 enodes) 1540196787.087 * * [misc]simplify: iters left: 5 (18 enodes) 1540196787.090 * * [misc]simplify: iters left: 4 (27 enodes) 1540196787.092 * * [misc]simplify: iters left: 3 (29 enodes) 1540196787.094 * * [misc]simplify: iters left: 2 (30 enodes) 1540196787.096 * * [misc]simplify: iters left: 1 (31 enodes) 1540196787.099 * [exit]simplify: Simplified to (* (sqrt n) (sqrt PI)) 1540196787.099 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt n) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196787.099 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196787.099 * * [misc]simplify: iters left: 6 (17 enodes) 1540196787.102 * * [misc]simplify: iters left: 5 (26 enodes) 1540196787.105 * * [misc]simplify: iters left: 4 (44 enodes) 1540196787.112 * * [misc]simplify: iters left: 3 (89 enodes) 1540196787.139 * * [misc]simplify: iters left: 2 (154 enodes) 1540196787.186 * * [misc]simplify: iters left: 1 (234 enodes) 1540196787.243 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540196787.243 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt n) (sqrt PI)) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))))) 1540196787.243 * * * * [misc]progress: [ 1072 / 6870 ] simplifiying candidate # 1540196787.243 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (sqrt (sqrt k))) 1540196787.243 * * [misc]simplify: iters left: 6 (13 enodes) 1540196787.246 * * [misc]simplify: iters left: 5 (21 enodes) 1540196787.249 * * [misc]simplify: iters left: 4 (30 enodes) 1540196787.258 * * [misc]simplify: iters left: 3 (55 enodes) 1540196787.272 * * [misc]simplify: iters left: 2 (86 enodes) 1540196787.282 * * [misc]simplify: iters left: 1 (102 enodes) 1540196787.293 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540196787.293 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196787.294 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196787.294 * * [misc]simplify: iters left: 6 (18 enodes) 1540196787.296 * * [misc]simplify: iters left: 5 (29 enodes) 1540196787.302 * * [misc]simplify: iters left: 4 (46 enodes) 1540196787.317 * * [misc]simplify: iters left: 3 (98 enodes) 1540196787.352 * * [misc]simplify: iters left: 2 (205 enodes) 1540196787.429 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (/ (- k) 2)) (sqrt (sqrt k)))) 1540196787.429 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196787.429 * * * * [misc]progress: [ 1073 / 6870 ] simplifiying candidate # 1540196787.429 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196787.429 * * [misc]simplify: iters left: 6 (16 enodes) 1540196787.436 * * [misc]simplify: iters left: 5 (27 enodes) 1540196787.444 * * [misc]simplify: iters left: 4 (44 enodes) 1540196787.455 * * [misc]simplify: iters left: 3 (90 enodes) 1540196787.477 * * [misc]simplify: iters left: 2 (205 enodes) 1540196787.551 * * [misc]simplify: iters left: 1 (433 enodes) 1540196787.800 * [exit]simplify: Simplified to (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt 2)) 1540196787.800 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196787.800 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196787.800 * * [misc]simplify: iters left: 6 (14 enodes) 1540196787.802 * * [misc]simplify: iters left: 5 (20 enodes) 1540196787.805 * * [misc]simplify: iters left: 4 (30 enodes) 1540196787.809 * * [misc]simplify: iters left: 3 (45 enodes) 1540196787.816 * * [misc]simplify: iters left: 2 (62 enodes) 1540196787.831 * * [misc]simplify: iters left: 1 (79 enodes) 1540196787.853 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196787.853 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt 2)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196787.853 * * * * [misc]progress: [ 1074 / 6870 ] simplifiying candidate # 1540196787.854 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196787.854 * * [misc]simplify: iters left: 6 (22 enodes) 1540196787.860 * * [misc]simplify: iters left: 5 (35 enodes) 1540196787.865 * * [misc]simplify: iters left: 4 (60 enodes) 1540196787.875 * * [misc]simplify: iters left: 3 (128 enodes) 1540196787.906 * * [misc]simplify: iters left: 2 (326 enodes) 1540196788.111 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196788.111 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196788.111 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196788.111 * * [misc]simplify: iters left: 6 (19 enodes) 1540196788.114 * * [misc]simplify: iters left: 5 (26 enodes) 1540196788.117 * * [misc]simplify: iters left: 4 (37 enodes) 1540196788.122 * * [misc]simplify: iters left: 3 (52 enodes) 1540196788.133 * * [misc]simplify: iters left: 2 (69 enodes) 1540196788.150 * * [misc]simplify: iters left: 1 (86 enodes) 1540196788.161 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196788.161 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196788.161 * * * * [misc]progress: [ 1075 / 6870 ] simplifiying candidate # 1540196788.162 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196788.162 * * [misc]simplify: iters left: 6 (21 enodes) 1540196788.165 * * [misc]simplify: iters left: 5 (32 enodes) 1540196788.171 * * [misc]simplify: iters left: 4 (49 enodes) 1540196788.178 * * [misc]simplify: iters left: 3 (101 enodes) 1540196788.200 * * [misc]simplify: iters left: 2 (204 enodes) 1540196788.256 * * [misc]simplify: iters left: 1 (365 enodes) 1540196788.368 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196788.368 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196788.368 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196788.368 * * [misc]simplify: iters left: 6 (19 enodes) 1540196788.371 * * [misc]simplify: iters left: 5 (26 enodes) 1540196788.374 * * [misc]simplify: iters left: 4 (37 enodes) 1540196788.379 * * [misc]simplify: iters left: 3 (52 enodes) 1540196788.394 * * [misc]simplify: iters left: 2 (69 enodes) 1540196788.415 * * [misc]simplify: iters left: 1 (86 enodes) 1540196788.427 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196788.427 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196788.427 * * * * [misc]progress: [ 1076 / 6870 ] simplifiying candidate # 1540196788.428 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196788.428 * * [misc]simplify: iters left: 6 (22 enodes) 1540196788.432 * * [misc]simplify: iters left: 5 (38 enodes) 1540196788.438 * * [misc]simplify: iters left: 4 (73 enodes) 1540196788.454 * * [misc]simplify: iters left: 3 (218 enodes) 1540196788.536 * [exit]simplify: Simplified to (* (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196788.536 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196788.537 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196788.537 * * [misc]simplify: iters left: 6 (19 enodes) 1540196788.543 * * [misc]simplify: iters left: 5 (28 enodes) 1540196788.551 * * [misc]simplify: iters left: 4 (47 enodes) 1540196788.566 * * [misc]simplify: iters left: 3 (95 enodes) 1540196788.599 * * [misc]simplify: iters left: 2 (182 enodes) 1540196788.641 * * [misc]simplify: iters left: 1 (317 enodes) 1540196788.797 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196788.797 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196788.798 * * * * [misc]progress: [ 1077 / 6870 ] simplifiying candidate # 1540196788.798 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196788.798 * * [misc]simplify: iters left: 6 (22 enodes) 1540196788.802 * * [misc]simplify: iters left: 5 (38 enodes) 1540196788.809 * * [misc]simplify: iters left: 4 (73 enodes) 1540196788.826 * * [misc]simplify: iters left: 3 (218 enodes) 1540196788.914 * [exit]simplify: Simplified to (* (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196788.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196788.915 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196788.915 * * [misc]simplify: iters left: 6 (19 enodes) 1540196788.923 * * [misc]simplify: iters left: 5 (28 enodes) 1540196788.927 * * [misc]simplify: iters left: 4 (47 enodes) 1540196788.934 * * [misc]simplify: iters left: 3 (95 enodes) 1540196788.952 * * [misc]simplify: iters left: 2 (182 enodes) 1540196789.006 * * [misc]simplify: iters left: 1 (317 enodes) 1540196789.120 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196789.120 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196789.120 * * * * [misc]progress: [ 1078 / 6870 ] simplifiying candidate # 1540196789.120 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196789.120 * * [misc]simplify: iters left: 6 (24 enodes) 1540196789.124 * * [misc]simplify: iters left: 5 (43 enodes) 1540196789.133 * * [misc]simplify: iters left: 4 (98 enodes) 1540196789.156 * * [misc]simplify: iters left: 3 (327 enodes) 1540196789.332 * [exit]simplify: Simplified to (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196789.333 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196789.333 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196789.333 * * [misc]simplify: iters left: 6 (20 enodes) 1540196789.339 * * [misc]simplify: iters left: 5 (29 enodes) 1540196789.345 * * [misc]simplify: iters left: 4 (48 enodes) 1540196789.353 * * [misc]simplify: iters left: 3 (96 enodes) 1540196789.371 * * [misc]simplify: iters left: 2 (183 enodes) 1540196789.425 * * [misc]simplify: iters left: 1 (321 enodes) 1540196789.572 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196789.572 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196789.572 * * * * [misc]progress: [ 1079 / 6870 ] simplifiying candidate # 1540196789.572 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196789.572 * * [misc]simplify: iters left: 6 (23 enodes) 1540196789.576 * * [misc]simplify: iters left: 5 (38 enodes) 1540196789.582 * * [misc]simplify: iters left: 4 (73 enodes) 1540196789.597 * * [misc]simplify: iters left: 3 (216 enodes) 1540196789.690 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt PI) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196789.690 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt PI) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196789.690 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196789.690 * * [misc]simplify: iters left: 6 (20 enodes) 1540196789.693 * * [misc]simplify: iters left: 5 (29 enodes) 1540196789.698 * * [misc]simplify: iters left: 4 (48 enodes) 1540196789.708 * * [misc]simplify: iters left: 3 (96 enodes) 1540196789.729 * * [misc]simplify: iters left: 2 (183 enodes) 1540196789.782 * * [misc]simplify: iters left: 1 (321 enodes) 1540196789.900 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196789.900 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt PI) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196789.900 * * * * [misc]progress: [ 1080 / 6870 ] simplifiying candidate # 1540196789.901 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196789.901 * * [misc]simplify: iters left: 6 (21 enodes) 1540196789.908 * * [misc]simplify: iters left: 5 (36 enodes) 1540196789.914 * * [misc]simplify: iters left: 4 (72 enodes) 1540196789.929 * * [misc]simplify: iters left: 3 (184 enodes) 1540196790.021 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196790.021 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196790.021 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196790.021 * * [misc]simplify: iters left: 6 (19 enodes) 1540196790.023 * * [misc]simplify: iters left: 5 (28 enodes) 1540196790.027 * * [misc]simplify: iters left: 4 (47 enodes) 1540196790.035 * * [misc]simplify: iters left: 3 (95 enodes) 1540196790.052 * * [misc]simplify: iters left: 2 (182 enodes) 1540196790.128 * * [misc]simplify: iters left: 1 (317 enodes) 1540196790.278 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196790.278 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196790.278 * * * * [misc]progress: [ 1081 / 6870 ] simplifiying candidate # 1540196790.278 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196790.278 * * [misc]simplify: iters left: 6 (22 enodes) 1540196790.282 * * [misc]simplify: iters left: 5 (37 enodes) 1540196790.288 * * [misc]simplify: iters left: 4 (62 enodes) 1540196790.302 * * [misc]simplify: iters left: 3 (143 enodes) 1540196790.359 * * [misc]simplify: iters left: 2 (367 enodes) 1540196790.568 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt 2)) (sqrt PI))) 1540196790.568 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt 2)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196790.569 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196790.569 * * [misc]simplify: iters left: 6 (20 enodes) 1540196790.578 * * [misc]simplify: iters left: 5 (29 enodes) 1540196790.587 * * [misc]simplify: iters left: 4 (48 enodes) 1540196790.603 * * [misc]simplify: iters left: 3 (96 enodes) 1540196790.621 * * [misc]simplify: iters left: 2 (183 enodes) 1540196790.667 * * [misc]simplify: iters left: 1 (321 enodes) 1540196790.809 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))) 1540196790.809 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt 2)) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))))) 1540196790.809 * * * * [misc]progress: [ 1082 / 6870 ] simplifiying candidate # 1540196790.809 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196790.809 * * [misc]simplify: iters left: 6 (22 enodes) 1540196790.813 * * [misc]simplify: iters left: 5 (37 enodes) 1540196790.821 * * [misc]simplify: iters left: 4 (62 enodes) 1540196790.835 * * [misc]simplify: iters left: 3 (143 enodes) 1540196790.884 * * [misc]simplify: iters left: 2 (367 enodes) 1540196791.085 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt 2)) (sqrt PI))) 1540196791.085 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt 2)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196791.085 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196791.085 * * [misc]simplify: iters left: 6 (20 enodes) 1540196791.088 * * [misc]simplify: iters left: 5 (29 enodes) 1540196791.092 * * [misc]simplify: iters left: 4 (48 enodes) 1540196791.101 * * [misc]simplify: iters left: 3 (96 enodes) 1540196791.119 * * [misc]simplify: iters left: 2 (183 enodes) 1540196791.164 * * [misc]simplify: iters left: 1 (321 enodes) 1540196791.293 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))) 1540196791.293 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt 2)) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))))) 1540196791.293 * * * * [misc]progress: [ 1083 / 6870 ] simplifiying candidate # 1540196791.293 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196791.293 * * [misc]simplify: iters left: 6 (24 enodes) 1540196791.299 * * [misc]simplify: iters left: 5 (40 enodes) 1540196791.311 * * [misc]simplify: iters left: 4 (71 enodes) 1540196791.326 * * [misc]simplify: iters left: 3 (181 enodes) 1540196791.389 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196791.389 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196791.389 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196791.389 * * [misc]simplify: iters left: 6 (21 enodes) 1540196791.392 * * [misc]simplify: iters left: 5 (30 enodes) 1540196791.396 * * [misc]simplify: iters left: 4 (49 enodes) 1540196791.403 * * [misc]simplify: iters left: 3 (97 enodes) 1540196791.426 * * [misc]simplify: iters left: 2 (184 enodes) 1540196791.492 * * [misc]simplify: iters left: 1 (321 enodes) 1540196791.599 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196791.599 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196791.599 * * * * [misc]progress: [ 1084 / 6870 ] simplifiying candidate # 1540196791.600 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196791.600 * * [misc]simplify: iters left: 6 (23 enodes) 1540196791.604 * * [misc]simplify: iters left: 5 (37 enodes) 1540196791.608 * * [misc]simplify: iters left: 4 (62 enodes) 1540196791.618 * * [misc]simplify: iters left: 3 (143 enodes) 1540196791.652 * * [misc]simplify: iters left: 2 (367 enodes) 1540196791.810 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196791.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196791.810 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196791.811 * * [misc]simplify: iters left: 6 (21 enodes) 1540196791.813 * * [misc]simplify: iters left: 5 (30 enodes) 1540196791.818 * * [misc]simplify: iters left: 4 (49 enodes) 1540196791.825 * * [misc]simplify: iters left: 3 (97 enodes) 1540196791.851 * * [misc]simplify: iters left: 2 (184 enodes) 1540196791.906 * * [misc]simplify: iters left: 1 (321 enodes) 1540196792.021 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196792.021 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196792.021 * * * * [misc]progress: [ 1085 / 6870 ] simplifiying candidate # 1540196792.021 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196792.021 * * [misc]simplify: iters left: 6 (21 enodes) 1540196792.025 * * [misc]simplify: iters left: 5 (34 enodes) 1540196792.030 * * [misc]simplify: iters left: 4 (56 enodes) 1540196792.038 * * [misc]simplify: iters left: 3 (113 enodes) 1540196792.072 * * [misc]simplify: iters left: 2 (289 enodes) 1540196792.331 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540196792.331 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196792.331 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196792.331 * * [misc]simplify: iters left: 6 (20 enodes) 1540196792.336 * * [misc]simplify: iters left: 5 (29 enodes) 1540196792.344 * * [misc]simplify: iters left: 4 (48 enodes) 1540196792.357 * * [misc]simplify: iters left: 3 (96 enodes) 1540196792.375 * * [misc]simplify: iters left: 2 (183 enodes) 1540196792.416 * * [misc]simplify: iters left: 1 (321 enodes) 1540196792.540 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) 1540196792.540 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1540196792.540 * * * * [misc]progress: [ 1086 / 6870 ] simplifiying candidate # 1540196792.541 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196792.541 * * [misc]simplify: iters left: 6 (21 enodes) 1540196792.545 * * [misc]simplify: iters left: 5 (35 enodes) 1540196792.550 * * [misc]simplify: iters left: 4 (60 enodes) 1540196792.560 * * [misc]simplify: iters left: 3 (141 enodes) 1540196792.591 * * [misc]simplify: iters left: 2 (353 enodes) 1540196792.809 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196792.809 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196792.809 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196792.810 * * [misc]simplify: iters left: 6 (19 enodes) 1540196792.815 * * [misc]simplify: iters left: 5 (28 enodes) 1540196792.823 * * [misc]simplify: iters left: 4 (47 enodes) 1540196792.834 * * [misc]simplify: iters left: 3 (95 enodes) 1540196792.852 * * [misc]simplify: iters left: 2 (182 enodes) 1540196792.903 * * [misc]simplify: iters left: 1 (317 enodes) 1540196793.068 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196793.068 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196793.068 * * * * [misc]progress: [ 1087 / 6870 ] simplifiying candidate # 1540196793.068 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196793.068 * * [misc]simplify: iters left: 6 (21 enodes) 1540196793.073 * * [misc]simplify: iters left: 5 (35 enodes) 1540196793.078 * * [misc]simplify: iters left: 4 (60 enodes) 1540196793.089 * * [misc]simplify: iters left: 3 (141 enodes) 1540196793.128 * * [misc]simplify: iters left: 2 (353 enodes) 1540196793.298 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196793.299 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196793.299 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196793.299 * * [misc]simplify: iters left: 6 (19 enodes) 1540196793.302 * * [misc]simplify: iters left: 5 (28 enodes) 1540196793.306 * * [misc]simplify: iters left: 4 (47 enodes) 1540196793.317 * * [misc]simplify: iters left: 3 (95 enodes) 1540196793.335 * * [misc]simplify: iters left: 2 (182 enodes) 1540196793.409 * * [misc]simplify: iters left: 1 (317 enodes) 1540196793.555 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196793.555 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196793.555 * * * * [misc]progress: [ 1088 / 6870 ] simplifiying candidate # 1540196793.555 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196793.555 * * [misc]simplify: iters left: 6 (23 enodes) 1540196793.559 * * [misc]simplify: iters left: 5 (38 enodes) 1540196793.565 * * [misc]simplify: iters left: 4 (69 enodes) 1540196793.578 * * [misc]simplify: iters left: 3 (179 enodes) 1540196793.626 * * [misc]simplify: iters left: 2 (499 enodes) 1540196793.986 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196793.987 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196793.987 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196793.987 * * [misc]simplify: iters left: 6 (20 enodes) 1540196793.993 * * [misc]simplify: iters left: 5 (29 enodes) 1540196794.002 * * [misc]simplify: iters left: 4 (48 enodes) 1540196794.010 * * [misc]simplify: iters left: 3 (96 enodes) 1540196794.028 * * [misc]simplify: iters left: 2 (183 enodes) 1540196794.083 * * [misc]simplify: iters left: 1 (321 enodes) 1540196794.210 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196794.210 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196794.210 * * * * [misc]progress: [ 1089 / 6870 ] simplifiying candidate # 1540196794.210 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196794.210 * * [misc]simplify: iters left: 6 (22 enodes) 1540196794.218 * * [misc]simplify: iters left: 5 (35 enodes) 1540196794.223 * * [misc]simplify: iters left: 4 (60 enodes) 1540196794.233 * * [misc]simplify: iters left: 3 (141 enodes) 1540196794.279 * * [misc]simplify: iters left: 2 (357 enodes) 1540196794.478 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196794.478 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196794.479 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196794.479 * * [misc]simplify: iters left: 6 (20 enodes) 1540196794.485 * * [misc]simplify: iters left: 5 (29 enodes) 1540196794.493 * * [misc]simplify: iters left: 4 (48 enodes) 1540196794.508 * * [misc]simplify: iters left: 3 (96 enodes) 1540196794.525 * * [misc]simplify: iters left: 2 (183 enodes) 1540196794.579 * * [misc]simplify: iters left: 1 (321 enodes) 1540196794.704 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196794.704 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196794.704 * * * * [misc]progress: [ 1090 / 6870 ] simplifiying candidate # 1540196794.704 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196794.704 * * [misc]simplify: iters left: 6 (20 enodes) 1540196794.708 * * [misc]simplify: iters left: 5 (33 enodes) 1540196794.713 * * [misc]simplify: iters left: 4 (61 enodes) 1540196794.724 * * [misc]simplify: iters left: 3 (109 enodes) 1540196794.764 * * [misc]simplify: iters left: 2 (260 enodes) 1540196794.939 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196794.939 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196794.939 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196794.939 * * [misc]simplify: iters left: 6 (19 enodes) 1540196794.942 * * [misc]simplify: iters left: 5 (28 enodes) 1540196794.946 * * [misc]simplify: iters left: 4 (47 enodes) 1540196794.954 * * [misc]simplify: iters left: 3 (95 enodes) 1540196794.984 * * [misc]simplify: iters left: 2 (182 enodes) 1540196795.041 * * [misc]simplify: iters left: 1 (317 enodes) 1540196795.185 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196795.185 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196795.185 * * * * [misc]progress: [ 1091 / 6870 ] simplifiying candidate # 1540196795.185 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196795.186 * * [misc]simplify: iters left: 6 (18 enodes) 1540196795.194 * * [misc]simplify: iters left: 5 (32 enodes) 1540196795.204 * * [misc]simplify: iters left: 4 (59 enodes) 1540196795.216 * * [misc]simplify: iters left: 3 (137 enodes) 1540196795.255 * * [misc]simplify: iters left: 2 (311 enodes) 1540196795.400 * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt PI)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196795.400 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt 2) (sqrt PI)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196795.401 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196795.401 * * [misc]simplify: iters left: 6 (18 enodes) 1540196795.406 * * [misc]simplify: iters left: 5 (27 enodes) 1540196795.414 * * [misc]simplify: iters left: 4 (45 enodes) 1540196795.428 * * [misc]simplify: iters left: 3 (90 enodes) 1540196795.444 * * [misc]simplify: iters left: 2 (155 enodes) 1540196795.486 * * [misc]simplify: iters left: 1 (239 enodes) 1540196795.564 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196795.564 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt 2) (sqrt PI)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196795.564 * * * * [misc]progress: [ 1092 / 6870 ] simplifiying candidate # 1540196795.564 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196795.564 * * [misc]simplify: iters left: 6 (18 enodes) 1540196795.568 * * [misc]simplify: iters left: 5 (32 enodes) 1540196795.573 * * [misc]simplify: iters left: 4 (59 enodes) 1540196795.584 * * [misc]simplify: iters left: 3 (137 enodes) 1540196795.619 * * [misc]simplify: iters left: 2 (311 enodes) 1540196795.758 * [exit]simplify: Simplified to (* (* (sqrt 2) (sqrt PI)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196795.758 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt 2) (sqrt PI)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196795.760 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196795.760 * * [misc]simplify: iters left: 6 (18 enodes) 1540196795.765 * * [misc]simplify: iters left: 5 (27 enodes) 1540196795.772 * * [misc]simplify: iters left: 4 (45 enodes) 1540196795.782 * * [misc]simplify: iters left: 3 (90 enodes) 1540196795.798 * * [misc]simplify: iters left: 2 (155 enodes) 1540196795.830 * * [misc]simplify: iters left: 1 (239 enodes) 1540196795.887 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196795.887 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt 2) (sqrt PI)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196795.887 * * * * [misc]progress: [ 1093 / 6870 ] simplifiying candidate # 1540196795.888 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196795.888 * * [misc]simplify: iters left: 6 (20 enodes) 1540196795.891 * * [misc]simplify: iters left: 5 (35 enodes) 1540196795.896 * * [misc]simplify: iters left: 4 (69 enodes) 1540196795.923 * * [misc]simplify: iters left: 3 (178 enodes) 1540196795.992 * * [misc]simplify: iters left: 2 (477 enodes) 1540196796.342 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196796.342 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196796.343 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196796.343 * * [misc]simplify: iters left: 6 (19 enodes) 1540196796.345 * * [misc]simplify: iters left: 5 (28 enodes) 1540196796.351 * * [misc]simplify: iters left: 4 (46 enodes) 1540196796.365 * * [misc]simplify: iters left: 3 (91 enodes) 1540196796.397 * * [misc]simplify: iters left: 2 (156 enodes) 1540196796.443 * * [misc]simplify: iters left: 1 (239 enodes) 1540196796.525 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196796.526 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196796.526 * * * * [misc]progress: [ 1094 / 6870 ] simplifiying candidate # 1540196796.526 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196796.526 * * [misc]simplify: iters left: 6 (19 enodes) 1540196796.529 * * [misc]simplify: iters left: 5 (32 enodes) 1540196796.534 * * [misc]simplify: iters left: 4 (59 enodes) 1540196796.545 * * [misc]simplify: iters left: 3 (140 enodes) 1540196796.587 * * [misc]simplify: iters left: 2 (322 enodes) 1540196796.715 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540196796.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196796.716 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196796.716 * * [misc]simplify: iters left: 6 (19 enodes) 1540196796.721 * * [misc]simplify: iters left: 5 (28 enodes) 1540196796.730 * * [misc]simplify: iters left: 4 (46 enodes) 1540196796.745 * * [misc]simplify: iters left: 3 (91 enodes) 1540196796.772 * * [misc]simplify: iters left: 2 (156 enodes) 1540196796.806 * * [misc]simplify: iters left: 1 (239 enodes) 1540196796.868 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196796.868 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196796.868 * * * * [misc]progress: [ 1095 / 6870 ] simplifiying candidate # 1540196796.868 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) 1)) 1540196796.868 * * [misc]simplify: iters left: 6 (17 enodes) 1540196796.873 * * [misc]simplify: iters left: 5 (30 enodes) 1540196796.877 * * [misc]simplify: iters left: 4 (42 enodes) 1540196796.883 * * [misc]simplify: iters left: 3 (59 enodes) 1540196796.897 * * [misc]simplify: iters left: 2 (85 enodes) 1540196796.913 * * [misc]simplify: iters left: 1 (124 enodes) 1540196796.948 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196796.948 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196796.949 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196796.949 * * [misc]simplify: iters left: 6 (18 enodes) 1540196796.952 * * [misc]simplify: iters left: 5 (27 enodes) 1540196796.956 * * [misc]simplify: iters left: 4 (45 enodes) 1540196796.965 * * [misc]simplify: iters left: 3 (90 enodes) 1540196796.997 * * [misc]simplify: iters left: 2 (155 enodes) 1540196797.041 * * [misc]simplify: iters left: 1 (239 enodes) 1540196797.117 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196797.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196797.117 * * * * [misc]progress: [ 1096 / 6870 ] simplifiying candidate # 1540196797.117 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196797.117 * * [misc]simplify: iters left: 6 (21 enodes) 1540196797.125 * * [misc]simplify: iters left: 5 (35 enodes) 1540196797.132 * * [misc]simplify: iters left: 4 (60 enodes) 1540196797.144 * * [misc]simplify: iters left: 3 (141 enodes) 1540196797.190 * * [misc]simplify: iters left: 2 (353 enodes) 1540196797.377 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196797.377 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196797.378 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196797.378 * * [misc]simplify: iters left: 6 (19 enodes) 1540196797.380 * * [misc]simplify: iters left: 5 (28 enodes) 1540196797.385 * * [misc]simplify: iters left: 4 (47 enodes) 1540196797.397 * * [misc]simplify: iters left: 3 (95 enodes) 1540196797.415 * * [misc]simplify: iters left: 2 (182 enodes) 1540196797.486 * * [misc]simplify: iters left: 1 (317 enodes) 1540196797.608 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196797.608 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196797.608 * * * * [misc]progress: [ 1097 / 6870 ] simplifiying candidate # 1540196797.609 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196797.609 * * [misc]simplify: iters left: 6 (21 enodes) 1540196797.619 * * [misc]simplify: iters left: 5 (35 enodes) 1540196797.630 * * [misc]simplify: iters left: 4 (60 enodes) 1540196797.651 * * [misc]simplify: iters left: 3 (141 enodes) 1540196797.689 * * [misc]simplify: iters left: 2 (353 enodes) 1540196797.877 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196797.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196797.877 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196797.877 * * [misc]simplify: iters left: 6 (19 enodes) 1540196797.883 * * [misc]simplify: iters left: 5 (28 enodes) 1540196797.891 * * [misc]simplify: iters left: 4 (47 enodes) 1540196797.900 * * [misc]simplify: iters left: 3 (95 enodes) 1540196797.925 * * [misc]simplify: iters left: 2 (182 enodes) 1540196797.976 * * [misc]simplify: iters left: 1 (317 enodes) 1540196798.097 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196798.097 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196798.097 * * * * [misc]progress: [ 1098 / 6870 ] simplifiying candidate # 1540196798.097 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196798.097 * * [misc]simplify: iters left: 6 (23 enodes) 1540196798.102 * * [misc]simplify: iters left: 5 (38 enodes) 1540196798.113 * * [misc]simplify: iters left: 4 (69 enodes) 1540196798.138 * * [misc]simplify: iters left: 3 (179 enodes) 1540196798.195 * * [misc]simplify: iters left: 2 (499 enodes) 1540196798.601 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196798.601 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196798.601 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196798.601 * * [misc]simplify: iters left: 6 (20 enodes) 1540196798.604 * * [misc]simplify: iters left: 5 (29 enodes) 1540196798.608 * * [misc]simplify: iters left: 4 (48 enodes) 1540196798.616 * * [misc]simplify: iters left: 3 (96 enodes) 1540196798.639 * * [misc]simplify: iters left: 2 (183 enodes) 1540196798.682 * * [misc]simplify: iters left: 1 (321 enodes) 1540196798.821 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196798.821 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196798.821 * * * * [misc]progress: [ 1099 / 6870 ] simplifiying candidate # 1540196798.821 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196798.821 * * [misc]simplify: iters left: 6 (22 enodes) 1540196798.831 * * [misc]simplify: iters left: 5 (35 enodes) 1540196798.841 * * [misc]simplify: iters left: 4 (60 enodes) 1540196798.862 * * [misc]simplify: iters left: 3 (141 enodes) 1540196798.920 * * [misc]simplify: iters left: 2 (357 enodes) 1540196799.078 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196799.078 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196799.078 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196799.078 * * [misc]simplify: iters left: 6 (20 enodes) 1540196799.081 * * [misc]simplify: iters left: 5 (29 enodes) 1540196799.087 * * [misc]simplify: iters left: 4 (48 enodes) 1540196799.094 * * [misc]simplify: iters left: 3 (96 enodes) 1540196799.112 * * [misc]simplify: iters left: 2 (183 enodes) 1540196799.152 * * [misc]simplify: iters left: 1 (321 enodes) 1540196799.259 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196799.259 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196799.259 * * * * [misc]progress: [ 1100 / 6870 ] simplifiying candidate # 1540196799.259 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196799.260 * * [misc]simplify: iters left: 6 (20 enodes) 1540196799.263 * * [misc]simplify: iters left: 5 (33 enodes) 1540196799.270 * * [misc]simplify: iters left: 4 (61 enodes) 1540196799.279 * * [misc]simplify: iters left: 3 (109 enodes) 1540196799.301 * * [misc]simplify: iters left: 2 (260 enodes) 1540196799.449 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196799.450 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196799.450 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196799.450 * * [misc]simplify: iters left: 6 (19 enodes) 1540196799.452 * * [misc]simplify: iters left: 5 (28 enodes) 1540196799.456 * * [misc]simplify: iters left: 4 (47 enodes) 1540196799.466 * * [misc]simplify: iters left: 3 (95 enodes) 1540196799.483 * * [misc]simplify: iters left: 2 (182 enodes) 1540196799.552 * * [misc]simplify: iters left: 1 (317 enodes) 1540196799.696 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196799.696 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196799.696 * * * * [misc]progress: [ 1101 / 6870 ] simplifiying candidate # 1540196799.697 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196799.697 * * [misc]simplify: iters left: 6 (18 enodes) 1540196799.700 * * [misc]simplify: iters left: 5 (32 enodes) 1540196799.705 * * [misc]simplify: iters left: 4 (54 enodes) 1540196799.714 * * [misc]simplify: iters left: 3 (105 enodes) 1540196799.738 * * [misc]simplify: iters left: 2 (240 enodes) 1540196799.837 * * [misc]simplify: iters left: 1 (451 enodes) 1540196800.090 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt 2) (sqrt PI))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196800.090 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt 2) (sqrt PI))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196800.090 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196800.090 * * [misc]simplify: iters left: 6 (18 enodes) 1540196800.094 * * [misc]simplify: iters left: 5 (27 enodes) 1540196800.102 * * [misc]simplify: iters left: 4 (45 enodes) 1540196800.115 * * [misc]simplify: iters left: 3 (90 enodes) 1540196800.135 * * [misc]simplify: iters left: 2 (155 enodes) 1540196800.170 * * [misc]simplify: iters left: 1 (239 enodes) 1540196800.273 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196800.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt 2) (sqrt PI))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196800.273 * * * * [misc]progress: [ 1102 / 6870 ] simplifiying candidate # 1540196800.273 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196800.273 * * [misc]simplify: iters left: 6 (18 enodes) 1540196800.277 * * [misc]simplify: iters left: 5 (32 enodes) 1540196800.282 * * [misc]simplify: iters left: 4 (54 enodes) 1540196800.292 * * [misc]simplify: iters left: 3 (105 enodes) 1540196800.314 * * [misc]simplify: iters left: 2 (240 enodes) 1540196800.392 * * [misc]simplify: iters left: 1 (451 enodes) 1540196800.655 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt 2) (sqrt PI))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196800.655 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt 2) (sqrt PI))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196800.656 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196800.656 * * [misc]simplify: iters left: 6 (18 enodes) 1540196800.658 * * [misc]simplify: iters left: 5 (27 enodes) 1540196800.662 * * [misc]simplify: iters left: 4 (45 enodes) 1540196800.669 * * [misc]simplify: iters left: 3 (90 enodes) 1540196800.690 * * [misc]simplify: iters left: 2 (155 enodes) 1540196800.756 * * [misc]simplify: iters left: 1 (239 enodes) 1540196800.846 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196800.847 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt 2) (sqrt PI))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196800.847 * * * * [misc]progress: [ 1103 / 6870 ] simplifiying candidate # 1540196800.847 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196800.847 * * [misc]simplify: iters left: 6 (20 enodes) 1540196800.854 * * [misc]simplify: iters left: 5 (35 enodes) 1540196800.864 * * [misc]simplify: iters left: 4 (63 enodes) 1540196800.886 * * [misc]simplify: iters left: 3 (140 enodes) 1540196800.953 * * [misc]simplify: iters left: 2 (385 enodes) 1540196801.242 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196801.242 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196801.242 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196801.242 * * [misc]simplify: iters left: 6 (19 enodes) 1540196801.247 * * [misc]simplify: iters left: 5 (28 enodes) 1540196801.255 * * [misc]simplify: iters left: 4 (46 enodes) 1540196801.264 * * [misc]simplify: iters left: 3 (91 enodes) 1540196801.281 * * [misc]simplify: iters left: 2 (156 enodes) 1540196801.319 * * [misc]simplify: iters left: 1 (239 enodes) 1540196801.402 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196801.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196801.402 * * * * [misc]progress: [ 1104 / 6870 ] simplifiying candidate # 1540196801.402 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196801.403 * * [misc]simplify: iters left: 6 (19 enodes) 1540196801.409 * * [misc]simplify: iters left: 5 (32 enodes) 1540196801.417 * * [misc]simplify: iters left: 4 (54 enodes) 1540196801.434 * * [misc]simplify: iters left: 3 (105 enodes) 1540196801.458 * * [misc]simplify: iters left: 2 (243 enodes) 1540196801.546 * * [misc]simplify: iters left: 1 (448 enodes) 1540196801.908 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196801.908 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196801.908 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196801.909 * * [misc]simplify: iters left: 6 (19 enodes) 1540196801.911 * * [misc]simplify: iters left: 5 (28 enodes) 1540196801.915 * * [misc]simplify: iters left: 4 (46 enodes) 1540196801.922 * * [misc]simplify: iters left: 3 (91 enodes) 1540196801.944 * * [misc]simplify: iters left: 2 (156 enodes) 1540196801.981 * * [misc]simplify: iters left: 1 (239 enodes) 1540196802.051 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196802.051 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196802.051 * * * * [misc]progress: [ 1105 / 6870 ] simplifiying candidate # 1540196802.052 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 1)) 1540196802.052 * * [misc]simplify: iters left: 6 (17 enodes) 1540196802.058 * * [misc]simplify: iters left: 5 (28 enodes) 1540196802.066 * * [misc]simplify: iters left: 4 (38 enodes) 1540196802.071 * * [misc]simplify: iters left: 3 (52 enodes) 1540196802.078 * * [misc]simplify: iters left: 2 (66 enodes) 1540196802.086 * * [misc]simplify: iters left: 1 (85 enodes) 1540196802.106 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196802.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196802.106 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196802.106 * * [misc]simplify: iters left: 6 (18 enodes) 1540196802.112 * * [misc]simplify: iters left: 5 (27 enodes) 1540196802.120 * * [misc]simplify: iters left: 4 (45 enodes) 1540196802.127 * * [misc]simplify: iters left: 3 (90 enodes) 1540196802.143 * * [misc]simplify: iters left: 2 (155 enodes) 1540196802.178 * * [misc]simplify: iters left: 1 (239 enodes) 1540196802.246 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196802.246 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196802.246 * * * * [misc]progress: [ 1106 / 6870 ] simplifiying candidate # 1540196802.246 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1) 1540196802.246 * * [misc]simplify: iters left: 6 (16 enodes) 1540196802.249 * * [misc]simplify: iters left: 5 (27 enodes) 1540196802.253 * * [misc]simplify: iters left: 4 (43 enodes) 1540196802.261 * * [misc]simplify: iters left: 3 (58 enodes) 1540196802.268 * * [misc]simplify: iters left: 2 (78 enodes) 1540196802.278 * * [misc]simplify: iters left: 1 (117 enodes) 1540196802.312 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt PI)) 1540196802.312 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196802.313 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196802.313 * * [misc]simplify: iters left: 6 (18 enodes) 1540196802.318 * * [misc]simplify: iters left: 5 (27 enodes) 1540196802.326 * * [misc]simplify: iters left: 4 (45 enodes) 1540196802.336 * * [misc]simplify: iters left: 3 (90 enodes) 1540196802.354 * * [misc]simplify: iters left: 2 (155 enodes) 1540196802.391 * * [misc]simplify: iters left: 1 (239 enodes) 1540196802.481 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196802.481 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt PI)) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196802.481 * * * * [misc]progress: [ 1107 / 6870 ] simplifiying candidate # 1540196802.482 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) 1540196802.482 * * [misc]simplify: iters left: 6 (18 enodes) 1540196802.485 * * [misc]simplify: iters left: 5 (29 enodes) 1540196802.489 * * [misc]simplify: iters left: 4 (46 enodes) 1540196802.496 * * [misc]simplify: iters left: 3 (95 enodes) 1540196802.514 * * [misc]simplify: iters left: 2 (203 enodes) 1540196802.580 * * [misc]simplify: iters left: 1 (367 enodes) 1540196802.732 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540196802.732 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196802.732 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196802.732 * * [misc]simplify: iters left: 6 (19 enodes) 1540196802.735 * * [misc]simplify: iters left: 5 (30 enodes) 1540196802.744 * * [misc]simplify: iters left: 4 (47 enodes) 1540196802.759 * * [misc]simplify: iters left: 3 (99 enodes) 1540196802.785 * * [misc]simplify: iters left: 2 (206 enodes) 1540196802.868 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196802.868 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196802.868 * * * * [misc]progress: [ 1108 / 6870 ] simplifiying candidate # 1540196802.868 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196802.868 * * [misc]simplify: iters left: 6 (20 enodes) 1540196802.872 * * [misc]simplify: iters left: 5 (34 enodes) 1540196802.877 * * [misc]simplify: iters left: 4 (59 enodes) 1540196802.887 * * [misc]simplify: iters left: 3 (140 enodes) 1540196802.932 * * [misc]simplify: iters left: 2 (348 enodes) 1540196803.104 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt 2)))) 1540196803.104 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196803.104 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196803.104 * * [misc]simplify: iters left: 6 (17 enodes) 1540196803.109 * * [misc]simplify: iters left: 5 (24 enodes) 1540196803.115 * * [misc]simplify: iters left: 4 (35 enodes) 1540196803.120 * * [misc]simplify: iters left: 3 (50 enodes) 1540196803.126 * * [misc]simplify: iters left: 2 (67 enodes) 1540196803.135 * * [misc]simplify: iters left: 1 (84 enodes) 1540196803.147 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196803.147 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt 2)))) (* (/ (pow PI (/ (- k) 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196803.147 * * * * [misc]progress: [ 1109 / 6870 ] simplifiying candidate # 1540196803.147 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196803.148 * * [misc]simplify: iters left: 6 (21 enodes) 1540196803.151 * * [misc]simplify: iters left: 5 (32 enodes) 1540196803.155 * * [misc]simplify: iters left: 4 (52 enodes) 1540196803.165 * * [misc]simplify: iters left: 3 (91 enodes) 1540196803.181 * * [misc]simplify: iters left: 2 (202 enodes) 1540196803.253 * * [misc]simplify: iters left: 1 (481 enodes) 1540196803.458 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196803.458 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196803.458 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196803.458 * * [misc]simplify: iters left: 6 (19 enodes) 1540196803.461 * * [misc]simplify: iters left: 5 (26 enodes) 1540196803.466 * * [misc]simplify: iters left: 4 (37 enodes) 1540196803.476 * * [misc]simplify: iters left: 3 (52 enodes) 1540196803.485 * * [misc]simplify: iters left: 2 (69 enodes) 1540196803.494 * * [misc]simplify: iters left: 1 (86 enodes) 1540196803.506 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196803.506 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196803.506 * * * * [misc]progress: [ 1110 / 6870 ] simplifiying candidate # 1540196803.506 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196803.507 * * [misc]simplify: iters left: 6 (20 enodes) 1540196803.510 * * [misc]simplify: iters left: 5 (29 enodes) 1540196803.514 * * [misc]simplify: iters left: 4 (41 enodes) 1540196803.524 * * [misc]simplify: iters left: 3 (66 enodes) 1540196803.543 * * [misc]simplify: iters left: 2 (98 enodes) 1540196803.558 * * [misc]simplify: iters left: 1 (144 enodes) 1540196803.582 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196803.582 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196803.582 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196803.582 * * [misc]simplify: iters left: 6 (19 enodes) 1540196803.586 * * [misc]simplify: iters left: 5 (26 enodes) 1540196803.589 * * [misc]simplify: iters left: 4 (37 enodes) 1540196803.594 * * [misc]simplify: iters left: 3 (52 enodes) 1540196803.601 * * [misc]simplify: iters left: 2 (69 enodes) 1540196803.611 * * [misc]simplify: iters left: 1 (86 enodes) 1540196803.623 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196803.623 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196803.623 * * * * [misc]progress: [ 1111 / 6870 ] simplifiying candidate # 1540196803.623 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196803.623 * * [misc]simplify: iters left: 6 (21 enodes) 1540196803.629 * * [misc]simplify: iters left: 5 (35 enodes) 1540196803.635 * * [misc]simplify: iters left: 4 (65 enodes) 1540196803.655 * * [misc]simplify: iters left: 3 (162 enodes) 1540196803.705 * * [misc]simplify: iters left: 2 (496 enodes) 1540196804.183 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540196804.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196804.183 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196804.184 * * [misc]simplify: iters left: 6 (19 enodes) 1540196804.186 * * [misc]simplify: iters left: 5 (28 enodes) 1540196804.190 * * [misc]simplify: iters left: 4 (47 enodes) 1540196804.201 * * [misc]simplify: iters left: 3 (95 enodes) 1540196804.222 * * [misc]simplify: iters left: 2 (182 enodes) 1540196804.265 * * [misc]simplify: iters left: 1 (317 enodes) 1540196804.385 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196804.385 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196804.385 * * * * [misc]progress: [ 1112 / 6870 ] simplifiying candidate # 1540196804.385 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196804.385 * * [misc]simplify: iters left: 6 (21 enodes) 1540196804.393 * * [misc]simplify: iters left: 5 (35 enodes) 1540196804.404 * * [misc]simplify: iters left: 4 (65 enodes) 1540196804.427 * * [misc]simplify: iters left: 3 (162 enodes) 1540196804.481 * * [misc]simplify: iters left: 2 (496 enodes) 1540196804.980 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540196804.980 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196804.981 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196804.981 * * [misc]simplify: iters left: 6 (19 enodes) 1540196804.983 * * [misc]simplify: iters left: 5 (28 enodes) 1540196804.987 * * [misc]simplify: iters left: 4 (47 enodes) 1540196804.994 * * [misc]simplify: iters left: 3 (95 enodes) 1540196805.020 * * [misc]simplify: iters left: 2 (182 enodes) 1540196805.065 * * [misc]simplify: iters left: 1 (317 enodes) 1540196805.171 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196805.171 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196805.172 * * * * [misc]progress: [ 1113 / 6870 ] simplifiying candidate # 1540196805.172 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196805.172 * * [misc]simplify: iters left: 6 (23 enodes) 1540196805.176 * * [misc]simplify: iters left: 5 (40 enodes) 1540196805.182 * * [misc]simplify: iters left: 4 (90 enodes) 1540196805.213 * * [misc]simplify: iters left: 3 (252 enodes) 1540196805.330 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196805.330 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196805.330 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196805.330 * * [misc]simplify: iters left: 6 (20 enodes) 1540196805.333 * * [misc]simplify: iters left: 5 (29 enodes) 1540196805.337 * * [misc]simplify: iters left: 4 (48 enodes) 1540196805.344 * * [misc]simplify: iters left: 3 (96 enodes) 1540196805.362 * * [misc]simplify: iters left: 2 (183 enodes) 1540196805.426 * * [misc]simplify: iters left: 1 (321 enodes) 1540196805.557 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196805.557 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196805.557 * * * * [misc]progress: [ 1114 / 6870 ] simplifiying candidate # 1540196805.557 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196805.557 * * [misc]simplify: iters left: 6 (22 enodes) 1540196805.566 * * [misc]simplify: iters left: 5 (35 enodes) 1540196805.576 * * [misc]simplify: iters left: 4 (65 enodes) 1540196805.587 * * [misc]simplify: iters left: 3 (162 enodes) 1540196805.649 * * [misc]simplify: iters left: 2 (496 enodes) 1540196806.083 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) 1540196806.083 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196806.084 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196806.084 * * [misc]simplify: iters left: 6 (20 enodes) 1540196806.086 * * [misc]simplify: iters left: 5 (29 enodes) 1540196806.090 * * [misc]simplify: iters left: 4 (48 enodes) 1540196806.097 * * [misc]simplify: iters left: 3 (96 enodes) 1540196806.127 * * [misc]simplify: iters left: 2 (183 enodes) 1540196806.181 * * [misc]simplify: iters left: 1 (321 enodes) 1540196806.732 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196806.732 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196806.732 * * * * [misc]progress: [ 1115 / 6870 ] simplifiying candidate # 1540196806.732 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196806.732 * * [misc]simplify: iters left: 6 (20 enodes) 1540196806.736 * * [misc]simplify: iters left: 5 (33 enodes) 1540196806.741 * * [misc]simplify: iters left: 4 (64 enodes) 1540196806.751 * * [misc]simplify: iters left: 3 (131 enodes) 1540196806.808 * * [misc]simplify: iters left: 2 (439 enodes) 1540196807.148 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196807.148 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196807.148 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196807.149 * * [misc]simplify: iters left: 6 (19 enodes) 1540196807.154 * * [misc]simplify: iters left: 5 (28 enodes) 1540196807.162 * * [misc]simplify: iters left: 4 (47 enodes) 1540196807.177 * * [misc]simplify: iters left: 3 (95 enodes) 1540196807.198 * * [misc]simplify: iters left: 2 (182 enodes) 1540196807.242 * * [misc]simplify: iters left: 1 (317 enodes) 1540196807.386 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196807.386 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196807.386 * * * * [misc]progress: [ 1116 / 6870 ] simplifiying candidate # 1540196807.386 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196807.387 * * [misc]simplify: iters left: 6 (21 enodes) 1540196807.390 * * [misc]simplify: iters left: 5 (34 enodes) 1540196807.395 * * [misc]simplify: iters left: 4 (54 enodes) 1540196807.404 * * [misc]simplify: iters left: 3 (100 enodes) 1540196807.437 * * [misc]simplify: iters left: 2 (211 enodes) 1540196807.511 * * [misc]simplify: iters left: 1 (421 enodes) 1540196807.663 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) 1540196807.663 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196807.663 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196807.664 * * [misc]simplify: iters left: 6 (20 enodes) 1540196807.666 * * [misc]simplify: iters left: 5 (29 enodes) 1540196807.671 * * [misc]simplify: iters left: 4 (48 enodes) 1540196807.680 * * [misc]simplify: iters left: 3 (96 enodes) 1540196807.709 * * [misc]simplify: iters left: 2 (183 enodes) 1540196807.751 * * [misc]simplify: iters left: 1 (321 enodes) 1540196807.883 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))) 1540196807.883 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))))) 1540196807.883 * * * * [misc]progress: [ 1117 / 6870 ] simplifiying candidate # 1540196807.884 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196807.884 * * [misc]simplify: iters left: 6 (21 enodes) 1540196807.888 * * [misc]simplify: iters left: 5 (34 enodes) 1540196807.895 * * [misc]simplify: iters left: 4 (54 enodes) 1540196807.906 * * [misc]simplify: iters left: 3 (100 enodes) 1540196807.936 * * [misc]simplify: iters left: 2 (211 enodes) 1540196808.022 * * [misc]simplify: iters left: 1 (421 enodes) 1540196808.199 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) 1540196808.199 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196808.199 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196808.199 * * [misc]simplify: iters left: 6 (20 enodes) 1540196808.202 * * [misc]simplify: iters left: 5 (29 enodes) 1540196808.208 * * [misc]simplify: iters left: 4 (48 enodes) 1540196808.215 * * [misc]simplify: iters left: 3 (96 enodes) 1540196808.233 * * [misc]simplify: iters left: 2 (183 enodes) 1540196808.280 * * [misc]simplify: iters left: 1 (321 enodes) 1540196808.406 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))) 1540196808.406 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))))) 1540196808.406 * * * * [misc]progress: [ 1118 / 6870 ] simplifiying candidate # 1540196808.406 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196808.406 * * [misc]simplify: iters left: 6 (23 enodes) 1540196808.410 * * [misc]simplify: iters left: 5 (37 enodes) 1540196808.415 * * [misc]simplify: iters left: 4 (63 enodes) 1540196808.431 * * [misc]simplify: iters left: 3 (136 enodes) 1540196808.461 * * [misc]simplify: iters left: 2 (335 enodes) 1540196808.619 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) 1540196808.619 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196808.620 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196808.620 * * [misc]simplify: iters left: 6 (21 enodes) 1540196808.624 * * [misc]simplify: iters left: 5 (30 enodes) 1540196808.628 * * [misc]simplify: iters left: 4 (49 enodes) 1540196808.636 * * [misc]simplify: iters left: 3 (97 enodes) 1540196808.653 * * [misc]simplify: iters left: 2 (184 enodes) 1540196808.710 * * [misc]simplify: iters left: 1 (321 enodes) 1540196808.824 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196808.824 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196808.824 * * * * [misc]progress: [ 1119 / 6870 ] simplifiying candidate # 1540196808.824 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196808.824 * * [misc]simplify: iters left: 6 (22 enodes) 1540196808.829 * * [misc]simplify: iters left: 5 (34 enodes) 1540196808.834 * * [misc]simplify: iters left: 4 (54 enodes) 1540196808.841 * * [misc]simplify: iters left: 3 (100 enodes) 1540196808.860 * * [misc]simplify: iters left: 2 (212 enodes) 1540196808.911 * * [misc]simplify: iters left: 1 (452 enodes) 1540196809.142 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540196809.142 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196809.143 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196809.143 * * [misc]simplify: iters left: 6 (21 enodes) 1540196809.145 * * [misc]simplify: iters left: 5 (30 enodes) 1540196809.150 * * [misc]simplify: iters left: 4 (49 enodes) 1540196809.157 * * [misc]simplify: iters left: 3 (97 enodes) 1540196809.178 * * [misc]simplify: iters left: 2 (184 enodes) 1540196809.223 * * [misc]simplify: iters left: 1 (321 enodes) 1540196809.339 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196809.339 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196809.339 * * * * [misc]progress: [ 1120 / 6870 ] simplifiying candidate # 1540196809.339 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196809.339 * * [misc]simplify: iters left: 6 (20 enodes) 1540196809.343 * * [misc]simplify: iters left: 5 (31 enodes) 1540196809.347 * * [misc]simplify: iters left: 4 (48 enodes) 1540196809.354 * * [misc]simplify: iters left: 3 (81 enodes) 1540196809.372 * * [misc]simplify: iters left: 2 (149 enodes) 1540196809.433 * * [misc]simplify: iters left: 1 (308 enodes) 1540196809.543 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196809.543 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196809.543 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196809.543 * * [misc]simplify: iters left: 6 (20 enodes) 1540196809.546 * * [misc]simplify: iters left: 5 (29 enodes) 1540196809.553 * * [misc]simplify: iters left: 4 (48 enodes) 1540196809.564 * * [misc]simplify: iters left: 3 (96 enodes) 1540196809.581 * * [misc]simplify: iters left: 2 (183 enodes) 1540196809.625 * * [misc]simplify: iters left: 1 (321 enodes) 1540196809.767 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) 1540196809.767 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1540196809.768 * * * * [misc]progress: [ 1121 / 6870 ] simplifiying candidate # 1540196809.768 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196809.768 * * [misc]simplify: iters left: 6 (20 enodes) 1540196809.772 * * [misc]simplify: iters left: 5 (32 enodes) 1540196809.777 * * [misc]simplify: iters left: 4 (52 enodes) 1540196809.787 * * [misc]simplify: iters left: 3 (98 enodes) 1540196809.816 * * [misc]simplify: iters left: 2 (235 enodes) 1540196809.922 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) 1540196809.922 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196809.922 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196809.922 * * [misc]simplify: iters left: 6 (19 enodes) 1540196809.928 * * [misc]simplify: iters left: 5 (28 enodes) 1540196809.934 * * [misc]simplify: iters left: 4 (47 enodes) 1540196809.941 * * [misc]simplify: iters left: 3 (95 enodes) 1540196809.959 * * [misc]simplify: iters left: 2 (182 enodes) 1540196810.004 * * [misc]simplify: iters left: 1 (317 enodes) 1540196810.119 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196810.119 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196810.119 * * * * [misc]progress: [ 1122 / 6870 ] simplifiying candidate # 1540196810.119 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196810.119 * * [misc]simplify: iters left: 6 (20 enodes) 1540196810.123 * * [misc]simplify: iters left: 5 (32 enodes) 1540196810.128 * * [misc]simplify: iters left: 4 (52 enodes) 1540196810.142 * * [misc]simplify: iters left: 3 (98 enodes) 1540196810.178 * * [misc]simplify: iters left: 2 (235 enodes) 1540196810.287 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) 1540196810.287 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196810.287 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196810.287 * * [misc]simplify: iters left: 6 (19 enodes) 1540196810.290 * * [misc]simplify: iters left: 5 (28 enodes) 1540196810.294 * * [misc]simplify: iters left: 4 (47 enodes) 1540196810.305 * * [misc]simplify: iters left: 3 (95 enodes) 1540196810.324 * * [misc]simplify: iters left: 2 (182 enodes) 1540196810.392 * * [misc]simplify: iters left: 1 (317 enodes) 1540196810.518 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196810.518 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196810.519 * * * * [misc]progress: [ 1123 / 6870 ] simplifiying candidate # 1540196810.519 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196810.519 * * [misc]simplify: iters left: 6 (22 enodes) 1540196810.523 * * [misc]simplify: iters left: 5 (35 enodes) 1540196810.527 * * [misc]simplify: iters left: 4 (61 enodes) 1540196810.538 * * [misc]simplify: iters left: 3 (134 enodes) 1540196810.568 * * [misc]simplify: iters left: 2 (335 enodes) 1540196810.741 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196810.741 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196810.741 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196810.741 * * [misc]simplify: iters left: 6 (20 enodes) 1540196810.744 * * [misc]simplify: iters left: 5 (29 enodes) 1540196810.748 * * [misc]simplify: iters left: 4 (48 enodes) 1540196810.755 * * [misc]simplify: iters left: 3 (96 enodes) 1540196810.774 * * [misc]simplify: iters left: 2 (183 enodes) 1540196810.822 * * [misc]simplify: iters left: 1 (321 enodes) 1540196810.973 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196810.973 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196810.973 * * * * [misc]progress: [ 1124 / 6870 ] simplifiying candidate # 1540196810.973 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196810.973 * * [misc]simplify: iters left: 6 (21 enodes) 1540196810.977 * * [misc]simplify: iters left: 5 (32 enodes) 1540196810.982 * * [misc]simplify: iters left: 4 (52 enodes) 1540196810.990 * * [misc]simplify: iters left: 3 (98 enodes) 1540196811.014 * * [misc]simplify: iters left: 2 (236 enodes) 1540196811.097 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196811.097 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196811.097 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196811.097 * * [misc]simplify: iters left: 6 (20 enodes) 1540196811.102 * * [misc]simplify: iters left: 5 (29 enodes) 1540196811.109 * * [misc]simplify: iters left: 4 (48 enodes) 1540196811.121 * * [misc]simplify: iters left: 3 (96 enodes) 1540196811.140 * * [misc]simplify: iters left: 2 (183 enodes) 1540196811.184 * * [misc]simplify: iters left: 1 (321 enodes) 1540196811.340 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196811.340 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196811.340 * * * * [misc]progress: [ 1125 / 6870 ] simplifiying candidate # 1540196811.340 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196811.340 * * [misc]simplify: iters left: 6 (19 enodes) 1540196811.347 * * [misc]simplify: iters left: 5 (30 enodes) 1540196811.358 * * [misc]simplify: iters left: 4 (53 enodes) 1540196811.373 * * [misc]simplify: iters left: 3 (81 enodes) 1540196811.394 * * [misc]simplify: iters left: 2 (145 enodes) 1540196811.427 * * [misc]simplify: iters left: 1 (215 enodes) 1540196811.506 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196811.506 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196811.506 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196811.506 * * [misc]simplify: iters left: 6 (19 enodes) 1540196811.509 * * [misc]simplify: iters left: 5 (28 enodes) 1540196811.513 * * [misc]simplify: iters left: 4 (47 enodes) 1540196811.520 * * [misc]simplify: iters left: 3 (95 enodes) 1540196811.546 * * [misc]simplify: iters left: 2 (182 enodes) 1540196811.623 * * [misc]simplify: iters left: 1 (317 enodes) 1540196811.765 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196811.765 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196811.765 * * * * [misc]progress: [ 1126 / 6870 ] simplifiying candidate # 1540196811.766 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196811.766 * * [misc]simplify: iters left: 6 (17 enodes) 1540196811.769 * * [misc]simplify: iters left: 5 (29 enodes) 1540196811.774 * * [misc]simplify: iters left: 4 (51 enodes) 1540196811.787 * * [misc]simplify: iters left: 3 (107 enodes) 1540196811.815 * * [misc]simplify: iters left: 2 (151 enodes) 1540196811.842 * * [misc]simplify: iters left: 1 (253 enodes) 1540196811.919 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196811.919 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196811.919 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196811.919 * * [misc]simplify: iters left: 6 (18 enodes) 1540196811.922 * * [misc]simplify: iters left: 5 (27 enodes) 1540196811.929 * * [misc]simplify: iters left: 4 (45 enodes) 1540196811.937 * * [misc]simplify: iters left: 3 (90 enodes) 1540196811.955 * * [misc]simplify: iters left: 2 (155 enodes) 1540196811.996 * * [misc]simplify: iters left: 1 (239 enodes) 1540196812.053 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196812.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196812.053 * * * * [misc]progress: [ 1127 / 6870 ] simplifiying candidate # 1540196812.054 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196812.054 * * [misc]simplify: iters left: 6 (17 enodes) 1540196812.057 * * [misc]simplify: iters left: 5 (29 enodes) 1540196812.062 * * [misc]simplify: iters left: 4 (51 enodes) 1540196812.071 * * [misc]simplify: iters left: 3 (107 enodes) 1540196812.095 * * [misc]simplify: iters left: 2 (151 enodes) 1540196812.130 * * [misc]simplify: iters left: 1 (253 enodes) 1540196812.209 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196812.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196812.209 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196812.209 * * [misc]simplify: iters left: 6 (18 enodes) 1540196812.212 * * [misc]simplify: iters left: 5 (27 enodes) 1540196812.216 * * [misc]simplify: iters left: 4 (45 enodes) 1540196812.228 * * [misc]simplify: iters left: 3 (90 enodes) 1540196812.244 * * [misc]simplify: iters left: 2 (155 enodes) 1540196812.299 * * [misc]simplify: iters left: 1 (239 enodes) 1540196812.379 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196812.379 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196812.379 * * * * [misc]progress: [ 1128 / 6870 ] simplifiying candidate # 1540196812.379 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196812.380 * * [misc]simplify: iters left: 6 (19 enodes) 1540196812.383 * * [misc]simplify: iters left: 5 (32 enodes) 1540196812.387 * * [misc]simplify: iters left: 4 (61 enodes) 1540196812.399 * * [misc]simplify: iters left: 3 (164 enodes) 1540196812.446 * * [misc]simplify: iters left: 2 (375 enodes) 1540196812.635 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196812.635 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196812.635 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196812.635 * * [misc]simplify: iters left: 6 (19 enodes) 1540196812.638 * * [misc]simplify: iters left: 5 (28 enodes) 1540196812.642 * * [misc]simplify: iters left: 4 (46 enodes) 1540196812.648 * * [misc]simplify: iters left: 3 (91 enodes) 1540196812.671 * * [misc]simplify: iters left: 2 (156 enodes) 1540196812.707 * * [misc]simplify: iters left: 1 (239 enodes) 1540196812.769 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196812.769 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196812.769 * * * * [misc]progress: [ 1129 / 6870 ] simplifiying candidate # 1540196812.769 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196812.769 * * [misc]simplify: iters left: 6 (18 enodes) 1540196812.772 * * [misc]simplify: iters left: 5 (29 enodes) 1540196812.776 * * [misc]simplify: iters left: 4 (51 enodes) 1540196812.786 * * [misc]simplify: iters left: 3 (112 enodes) 1540196812.807 * * [misc]simplify: iters left: 2 (217 enodes) 1540196812.886 * * [misc]simplify: iters left: 1 (368 enodes) 1540196813.018 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt PI)) 1540196813.018 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196813.018 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196813.019 * * [misc]simplify: iters left: 6 (19 enodes) 1540196813.021 * * [misc]simplify: iters left: 5 (28 enodes) 1540196813.025 * * [misc]simplify: iters left: 4 (46 enodes) 1540196813.032 * * [misc]simplify: iters left: 3 (91 enodes) 1540196813.050 * * [misc]simplify: iters left: 2 (156 enodes) 1540196813.093 * * [misc]simplify: iters left: 1 (239 enodes) 1540196813.152 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196813.152 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196813.152 * * * * [misc]progress: [ 1130 / 6870 ] simplifiying candidate # 1540196813.152 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540196813.152 * * [misc]simplify: iters left: 6 (16 enodes) 1540196813.155 * * [misc]simplify: iters left: 5 (27 enodes) 1540196813.159 * * [misc]simplify: iters left: 4 (36 enodes) 1540196813.163 * * [misc]simplify: iters left: 3 (40 enodes) 1540196813.167 * * [misc]simplify: iters left: 2 (50 enodes) 1540196813.176 * * [misc]simplify: iters left: 1 (59 enodes) 1540196813.193 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196813.193 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196813.193 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196813.193 * * [misc]simplify: iters left: 6 (18 enodes) 1540196813.198 * * [misc]simplify: iters left: 5 (27 enodes) 1540196813.208 * * [misc]simplify: iters left: 4 (45 enodes) 1540196813.221 * * [misc]simplify: iters left: 3 (90 enodes) 1540196813.239 * * [misc]simplify: iters left: 2 (155 enodes) 1540196813.290 * * [misc]simplify: iters left: 1 (239 enodes) 1540196813.369 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196813.369 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196813.369 * * * * [misc]progress: [ 1131 / 6870 ] simplifiying candidate # 1540196813.369 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196813.370 * * [misc]simplify: iters left: 6 (20 enodes) 1540196813.373 * * [misc]simplify: iters left: 5 (32 enodes) 1540196813.378 * * [misc]simplify: iters left: 4 (52 enodes) 1540196813.387 * * [misc]simplify: iters left: 3 (98 enodes) 1540196813.406 * * [misc]simplify: iters left: 2 (235 enodes) 1540196813.501 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) 1540196813.501 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196813.501 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196813.501 * * [misc]simplify: iters left: 6 (19 enodes) 1540196813.504 * * [misc]simplify: iters left: 5 (28 enodes) 1540196813.508 * * [misc]simplify: iters left: 4 (47 enodes) 1540196813.515 * * [misc]simplify: iters left: 3 (95 enodes) 1540196813.539 * * [misc]simplify: iters left: 2 (182 enodes) 1540196813.585 * * [misc]simplify: iters left: 1 (317 enodes) 1540196813.750 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196813.750 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196813.750 * * * * [misc]progress: [ 1132 / 6870 ] simplifiying candidate # 1540196813.751 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196813.751 * * [misc]simplify: iters left: 6 (20 enodes) 1540196813.758 * * [misc]simplify: iters left: 5 (32 enodes) 1540196813.768 * * [misc]simplify: iters left: 4 (52 enodes) 1540196813.776 * * [misc]simplify: iters left: 3 (98 enodes) 1540196813.797 * * [misc]simplify: iters left: 2 (235 enodes) 1540196813.881 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) 1540196813.881 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196813.881 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196813.881 * * [misc]simplify: iters left: 6 (19 enodes) 1540196813.884 * * [misc]simplify: iters left: 5 (28 enodes) 1540196813.888 * * [misc]simplify: iters left: 4 (47 enodes) 1540196813.895 * * [misc]simplify: iters left: 3 (95 enodes) 1540196813.913 * * [misc]simplify: iters left: 2 (182 enodes) 1540196813.965 * * [misc]simplify: iters left: 1 (317 enodes) 1540196814.096 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196814.096 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt 2) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196814.096 * * * * [misc]progress: [ 1133 / 6870 ] simplifiying candidate # 1540196814.096 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196814.097 * * [misc]simplify: iters left: 6 (22 enodes) 1540196814.101 * * [misc]simplify: iters left: 5 (35 enodes) 1540196814.105 * * [misc]simplify: iters left: 4 (61 enodes) 1540196814.116 * * [misc]simplify: iters left: 3 (134 enodes) 1540196814.144 * * [misc]simplify: iters left: 2 (335 enodes) 1540196814.320 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196814.320 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196814.321 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196814.321 * * [misc]simplify: iters left: 6 (20 enodes) 1540196814.324 * * [misc]simplify: iters left: 5 (29 enodes) 1540196814.328 * * [misc]simplify: iters left: 4 (48 enodes) 1540196814.335 * * [misc]simplify: iters left: 3 (96 enodes) 1540196814.356 * * [misc]simplify: iters left: 2 (183 enodes) 1540196814.416 * * [misc]simplify: iters left: 1 (321 enodes) 1540196814.536 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196814.536 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196814.536 * * * * [misc]progress: [ 1134 / 6870 ] simplifiying candidate # 1540196814.536 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196814.537 * * [misc]simplify: iters left: 6 (21 enodes) 1540196814.540 * * [misc]simplify: iters left: 5 (32 enodes) 1540196814.545 * * [misc]simplify: iters left: 4 (52 enodes) 1540196814.553 * * [misc]simplify: iters left: 3 (98 enodes) 1540196814.579 * * [misc]simplify: iters left: 2 (236 enodes) 1540196814.659 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196814.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196814.659 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196814.659 * * [misc]simplify: iters left: 6 (20 enodes) 1540196814.662 * * [misc]simplify: iters left: 5 (29 enodes) 1540196814.669 * * [misc]simplify: iters left: 4 (48 enodes) 1540196814.682 * * [misc]simplify: iters left: 3 (96 enodes) 1540196814.702 * * [misc]simplify: iters left: 2 (183 enodes) 1540196814.763 * * [misc]simplify: iters left: 1 (321 enodes) 1540196814.914 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196814.914 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196814.914 * * * * [misc]progress: [ 1135 / 6870 ] simplifiying candidate # 1540196814.914 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196814.914 * * [misc]simplify: iters left: 6 (19 enodes) 1540196814.917 * * [misc]simplify: iters left: 5 (30 enodes) 1540196814.922 * * [misc]simplify: iters left: 4 (53 enodes) 1540196814.929 * * [misc]simplify: iters left: 3 (81 enodes) 1540196814.948 * * [misc]simplify: iters left: 2 (145 enodes) 1540196814.982 * * [misc]simplify: iters left: 1 (215 enodes) 1540196815.040 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196815.040 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196815.040 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196815.040 * * [misc]simplify: iters left: 6 (19 enodes) 1540196815.043 * * [misc]simplify: iters left: 5 (28 enodes) 1540196815.047 * * [misc]simplify: iters left: 4 (47 enodes) 1540196815.056 * * [misc]simplify: iters left: 3 (95 enodes) 1540196815.073 * * [misc]simplify: iters left: 2 (182 enodes) 1540196815.126 * * [misc]simplify: iters left: 1 (317 enodes) 1540196815.258 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196815.258 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196815.258 * * * * [misc]progress: [ 1136 / 6870 ] simplifiying candidate # 1540196815.258 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196815.258 * * [misc]simplify: iters left: 6 (17 enodes) 1540196815.262 * * [misc]simplify: iters left: 5 (29 enodes) 1540196815.266 * * [misc]simplify: iters left: 4 (46 enodes) 1540196815.274 * * [misc]simplify: iters left: 3 (82 enodes) 1540196815.295 * * [misc]simplify: iters left: 2 (118 enodes) 1540196815.317 * * [misc]simplify: iters left: 1 (199 enodes) 1540196815.382 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt 2))) 1540196815.382 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196815.382 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196815.382 * * [misc]simplify: iters left: 6 (18 enodes) 1540196815.386 * * [misc]simplify: iters left: 5 (27 enodes) 1540196815.394 * * [misc]simplify: iters left: 4 (45 enodes) 1540196815.408 * * [misc]simplify: iters left: 3 (90 enodes) 1540196815.441 * * [misc]simplify: iters left: 2 (155 enodes) 1540196815.476 * * [misc]simplify: iters left: 1 (239 enodes) 1540196815.542 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196815.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt 2))) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196815.542 * * * * [misc]progress: [ 1137 / 6870 ] simplifiying candidate # 1540196815.542 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196815.542 * * [misc]simplify: iters left: 6 (17 enodes) 1540196815.549 * * [misc]simplify: iters left: 5 (29 enodes) 1540196815.558 * * [misc]simplify: iters left: 4 (46 enodes) 1540196815.572 * * [misc]simplify: iters left: 3 (82 enodes) 1540196815.597 * * [misc]simplify: iters left: 2 (118 enodes) 1540196815.623 * * [misc]simplify: iters left: 1 (199 enodes) 1540196815.673 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt 2))) 1540196815.673 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196815.674 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196815.674 * * [misc]simplify: iters left: 6 (18 enodes) 1540196815.676 * * [misc]simplify: iters left: 5 (27 enodes) 1540196815.681 * * [misc]simplify: iters left: 4 (45 enodes) 1540196815.688 * * [misc]simplify: iters left: 3 (90 enodes) 1540196815.703 * * [misc]simplify: iters left: 2 (155 enodes) 1540196815.736 * * [misc]simplify: iters left: 1 (239 enodes) 1540196815.805 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196815.805 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt 2))) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196815.806 * * * * [misc]progress: [ 1138 / 6870 ] simplifiying candidate # 1540196815.806 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196815.806 * * [misc]simplify: iters left: 6 (19 enodes) 1540196815.813 * * [misc]simplify: iters left: 5 (32 enodes) 1540196815.822 * * [misc]simplify: iters left: 4 (55 enodes) 1540196815.842 * * [misc]simplify: iters left: 3 (123 enodes) 1540196815.885 * * [misc]simplify: iters left: 2 (250 enodes) 1540196815.986 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196815.986 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196815.986 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196815.986 * * [misc]simplify: iters left: 6 (19 enodes) 1540196815.991 * * [misc]simplify: iters left: 5 (28 enodes) 1540196815.999 * * [misc]simplify: iters left: 4 (46 enodes) 1540196816.013 * * [misc]simplify: iters left: 3 (91 enodes) 1540196816.048 * * [misc]simplify: iters left: 2 (156 enodes) 1540196816.082 * * [misc]simplify: iters left: 1 (239 enodes) 1540196816.167 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196816.167 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196816.167 * * * * [misc]progress: [ 1139 / 6870 ] simplifiying candidate # 1540196816.168 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196816.168 * * [misc]simplify: iters left: 6 (18 enodes) 1540196816.171 * * [misc]simplify: iters left: 5 (29 enodes) 1540196816.176 * * [misc]simplify: iters left: 4 (46 enodes) 1540196816.183 * * [misc]simplify: iters left: 3 (82 enodes) 1540196816.198 * * [misc]simplify: iters left: 2 (109 enodes) 1540196816.228 * * [misc]simplify: iters left: 1 (181 enodes) 1540196816.288 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) 1540196816.288 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196816.289 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196816.289 * * [misc]simplify: iters left: 6 (19 enodes) 1540196816.291 * * [misc]simplify: iters left: 5 (28 enodes) 1540196816.295 * * [misc]simplify: iters left: 4 (46 enodes) 1540196816.304 * * [misc]simplify: iters left: 3 (91 enodes) 1540196816.320 * * [misc]simplify: iters left: 2 (156 enodes) 1540196816.372 * * [misc]simplify: iters left: 1 (239 enodes) 1540196816.485 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196816.485 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196816.485 * * * * [misc]progress: [ 1140 / 6870 ] simplifiying candidate # 1540196816.485 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540196816.485 * * [misc]simplify: iters left: 6 (16 enodes) 1540196816.491 * * [misc]simplify: iters left: 5 (25 enodes) 1540196816.498 * * [misc]simplify: iters left: 4 (33 enodes) 1540196816.504 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196816.504 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196816.505 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196816.505 * * [misc]simplify: iters left: 6 (18 enodes) 1540196816.509 * * [misc]simplify: iters left: 5 (27 enodes) 1540196816.512 * * [misc]simplify: iters left: 4 (45 enodes) 1540196816.520 * * [misc]simplify: iters left: 3 (90 enodes) 1540196816.536 * * [misc]simplify: iters left: 2 (155 enodes) 1540196816.579 * * [misc]simplify: iters left: 1 (239 enodes) 1540196816.647 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196816.648 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196816.648 * * * * [misc]progress: [ 1141 / 6870 ] simplifiying candidate # 1540196816.648 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540196816.648 * * [misc]simplify: iters left: 6 (15 enodes) 1540196816.651 * * [misc]simplify: iters left: 5 (24 enodes) 1540196816.655 * * [misc]simplify: iters left: 4 (36 enodes) 1540196816.658 * * [misc]simplify: iters left: 3 (38 enodes) 1540196816.662 * * [misc]simplify: iters left: 2 (39 enodes) 1540196816.665 * * [misc]simplify: iters left: 1 (40 enodes) 1540196816.668 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) 1540196816.668 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196816.668 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196816.668 * * [misc]simplify: iters left: 6 (18 enodes) 1540196816.672 * * [misc]simplify: iters left: 5 (27 enodes) 1540196816.676 * * [misc]simplify: iters left: 4 (45 enodes) 1540196816.683 * * [misc]simplify: iters left: 3 (90 enodes) 1540196816.698 * * [misc]simplify: iters left: 2 (155 enodes) 1540196816.731 * * [misc]simplify: iters left: 1 (239 enodes) 1540196816.788 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196816.788 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196816.788 * * * * [misc]progress: [ 1142 / 6870 ] simplifiying candidate # 1540196816.789 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540196816.789 * * [misc]simplify: iters left: 6 (17 enodes) 1540196816.792 * * [misc]simplify: iters left: 5 (26 enodes) 1540196816.795 * * [misc]simplify: iters left: 4 (38 enodes) 1540196816.804 * * [misc]simplify: iters left: 3 (62 enodes) 1540196816.823 * * [misc]simplify: iters left: 2 (109 enodes) 1540196816.839 * * [misc]simplify: iters left: 1 (188 enodes) 1540196816.870 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540196816.870 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196816.870 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196816.870 * * [misc]simplify: iters left: 6 (19 enodes) 1540196816.876 * * [misc]simplify: iters left: 5 (30 enodes) 1540196816.884 * * [misc]simplify: iters left: 4 (47 enodes) 1540196816.897 * * [misc]simplify: iters left: 3 (99 enodes) 1540196816.927 * * [misc]simplify: iters left: 2 (206 enodes) 1540196817.034 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196817.034 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))))) 1540196817.034 * * * * [misc]progress: [ 1143 / 6870 ] simplifiying candidate # 1540196817.034 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196817.035 * * [misc]simplify: iters left: 6 (19 enodes) 1540196817.041 * * [misc]simplify: iters left: 5 (31 enodes) 1540196817.050 * * [misc]simplify: iters left: 4 (51 enodes) 1540196817.063 * * [misc]simplify: iters left: 3 (97 enodes) 1540196817.081 * * [misc]simplify: iters left: 2 (209 enodes) 1540196817.152 * * [misc]simplify: iters left: 1 (490 enodes) 1540196817.521 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) 1540196817.521 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196817.521 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196817.522 * * [misc]simplify: iters left: 6 (17 enodes) 1540196817.524 * * [misc]simplify: iters left: 5 (24 enodes) 1540196817.527 * * [misc]simplify: iters left: 4 (35 enodes) 1540196817.532 * * [misc]simplify: iters left: 3 (50 enodes) 1540196817.538 * * [misc]simplify: iters left: 2 (67 enodes) 1540196817.550 * * [misc]simplify: iters left: 1 (84 enodes) 1540196817.564 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196817.564 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) (* (/ (pow PI (/ (- k) 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))))) 1540196817.564 * * * * [misc]progress: [ 1144 / 6870 ] simplifiying candidate # 1540196817.564 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196817.564 * * [misc]simplify: iters left: 6 (18 enodes) 1540196817.567 * * [misc]simplify: iters left: 5 (29 enodes) 1540196817.571 * * [misc]simplify: iters left: 4 (38 enodes) 1540196817.576 * * [misc]simplify: iters left: 3 (60 enodes) 1540196817.588 * * [misc]simplify: iters left: 2 (109 enodes) 1540196817.614 * * [misc]simplify: iters left: 1 (148 enodes) 1540196817.662 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196817.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196817.662 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196817.662 * * [misc]simplify: iters left: 6 (18 enodes) 1540196817.667 * * [misc]simplify: iters left: 5 (25 enodes) 1540196817.673 * * [misc]simplify: iters left: 4 (36 enodes) 1540196817.683 * * [misc]simplify: iters left: 3 (51 enodes) 1540196817.699 * * [misc]simplify: iters left: 2 (68 enodes) 1540196817.711 * * [misc]simplify: iters left: 1 (85 enodes) 1540196817.722 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196817.722 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196817.722 * * * * [misc]progress: [ 1145 / 6870 ] simplifiying candidate # 1540196817.723 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196817.723 * * [misc]simplify: iters left: 6 (17 enodes) 1540196817.726 * * [misc]simplify: iters left: 5 (26 enodes) 1540196817.729 * * [misc]simplify: iters left: 4 (30 enodes) 1540196817.734 * * [misc]simplify: iters left: 3 (40 enodes) 1540196817.741 * * [misc]simplify: iters left: 2 (48 enodes) 1540196817.750 * * [misc]simplify: iters left: 1 (58 enodes) 1540196817.758 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196817.758 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196817.758 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196817.758 * * [misc]simplify: iters left: 6 (18 enodes) 1540196817.760 * * [misc]simplify: iters left: 5 (25 enodes) 1540196817.764 * * [misc]simplify: iters left: 4 (36 enodes) 1540196817.769 * * [misc]simplify: iters left: 3 (51 enodes) 1540196817.782 * * [misc]simplify: iters left: 2 (68 enodes) 1540196817.797 * * [misc]simplify: iters left: 1 (85 enodes) 1540196817.820 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196817.820 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196817.820 * * * * [misc]progress: [ 1146 / 6870 ] simplifiying candidate # 1540196817.821 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196817.821 * * [misc]simplify: iters left: 6 (16 enodes) 1540196817.828 * * [misc]simplify: iters left: 5 (28 enodes) 1540196817.836 * * [misc]simplify: iters left: 4 (43 enodes) 1540196817.851 * * [misc]simplify: iters left: 3 (98 enodes) 1540196817.890 * * [misc]simplify: iters left: 2 (240 enodes) 1540196818.014 * * [misc]simplify: iters left: 1 (402 enodes) 1540196818.198 * [exit]simplify: Simplified to (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540196818.198 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196818.199 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196818.199 * * [misc]simplify: iters left: 6 (18 enodes) 1540196818.204 * * [misc]simplify: iters left: 5 (27 enodes) 1540196818.209 * * [misc]simplify: iters left: 4 (46 enodes) 1540196818.217 * * [misc]simplify: iters left: 3 (94 enodes) 1540196818.240 * * [misc]simplify: iters left: 2 (181 enodes) 1540196818.288 * * [misc]simplify: iters left: 1 (322 enodes) 1540196818.418 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196818.418 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196818.418 * * * * [misc]progress: [ 1147 / 6870 ] simplifiying candidate # 1540196818.418 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196818.418 * * [misc]simplify: iters left: 6 (16 enodes) 1540196818.422 * * [misc]simplify: iters left: 5 (28 enodes) 1540196818.426 * * [misc]simplify: iters left: 4 (43 enodes) 1540196818.436 * * [misc]simplify: iters left: 3 (98 enodes) 1540196818.459 * * [misc]simplify: iters left: 2 (240 enodes) 1540196818.567 * * [misc]simplify: iters left: 1 (402 enodes) 1540196818.763 * [exit]simplify: Simplified to (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540196818.763 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196818.764 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196818.764 * * [misc]simplify: iters left: 6 (18 enodes) 1540196818.768 * * [misc]simplify: iters left: 5 (27 enodes) 1540196818.772 * * [misc]simplify: iters left: 4 (46 enodes) 1540196818.782 * * [misc]simplify: iters left: 3 (94 enodes) 1540196818.805 * * [misc]simplify: iters left: 2 (181 enodes) 1540196818.853 * * [misc]simplify: iters left: 1 (322 enodes) 1540196818.984 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196818.984 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196818.984 * * * * [misc]progress: [ 1148 / 6870 ] simplifiying candidate # 1540196818.985 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196818.985 * * [misc]simplify: iters left: 6 (20 enodes) 1540196818.990 * * [misc]simplify: iters left: 5 (37 enodes) 1540196818.996 * * [misc]simplify: iters left: 4 (73 enodes) 1540196819.010 * * [misc]simplify: iters left: 3 (190 enodes) 1540196819.083 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196819.083 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196819.083 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196819.084 * * [misc]simplify: iters left: 6 (19 enodes) 1540196819.086 * * [misc]simplify: iters left: 5 (28 enodes) 1540196819.090 * * [misc]simplify: iters left: 4 (47 enodes) 1540196819.097 * * [misc]simplify: iters left: 3 (95 enodes) 1540196819.115 * * [misc]simplify: iters left: 2 (182 enodes) 1540196819.164 * * [misc]simplify: iters left: 1 (322 enodes) 1540196819.292 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196819.292 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196819.292 * * * * [misc]progress: [ 1149 / 6870 ] simplifiying candidate # 1540196819.292 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196819.292 * * [misc]simplify: iters left: 6 (19 enodes) 1540196819.296 * * [misc]simplify: iters left: 5 (32 enodes) 1540196819.300 * * [misc]simplify: iters left: 4 (50 enodes) 1540196819.310 * * [misc]simplify: iters left: 3 (105 enodes) 1540196819.333 * * [misc]simplify: iters left: 2 (253 enodes) 1540196819.472 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (sqrt (sqrt k)))) 1540196819.472 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196819.473 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196819.473 * * [misc]simplify: iters left: 6 (19 enodes) 1540196819.476 * * [misc]simplify: iters left: 5 (28 enodes) 1540196819.484 * * [misc]simplify: iters left: 4 (47 enodes) 1540196819.496 * * [misc]simplify: iters left: 3 (95 enodes) 1540196819.515 * * [misc]simplify: iters left: 2 (182 enodes) 1540196819.561 * * [misc]simplify: iters left: 1 (322 enodes) 1540196819.708 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196819.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (sqrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196819.708 * * * * [misc]progress: [ 1150 / 6870 ] simplifiying candidate # 1540196819.709 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196819.709 * * [misc]simplify: iters left: 6 (14 enodes) 1540196819.712 * * [misc]simplify: iters left: 5 (25 enodes) 1540196819.716 * * [misc]simplify: iters left: 4 (34 enodes) 1540196819.720 * * [misc]simplify: iters left: 3 (46 enodes) 1540196819.725 * * [misc]simplify: iters left: 2 (70 enodes) 1540196819.744 * * [misc]simplify: iters left: 1 (100 enodes) 1540196819.773 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1540196819.773 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196819.774 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196819.774 * * [misc]simplify: iters left: 6 (18 enodes) 1540196819.779 * * [misc]simplify: iters left: 5 (27 enodes) 1540196819.787 * * [misc]simplify: iters left: 4 (46 enodes) 1540196819.802 * * [misc]simplify: iters left: 3 (94 enodes) 1540196819.837 * * [misc]simplify: iters left: 2 (181 enodes) 1540196819.905 * * [misc]simplify: iters left: 1 (322 enodes) 1540196820.057 * [exit]simplify: Simplified to (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196820.057 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196820.057 * * * * [misc]progress: [ 1151 / 6870 ] simplifiying candidate # 1540196820.058 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196820.058 * * [misc]simplify: iters left: 6 (16 enodes) 1540196820.065 * * [misc]simplify: iters left: 5 (27 enodes) 1540196820.070 * * [misc]simplify: iters left: 4 (33 enodes) 1540196820.075 * * [misc]simplify: iters left: 3 (54 enodes) 1540196820.084 * * [misc]simplify: iters left: 2 (93 enodes) 1540196820.104 * * [misc]simplify: iters left: 1 (154 enodes) 1540196820.148 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540196820.148 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196820.149 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196820.149 * * [misc]simplify: iters left: 6 (19 enodes) 1540196820.151 * * [misc]simplify: iters left: 5 (28 enodes) 1540196820.156 * * [misc]simplify: iters left: 4 (47 enodes) 1540196820.169 * * [misc]simplify: iters left: 3 (95 enodes) 1540196820.188 * * [misc]simplify: iters left: 2 (182 enodes) 1540196820.256 * * [misc]simplify: iters left: 1 (322 enodes) 1540196820.381 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196820.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196820.381 * * * * [misc]progress: [ 1152 / 6870 ] simplifiying candidate # 1540196820.382 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196820.382 * * [misc]simplify: iters left: 6 (16 enodes) 1540196820.385 * * [misc]simplify: iters left: 5 (27 enodes) 1540196820.389 * * [misc]simplify: iters left: 4 (33 enodes) 1540196820.394 * * [misc]simplify: iters left: 3 (54 enodes) 1540196820.407 * * [misc]simplify: iters left: 2 (93 enodes) 1540196820.429 * * [misc]simplify: iters left: 1 (154 enodes) 1540196820.473 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540196820.473 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196820.473 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196820.474 * * [misc]simplify: iters left: 6 (19 enodes) 1540196820.477 * * [misc]simplify: iters left: 5 (28 enodes) 1540196820.484 * * [misc]simplify: iters left: 4 (47 enodes) 1540196820.492 * * [misc]simplify: iters left: 3 (95 enodes) 1540196820.510 * * [misc]simplify: iters left: 2 (182 enodes) 1540196820.566 * * [misc]simplify: iters left: 1 (322 enodes) 1540196820.730 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196820.730 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196820.730 * * * * [misc]progress: [ 1153 / 6870 ] simplifiying candidate # 1540196820.731 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196820.731 * * [misc]simplify: iters left: 6 (20 enodes) 1540196820.738 * * [misc]simplify: iters left: 5 (34 enodes) 1540196820.747 * * [misc]simplify: iters left: 4 (48 enodes) 1540196820.762 * * [misc]simplify: iters left: 3 (76 enodes) 1540196820.789 * * [misc]simplify: iters left: 2 (137 enodes) 1540196820.837 * * [misc]simplify: iters left: 1 (285 enodes) 1540196821.075 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) 1540196821.075 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196821.075 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196821.075 * * [misc]simplify: iters left: 6 (20 enodes) 1540196821.078 * * [misc]simplify: iters left: 5 (29 enodes) 1540196821.085 * * [misc]simplify: iters left: 4 (48 enodes) 1540196821.093 * * [misc]simplify: iters left: 3 (96 enodes) 1540196821.113 * * [misc]simplify: iters left: 2 (183 enodes) 1540196821.153 * * [misc]simplify: iters left: 1 (327 enodes) 1540196821.269 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196821.269 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196821.269 * * * * [misc]progress: [ 1154 / 6870 ] simplifiying candidate # 1540196821.269 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196821.270 * * [misc]simplify: iters left: 6 (19 enodes) 1540196821.276 * * [misc]simplify: iters left: 5 (31 enodes) 1540196821.282 * * [misc]simplify: iters left: 4 (40 enodes) 1540196821.288 * * [misc]simplify: iters left: 3 (61 enodes) 1540196821.298 * * [misc]simplify: iters left: 2 (86 enodes) 1540196821.313 * * [misc]simplify: iters left: 1 (159 enodes) 1540196821.371 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196821.371 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196821.371 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196821.371 * * [misc]simplify: iters left: 6 (20 enodes) 1540196821.374 * * [misc]simplify: iters left: 5 (29 enodes) 1540196821.392 * * [misc]simplify: iters left: 4 (48 enodes) 1540196821.399 * * [misc]simplify: iters left: 3 (96 enodes) 1540196821.417 * * [misc]simplify: iters left: 2 (183 enodes) 1540196821.467 * * [misc]simplify: iters left: 1 (327 enodes) 1540196821.596 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196821.596 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196821.597 * * * * [misc]progress: [ 1155 / 6870 ] simplifiying candidate # 1540196821.597 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196821.597 * * [misc]simplify: iters left: 6 (14 enodes) 1540196821.602 * * [misc]simplify: iters left: 5 (23 enodes) 1540196821.605 * * [misc]simplify: iters left: 4 (30 enodes) 1540196821.609 * * [misc]simplify: iters left: 3 (36 enodes) 1540196821.614 * * [misc]simplify: iters left: 2 (42 enodes) 1540196821.619 * * [misc]simplify: iters left: 1 (49 enodes) 1540196821.626 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540196821.626 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196821.626 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196821.626 * * [misc]simplify: iters left: 6 (19 enodes) 1540196821.629 * * [misc]simplify: iters left: 5 (28 enodes) 1540196821.633 * * [misc]simplify: iters left: 4 (47 enodes) 1540196821.640 * * [misc]simplify: iters left: 3 (95 enodes) 1540196821.658 * * [misc]simplify: iters left: 2 (182 enodes) 1540196821.703 * * [misc]simplify: iters left: 1 (322 enodes) 1540196821.830 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196821.830 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196821.831 * * * * [misc]progress: [ 1156 / 6870 ] simplifiying candidate # 1540196821.831 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196821.831 * * [misc]simplify: iters left: 6 (15 enodes) 1540196821.834 * * [misc]simplify: iters left: 5 (25 enodes) 1540196821.838 * * [misc]simplify: iters left: 4 (31 enodes) 1540196821.843 * * [misc]simplify: iters left: 3 (54 enodes) 1540196821.851 * * [misc]simplify: iters left: 2 (95 enodes) 1540196821.883 * * [misc]simplify: iters left: 1 (155 enodes) 1540196821.934 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196821.934 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196821.934 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196821.934 * * [misc]simplify: iters left: 6 (18 enodes) 1540196821.937 * * [misc]simplify: iters left: 5 (27 enodes) 1540196821.941 * * [misc]simplify: iters left: 4 (46 enodes) 1540196821.948 * * [misc]simplify: iters left: 3 (94 enodes) 1540196821.965 * * [misc]simplify: iters left: 2 (181 enodes) 1540196822.013 * * [misc]simplify: iters left: 1 (322 enodes) 1540196822.154 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196822.154 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196822.154 * * * * [misc]progress: [ 1157 / 6870 ] simplifiying candidate # 1540196822.154 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196822.154 * * [misc]simplify: iters left: 6 (15 enodes) 1540196822.158 * * [misc]simplify: iters left: 5 (25 enodes) 1540196822.161 * * [misc]simplify: iters left: 4 (31 enodes) 1540196822.167 * * [misc]simplify: iters left: 3 (54 enodes) 1540196822.175 * * [misc]simplify: iters left: 2 (95 enodes) 1540196822.198 * * [misc]simplify: iters left: 1 (155 enodes) 1540196822.257 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196822.257 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196822.257 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196822.257 * * [misc]simplify: iters left: 6 (18 enodes) 1540196822.262 * * [misc]simplify: iters left: 5 (27 enodes) 1540196822.270 * * [misc]simplify: iters left: 4 (46 enodes) 1540196822.283 * * [misc]simplify: iters left: 3 (94 enodes) 1540196822.304 * * [misc]simplify: iters left: 2 (181 enodes) 1540196822.364 * * [misc]simplify: iters left: 1 (322 enodes) 1540196822.568 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196822.568 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196822.568 * * * * [misc]progress: [ 1158 / 6870 ] simplifiying candidate # 1540196822.569 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196822.569 * * [misc]simplify: iters left: 6 (19 enodes) 1540196822.576 * * [misc]simplify: iters left: 5 (32 enodes) 1540196822.585 * * [misc]simplify: iters left: 4 (46 enodes) 1540196822.599 * * [misc]simplify: iters left: 3 (82 enodes) 1540196822.619 * * [misc]simplify: iters left: 2 (173 enodes) 1540196822.699 * * [misc]simplify: iters left: 1 (475 enodes) 1540196823.278 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196823.278 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196823.279 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196823.279 * * [misc]simplify: iters left: 6 (19 enodes) 1540196823.281 * * [misc]simplify: iters left: 5 (28 enodes) 1540196823.285 * * [misc]simplify: iters left: 4 (47 enodes) 1540196823.292 * * [misc]simplify: iters left: 3 (95 enodes) 1540196823.325 * * [misc]simplify: iters left: 2 (182 enodes) 1540196823.365 * * [misc]simplify: iters left: 1 (322 enodes) 1540196823.498 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196823.498 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196823.498 * * * * [misc]progress: [ 1159 / 6870 ] simplifiying candidate # 1540196823.499 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196823.499 * * [misc]simplify: iters left: 6 (18 enodes) 1540196823.502 * * [misc]simplify: iters left: 5 (29 enodes) 1540196823.506 * * [misc]simplify: iters left: 4 (38 enodes) 1540196823.512 * * [misc]simplify: iters left: 3 (61 enodes) 1540196823.520 * * [misc]simplify: iters left: 2 (88 enodes) 1540196823.538 * * [misc]simplify: iters left: 1 (160 enodes) 1540196823.598 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196823.599 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196823.599 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196823.599 * * [misc]simplify: iters left: 6 (19 enodes) 1540196823.605 * * [misc]simplify: iters left: 5 (28 enodes) 1540196823.613 * * [misc]simplify: iters left: 4 (47 enodes) 1540196823.626 * * [misc]simplify: iters left: 3 (95 enodes) 1540196823.666 * * [misc]simplify: iters left: 2 (182 enodes) 1540196823.715 * * [misc]simplify: iters left: 1 (322 enodes) 1540196823.845 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196823.845 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196823.845 * * * * [misc]progress: [ 1160 / 6870 ] simplifiying candidate # 1540196823.845 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196823.845 * * [misc]simplify: iters left: 6 (13 enodes) 1540196823.848 * * [misc]simplify: iters left: 5 (22 enodes) 1540196823.851 * * [misc]simplify: iters left: 4 (31 enodes) 1540196823.855 * * [misc]simplify: iters left: 3 (35 enodes) 1540196823.859 * * [misc]simplify: iters left: 2 (42 enodes) 1540196823.863 * * [misc]simplify: iters left: 1 (50 enodes) 1540196823.877 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196823.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196823.877 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196823.877 * * [misc]simplify: iters left: 6 (18 enodes) 1540196823.880 * * [misc]simplify: iters left: 5 (27 enodes) 1540196823.883 * * [misc]simplify: iters left: 4 (46 enodes) 1540196823.890 * * [misc]simplify: iters left: 3 (94 enodes) 1540196823.908 * * [misc]simplify: iters left: 2 (181 enodes) 1540196823.973 * * [misc]simplify: iters left: 1 (322 enodes) 1540196824.084 * [exit]simplify: Simplified to (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196824.084 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196824.084 * * * * [misc]progress: [ 1161 / 6870 ] simplifiying candidate # 1540196824.084 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540196824.085 * * [misc]simplify: iters left: 6 (11 enodes) 1540196824.088 * * [misc]simplify: iters left: 5 (21 enodes) 1540196824.091 * * [misc]simplify: iters left: 4 (26 enodes) 1540196824.095 * * [misc]simplify: iters left: 3 (34 enodes) 1540196824.099 * * [misc]simplify: iters left: 2 (40 enodes) 1540196824.105 * * [misc]simplify: iters left: 1 (47 enodes) 1540196824.112 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540196824.112 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196824.112 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196824.112 * * [misc]simplify: iters left: 6 (17 enodes) 1540196824.114 * * [misc]simplify: iters left: 5 (26 enodes) 1540196824.118 * * [misc]simplify: iters left: 4 (44 enodes) 1540196824.125 * * [misc]simplify: iters left: 3 (89 enodes) 1540196824.153 * * [misc]simplify: iters left: 2 (154 enodes) 1540196824.190 * * [misc]simplify: iters left: 1 (238 enodes) 1540196824.262 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540196824.262 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1540196824.262 * * * * [misc]progress: [ 1162 / 6870 ] simplifiying candidate # 1540196824.262 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540196824.263 * * [misc]simplify: iters left: 6 (11 enodes) 1540196824.266 * * [misc]simplify: iters left: 5 (21 enodes) 1540196824.269 * * [misc]simplify: iters left: 4 (26 enodes) 1540196824.273 * * [misc]simplify: iters left: 3 (34 enodes) 1540196824.277 * * [misc]simplify: iters left: 2 (40 enodes) 1540196824.283 * * [misc]simplify: iters left: 1 (47 enodes) 1540196824.290 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540196824.290 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196824.290 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196824.291 * * [misc]simplify: iters left: 6 (17 enodes) 1540196824.293 * * [misc]simplify: iters left: 5 (26 enodes) 1540196824.297 * * [misc]simplify: iters left: 4 (44 enodes) 1540196824.304 * * [misc]simplify: iters left: 3 (89 enodes) 1540196824.322 * * [misc]simplify: iters left: 2 (154 enodes) 1540196824.388 * * [misc]simplify: iters left: 1 (238 enodes) 1540196824.469 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540196824.469 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1540196824.469 * * * * [misc]progress: [ 1163 / 6870 ] simplifiying candidate # 1540196824.470 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196824.470 * * [misc]simplify: iters left: 6 (16 enodes) 1540196824.473 * * [misc]simplify: iters left: 5 (29 enodes) 1540196824.477 * * [misc]simplify: iters left: 4 (45 enodes) 1540196824.485 * * [misc]simplify: iters left: 3 (74 enodes) 1540196824.497 * * [misc]simplify: iters left: 2 (112 enodes) 1540196824.520 * * [misc]simplify: iters left: 1 (172 enodes) 1540196824.587 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196824.587 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196824.588 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196824.588 * * [misc]simplify: iters left: 6 (18 enodes) 1540196824.592 * * [misc]simplify: iters left: 5 (27 enodes) 1540196824.600 * * [misc]simplify: iters left: 4 (45 enodes) 1540196824.615 * * [misc]simplify: iters left: 3 (90 enodes) 1540196824.641 * * [misc]simplify: iters left: 2 (155 enodes) 1540196824.683 * * [misc]simplify: iters left: 1 (239 enodes) 1540196824.756 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540196824.756 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1540196824.756 * * * * [misc]progress: [ 1164 / 6870 ] simplifiying candidate # 1540196824.756 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196824.756 * * [misc]simplify: iters left: 6 (15 enodes) 1540196824.759 * * [misc]simplify: iters left: 5 (26 enodes) 1540196824.763 * * [misc]simplify: iters left: 4 (35 enodes) 1540196824.767 * * [misc]simplify: iters left: 3 (43 enodes) 1540196824.772 * * [misc]simplify: iters left: 2 (49 enodes) 1540196824.784 * * [misc]simplify: iters left: 1 (56 enodes) 1540196824.793 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) 1540196824.793 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196824.793 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196824.793 * * [misc]simplify: iters left: 6 (18 enodes) 1540196824.796 * * [misc]simplify: iters left: 5 (27 enodes) 1540196824.800 * * [misc]simplify: iters left: 4 (45 enodes) 1540196824.807 * * [misc]simplify: iters left: 3 (90 enodes) 1540196824.823 * * [misc]simplify: iters left: 2 (155 enodes) 1540196824.856 * * [misc]simplify: iters left: 1 (239 enodes) 1540196824.913 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540196824.913 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1540196824.913 * * * * [misc]progress: [ 1165 / 6870 ] simplifiying candidate # 1540196824.913 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt 1) 1)) 1540196824.913 * * [misc]simplify: iters left: 6 (8 enodes) 1540196824.917 * * [misc]simplify: iters left: 5 (17 enodes) 1540196824.918 * [exit]simplify: Simplified to (sqrt PI) 1540196824.918 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196824.919 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196824.919 * * [misc]simplify: iters left: 6 (17 enodes) 1540196824.921 * * [misc]simplify: iters left: 5 (26 enodes) 1540196824.925 * * [misc]simplify: iters left: 4 (44 enodes) 1540196824.932 * * [misc]simplify: iters left: 3 (89 enodes) 1540196824.948 * * [misc]simplify: iters left: 2 (154 enodes) 1540196824.993 * * [misc]simplify: iters left: 1 (238 enodes) 1540196825.051 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196825.051 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196825.051 * * * * [misc]progress: [ 1166 / 6870 ] simplifiying candidate # 1540196825.051 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196825.051 * * [misc]simplify: iters left: 6 (15 enodes) 1540196825.054 * * [misc]simplify: iters left: 5 (25 enodes) 1540196825.059 * * [misc]simplify: iters left: 4 (31 enodes) 1540196825.064 * * [misc]simplify: iters left: 3 (54 enodes) 1540196825.078 * * [misc]simplify: iters left: 2 (95 enodes) 1540196825.102 * * [misc]simplify: iters left: 1 (155 enodes) 1540196825.150 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196825.150 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196825.151 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196825.151 * * [misc]simplify: iters left: 6 (18 enodes) 1540196825.153 * * [misc]simplify: iters left: 5 (27 enodes) 1540196825.157 * * [misc]simplify: iters left: 4 (46 enodes) 1540196825.164 * * [misc]simplify: iters left: 3 (94 enodes) 1540196825.185 * * [misc]simplify: iters left: 2 (181 enodes) 1540196825.231 * * [misc]simplify: iters left: 1 (322 enodes) 1540196825.360 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196825.360 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196825.360 * * * * [misc]progress: [ 1167 / 6870 ] simplifiying candidate # 1540196825.360 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196825.360 * * [misc]simplify: iters left: 6 (15 enodes) 1540196825.364 * * [misc]simplify: iters left: 5 (25 enodes) 1540196825.367 * * [misc]simplify: iters left: 4 (31 enodes) 1540196825.372 * * [misc]simplify: iters left: 3 (54 enodes) 1540196825.381 * * [misc]simplify: iters left: 2 (95 enodes) 1540196825.401 * * [misc]simplify: iters left: 1 (155 enodes) 1540196825.449 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196825.449 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196825.450 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196825.450 * * [misc]simplify: iters left: 6 (18 enodes) 1540196825.455 * * [misc]simplify: iters left: 5 (27 enodes) 1540196825.463 * * [misc]simplify: iters left: 4 (46 enodes) 1540196825.470 * * [misc]simplify: iters left: 3 (94 enodes) 1540196825.488 * * [misc]simplify: iters left: 2 (181 enodes) 1540196825.530 * * [misc]simplify: iters left: 1 (322 enodes) 1540196825.664 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196825.664 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196825.664 * * * * [misc]progress: [ 1168 / 6870 ] simplifiying candidate # 1540196825.664 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196825.664 * * [misc]simplify: iters left: 6 (19 enodes) 1540196825.668 * * [misc]simplify: iters left: 5 (32 enodes) 1540196825.672 * * [misc]simplify: iters left: 4 (46 enodes) 1540196825.682 * * [misc]simplify: iters left: 3 (82 enodes) 1540196825.710 * * [misc]simplify: iters left: 2 (173 enodes) 1540196825.779 * * [misc]simplify: iters left: 1 (475 enodes) 1540196826.324 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196826.325 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196826.325 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196826.325 * * [misc]simplify: iters left: 6 (19 enodes) 1540196826.331 * * [misc]simplify: iters left: 5 (28 enodes) 1540196826.339 * * [misc]simplify: iters left: 4 (47 enodes) 1540196826.353 * * [misc]simplify: iters left: 3 (95 enodes) 1540196826.380 * * [misc]simplify: iters left: 2 (182 enodes) 1540196826.424 * * [misc]simplify: iters left: 1 (322 enodes) 1540196826.573 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196826.573 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196826.573 * * * * [misc]progress: [ 1169 / 6870 ] simplifiying candidate # 1540196826.574 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196826.574 * * [misc]simplify: iters left: 6 (18 enodes) 1540196826.577 * * [misc]simplify: iters left: 5 (29 enodes) 1540196826.583 * * [misc]simplify: iters left: 4 (38 enodes) 1540196826.594 * * [misc]simplify: iters left: 3 (61 enodes) 1540196826.611 * * [misc]simplify: iters left: 2 (88 enodes) 1540196826.632 * * [misc]simplify: iters left: 1 (160 enodes) 1540196826.698 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196826.698 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196826.698 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196826.698 * * [misc]simplify: iters left: 6 (19 enodes) 1540196826.701 * * [misc]simplify: iters left: 5 (28 enodes) 1540196826.705 * * [misc]simplify: iters left: 4 (47 enodes) 1540196826.712 * * [misc]simplify: iters left: 3 (95 enodes) 1540196826.733 * * [misc]simplify: iters left: 2 (182 enodes) 1540196826.776 * * [misc]simplify: iters left: 1 (322 enodes) 1540196826.898 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196826.898 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196826.898 * * * * [misc]progress: [ 1170 / 6870 ] simplifiying candidate # 1540196826.898 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196826.898 * * [misc]simplify: iters left: 6 (13 enodes) 1540196826.901 * * [misc]simplify: iters left: 5 (22 enodes) 1540196826.904 * * [misc]simplify: iters left: 4 (31 enodes) 1540196826.908 * * [misc]simplify: iters left: 3 (35 enodes) 1540196826.912 * * [misc]simplify: iters left: 2 (42 enodes) 1540196826.916 * * [misc]simplify: iters left: 1 (50 enodes) 1540196826.922 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196826.923 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196826.923 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196826.923 * * [misc]simplify: iters left: 6 (18 enodes) 1540196826.925 * * [misc]simplify: iters left: 5 (27 enodes) 1540196826.929 * * [misc]simplify: iters left: 4 (46 enodes) 1540196826.938 * * [misc]simplify: iters left: 3 (94 enodes) 1540196826.960 * * [misc]simplify: iters left: 2 (181 enodes) 1540196827.009 * * [misc]simplify: iters left: 1 (322 enodes) 1540196827.162 * [exit]simplify: Simplified to (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196827.162 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196827.162 * * * * [misc]progress: [ 1171 / 6870 ] simplifiying candidate # 1540196827.163 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ 1 (pow 2 1/2))) 1540196827.163 * * [misc]simplify: iters left: 6 (11 enodes) 1540196827.166 * * [misc]simplify: iters left: 5 (21 enodes) 1540196827.170 * * [misc]simplify: iters left: 4 (25 enodes) 1540196827.173 * * [misc]simplify: iters left: 3 (30 enodes) 1540196827.177 * * [misc]simplify: iters left: 2 (36 enodes) 1540196827.183 * * [misc]simplify: iters left: 1 (44 enodes) 1540196827.195 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540196827.196 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196827.196 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196827.196 * * [misc]simplify: iters left: 6 (17 enodes) 1540196827.198 * * [misc]simplify: iters left: 5 (26 enodes) 1540196827.203 * * [misc]simplify: iters left: 4 (44 enodes) 1540196827.210 * * [misc]simplify: iters left: 3 (89 enodes) 1540196827.226 * * [misc]simplify: iters left: 2 (154 enodes) 1540196827.268 * * [misc]simplify: iters left: 1 (238 enodes) 1540196827.339 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540196827.339 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1540196827.339 * * * * [misc]progress: [ 1172 / 6870 ] simplifiying candidate # 1540196827.339 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ 1 (pow 2 1/2))) 1540196827.339 * * [misc]simplify: iters left: 6 (11 enodes) 1540196827.343 * * [misc]simplify: iters left: 5 (21 enodes) 1540196827.347 * * [misc]simplify: iters left: 4 (25 enodes) 1540196827.350 * * [misc]simplify: iters left: 3 (30 enodes) 1540196827.353 * * [misc]simplify: iters left: 2 (36 enodes) 1540196827.359 * * [misc]simplify: iters left: 1 (44 enodes) 1540196827.365 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540196827.365 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196827.365 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196827.365 * * [misc]simplify: iters left: 6 (17 enodes) 1540196827.368 * * [misc]simplify: iters left: 5 (26 enodes) 1540196827.372 * * [misc]simplify: iters left: 4 (44 enodes) 1540196827.378 * * [misc]simplify: iters left: 3 (89 enodes) 1540196827.394 * * [misc]simplify: iters left: 2 (154 enodes) 1540196827.438 * * [misc]simplify: iters left: 1 (238 enodes) 1540196827.499 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540196827.499 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1540196827.499 * * * * [misc]progress: [ 1173 / 6870 ] simplifiying candidate # 1540196827.499 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196827.499 * * [misc]simplify: iters left: 6 (16 enodes) 1540196827.503 * * [misc]simplify: iters left: 5 (29 enodes) 1540196827.507 * * [misc]simplify: iters left: 4 (41 enodes) 1540196827.514 * * [misc]simplify: iters left: 3 (58 enodes) 1540196827.523 * * [misc]simplify: iters left: 2 (81 enodes) 1540196827.537 * * [misc]simplify: iters left: 1 (147 enodes) 1540196827.598 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196827.598 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196827.599 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196827.599 * * [misc]simplify: iters left: 6 (18 enodes) 1540196827.604 * * [misc]simplify: iters left: 5 (27 enodes) 1540196827.610 * * [misc]simplify: iters left: 4 (45 enodes) 1540196827.617 * * [misc]simplify: iters left: 3 (90 enodes) 1540196827.634 * * [misc]simplify: iters left: 2 (155 enodes) 1540196827.674 * * [misc]simplify: iters left: 1 (239 enodes) 1540196827.738 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540196827.738 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1540196827.738 * * * * [misc]progress: [ 1174 / 6870 ] simplifiying candidate # 1540196827.739 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196827.739 * * [misc]simplify: iters left: 6 (15 enodes) 1540196827.742 * * [misc]simplify: iters left: 5 (26 enodes) 1540196827.746 * * [misc]simplify: iters left: 4 (33 enodes) 1540196827.749 * * [misc]simplify: iters left: 3 (38 enodes) 1540196827.753 * * [misc]simplify: iters left: 2 (46 enodes) 1540196827.758 * * [misc]simplify: iters left: 1 (55 enodes) 1540196827.766 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) 1540196827.766 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196827.766 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196827.766 * * [misc]simplify: iters left: 6 (18 enodes) 1540196827.770 * * [misc]simplify: iters left: 5 (27 enodes) 1540196827.777 * * [misc]simplify: iters left: 4 (45 enodes) 1540196827.785 * * [misc]simplify: iters left: 3 (90 enodes) 1540196827.803 * * [misc]simplify: iters left: 2 (155 enodes) 1540196827.840 * * [misc]simplify: iters left: 1 (239 enodes) 1540196827.907 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540196827.907 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1540196827.907 * * * * [misc]progress: [ 1175 / 6870 ] simplifiying candidate # 1540196827.907 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ 1 1)) 1540196827.907 * * [misc]simplify: iters left: 6 (9 enodes) 1540196827.909 * * [misc]simplify: iters left: 5 (16 enodes) 1540196827.911 * [exit]simplify: Simplified to (sqrt PI) 1540196827.911 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196827.911 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196827.912 * * [misc]simplify: iters left: 6 (17 enodes) 1540196827.914 * * [misc]simplify: iters left: 5 (26 enodes) 1540196827.918 * * [misc]simplify: iters left: 4 (44 enodes) 1540196827.925 * * [misc]simplify: iters left: 3 (89 enodes) 1540196827.949 * * [misc]simplify: iters left: 2 (154 enodes) 1540196827.988 * * [misc]simplify: iters left: 1 (238 enodes) 1540196828.085 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196828.085 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196828.085 * * * * [misc]progress: [ 1176 / 6870 ] simplifiying candidate # 1540196828.086 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) 1) 1540196828.086 * * [misc]simplify: iters left: 6 (8 enodes) 1540196828.088 * * [misc]simplify: iters left: 5 (15 enodes) 1540196828.089 * [exit]simplify: Simplified to (sqrt PI) 1540196828.089 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196828.090 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196828.090 * * [misc]simplify: iters left: 6 (17 enodes) 1540196828.092 * * [misc]simplify: iters left: 5 (26 enodes) 1540196828.097 * * [misc]simplify: iters left: 4 (44 enodes) 1540196828.107 * * [misc]simplify: iters left: 3 (89 enodes) 1540196828.123 * * [misc]simplify: iters left: 2 (154 enodes) 1540196828.161 * * [misc]simplify: iters left: 1 (238 enodes) 1540196828.231 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196828.231 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196828.231 * * * * [misc]progress: [ 1177 / 6870 ] simplifiying candidate # 1540196828.231 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (sqrt (sqrt k))) 1540196828.231 * * [misc]simplify: iters left: 6 (11 enodes) 1540196828.234 * * [misc]simplify: iters left: 5 (18 enodes) 1540196828.236 * * [misc]simplify: iters left: 4 (19 enodes) 1540196828.239 * * [misc]simplify: iters left: 3 (29 enodes) 1540196828.245 * * [misc]simplify: iters left: 2 (38 enodes) 1540196828.255 * * [misc]simplify: iters left: 1 (49 enodes) 1540196828.269 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196828.269 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196828.269 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196828.270 * * [misc]simplify: iters left: 6 (18 enodes) 1540196828.275 * * [misc]simplify: iters left: 5 (29 enodes) 1540196828.283 * * [misc]simplify: iters left: 4 (46 enodes) 1540196828.298 * * [misc]simplify: iters left: 3 (98 enodes) 1540196828.336 * * [misc]simplify: iters left: 2 (205 enodes) 1540196828.411 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540196828.411 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540196828.411 * * * * [misc]progress: [ 1178 / 6870 ] simplifiying candidate # 1540196828.411 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt 1) 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196828.412 * * [misc]simplify: iters left: 6 (14 enodes) 1540196828.418 * * [misc]simplify: iters left: 5 (24 enodes) 1540196828.424 * * [misc]simplify: iters left: 4 (30 enodes) 1540196828.430 * * [misc]simplify: iters left: 3 (53 enodes) 1540196828.439 * * [misc]simplify: iters left: 2 (97 enodes) 1540196828.468 * * [misc]simplify: iters left: 1 (152 enodes) 1540196828.520 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540196828.521 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))))) 1540196828.521 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540196828.521 * * [misc]simplify: iters left: 6 (16 enodes) 1540196828.524 * * [misc]simplify: iters left: 5 (23 enodes) 1540196828.527 * * [misc]simplify: iters left: 4 (34 enodes) 1540196828.532 * * [misc]simplify: iters left: 3 (49 enodes) 1540196828.538 * * [misc]simplify: iters left: 2 (66 enodes) 1540196828.548 * * [misc]simplify: iters left: 1 (83 enodes) 1540196828.560 * [exit]simplify: Simplified to (* (/ (pow n (- 1/2 (/ k 2))) (pow 2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196828.560 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (* (/ (pow n (- 1/2 (/ k 2))) (pow 2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196828.560 * * * * [misc]progress: [ 1179 / 6870 ] simplifiying candidate # 1540196828.560 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196828.560 * * [misc]simplify: iters left: 6 (19 enodes) 1540196828.563 * * [misc]simplify: iters left: 5 (29 enodes) 1540196828.567 * * [misc]simplify: iters left: 4 (50 enodes) 1540196828.576 * * [misc]simplify: iters left: 3 (85 enodes) 1540196828.593 * * [misc]simplify: iters left: 2 (132 enodes) 1540196828.632 * * [misc]simplify: iters left: 1 (198 enodes) 1540196828.677 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196828.677 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196828.677 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196828.677 * * [misc]simplify: iters left: 6 (19 enodes) 1540196828.680 * * [misc]simplify: iters left: 5 (26 enodes) 1540196828.683 * * [misc]simplify: iters left: 4 (37 enodes) 1540196828.689 * * [misc]simplify: iters left: 3 (52 enodes) 1540196828.703 * * [misc]simplify: iters left: 2 (69 enodes) 1540196828.717 * * [misc]simplify: iters left: 1 (86 enodes) 1540196828.729 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196828.729 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196828.730 * * * * [misc]progress: [ 1180 / 6870 ] simplifiying candidate # 1540196828.730 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196828.730 * * [misc]simplify: iters left: 6 (18 enodes) 1540196828.732 * * [misc]simplify: iters left: 5 (26 enodes) 1540196828.736 * * [misc]simplify: iters left: 4 (39 enodes) 1540196828.742 * * [misc]simplify: iters left: 3 (54 enodes) 1540196828.757 * * [misc]simplify: iters left: 2 (71 enodes) 1540196828.777 * * [misc]simplify: iters left: 1 (88 enodes) 1540196828.800 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196828.800 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196828.801 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196828.801 * * [misc]simplify: iters left: 6 (19 enodes) 1540196828.806 * * [misc]simplify: iters left: 5 (26 enodes) 1540196828.813 * * [misc]simplify: iters left: 4 (37 enodes) 1540196828.823 * * [misc]simplify: iters left: 3 (52 enodes) 1540196828.832 * * [misc]simplify: iters left: 2 (69 enodes) 1540196828.841 * * [misc]simplify: iters left: 1 (86 enodes) 1540196828.853 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196828.853 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196828.853 * * * * [misc]progress: [ 1181 / 6870 ] simplifiying candidate # 1540196828.853 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196828.854 * * [misc]simplify: iters left: 6 (17 enodes) 1540196828.858 * * [misc]simplify: iters left: 5 (28 enodes) 1540196828.863 * * [misc]simplify: iters left: 4 (56 enodes) 1540196828.882 * * [misc]simplify: iters left: 3 (158 enodes) 1540196828.941 * * [misc]simplify: iters left: 2 (409 enodes) 1540196829.185 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196829.185 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196829.185 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196829.185 * * [misc]simplify: iters left: 6 (17 enodes) 1540196829.188 * * [misc]simplify: iters left: 5 (25 enodes) 1540196829.196 * * [misc]simplify: iters left: 4 (43 enodes) 1540196829.206 * * [misc]simplify: iters left: 3 (91 enodes) 1540196829.224 * * [misc]simplify: iters left: 2 (178 enodes) 1540196829.282 * * [misc]simplify: iters left: 1 (319 enodes) 1540196829.426 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196829.426 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))))) 1540196829.426 * * * * [misc]progress: [ 1182 / 6870 ] simplifiying candidate # 1540196829.427 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196829.427 * * [misc]simplify: iters left: 6 (17 enodes) 1540196829.430 * * [misc]simplify: iters left: 5 (28 enodes) 1540196829.435 * * [misc]simplify: iters left: 4 (56 enodes) 1540196829.446 * * [misc]simplify: iters left: 3 (158 enodes) 1540196829.501 * * [misc]simplify: iters left: 2 (409 enodes) 1540196829.721 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196829.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196829.721 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196829.722 * * [misc]simplify: iters left: 6 (17 enodes) 1540196829.724 * * [misc]simplify: iters left: 5 (25 enodes) 1540196829.728 * * [misc]simplify: iters left: 4 (43 enodes) 1540196829.735 * * [misc]simplify: iters left: 3 (91 enodes) 1540196829.755 * * [misc]simplify: iters left: 2 (178 enodes) 1540196829.815 * * [misc]simplify: iters left: 1 (319 enodes) 1540196829.942 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196829.942 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))))) 1540196829.942 * * * * [misc]progress: [ 1183 / 6870 ] simplifiying candidate # 1540196829.942 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196829.942 * * [misc]simplify: iters left: 6 (21 enodes) 1540196829.945 * * [misc]simplify: iters left: 5 (37 enodes) 1540196829.951 * * [misc]simplify: iters left: 4 (88 enodes) 1540196829.970 * * [misc]simplify: iters left: 3 (262 enodes) 1540196830.105 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196830.105 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196830.105 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196830.105 * * [misc]simplify: iters left: 6 (20 enodes) 1540196830.108 * * [misc]simplify: iters left: 5 (29 enodes) 1540196830.112 * * [misc]simplify: iters left: 4 (48 enodes) 1540196830.119 * * [misc]simplify: iters left: 3 (96 enodes) 1540196830.146 * * [misc]simplify: iters left: 2 (183 enodes) 1540196830.211 * * [misc]simplify: iters left: 1 (325 enodes) 1540196830.375 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196830.375 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196830.375 * * * * [misc]progress: [ 1184 / 6870 ] simplifiying candidate # 1540196830.376 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196830.376 * * [misc]simplify: iters left: 6 (20 enodes) 1540196830.382 * * [misc]simplify: iters left: 5 (32 enodes) 1540196830.391 * * [misc]simplify: iters left: 4 (63 enodes) 1540196830.412 * * [misc]simplify: iters left: 3 (165 enodes) 1540196830.472 * * [misc]simplify: iters left: 2 (420 enodes) 1540196830.702 * [exit]simplify: Simplified to (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196830.702 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196830.702 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196830.702 * * [misc]simplify: iters left: 6 (20 enodes) 1540196830.705 * * [misc]simplify: iters left: 5 (29 enodes) 1540196830.709 * * [misc]simplify: iters left: 4 (48 enodes) 1540196830.717 * * [misc]simplify: iters left: 3 (96 enodes) 1540196830.734 * * [misc]simplify: iters left: 2 (183 enodes) 1540196830.791 * * [misc]simplify: iters left: 1 (325 enodes) 1540196830.927 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196830.927 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196830.927 * * * * [misc]progress: [ 1185 / 6870 ] simplifiying candidate # 1540196830.927 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196830.928 * * [misc]simplify: iters left: 6 (16 enodes) 1540196830.932 * * [misc]simplify: iters left: 5 (28 enodes) 1540196830.942 * * [misc]simplify: iters left: 4 (56 enodes) 1540196830.961 * * [misc]simplify: iters left: 3 (111 enodes) 1540196831.009 * * [misc]simplify: iters left: 2 (306 enodes) 1540196831.222 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196831.222 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196831.222 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196831.222 * * [misc]simplify: iters left: 6 (19 enodes) 1540196831.226 * * [misc]simplify: iters left: 5 (28 enodes) 1540196831.234 * * [misc]simplify: iters left: 4 (47 enodes) 1540196831.247 * * [misc]simplify: iters left: 3 (95 enodes) 1540196831.272 * * [misc]simplify: iters left: 2 (182 enodes) 1540196831.327 * * [misc]simplify: iters left: 1 (322 enodes) 1540196831.472 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))) 1540196831.472 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1540196831.472 * * * * [misc]progress: [ 1186 / 6870 ] simplifiying candidate # 1540196831.472 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196831.472 * * [misc]simplify: iters left: 6 (18 enodes) 1540196831.475 * * [misc]simplify: iters left: 5 (28 enodes) 1540196831.480 * * [misc]simplify: iters left: 4 (46 enodes) 1540196831.487 * * [misc]simplify: iters left: 3 (94 enodes) 1540196831.505 * * [misc]simplify: iters left: 2 (181 enodes) 1540196831.549 * * [misc]simplify: iters left: 1 (322 enodes) 1540196831.698 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196831.698 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196831.698 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196831.698 * * [misc]simplify: iters left: 6 (18 enodes) 1540196831.701 * * [misc]simplify: iters left: 5 (26 enodes) 1540196831.705 * * [misc]simplify: iters left: 4 (44 enodes) 1540196831.719 * * [misc]simplify: iters left: 3 (92 enodes) 1540196831.737 * * [misc]simplify: iters left: 2 (179 enodes) 1540196831.780 * * [misc]simplify: iters left: 1 (315 enodes) 1540196831.941 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196831.941 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196831.941 * * * * [misc]progress: [ 1187 / 6870 ] simplifiying candidate # 1540196831.942 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196831.942 * * [misc]simplify: iters left: 6 (18 enodes) 1540196831.948 * * [misc]simplify: iters left: 5 (28 enodes) 1540196831.957 * * [misc]simplify: iters left: 4 (46 enodes) 1540196831.968 * * [misc]simplify: iters left: 3 (94 enodes) 1540196831.986 * * [misc]simplify: iters left: 2 (181 enodes) 1540196832.028 * * [misc]simplify: iters left: 1 (322 enodes) 1540196832.160 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196832.160 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196832.161 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196832.161 * * [misc]simplify: iters left: 6 (18 enodes) 1540196832.163 * * [misc]simplify: iters left: 5 (26 enodes) 1540196832.167 * * [misc]simplify: iters left: 4 (44 enodes) 1540196832.173 * * [misc]simplify: iters left: 3 (92 enodes) 1540196832.191 * * [misc]simplify: iters left: 2 (179 enodes) 1540196832.232 * * [misc]simplify: iters left: 1 (315 enodes) 1540196832.340 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196832.341 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196832.341 * * * * [misc]progress: [ 1188 / 6870 ] simplifiying candidate # 1540196832.341 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196832.341 * * [misc]simplify: iters left: 6 (22 enodes) 1540196832.345 * * [misc]simplify: iters left: 5 (35 enodes) 1540196832.351 * * [misc]simplify: iters left: 4 (62 enodes) 1540196832.363 * * [misc]simplify: iters left: 3 (141 enodes) 1540196832.398 * * [misc]simplify: iters left: 2 (337 enodes) 1540196832.613 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196832.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196832.613 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196832.613 * * [misc]simplify: iters left: 6 (21 enodes) 1540196832.616 * * [misc]simplify: iters left: 5 (30 enodes) 1540196832.622 * * [misc]simplify: iters left: 4 (49 enodes) 1540196832.632 * * [misc]simplify: iters left: 3 (97 enodes) 1540196832.651 * * [misc]simplify: iters left: 2 (184 enodes) 1540196832.705 * * [misc]simplify: iters left: 1 (320 enodes) 1540196832.838 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196832.838 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196832.838 * * * * [misc]progress: [ 1189 / 6870 ] simplifiying candidate # 1540196832.838 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196832.838 * * [misc]simplify: iters left: 6 (21 enodes) 1540196832.841 * * [misc]simplify: iters left: 5 (32 enodes) 1540196832.846 * * [misc]simplify: iters left: 4 (53 enodes) 1540196832.854 * * [misc]simplify: iters left: 3 (101 enodes) 1540196832.875 * * [misc]simplify: iters left: 2 (188 enodes) 1540196832.936 * * [misc]simplify: iters left: 1 (325 enodes) 1540196833.084 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) 1540196833.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196833.084 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196833.084 * * [misc]simplify: iters left: 6 (21 enodes) 1540196833.087 * * [misc]simplify: iters left: 5 (30 enodes) 1540196833.091 * * [misc]simplify: iters left: 4 (49 enodes) 1540196833.098 * * [misc]simplify: iters left: 3 (97 enodes) 1540196833.116 * * [misc]simplify: iters left: 2 (184 enodes) 1540196833.161 * * [misc]simplify: iters left: 1 (320 enodes) 1540196833.301 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196833.301 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196833.301 * * * * [misc]progress: [ 1190 / 6870 ] simplifiying candidate # 1540196833.302 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196833.302 * * [misc]simplify: iters left: 6 (17 enodes) 1540196833.307 * * [misc]simplify: iters left: 5 (27 enodes) 1540196833.313 * * [misc]simplify: iters left: 4 (42 enodes) 1540196833.320 * * [misc]simplify: iters left: 3 (76 enodes) 1540196833.336 * * [misc]simplify: iters left: 2 (155 enodes) 1540196833.386 * * [misc]simplify: iters left: 1 (338 enodes) 1540196833.560 * [exit]simplify: Simplified to (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196833.560 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196833.560 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196833.560 * * [misc]simplify: iters left: 6 (20 enodes) 1540196833.563 * * [misc]simplify: iters left: 5 (29 enodes) 1540196833.569 * * [misc]simplify: iters left: 4 (48 enodes) 1540196833.576 * * [misc]simplify: iters left: 3 (96 enodes) 1540196833.606 * * [misc]simplify: iters left: 2 (183 enodes) 1540196833.657 * * [misc]simplify: iters left: 1 (325 enodes) 1540196833.802 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196833.802 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196833.802 * * * * [misc]progress: [ 1191 / 6870 ] simplifiying candidate # 1540196833.802 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196833.803 * * [misc]simplify: iters left: 6 (15 enodes) 1540196833.806 * * [misc]simplify: iters left: 5 (24 enodes) 1540196833.810 * * [misc]simplify: iters left: 4 (41 enodes) 1540196833.825 * * [misc]simplify: iters left: 3 (86 enodes) 1540196833.842 * * [misc]simplify: iters left: 2 (151 enodes) 1540196833.874 * * [misc]simplify: iters left: 1 (230 enodes) 1540196833.948 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196833.948 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196833.948 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196833.949 * * [misc]simplify: iters left: 6 (16 enodes) 1540196833.953 * * [misc]simplify: iters left: 5 (24 enodes) 1540196833.961 * * [misc]simplify: iters left: 4 (41 enodes) 1540196833.974 * * [misc]simplify: iters left: 3 (86 enodes) 1540196833.994 * * [misc]simplify: iters left: 2 (151 enodes) 1540196834.031 * * [misc]simplify: iters left: 1 (234 enodes) 1540196834.095 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196834.095 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196834.096 * * * * [misc]progress: [ 1192 / 6870 ] simplifiying candidate # 1540196834.096 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196834.096 * * [misc]simplify: iters left: 6 (15 enodes) 1540196834.102 * * [misc]simplify: iters left: 5 (24 enodes) 1540196834.109 * * [misc]simplify: iters left: 4 (41 enodes) 1540196834.123 * * [misc]simplify: iters left: 3 (86 enodes) 1540196834.158 * * [misc]simplify: iters left: 2 (151 enodes) 1540196834.201 * * [misc]simplify: iters left: 1 (230 enodes) 1540196834.288 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196834.288 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196834.288 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196834.288 * * [misc]simplify: iters left: 6 (16 enodes) 1540196834.290 * * [misc]simplify: iters left: 5 (24 enodes) 1540196834.293 * * [misc]simplify: iters left: 4 (41 enodes) 1540196834.301 * * [misc]simplify: iters left: 3 (86 enodes) 1540196834.332 * * [misc]simplify: iters left: 2 (151 enodes) 1540196834.380 * * [misc]simplify: iters left: 1 (234 enodes) 1540196834.448 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196834.448 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196834.448 * * * * [misc]progress: [ 1193 / 6870 ] simplifiying candidate # 1540196834.448 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196834.449 * * [misc]simplify: iters left: 6 (19 enodes) 1540196834.451 * * [misc]simplify: iters left: 5 (31 enodes) 1540196834.456 * * [misc]simplify: iters left: 4 (57 enodes) 1540196834.466 * * [misc]simplify: iters left: 3 (133 enodes) 1540196834.499 * * [misc]simplify: iters left: 2 (298 enodes) 1540196834.647 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196834.647 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196834.648 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196834.648 * * [misc]simplify: iters left: 6 (19 enodes) 1540196834.652 * * [misc]simplify: iters left: 5 (28 enodes) 1540196834.656 * * [misc]simplify: iters left: 4 (46 enodes) 1540196834.663 * * [misc]simplify: iters left: 3 (91 enodes) 1540196834.679 * * [misc]simplify: iters left: 2 (156 enodes) 1540196834.712 * * [misc]simplify: iters left: 1 (236 enodes) 1540196834.767 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196834.767 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196834.767 * * * * [misc]progress: [ 1194 / 6870 ] simplifiying candidate # 1540196834.767 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196834.767 * * [misc]simplify: iters left: 6 (18 enodes) 1540196834.770 * * [misc]simplify: iters left: 5 (28 enodes) 1540196834.775 * * [misc]simplify: iters left: 4 (48 enodes) 1540196834.782 * * [misc]simplify: iters left: 3 (93 enodes) 1540196834.798 * * [misc]simplify: iters left: 2 (158 enodes) 1540196834.831 * * [misc]simplify: iters left: 1 (243 enodes) 1540196834.891 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196834.891 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196834.891 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196834.891 * * [misc]simplify: iters left: 6 (19 enodes) 1540196834.894 * * [misc]simplify: iters left: 5 (28 enodes) 1540196834.897 * * [misc]simplify: iters left: 4 (46 enodes) 1540196834.905 * * [misc]simplify: iters left: 3 (91 enodes) 1540196834.921 * * [misc]simplify: iters left: 2 (156 enodes) 1540196834.955 * * [misc]simplify: iters left: 1 (236 enodes) 1540196835.011 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196835.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196835.011 * * * * [misc]progress: [ 1195 / 6870 ] simplifiying candidate # 1540196835.011 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196835.011 * * [misc]simplify: iters left: 6 (14 enodes) 1540196835.013 * * [misc]simplify: iters left: 5 (24 enodes) 1540196835.017 * * [misc]simplify: iters left: 4 (45 enodes) 1540196835.025 * * [misc]simplify: iters left: 3 (68 enodes) 1540196835.036 * * [misc]simplify: iters left: 2 (101 enodes) 1540196835.057 * * [misc]simplify: iters left: 1 (157 enodes) 1540196835.104 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540196835.104 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196835.104 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196835.105 * * [misc]simplify: iters left: 6 (18 enodes) 1540196835.107 * * [misc]simplify: iters left: 5 (27 enodes) 1540196835.112 * * [misc]simplify: iters left: 4 (45 enodes) 1540196835.119 * * [misc]simplify: iters left: 3 (90 enodes) 1540196835.135 * * [misc]simplify: iters left: 2 (155 enodes) 1540196835.175 * * [misc]simplify: iters left: 1 (239 enodes) 1540196835.233 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196835.233 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196835.233 * * * * [misc]progress: [ 1196 / 6870 ] simplifiying candidate # 1540196835.233 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196835.234 * * [misc]simplify: iters left: 6 (17 enodes) 1540196835.237 * * [misc]simplify: iters left: 5 (28 enodes) 1540196835.241 * * [misc]simplify: iters left: 4 (48 enodes) 1540196835.258 * * [misc]simplify: iters left: 3 (115 enodes) 1540196835.283 * * [misc]simplify: iters left: 2 (271 enodes) 1540196835.408 * * [misc]simplify: iters left: 1 (496 enodes) 1540196835.710 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540196835.710 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196835.710 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196835.710 * * [misc]simplify: iters left: 6 (16 enodes) 1540196835.712 * * [misc]simplify: iters left: 5 (24 enodes) 1540196835.716 * * [misc]simplify: iters left: 4 (42 enodes) 1540196835.722 * * [misc]simplify: iters left: 3 (90 enodes) 1540196835.739 * * [misc]simplify: iters left: 2 (177 enodes) 1540196835.780 * * [misc]simplify: iters left: 1 (315 enodes) 1540196835.913 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196835.913 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196835.914 * * * * [misc]progress: [ 1197 / 6870 ] simplifiying candidate # 1540196835.914 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196835.914 * * [misc]simplify: iters left: 6 (17 enodes) 1540196835.918 * * [misc]simplify: iters left: 5 (28 enodes) 1540196835.923 * * [misc]simplify: iters left: 4 (48 enodes) 1540196835.931 * * [misc]simplify: iters left: 3 (115 enodes) 1540196835.958 * * [misc]simplify: iters left: 2 (271 enodes) 1540196836.071 * * [misc]simplify: iters left: 1 (496 enodes) 1540196836.444 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540196836.444 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196836.444 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196836.444 * * [misc]simplify: iters left: 6 (16 enodes) 1540196836.447 * * [misc]simplify: iters left: 5 (24 enodes) 1540196836.450 * * [misc]simplify: iters left: 4 (42 enodes) 1540196836.457 * * [misc]simplify: iters left: 3 (90 enodes) 1540196836.477 * * [misc]simplify: iters left: 2 (177 enodes) 1540196836.524 * * [misc]simplify: iters left: 1 (315 enodes) 1540196836.656 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196836.656 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196836.656 * * * * [misc]progress: [ 1198 / 6870 ] simplifiying candidate # 1540196836.656 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196836.656 * * [misc]simplify: iters left: 6 (21 enodes) 1540196836.660 * * [misc]simplify: iters left: 5 (35 enodes) 1540196836.665 * * [misc]simplify: iters left: 4 (65 enodes) 1540196836.676 * * [misc]simplify: iters left: 3 (171 enodes) 1540196836.726 * * [misc]simplify: iters left: 2 (455 enodes) 1540196837.051 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n)))) 1540196837.051 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196837.051 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196837.051 * * [misc]simplify: iters left: 6 (19 enodes) 1540196837.057 * * [misc]simplify: iters left: 5 (28 enodes) 1540196837.065 * * [misc]simplify: iters left: 4 (47 enodes) 1540196837.080 * * [misc]simplify: iters left: 3 (95 enodes) 1540196837.104 * * [misc]simplify: iters left: 2 (182 enodes) 1540196837.152 * * [misc]simplify: iters left: 1 (320 enodes) 1540196837.292 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196837.292 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196837.292 * * * * [misc]progress: [ 1199 / 6870 ] simplifiying candidate # 1540196837.292 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196837.292 * * [misc]simplify: iters left: 6 (20 enodes) 1540196837.296 * * [misc]simplify: iters left: 5 (32 enodes) 1540196837.300 * * [misc]simplify: iters left: 4 (55 enodes) 1540196837.309 * * [misc]simplify: iters left: 3 (122 enodes) 1540196837.353 * * [misc]simplify: iters left: 2 (285 enodes) 1540196837.464 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196837.464 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196837.465 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196837.465 * * [misc]simplify: iters left: 6 (19 enodes) 1540196837.468 * * [misc]simplify: iters left: 5 (28 enodes) 1540196837.471 * * [misc]simplify: iters left: 4 (47 enodes) 1540196837.478 * * [misc]simplify: iters left: 3 (95 enodes) 1540196837.496 * * [misc]simplify: iters left: 2 (182 enodes) 1540196837.538 * * [misc]simplify: iters left: 1 (320 enodes) 1540196837.675 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196837.675 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196837.675 * * * * [misc]progress: [ 1200 / 6870 ] simplifiying candidate # 1540196837.675 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196837.675 * * [misc]simplify: iters left: 6 (15 enodes) 1540196837.678 * * [misc]simplify: iters left: 5 (25 enodes) 1540196837.681 * * [misc]simplify: iters left: 4 (33 enodes) 1540196837.686 * * [misc]simplify: iters left: 3 (55 enodes) 1540196837.693 * * [misc]simplify: iters left: 2 (89 enodes) 1540196837.716 * * [misc]simplify: iters left: 1 (147 enodes) 1540196837.793 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196837.794 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196837.794 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196837.794 * * [misc]simplify: iters left: 6 (18 enodes) 1540196837.799 * * [misc]simplify: iters left: 5 (27 enodes) 1540196837.807 * * [misc]simplify: iters left: 4 (46 enodes) 1540196837.821 * * [misc]simplify: iters left: 3 (94 enodes) 1540196837.852 * * [misc]simplify: iters left: 2 (181 enodes) 1540196837.892 * * [misc]simplify: iters left: 1 (322 enodes) 1540196838.036 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196838.036 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196838.036 * * * * [misc]progress: [ 1201 / 6870 ] simplifiying candidate # 1540196838.037 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196838.037 * * [misc]simplify: iters left: 6 (15 enodes) 1540196838.043 * * [misc]simplify: iters left: 5 (24 enodes) 1540196838.047 * * [misc]simplify: iters left: 4 (41 enodes) 1540196838.054 * * [misc]simplify: iters left: 3 (86 enodes) 1540196838.074 * * [misc]simplify: iters left: 2 (151 enodes) 1540196838.107 * * [misc]simplify: iters left: 1 (230 enodes) 1540196838.191 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196838.192 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196838.192 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196838.192 * * [misc]simplify: iters left: 6 (16 enodes) 1540196838.194 * * [misc]simplify: iters left: 5 (24 enodes) 1540196838.198 * * [misc]simplify: iters left: 4 (41 enodes) 1540196838.204 * * [misc]simplify: iters left: 3 (86 enodes) 1540196838.220 * * [misc]simplify: iters left: 2 (151 enodes) 1540196838.255 * * [misc]simplify: iters left: 1 (234 enodes) 1540196838.320 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196838.320 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196838.321 * * * * [misc]progress: [ 1202 / 6870 ] simplifiying candidate # 1540196838.321 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196838.321 * * [misc]simplify: iters left: 6 (15 enodes) 1540196838.324 * * [misc]simplify: iters left: 5 (24 enodes) 1540196838.328 * * [misc]simplify: iters left: 4 (41 enodes) 1540196838.335 * * [misc]simplify: iters left: 3 (86 enodes) 1540196838.351 * * [misc]simplify: iters left: 2 (151 enodes) 1540196838.393 * * [misc]simplify: iters left: 1 (230 enodes) 1540196838.452 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196838.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196838.453 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196838.453 * * [misc]simplify: iters left: 6 (16 enodes) 1540196838.458 * * [misc]simplify: iters left: 5 (24 enodes) 1540196838.465 * * [misc]simplify: iters left: 4 (41 enodes) 1540196838.479 * * [misc]simplify: iters left: 3 (86 enodes) 1540196838.510 * * [misc]simplify: iters left: 2 (151 enodes) 1540196838.551 * * [misc]simplify: iters left: 1 (234 enodes) 1540196838.617 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196838.617 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196838.617 * * * * [misc]progress: [ 1203 / 6870 ] simplifiying candidate # 1540196838.617 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196838.617 * * [misc]simplify: iters left: 6 (19 enodes) 1540196838.620 * * [misc]simplify: iters left: 5 (31 enodes) 1540196838.625 * * [misc]simplify: iters left: 4 (57 enodes) 1540196838.635 * * [misc]simplify: iters left: 3 (133 enodes) 1540196838.668 * * [misc]simplify: iters left: 2 (298 enodes) 1540196838.829 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196838.829 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196838.829 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196838.830 * * [misc]simplify: iters left: 6 (19 enodes) 1540196838.832 * * [misc]simplify: iters left: 5 (28 enodes) 1540196838.836 * * [misc]simplify: iters left: 4 (46 enodes) 1540196838.843 * * [misc]simplify: iters left: 3 (91 enodes) 1540196838.861 * * [misc]simplify: iters left: 2 (156 enodes) 1540196838.908 * * [misc]simplify: iters left: 1 (236 enodes) 1540196838.970 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196838.971 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196838.971 * * * * [misc]progress: [ 1204 / 6870 ] simplifiying candidate # 1540196838.971 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196838.971 * * [misc]simplify: iters left: 6 (18 enodes) 1540196838.974 * * [misc]simplify: iters left: 5 (28 enodes) 1540196838.980 * * [misc]simplify: iters left: 4 (48 enodes) 1540196838.994 * * [misc]simplify: iters left: 3 (93 enodes) 1540196839.028 * * [misc]simplify: iters left: 2 (158 enodes) 1540196839.080 * * [misc]simplify: iters left: 1 (243 enodes) 1540196839.151 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196839.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196839.151 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196839.151 * * [misc]simplify: iters left: 6 (19 enodes) 1540196839.154 * * [misc]simplify: iters left: 5 (28 enodes) 1540196839.160 * * [misc]simplify: iters left: 4 (46 enodes) 1540196839.175 * * [misc]simplify: iters left: 3 (91 enodes) 1540196839.197 * * [misc]simplify: iters left: 2 (156 enodes) 1540196839.231 * * [misc]simplify: iters left: 1 (236 enodes) 1540196839.295 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196839.295 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196839.295 * * * * [misc]progress: [ 1205 / 6870 ] simplifiying candidate # 1540196839.296 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196839.296 * * [misc]simplify: iters left: 6 (14 enodes) 1540196839.298 * * [misc]simplify: iters left: 5 (24 enodes) 1540196839.302 * * [misc]simplify: iters left: 4 (45 enodes) 1540196839.309 * * [misc]simplify: iters left: 3 (68 enodes) 1540196839.326 * * [misc]simplify: iters left: 2 (101 enodes) 1540196839.366 * * [misc]simplify: iters left: 1 (157 enodes) 1540196839.414 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540196839.414 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196839.415 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196839.415 * * [misc]simplify: iters left: 6 (18 enodes) 1540196839.420 * * [misc]simplify: iters left: 5 (27 enodes) 1540196839.428 * * [misc]simplify: iters left: 4 (45 enodes) 1540196839.441 * * [misc]simplify: iters left: 3 (90 enodes) 1540196839.474 * * [misc]simplify: iters left: 2 (155 enodes) 1540196839.517 * * [misc]simplify: iters left: 1 (239 enodes) 1540196839.595 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196839.595 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196839.595 * * * * [misc]progress: [ 1206 / 6870 ] simplifiying candidate # 1540196839.595 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196839.596 * * [misc]simplify: iters left: 6 (16 enodes) 1540196839.599 * * [misc]simplify: iters left: 5 (27 enodes) 1540196839.603 * * [misc]simplify: iters left: 4 (43 enodes) 1540196839.611 * * [misc]simplify: iters left: 3 (95 enodes) 1540196839.629 * * [misc]simplify: iters left: 2 (200 enodes) 1540196839.709 * * [misc]simplify: iters left: 1 (409 enodes) 1540196839.956 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196839.956 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196839.956 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196839.956 * * [misc]simplify: iters left: 6 (16 enodes) 1540196839.958 * * [misc]simplify: iters left: 5 (24 enodes) 1540196839.961 * * [misc]simplify: iters left: 4 (42 enodes) 1540196839.968 * * [misc]simplify: iters left: 3 (90 enodes) 1540196839.994 * * [misc]simplify: iters left: 2 (177 enodes) 1540196840.035 * * [misc]simplify: iters left: 1 (315 enodes) 1540196840.145 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196840.145 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196840.145 * * * * [misc]progress: [ 1207 / 6870 ] simplifiying candidate # 1540196840.145 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196840.145 * * [misc]simplify: iters left: 6 (16 enodes) 1540196840.149 * * [misc]simplify: iters left: 5 (27 enodes) 1540196840.154 * * [misc]simplify: iters left: 4 (43 enodes) 1540196840.169 * * [misc]simplify: iters left: 3 (95 enodes) 1540196840.204 * * [misc]simplify: iters left: 2 (200 enodes) 1540196840.308 * * [misc]simplify: iters left: 1 (409 enodes) 1540196840.560 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196840.561 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196840.561 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196840.561 * * [misc]simplify: iters left: 6 (16 enodes) 1540196840.565 * * [misc]simplify: iters left: 5 (24 enodes) 1540196840.572 * * [misc]simplify: iters left: 4 (42 enodes) 1540196840.578 * * [misc]simplify: iters left: 3 (90 enodes) 1540196840.596 * * [misc]simplify: iters left: 2 (177 enodes) 1540196840.655 * * [misc]simplify: iters left: 1 (315 enodes) 1540196840.774 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196840.774 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196840.775 * * * * [misc]progress: [ 1208 / 6870 ] simplifiying candidate # 1540196840.775 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196840.775 * * [misc]simplify: iters left: 6 (20 enodes) 1540196840.778 * * [misc]simplify: iters left: 5 (34 enodes) 1540196840.782 * * [misc]simplify: iters left: 4 (59 enodes) 1540196840.793 * * [misc]simplify: iters left: 3 (153 enodes) 1540196840.854 * * [misc]simplify: iters left: 2 (394 enodes) 1540196841.078 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k))))) 1540196841.078 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196841.078 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196841.079 * * [misc]simplify: iters left: 6 (19 enodes) 1540196841.083 * * [misc]simplify: iters left: 5 (28 enodes) 1540196841.091 * * [misc]simplify: iters left: 4 (47 enodes) 1540196841.106 * * [misc]simplify: iters left: 3 (95 enodes) 1540196841.124 * * [misc]simplify: iters left: 2 (182 enodes) 1540196841.185 * * [misc]simplify: iters left: 1 (320 enodes) 1540196841.313 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196841.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196841.313 * * * * [misc]progress: [ 1209 / 6870 ] simplifiying candidate # 1540196841.313 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196841.313 * * [misc]simplify: iters left: 6 (19 enodes) 1540196841.316 * * [misc]simplify: iters left: 5 (31 enodes) 1540196841.320 * * [misc]simplify: iters left: 4 (50 enodes) 1540196841.329 * * [misc]simplify: iters left: 3 (102 enodes) 1540196841.365 * * [misc]simplify: iters left: 2 (206 enodes) 1540196841.451 * * [misc]simplify: iters left: 1 (437 enodes) 1540196841.811 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196841.811 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196841.811 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196841.812 * * [misc]simplify: iters left: 6 (19 enodes) 1540196841.817 * * [misc]simplify: iters left: 5 (28 enodes) 1540196841.825 * * [misc]simplify: iters left: 4 (47 enodes) 1540196841.832 * * [misc]simplify: iters left: 3 (95 enodes) 1540196841.852 * * [misc]simplify: iters left: 2 (182 enodes) 1540196841.920 * * [misc]simplify: iters left: 1 (320 enodes) 1540196842.053 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196842.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196842.053 * * * * [misc]progress: [ 1210 / 6870 ] simplifiying candidate # 1540196842.054 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 1)) 1540196842.054 * * [misc]simplify: iters left: 6 (14 enodes) 1540196842.056 * * [misc]simplify: iters left: 5 (22 enodes) 1540196842.060 * * [misc]simplify: iters left: 4 (30 enodes) 1540196842.068 * * [misc]simplify: iters left: 3 (45 enodes) 1540196842.073 * * [misc]simplify: iters left: 2 (68 enodes) 1540196842.082 * * [misc]simplify: iters left: 1 (86 enodes) 1540196842.093 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196842.093 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196842.093 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196842.093 * * [misc]simplify: iters left: 6 (18 enodes) 1540196842.096 * * [misc]simplify: iters left: 5 (27 enodes) 1540196842.104 * * [misc]simplify: iters left: 4 (46 enodes) 1540196842.117 * * [misc]simplify: iters left: 3 (94 enodes) 1540196842.134 * * [misc]simplify: iters left: 2 (181 enodes) 1540196842.180 * * [misc]simplify: iters left: 1 (322 enodes) 1540196842.321 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196842.321 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196842.321 * * * * [misc]progress: [ 1211 / 6870 ] simplifiying candidate # 1540196842.321 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1) 1540196842.321 * * [misc]simplify: iters left: 6 (13 enodes) 1540196842.323 * * [misc]simplify: iters left: 5 (21 enodes) 1540196842.326 * * [misc]simplify: iters left: 4 (31 enodes) 1540196842.331 * * [misc]simplify: iters left: 3 (50 enodes) 1540196842.337 * * [misc]simplify: iters left: 2 (81 enodes) 1540196842.355 * * [misc]simplify: iters left: 1 (100 enodes) 1540196842.378 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196842.378 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196842.380 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196842.381 * * [misc]simplify: iters left: 6 (18 enodes) 1540196842.386 * * [misc]simplify: iters left: 5 (27 enodes) 1540196842.393 * * [misc]simplify: iters left: 4 (46 enodes) 1540196842.405 * * [misc]simplify: iters left: 3 (94 enodes) 1540196842.423 * * [misc]simplify: iters left: 2 (181 enodes) 1540196842.473 * * [misc]simplify: iters left: 1 (322 enodes) 1540196842.613 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196842.613 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196842.614 * * * * [misc]progress: [ 1212 / 6870 ] simplifiying candidate # 1540196842.614 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (sqrt (sqrt k))) 1540196842.614 * * [misc]simplify: iters left: 6 (12 enodes) 1540196842.617 * * [misc]simplify: iters left: 5 (18 enodes) 1540196842.619 * * [misc]simplify: iters left: 4 (28 enodes) 1540196842.623 * * [misc]simplify: iters left: 3 (43 enodes) 1540196842.628 * * [misc]simplify: iters left: 2 (60 enodes) 1540196842.636 * * [misc]simplify: iters left: 1 (77 enodes) 1540196842.646 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196842.647 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196842.647 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196842.647 * * [misc]simplify: iters left: 6 (19 enodes) 1540196842.650 * * [misc]simplify: iters left: 5 (30 enodes) 1540196842.654 * * [misc]simplify: iters left: 4 (47 enodes) 1540196842.661 * * [misc]simplify: iters left: 3 (99 enodes) 1540196842.682 * * [misc]simplify: iters left: 2 (206 enodes) 1540196842.767 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540196842.767 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))))) 1540196842.767 * * * * [misc]progress: [ 1213 / 6870 ] simplifiying candidate # 1540196842.768 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196842.768 * * [misc]simplify: iters left: 6 (15 enodes) 1540196842.770 * * [misc]simplify: iters left: 5 (24 enodes) 1540196842.776 * * [misc]simplify: iters left: 4 (42 enodes) 1540196842.783 * * [misc]simplify: iters left: 3 (90 enodes) 1540196842.801 * * [misc]simplify: iters left: 2 (177 enodes) 1540196842.869 * * [misc]simplify: iters left: 1 (319 enodes) 1540196843.012 * [exit]simplify: Simplified to (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) 1540196843.012 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196843.012 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196843.013 * * [misc]simplify: iters left: 6 (15 enodes) 1540196843.015 * * [misc]simplify: iters left: 5 (21 enodes) 1540196843.017 * * [misc]simplify: iters left: 4 (31 enodes) 1540196843.021 * * [misc]simplify: iters left: 3 (46 enodes) 1540196843.029 * * [misc]simplify: iters left: 2 (63 enodes) 1540196843.038 * * [misc]simplify: iters left: 1 (80 enodes) 1540196843.049 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196843.049 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196843.049 * * * * [misc]progress: [ 1214 / 6870 ] simplifiying candidate # 1540196843.049 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196843.049 * * [misc]simplify: iters left: 6 (19 enodes) 1540196843.052 * * [misc]simplify: iters left: 5 (29 enodes) 1540196843.056 * * [misc]simplify: iters left: 4 (50 enodes) 1540196843.063 * * [misc]simplify: iters left: 3 (85 enodes) 1540196843.075 * * [misc]simplify: iters left: 2 (132 enodes) 1540196843.100 * * [misc]simplify: iters left: 1 (198 enodes) 1540196843.137 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196843.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196843.138 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196843.138 * * [misc]simplify: iters left: 6 (19 enodes) 1540196843.140 * * [misc]simplify: iters left: 5 (26 enodes) 1540196843.144 * * [misc]simplify: iters left: 4 (37 enodes) 1540196843.148 * * [misc]simplify: iters left: 3 (52 enodes) 1540196843.156 * * [misc]simplify: iters left: 2 (69 enodes) 1540196843.165 * * [misc]simplify: iters left: 1 (86 enodes) 1540196843.176 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196843.176 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196843.176 * * * * [misc]progress: [ 1215 / 6870 ] simplifiying candidate # 1540196843.176 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196843.176 * * [misc]simplify: iters left: 6 (18 enodes) 1540196843.179 * * [misc]simplify: iters left: 5 (26 enodes) 1540196843.182 * * [misc]simplify: iters left: 4 (39 enodes) 1540196843.187 * * [misc]simplify: iters left: 3 (54 enodes) 1540196843.194 * * [misc]simplify: iters left: 2 (71 enodes) 1540196843.206 * * [misc]simplify: iters left: 1 (88 enodes) 1540196843.228 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196843.228 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196843.228 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196843.228 * * [misc]simplify: iters left: 6 (19 enodes) 1540196843.233 * * [misc]simplify: iters left: 5 (26 enodes) 1540196843.240 * * [misc]simplify: iters left: 4 (37 enodes) 1540196843.250 * * [misc]simplify: iters left: 3 (52 enodes) 1540196843.263 * * [misc]simplify: iters left: 2 (69 enodes) 1540196843.272 * * [misc]simplify: iters left: 1 (86 enodes) 1540196843.284 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196843.284 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196843.284 * * * * [misc]progress: [ 1216 / 6870 ] simplifiying candidate # 1540196843.284 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196843.285 * * [misc]simplify: iters left: 6 (17 enodes) 1540196843.288 * * [misc]simplify: iters left: 5 (28 enodes) 1540196843.292 * * [misc]simplify: iters left: 4 (56 enodes) 1540196843.309 * * [misc]simplify: iters left: 3 (158 enodes) 1540196843.359 * * [misc]simplify: iters left: 2 (409 enodes) 1540196843.609 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196843.609 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196843.610 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196843.610 * * [misc]simplify: iters left: 6 (17 enodes) 1540196843.615 * * [misc]simplify: iters left: 5 (25 enodes) 1540196843.623 * * [misc]simplify: iters left: 4 (43 enodes) 1540196843.639 * * [misc]simplify: iters left: 3 (91 enodes) 1540196843.673 * * [misc]simplify: iters left: 2 (178 enodes) 1540196843.750 * * [misc]simplify: iters left: 1 (319 enodes) 1540196843.883 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196843.883 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))))) 1540196843.883 * * * * [misc]progress: [ 1217 / 6870 ] simplifiying candidate # 1540196843.883 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196843.883 * * [misc]simplify: iters left: 6 (17 enodes) 1540196843.887 * * [misc]simplify: iters left: 5 (28 enodes) 1540196843.892 * * [misc]simplify: iters left: 4 (56 enodes) 1540196843.915 * * [misc]simplify: iters left: 3 (158 enodes) 1540196843.988 * * [misc]simplify: iters left: 2 (409 enodes) 1540196844.249 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196844.249 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196844.249 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196844.250 * * [misc]simplify: iters left: 6 (17 enodes) 1540196844.252 * * [misc]simplify: iters left: 5 (25 enodes) 1540196844.256 * * [misc]simplify: iters left: 4 (43 enodes) 1540196844.269 * * [misc]simplify: iters left: 3 (91 enodes) 1540196844.287 * * [misc]simplify: iters left: 2 (178 enodes) 1540196844.333 * * [misc]simplify: iters left: 1 (319 enodes) 1540196844.455 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) 1540196844.455 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt 2) (sqrt n)) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))))) 1540196844.455 * * * * [misc]progress: [ 1218 / 6870 ] simplifiying candidate # 1540196844.456 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196844.457 * * [misc]simplify: iters left: 6 (21 enodes) 1540196844.460 * * [misc]simplify: iters left: 5 (37 enodes) 1540196844.469 * * [misc]simplify: iters left: 4 (88 enodes) 1540196844.493 * * [misc]simplify: iters left: 3 (262 enodes) 1540196844.618 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196844.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196844.619 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196844.619 * * [misc]simplify: iters left: 6 (20 enodes) 1540196844.621 * * [misc]simplify: iters left: 5 (29 enodes) 1540196844.626 * * [misc]simplify: iters left: 4 (48 enodes) 1540196844.633 * * [misc]simplify: iters left: 3 (96 enodes) 1540196844.659 * * [misc]simplify: iters left: 2 (183 enodes) 1540196844.704 * * [misc]simplify: iters left: 1 (325 enodes) 1540196844.871 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196844.871 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196844.871 * * * * [misc]progress: [ 1219 / 6870 ] simplifiying candidate # 1540196844.872 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196844.872 * * [misc]simplify: iters left: 6 (20 enodes) 1540196844.875 * * [misc]simplify: iters left: 5 (32 enodes) 1540196844.879 * * [misc]simplify: iters left: 4 (63 enodes) 1540196844.897 * * [misc]simplify: iters left: 3 (165 enodes) 1540196844.962 * * [misc]simplify: iters left: 2 (420 enodes) 1540196845.193 * [exit]simplify: Simplified to (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196845.193 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196845.193 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196845.193 * * [misc]simplify: iters left: 6 (20 enodes) 1540196845.199 * * [misc]simplify: iters left: 5 (29 enodes) 1540196845.203 * * [misc]simplify: iters left: 4 (48 enodes) 1540196845.210 * * [misc]simplify: iters left: 3 (96 enodes) 1540196845.230 * * [misc]simplify: iters left: 2 (183 enodes) 1540196845.284 * * [misc]simplify: iters left: 1 (325 enodes) 1540196845.447 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196845.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540196845.447 * * * * [misc]progress: [ 1220 / 6870 ] simplifiying candidate # 1540196845.447 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196845.447 * * [misc]simplify: iters left: 6 (16 enodes) 1540196845.449 * * [misc]simplify: iters left: 5 (28 enodes) 1540196845.454 * * [misc]simplify: iters left: 4 (56 enodes) 1540196845.463 * * [misc]simplify: iters left: 3 (111 enodes) 1540196845.489 * * [misc]simplify: iters left: 2 (306 enodes) 1540196845.663 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196845.664 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196845.664 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196845.664 * * [misc]simplify: iters left: 6 (19 enodes) 1540196845.666 * * [misc]simplify: iters left: 5 (28 enodes) 1540196845.677 * * [misc]simplify: iters left: 4 (47 enodes) 1540196845.691 * * [misc]simplify: iters left: 3 (95 enodes) 1540196845.717 * * [misc]simplify: iters left: 2 (182 enodes) 1540196845.758 * * [misc]simplify: iters left: 1 (322 enodes) 1540196845.886 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))) 1540196845.886 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1540196845.886 * * * * [misc]progress: [ 1221 / 6870 ] simplifiying candidate # 1540196845.886 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196845.886 * * [misc]simplify: iters left: 6 (18 enodes) 1540196845.890 * * [misc]simplify: iters left: 5 (28 enodes) 1540196845.897 * * [misc]simplify: iters left: 4 (46 enodes) 1540196845.905 * * [misc]simplify: iters left: 3 (94 enodes) 1540196845.929 * * [misc]simplify: iters left: 2 (181 enodes) 1540196845.987 * * [misc]simplify: iters left: 1 (322 enodes) 1540196846.130 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196846.130 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196846.130 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196846.130 * * [misc]simplify: iters left: 6 (18 enodes) 1540196846.134 * * [misc]simplify: iters left: 5 (26 enodes) 1540196846.144 * * [misc]simplify: iters left: 4 (44 enodes) 1540196846.159 * * [misc]simplify: iters left: 3 (92 enodes) 1540196846.178 * * [misc]simplify: iters left: 2 (179 enodes) 1540196846.226 * * [misc]simplify: iters left: 1 (315 enodes) 1540196846.345 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196846.345 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196846.345 * * * * [misc]progress: [ 1222 / 6870 ] simplifiying candidate # 1540196846.346 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196846.346 * * [misc]simplify: iters left: 6 (18 enodes) 1540196846.349 * * [misc]simplify: iters left: 5 (28 enodes) 1540196846.354 * * [misc]simplify: iters left: 4 (46 enodes) 1540196846.370 * * [misc]simplify: iters left: 3 (94 enodes) 1540196846.406 * * [misc]simplify: iters left: 2 (181 enodes) 1540196846.458 * * [misc]simplify: iters left: 1 (322 enodes) 1540196846.598 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) 1540196846.598 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196846.598 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196846.599 * * [misc]simplify: iters left: 6 (18 enodes) 1540196846.601 * * [misc]simplify: iters left: 5 (26 enodes) 1540196846.605 * * [misc]simplify: iters left: 4 (44 enodes) 1540196846.614 * * [misc]simplify: iters left: 3 (92 enodes) 1540196846.632 * * [misc]simplify: iters left: 2 (179 enodes) 1540196846.684 * * [misc]simplify: iters left: 1 (315 enodes) 1540196846.824 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196846.824 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196846.824 * * * * [misc]progress: [ 1223 / 6870 ] simplifiying candidate # 1540196846.824 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196846.824 * * [misc]simplify: iters left: 6 (22 enodes) 1540196846.827 * * [misc]simplify: iters left: 5 (35 enodes) 1540196846.832 * * [misc]simplify: iters left: 4 (62 enodes) 1540196846.844 * * [misc]simplify: iters left: 3 (141 enodes) 1540196846.893 * * [misc]simplify: iters left: 2 (337 enodes) 1540196847.476 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196847.476 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196847.477 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196847.477 * * [misc]simplify: iters left: 6 (21 enodes) 1540196847.481 * * [misc]simplify: iters left: 5 (30 enodes) 1540196847.485 * * [misc]simplify: iters left: 4 (49 enodes) 1540196847.493 * * [misc]simplify: iters left: 3 (97 enodes) 1540196847.511 * * [misc]simplify: iters left: 2 (184 enodes) 1540196847.567 * * [misc]simplify: iters left: 1 (320 enodes) 1540196847.704 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196847.704 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196847.704 * * * * [misc]progress: [ 1224 / 6870 ] simplifiying candidate # 1540196847.705 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196847.705 * * [misc]simplify: iters left: 6 (21 enodes) 1540196847.708 * * [misc]simplify: iters left: 5 (32 enodes) 1540196847.712 * * [misc]simplify: iters left: 4 (53 enodes) 1540196847.725 * * [misc]simplify: iters left: 3 (101 enodes) 1540196847.753 * * [misc]simplify: iters left: 2 (188 enodes) 1540196847.800 * * [misc]simplify: iters left: 1 (325 enodes) 1540196847.932 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) 1540196847.932 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196847.933 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196847.933 * * [misc]simplify: iters left: 6 (21 enodes) 1540196847.935 * * [misc]simplify: iters left: 5 (30 enodes) 1540196847.940 * * [misc]simplify: iters left: 4 (49 enodes) 1540196847.947 * * [misc]simplify: iters left: 3 (97 enodes) 1540196847.965 * * [misc]simplify: iters left: 2 (184 enodes) 1540196848.019 * * [misc]simplify: iters left: 1 (320 enodes) 1540196848.137 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196848.137 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196848.137 * * * * [misc]progress: [ 1225 / 6870 ] simplifiying candidate # 1540196848.138 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196848.138 * * [misc]simplify: iters left: 6 (17 enodes) 1540196848.140 * * [misc]simplify: iters left: 5 (27 enodes) 1540196848.145 * * [misc]simplify: iters left: 4 (42 enodes) 1540196848.154 * * [misc]simplify: iters left: 3 (76 enodes) 1540196848.179 * * [misc]simplify: iters left: 2 (155 enodes) 1540196848.229 * * [misc]simplify: iters left: 1 (338 enodes) 1540196848.404 * [exit]simplify: Simplified to (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196848.405 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196848.405 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196848.405 * * [misc]simplify: iters left: 6 (20 enodes) 1540196848.408 * * [misc]simplify: iters left: 5 (29 enodes) 1540196848.412 * * [misc]simplify: iters left: 4 (48 enodes) 1540196848.419 * * [misc]simplify: iters left: 3 (96 enodes) 1540196848.443 * * [misc]simplify: iters left: 2 (183 enodes) 1540196848.492 * * [misc]simplify: iters left: 1 (325 enodes) 1540196848.637 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196848.637 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (fabs (cbrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196848.637 * * * * [misc]progress: [ 1226 / 6870 ] simplifiying candidate # 1540196848.637 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196848.637 * * [misc]simplify: iters left: 6 (15 enodes) 1540196848.640 * * [misc]simplify: iters left: 5 (24 enodes) 1540196848.644 * * [misc]simplify: iters left: 4 (41 enodes) 1540196848.651 * * [misc]simplify: iters left: 3 (86 enodes) 1540196848.668 * * [misc]simplify: iters left: 2 (151 enodes) 1540196848.730 * * [misc]simplify: iters left: 1 (230 enodes) 1540196848.814 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196848.814 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196848.814 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196848.815 * * [misc]simplify: iters left: 6 (16 enodes) 1540196848.819 * * [misc]simplify: iters left: 5 (24 enodes) 1540196848.826 * * [misc]simplify: iters left: 4 (41 enodes) 1540196848.839 * * [misc]simplify: iters left: 3 (86 enodes) 1540196848.869 * * [misc]simplify: iters left: 2 (151 enodes) 1540196848.917 * * [misc]simplify: iters left: 1 (234 enodes) 1540196849.008 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196849.008 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196849.009 * * * * [misc]progress: [ 1227 / 6870 ] simplifiying candidate # 1540196849.009 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196849.009 * * [misc]simplify: iters left: 6 (15 enodes) 1540196849.012 * * [misc]simplify: iters left: 5 (24 enodes) 1540196849.016 * * [misc]simplify: iters left: 4 (41 enodes) 1540196849.022 * * [misc]simplify: iters left: 3 (86 enodes) 1540196849.039 * * [misc]simplify: iters left: 2 (151 enodes) 1540196849.073 * * [misc]simplify: iters left: 1 (230 enodes) 1540196849.127 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196849.127 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196849.127 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196849.127 * * [misc]simplify: iters left: 6 (16 enodes) 1540196849.131 * * [misc]simplify: iters left: 5 (24 enodes) 1540196849.139 * * [misc]simplify: iters left: 4 (41 enodes) 1540196849.147 * * [misc]simplify: iters left: 3 (86 enodes) 1540196849.163 * * [misc]simplify: iters left: 2 (151 enodes) 1540196849.197 * * [misc]simplify: iters left: 1 (234 enodes) 1540196849.262 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196849.262 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196849.262 * * * * [misc]progress: [ 1228 / 6870 ] simplifiying candidate # 1540196849.262 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196849.262 * * [misc]simplify: iters left: 6 (19 enodes) 1540196849.267 * * [misc]simplify: iters left: 5 (31 enodes) 1540196849.274 * * [misc]simplify: iters left: 4 (57 enodes) 1540196849.285 * * [misc]simplify: iters left: 3 (133 enodes) 1540196849.329 * * [misc]simplify: iters left: 2 (298 enodes) 1540196849.472 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196849.472 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196849.473 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196849.473 * * [misc]simplify: iters left: 6 (19 enodes) 1540196849.475 * * [misc]simplify: iters left: 5 (28 enodes) 1540196849.479 * * [misc]simplify: iters left: 4 (46 enodes) 1540196849.486 * * [misc]simplify: iters left: 3 (91 enodes) 1540196849.514 * * [misc]simplify: iters left: 2 (156 enodes) 1540196849.547 * * [misc]simplify: iters left: 1 (236 enodes) 1540196849.640 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196849.640 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196849.640 * * * * [misc]progress: [ 1229 / 6870 ] simplifiying candidate # 1540196849.640 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196849.640 * * [misc]simplify: iters left: 6 (18 enodes) 1540196849.643 * * [misc]simplify: iters left: 5 (28 enodes) 1540196849.646 * * [misc]simplify: iters left: 4 (48 enodes) 1540196849.654 * * [misc]simplify: iters left: 3 (93 enodes) 1540196849.672 * * [misc]simplify: iters left: 2 (158 enodes) 1540196849.713 * * [misc]simplify: iters left: 1 (243 enodes) 1540196849.791 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196849.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196849.792 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196849.792 * * [misc]simplify: iters left: 6 (19 enodes) 1540196849.794 * * [misc]simplify: iters left: 5 (28 enodes) 1540196849.798 * * [misc]simplify: iters left: 4 (46 enodes) 1540196849.805 * * [misc]simplify: iters left: 3 (91 enodes) 1540196849.824 * * [misc]simplify: iters left: 2 (156 enodes) 1540196849.871 * * [misc]simplify: iters left: 1 (236 enodes) 1540196849.940 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196849.940 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196849.940 * * * * [misc]progress: [ 1230 / 6870 ] simplifiying candidate # 1540196849.940 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196849.940 * * [misc]simplify: iters left: 6 (14 enodes) 1540196849.942 * * [misc]simplify: iters left: 5 (24 enodes) 1540196849.946 * * [misc]simplify: iters left: 4 (45 enodes) 1540196849.953 * * [misc]simplify: iters left: 3 (68 enodes) 1540196849.963 * * [misc]simplify: iters left: 2 (101 enodes) 1540196849.988 * * [misc]simplify: iters left: 1 (157 enodes) 1540196850.049 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540196850.049 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196850.050 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196850.050 * * [misc]simplify: iters left: 6 (18 enodes) 1540196850.055 * * [misc]simplify: iters left: 5 (27 enodes) 1540196850.062 * * [misc]simplify: iters left: 4 (45 enodes) 1540196850.069 * * [misc]simplify: iters left: 3 (90 enodes) 1540196850.085 * * [misc]simplify: iters left: 2 (155 enodes) 1540196850.119 * * [misc]simplify: iters left: 1 (239 enodes) 1540196850.185 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196850.185 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196850.185 * * * * [misc]progress: [ 1231 / 6870 ] simplifiying candidate # 1540196850.186 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196850.186 * * [misc]simplify: iters left: 6 (17 enodes) 1540196850.192 * * [misc]simplify: iters left: 5 (28 enodes) 1540196850.200 * * [misc]simplify: iters left: 4 (48 enodes) 1540196850.210 * * [misc]simplify: iters left: 3 (115 enodes) 1540196850.236 * * [misc]simplify: iters left: 2 (271 enodes) 1540196850.365 * * [misc]simplify: iters left: 1 (496 enodes) 1540196850.693 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540196850.693 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196850.694 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196850.694 * * [misc]simplify: iters left: 6 (16 enodes) 1540196850.696 * * [misc]simplify: iters left: 5 (24 enodes) 1540196850.699 * * [misc]simplify: iters left: 4 (42 enodes) 1540196850.714 * * [misc]simplify: iters left: 3 (90 enodes) 1540196850.732 * * [misc]simplify: iters left: 2 (177 enodes) 1540196850.773 * * [misc]simplify: iters left: 1 (315 enodes) 1540196850.909 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196850.909 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196850.909 * * * * [misc]progress: [ 1232 / 6870 ] simplifiying candidate # 1540196850.909 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196850.909 * * [misc]simplify: iters left: 6 (17 enodes) 1540196850.913 * * [misc]simplify: iters left: 5 (28 enodes) 1540196850.917 * * [misc]simplify: iters left: 4 (48 enodes) 1540196850.926 * * [misc]simplify: iters left: 3 (115 enodes) 1540196850.966 * * [misc]simplify: iters left: 2 (271 enodes) 1540196851.093 * * [misc]simplify: iters left: 1 (496 enodes) 1540196851.407 * [exit]simplify: Simplified to (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) 1540196851.407 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196851.407 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196851.408 * * [misc]simplify: iters left: 6 (16 enodes) 1540196851.410 * * [misc]simplify: iters left: 5 (24 enodes) 1540196851.413 * * [misc]simplify: iters left: 4 (42 enodes) 1540196851.420 * * [misc]simplify: iters left: 3 (90 enodes) 1540196851.438 * * [misc]simplify: iters left: 2 (177 enodes) 1540196851.497 * * [misc]simplify: iters left: 1 (315 enodes) 1540196851.653 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196851.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (* (sqrt 2) (sqrt n))) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196851.653 * * * * [misc]progress: [ 1233 / 6870 ] simplifiying candidate # 1540196851.653 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196851.654 * * [misc]simplify: iters left: 6 (21 enodes) 1540196851.657 * * [misc]simplify: iters left: 5 (35 enodes) 1540196851.663 * * [misc]simplify: iters left: 4 (65 enodes) 1540196851.681 * * [misc]simplify: iters left: 3 (171 enodes) 1540196851.747 * * [misc]simplify: iters left: 2 (455 enodes) 1540196852.105 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n)))) 1540196852.106 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196852.106 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196852.106 * * [misc]simplify: iters left: 6 (19 enodes) 1540196852.111 * * [misc]simplify: iters left: 5 (28 enodes) 1540196852.119 * * [misc]simplify: iters left: 4 (47 enodes) 1540196852.127 * * [misc]simplify: iters left: 3 (95 enodes) 1540196852.147 * * [misc]simplify: iters left: 2 (182 enodes) 1540196852.195 * * [misc]simplify: iters left: 1 (320 enodes) 1540196852.326 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196852.327 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196852.327 * * * * [misc]progress: [ 1234 / 6870 ] simplifiying candidate # 1540196852.327 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196852.327 * * [misc]simplify: iters left: 6 (20 enodes) 1540196852.330 * * [misc]simplify: iters left: 5 (32 enodes) 1540196852.334 * * [misc]simplify: iters left: 4 (55 enodes) 1540196852.347 * * [misc]simplify: iters left: 3 (122 enodes) 1540196852.400 * * [misc]simplify: iters left: 2 (285 enodes) 1540196852.527 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196852.527 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196852.528 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196852.528 * * [misc]simplify: iters left: 6 (19 enodes) 1540196852.530 * * [misc]simplify: iters left: 5 (28 enodes) 1540196852.535 * * [misc]simplify: iters left: 4 (47 enodes) 1540196852.544 * * [misc]simplify: iters left: 3 (95 enodes) 1540196852.562 * * [misc]simplify: iters left: 2 (182 enodes) 1540196852.604 * * [misc]simplify: iters left: 1 (320 enodes) 1540196852.747 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196852.748 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196852.748 * * * * [misc]progress: [ 1235 / 6870 ] simplifiying candidate # 1540196852.748 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196852.748 * * [misc]simplify: iters left: 6 (15 enodes) 1540196852.751 * * [misc]simplify: iters left: 5 (25 enodes) 1540196852.754 * * [misc]simplify: iters left: 4 (33 enodes) 1540196852.759 * * [misc]simplify: iters left: 3 (55 enodes) 1540196852.769 * * [misc]simplify: iters left: 2 (89 enodes) 1540196852.791 * * [misc]simplify: iters left: 1 (147 enodes) 1540196852.855 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196852.855 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196852.855 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196852.855 * * [misc]simplify: iters left: 6 (18 enodes) 1540196852.858 * * [misc]simplify: iters left: 5 (27 enodes) 1540196852.862 * * [misc]simplify: iters left: 4 (46 enodes) 1540196852.869 * * [misc]simplify: iters left: 3 (94 enodes) 1540196852.887 * * [misc]simplify: iters left: 2 (181 enodes) 1540196852.945 * * [misc]simplify: iters left: 1 (322 enodes) 1540196853.094 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196853.094 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196853.095 * * * * [misc]progress: [ 1236 / 6870 ] simplifiying candidate # 1540196853.095 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196853.095 * * [misc]simplify: iters left: 6 (15 enodes) 1540196853.100 * * [misc]simplify: iters left: 5 (24 enodes) 1540196853.104 * * [misc]simplify: iters left: 4 (41 enodes) 1540196853.112 * * [misc]simplify: iters left: 3 (86 enodes) 1540196853.130 * * [misc]simplify: iters left: 2 (151 enodes) 1540196853.172 * * [misc]simplify: iters left: 1 (230 enodes) 1540196853.239 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196853.239 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196853.240 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196853.240 * * [misc]simplify: iters left: 6 (16 enodes) 1540196853.242 * * [misc]simplify: iters left: 5 (24 enodes) 1540196853.247 * * [misc]simplify: iters left: 4 (41 enodes) 1540196853.254 * * [misc]simplify: iters left: 3 (86 enodes) 1540196853.272 * * [misc]simplify: iters left: 2 (151 enodes) 1540196853.306 * * [misc]simplify: iters left: 1 (234 enodes) 1540196853.380 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196853.380 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196853.380 * * * * [misc]progress: [ 1237 / 6870 ] simplifiying candidate # 1540196853.380 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196853.380 * * [misc]simplify: iters left: 6 (15 enodes) 1540196853.384 * * [misc]simplify: iters left: 5 (24 enodes) 1540196853.387 * * [misc]simplify: iters left: 4 (41 enodes) 1540196853.396 * * [misc]simplify: iters left: 3 (86 enodes) 1540196853.412 * * [misc]simplify: iters left: 2 (151 enodes) 1540196853.449 * * [misc]simplify: iters left: 1 (230 enodes) 1540196853.513 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196853.514 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196853.514 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196853.514 * * [misc]simplify: iters left: 6 (16 enodes) 1540196853.516 * * [misc]simplify: iters left: 5 (24 enodes) 1540196853.520 * * [misc]simplify: iters left: 4 (41 enodes) 1540196853.527 * * [misc]simplify: iters left: 3 (86 enodes) 1540196853.556 * * [misc]simplify: iters left: 2 (151 enodes) 1540196853.594 * * [misc]simplify: iters left: 1 (234 enodes) 1540196853.674 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) 1540196853.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1540196853.674 * * * * [misc]progress: [ 1238 / 6870 ] simplifiying candidate # 1540196853.674 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196853.674 * * [misc]simplify: iters left: 6 (19 enodes) 1540196853.677 * * [misc]simplify: iters left: 5 (31 enodes) 1540196853.682 * * [misc]simplify: iters left: 4 (57 enodes) 1540196853.695 * * [misc]simplify: iters left: 3 (133 enodes) 1540196853.752 * * [misc]simplify: iters left: 2 (298 enodes) 1540196853.894 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196853.894 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196853.894 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196853.894 * * [misc]simplify: iters left: 6 (19 enodes) 1540196853.897 * * [misc]simplify: iters left: 5 (28 enodes) 1540196853.901 * * [misc]simplify: iters left: 4 (46 enodes) 1540196853.908 * * [misc]simplify: iters left: 3 (91 enodes) 1540196853.940 * * [misc]simplify: iters left: 2 (156 enodes) 1540196853.982 * * [misc]simplify: iters left: 1 (236 enodes) 1540196854.056 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196854.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196854.056 * * * * [misc]progress: [ 1239 / 6870 ] simplifiying candidate # 1540196854.056 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196854.056 * * [misc]simplify: iters left: 6 (18 enodes) 1540196854.059 * * [misc]simplify: iters left: 5 (28 enodes) 1540196854.063 * * [misc]simplify: iters left: 4 (48 enodes) 1540196854.070 * * [misc]simplify: iters left: 3 (93 enodes) 1540196854.086 * * [misc]simplify: iters left: 2 (158 enodes) 1540196854.129 * * [misc]simplify: iters left: 1 (243 enodes) 1540196854.214 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) 1540196854.214 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196854.214 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196854.214 * * [misc]simplify: iters left: 6 (19 enodes) 1540196854.217 * * [misc]simplify: iters left: 5 (28 enodes) 1540196854.221 * * [misc]simplify: iters left: 4 (46 enodes) 1540196854.228 * * [misc]simplify: iters left: 3 (91 enodes) 1540196854.244 * * [misc]simplify: iters left: 2 (156 enodes) 1540196854.286 * * [misc]simplify: iters left: 1 (236 enodes) 1540196854.364 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196854.364 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt n)))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196854.364 * * * * [misc]progress: [ 1240 / 6870 ] simplifiying candidate # 1540196854.364 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196854.364 * * [misc]simplify: iters left: 6 (14 enodes) 1540196854.366 * * [misc]simplify: iters left: 5 (24 enodes) 1540196854.371 * * [misc]simplify: iters left: 4 (45 enodes) 1540196854.379 * * [misc]simplify: iters left: 3 (68 enodes) 1540196854.389 * * [misc]simplify: iters left: 2 (101 enodes) 1540196854.417 * * [misc]simplify: iters left: 1 (157 enodes) 1540196854.465 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540196854.465 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196854.465 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196854.465 * * [misc]simplify: iters left: 6 (18 enodes) 1540196854.468 * * [misc]simplify: iters left: 5 (27 enodes) 1540196854.472 * * [misc]simplify: iters left: 4 (45 enodes) 1540196854.479 * * [misc]simplify: iters left: 3 (90 enodes) 1540196854.495 * * [misc]simplify: iters left: 2 (155 enodes) 1540196854.529 * * [misc]simplify: iters left: 1 (239 enodes) 1540196854.592 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196854.592 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196854.592 * * * * [misc]progress: [ 1241 / 6870 ] simplifiying candidate # 1540196854.592 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196854.593 * * [misc]simplify: iters left: 6 (16 enodes) 1540196854.596 * * [misc]simplify: iters left: 5 (27 enodes) 1540196854.601 * * [misc]simplify: iters left: 4 (43 enodes) 1540196854.615 * * [misc]simplify: iters left: 3 (95 enodes) 1540196854.651 * * [misc]simplify: iters left: 2 (200 enodes) 1540196854.749 * * [misc]simplify: iters left: 1 (409 enodes) 1540196854.982 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196854.983 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196854.983 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196854.983 * * [misc]simplify: iters left: 6 (16 enodes) 1540196854.985 * * [misc]simplify: iters left: 5 (24 enodes) 1540196854.989 * * [misc]simplify: iters left: 4 (42 enodes) 1540196854.996 * * [misc]simplify: iters left: 3 (90 enodes) 1540196855.017 * * [misc]simplify: iters left: 2 (177 enodes) 1540196855.070 * * [misc]simplify: iters left: 1 (315 enodes) 1540196855.206 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196855.206 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196855.206 * * * * [misc]progress: [ 1242 / 6870 ] simplifiying candidate # 1540196855.206 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196855.206 * * [misc]simplify: iters left: 6 (16 enodes) 1540196855.209 * * [misc]simplify: iters left: 5 (27 enodes) 1540196855.215 * * [misc]simplify: iters left: 4 (43 enodes) 1540196855.228 * * [misc]simplify: iters left: 3 (95 enodes) 1540196855.247 * * [misc]simplify: iters left: 2 (200 enodes) 1540196855.352 * * [misc]simplify: iters left: 1 (409 enodes) 1540196855.617 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196855.617 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196855.617 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196855.618 * * [misc]simplify: iters left: 6 (16 enodes) 1540196855.623 * * [misc]simplify: iters left: 5 (24 enodes) 1540196855.631 * * [misc]simplify: iters left: 4 (42 enodes) 1540196855.644 * * [misc]simplify: iters left: 3 (90 enodes) 1540196855.664 * * [misc]simplify: iters left: 2 (177 enodes) 1540196855.709 * * [misc]simplify: iters left: 1 (315 enodes) 1540196855.847 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196855.847 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196855.847 * * * * [misc]progress: [ 1243 / 6870 ] simplifiying candidate # 1540196855.847 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196855.848 * * [misc]simplify: iters left: 6 (20 enodes) 1540196855.851 * * [misc]simplify: iters left: 5 (34 enodes) 1540196855.855 * * [misc]simplify: iters left: 4 (59 enodes) 1540196855.868 * * [misc]simplify: iters left: 3 (153 enodes) 1540196855.907 * * [misc]simplify: iters left: 2 (394 enodes) 1540196856.167 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k))))) 1540196856.167 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196856.167 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196856.167 * * [misc]simplify: iters left: 6 (19 enodes) 1540196856.170 * * [misc]simplify: iters left: 5 (28 enodes) 1540196856.174 * * [misc]simplify: iters left: 4 (47 enodes) 1540196856.181 * * [misc]simplify: iters left: 3 (95 enodes) 1540196856.214 * * [misc]simplify: iters left: 2 (182 enodes) 1540196856.264 * * [misc]simplify: iters left: 1 (320 enodes) 1540196856.382 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196856.383 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196856.383 * * * * [misc]progress: [ 1244 / 6870 ] simplifiying candidate # 1540196856.383 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196856.383 * * [misc]simplify: iters left: 6 (19 enodes) 1540196856.386 * * [misc]simplify: iters left: 5 (31 enodes) 1540196856.390 * * [misc]simplify: iters left: 4 (50 enodes) 1540196856.398 * * [misc]simplify: iters left: 3 (102 enodes) 1540196856.417 * * [misc]simplify: iters left: 2 (206 enodes) 1540196856.494 * * [misc]simplify: iters left: 1 (437 enodes) 1540196856.854 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196856.854 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196856.854 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196856.854 * * [misc]simplify: iters left: 6 (19 enodes) 1540196856.857 * * [misc]simplify: iters left: 5 (28 enodes) 1540196856.860 * * [misc]simplify: iters left: 4 (47 enodes) 1540196856.868 * * [misc]simplify: iters left: 3 (95 enodes) 1540196856.885 * * [misc]simplify: iters left: 2 (182 enodes) 1540196856.946 * * [misc]simplify: iters left: 1 (320 enodes) 1540196857.073 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196857.073 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196857.073 * * * * [misc]progress: [ 1245 / 6870 ] simplifiying candidate # 1540196857.073 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ 1 1)) 1540196857.073 * * [misc]simplify: iters left: 6 (14 enodes) 1540196857.075 * * [misc]simplify: iters left: 5 (22 enodes) 1540196857.078 * * [misc]simplify: iters left: 4 (30 enodes) 1540196857.083 * * [misc]simplify: iters left: 3 (45 enodes) 1540196857.088 * * [misc]simplify: iters left: 2 (68 enodes) 1540196857.097 * * [misc]simplify: iters left: 1 (86 enodes) 1540196857.108 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196857.108 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196857.108 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196857.108 * * [misc]simplify: iters left: 6 (18 enodes) 1540196857.110 * * [misc]simplify: iters left: 5 (27 enodes) 1540196857.116 * * [misc]simplify: iters left: 4 (46 enodes) 1540196857.130 * * [misc]simplify: iters left: 3 (94 enodes) 1540196857.164 * * [misc]simplify: iters left: 2 (181 enodes) 1540196857.228 * * [misc]simplify: iters left: 1 (322 enodes) 1540196857.384 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196857.384 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196857.385 * * * * [misc]progress: [ 1246 / 6870 ] simplifiying candidate # 1540196857.385 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) 1) 1540196857.385 * * [misc]simplify: iters left: 6 (13 enodes) 1540196857.389 * * [misc]simplify: iters left: 5 (21 enodes) 1540196857.397 * * [misc]simplify: iters left: 4 (31 enodes) 1540196857.406 * * [misc]simplify: iters left: 3 (50 enodes) 1540196857.419 * * [misc]simplify: iters left: 2 (81 enodes) 1540196857.432 * * [misc]simplify: iters left: 1 (100 enodes) 1540196857.444 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196857.444 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196857.445 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196857.445 * * [misc]simplify: iters left: 6 (18 enodes) 1540196857.448 * * [misc]simplify: iters left: 5 (27 enodes) 1540196857.455 * * [misc]simplify: iters left: 4 (46 enodes) 1540196857.463 * * [misc]simplify: iters left: 3 (94 enodes) 1540196857.480 * * [misc]simplify: iters left: 2 (181 enodes) 1540196857.531 * * [misc]simplify: iters left: 1 (322 enodes) 1540196857.670 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196857.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196857.670 * * * * [misc]progress: [ 1247 / 6870 ] simplifiying candidate # 1540196857.670 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (sqrt (sqrt k))) 1540196857.670 * * [misc]simplify: iters left: 6 (12 enodes) 1540196857.672 * * [misc]simplify: iters left: 5 (18 enodes) 1540196857.674 * * [misc]simplify: iters left: 4 (28 enodes) 1540196857.678 * * [misc]simplify: iters left: 3 (43 enodes) 1540196857.684 * * [misc]simplify: iters left: 2 (60 enodes) 1540196857.700 * * [misc]simplify: iters left: 1 (77 enodes) 1540196857.720 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196857.720 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196857.720 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196857.720 * * [misc]simplify: iters left: 6 (19 enodes) 1540196857.727 * * [misc]simplify: iters left: 5 (30 enodes) 1540196857.733 * * [misc]simplify: iters left: 4 (47 enodes) 1540196857.741 * * [misc]simplify: iters left: 3 (99 enodes) 1540196857.759 * * [misc]simplify: iters left: 2 (206 enodes) 1540196857.845 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540196857.845 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))))) 1540196857.845 * * * * [misc]progress: [ 1248 / 6870 ] simplifiying candidate # 1540196857.845 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196857.845 * * [misc]simplify: iters left: 6 (15 enodes) 1540196857.848 * * [misc]simplify: iters left: 5 (24 enodes) 1540196857.852 * * [misc]simplify: iters left: 4 (42 enodes) 1540196857.859 * * [misc]simplify: iters left: 3 (90 enodes) 1540196857.877 * * [misc]simplify: iters left: 2 (177 enodes) 1540196857.950 * * [misc]simplify: iters left: 1 (319 enodes) 1540196858.055 * [exit]simplify: Simplified to (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) 1540196858.055 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196858.055 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196858.055 * * [misc]simplify: iters left: 6 (15 enodes) 1540196858.058 * * [misc]simplify: iters left: 5 (21 enodes) 1540196858.060 * * [misc]simplify: iters left: 4 (31 enodes) 1540196858.065 * * [misc]simplify: iters left: 3 (46 enodes) 1540196858.071 * * [misc]simplify: iters left: 2 (63 enodes) 1540196858.080 * * [misc]simplify: iters left: 1 (80 enodes) 1540196858.091 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196858.091 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (* (sqrt PI) (sqrt 2)))) (* (/ (pow n (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196858.091 * * * * [misc]progress: [ 1249 / 6870 ] simplifiying candidate # 1540196858.092 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196858.092 * * [misc]simplify: iters left: 6 (21 enodes) 1540196858.095 * * [misc]simplify: iters left: 5 (32 enodes) 1540196858.099 * * [misc]simplify: iters left: 4 (57 enodes) 1540196858.109 * * [misc]simplify: iters left: 3 (122 enodes) 1540196858.134 * * [misc]simplify: iters left: 2 (251 enodes) 1540196858.240 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196858.240 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196858.241 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196858.243 * * [misc]simplify: iters left: 6 (20 enodes) 1540196858.248 * * [misc]simplify: iters left: 5 (27 enodes) 1540196858.255 * * [misc]simplify: iters left: 4 (38 enodes) 1540196858.265 * * [misc]simplify: iters left: 3 (53 enodes) 1540196858.279 * * [misc]simplify: iters left: 2 (70 enodes) 1540196858.297 * * [misc]simplify: iters left: 1 (87 enodes) 1540196858.316 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196858.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196858.316 * * * * [misc]progress: [ 1250 / 6870 ] simplifiying candidate # 1540196858.317 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196858.317 * * [misc]simplify: iters left: 6 (20 enodes) 1540196858.319 * * [misc]simplify: iters left: 5 (29 enodes) 1540196858.323 * * [misc]simplify: iters left: 4 (46 enodes) 1540196858.330 * * [misc]simplify: iters left: 3 (80 enodes) 1540196858.343 * * [misc]simplify: iters left: 2 (135 enodes) 1540196858.376 * * [misc]simplify: iters left: 1 (205 enodes) 1540196858.444 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196858.444 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196858.444 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196858.444 * * [misc]simplify: iters left: 6 (20 enodes) 1540196858.447 * * [misc]simplify: iters left: 5 (27 enodes) 1540196858.450 * * [misc]simplify: iters left: 4 (38 enodes) 1540196858.455 * * [misc]simplify: iters left: 3 (53 enodes) 1540196858.462 * * [misc]simplify: iters left: 2 (70 enodes) 1540196858.471 * * [misc]simplify: iters left: 1 (87 enodes) 1540196858.483 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196858.483 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196858.483 * * * * [misc]progress: [ 1251 / 6870 ] simplifiying candidate # 1540196858.483 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196858.483 * * [misc]simplify: iters left: 6 (21 enodes) 1540196858.487 * * [misc]simplify: iters left: 5 (35 enodes) 1540196858.493 * * [misc]simplify: iters left: 4 (70 enodes) 1540196858.509 * * [misc]simplify: iters left: 3 (215 enodes) 1540196858.608 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196858.608 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196858.609 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196858.609 * * [misc]simplify: iters left: 6 (20 enodes) 1540196858.611 * * [misc]simplify: iters left: 5 (29 enodes) 1540196858.615 * * [misc]simplify: iters left: 4 (48 enodes) 1540196858.622 * * [misc]simplify: iters left: 3 (96 enodes) 1540196858.643 * * [misc]simplify: iters left: 2 (183 enodes) 1540196858.720 * * [misc]simplify: iters left: 1 (324 enodes) 1540196858.859 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196858.859 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196858.859 * * * * [misc]progress: [ 1252 / 6870 ] simplifiying candidate # 1540196858.860 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196858.860 * * [misc]simplify: iters left: 6 (21 enodes) 1540196858.866 * * [misc]simplify: iters left: 5 (35 enodes) 1540196858.872 * * [misc]simplify: iters left: 4 (70 enodes) 1540196858.887 * * [misc]simplify: iters left: 3 (215 enodes) 1540196859.019 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196859.019 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196859.020 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196859.020 * * [misc]simplify: iters left: 6 (20 enodes) 1540196859.023 * * [misc]simplify: iters left: 5 (29 enodes) 1540196859.027 * * [misc]simplify: iters left: 4 (48 enodes) 1540196859.037 * * [misc]simplify: iters left: 3 (96 enodes) 1540196859.060 * * [misc]simplify: iters left: 2 (183 enodes) 1540196859.115 * * [misc]simplify: iters left: 1 (324 enodes) 1540196859.251 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196859.251 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196859.251 * * * * [misc]progress: [ 1253 / 6870 ] simplifiying candidate # 1540196859.251 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196859.251 * * [misc]simplify: iters left: 6 (23 enodes) 1540196859.255 * * [misc]simplify: iters left: 5 (40 enodes) 1540196859.261 * * [misc]simplify: iters left: 4 (95 enodes) 1540196859.282 * * [misc]simplify: iters left: 3 (329 enodes) 1540196859.469 * [exit]simplify: Simplified to (/ (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196859.469 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196859.469 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196859.470 * * [misc]simplify: iters left: 6 (21 enodes) 1540196859.472 * * [misc]simplify: iters left: 5 (30 enodes) 1540196859.476 * * [misc]simplify: iters left: 4 (49 enodes) 1540196859.486 * * [misc]simplify: iters left: 3 (97 enodes) 1540196859.504 * * [misc]simplify: iters left: 2 (184 enodes) 1540196859.556 * * [misc]simplify: iters left: 1 (323 enodes) 1540196859.669 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196859.669 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196859.669 * * * * [misc]progress: [ 1254 / 6870 ] simplifiying candidate # 1540196859.670 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196859.670 * * [misc]simplify: iters left: 6 (22 enodes) 1540196859.673 * * [misc]simplify: iters left: 5 (35 enodes) 1540196859.678 * * [misc]simplify: iters left: 4 (70 enodes) 1540196859.695 * * [misc]simplify: iters left: 3 (215 enodes) 1540196859.805 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196859.805 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196859.805 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196859.805 * * [misc]simplify: iters left: 6 (21 enodes) 1540196859.812 * * [misc]simplify: iters left: 5 (30 enodes) 1540196859.820 * * [misc]simplify: iters left: 4 (49 enodes) 1540196859.835 * * [misc]simplify: iters left: 3 (97 enodes) 1540196859.873 * * [misc]simplify: iters left: 2 (184 enodes) 1540196859.916 * * [misc]simplify: iters left: 1 (323 enodes) 1540196860.056 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196860.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196860.056 * * * * [misc]progress: [ 1255 / 6870 ] simplifiying candidate # 1540196860.056 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196860.057 * * [misc]simplify: iters left: 6 (21 enodes) 1540196860.060 * * [misc]simplify: iters left: 5 (36 enodes) 1540196860.066 * * [misc]simplify: iters left: 4 (71 enodes) 1540196860.086 * * [misc]simplify: iters left: 3 (209 enodes) 1540196860.195 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540196860.195 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196860.196 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196860.196 * * [misc]simplify: iters left: 6 (20 enodes) 1540196860.199 * * [misc]simplify: iters left: 5 (29 enodes) 1540196860.203 * * [misc]simplify: iters left: 4 (48 enodes) 1540196860.211 * * [misc]simplify: iters left: 3 (96 enodes) 1540196860.234 * * [misc]simplify: iters left: 2 (183 enodes) 1540196860.317 * * [misc]simplify: iters left: 1 (324 enodes) 1540196860.447 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196860.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196860.447 * * * * [misc]progress: [ 1256 / 6870 ] simplifiying candidate # 1540196860.447 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196860.448 * * [misc]simplify: iters left: 6 (22 enodes) 1540196860.455 * * [misc]simplify: iters left: 5 (35 enodes) 1540196860.465 * * [misc]simplify: iters left: 4 (60 enodes) 1540196860.476 * * [misc]simplify: iters left: 3 (136 enodes) 1540196860.522 * * [misc]simplify: iters left: 2 (320 enodes) 1540196860.658 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt 2) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196860.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt 2) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196860.659 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196860.659 * * [misc]simplify: iters left: 6 (21 enodes) 1540196860.664 * * [misc]simplify: iters left: 5 (30 enodes) 1540196860.669 * * [misc]simplify: iters left: 4 (49 enodes) 1540196860.676 * * [misc]simplify: iters left: 3 (97 enodes) 1540196860.697 * * [misc]simplify: iters left: 2 (184 enodes) 1540196860.765 * * [misc]simplify: iters left: 1 (323 enodes) 1540196860.898 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196860.898 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt 2) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196860.898 * * * * [misc]progress: [ 1257 / 6870 ] simplifiying candidate # 1540196860.898 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196860.898 * * [misc]simplify: iters left: 6 (22 enodes) 1540196860.902 * * [misc]simplify: iters left: 5 (35 enodes) 1540196860.908 * * [misc]simplify: iters left: 4 (60 enodes) 1540196860.919 * * [misc]simplify: iters left: 3 (136 enodes) 1540196860.956 * * [misc]simplify: iters left: 2 (320 enodes) 1540196861.129 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt 2) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196861.129 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt 2) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196861.129 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196861.130 * * [misc]simplify: iters left: 6 (21 enodes) 1540196861.135 * * [misc]simplify: iters left: 5 (30 enodes) 1540196861.139 * * [misc]simplify: iters left: 4 (49 enodes) 1540196861.147 * * [misc]simplify: iters left: 3 (97 enodes) 1540196861.165 * * [misc]simplify: iters left: 2 (184 enodes) 1540196861.218 * * [misc]simplify: iters left: 1 (323 enodes) 1540196861.341 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196861.341 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt 2) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196861.341 * * * * [misc]progress: [ 1258 / 6870 ] simplifiying candidate # 1540196861.341 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196861.341 * * [misc]simplify: iters left: 6 (24 enodes) 1540196861.347 * * [misc]simplify: iters left: 5 (38 enodes) 1540196861.358 * * [misc]simplify: iters left: 4 (69 enodes) 1540196861.382 * * [misc]simplify: iters left: 3 (181 enodes) 1540196861.462 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196861.462 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196861.462 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196861.463 * * [misc]simplify: iters left: 6 (22 enodes) 1540196861.469 * * [misc]simplify: iters left: 5 (31 enodes) 1540196861.474 * * [misc]simplify: iters left: 4 (50 enodes) 1540196861.482 * * [misc]simplify: iters left: 3 (98 enodes) 1540196861.499 * * [misc]simplify: iters left: 2 (185 enodes) 1540196861.553 * * [misc]simplify: iters left: 1 (321 enodes) 1540196861.682 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196861.683 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196861.683 * * * * [misc]progress: [ 1259 / 6870 ] simplifiying candidate # 1540196861.683 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196861.683 * * [misc]simplify: iters left: 6 (23 enodes) 1540196861.690 * * [misc]simplify: iters left: 5 (35 enodes) 1540196861.698 * * [misc]simplify: iters left: 4 (60 enodes) 1540196861.708 * * [misc]simplify: iters left: 3 (136 enodes) 1540196861.748 * * [misc]simplify: iters left: 2 (314 enodes) 1540196861.898 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196861.898 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196861.899 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196861.899 * * [misc]simplify: iters left: 6 (22 enodes) 1540196861.902 * * [misc]simplify: iters left: 5 (31 enodes) 1540196861.906 * * [misc]simplify: iters left: 4 (50 enodes) 1540196861.914 * * [misc]simplify: iters left: 3 (98 enodes) 1540196861.940 * * [misc]simplify: iters left: 2 (185 enodes) 1540196861.985 * * [misc]simplify: iters left: 1 (321 enodes) 1540196862.106 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196862.106 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196862.106 * * * * [misc]progress: [ 1260 / 6870 ] simplifiying candidate # 1540196862.106 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196862.106 * * [misc]simplify: iters left: 6 (22 enodes) 1540196862.110 * * [misc]simplify: iters left: 5 (35 enodes) 1540196862.115 * * [misc]simplify: iters left: 4 (57 enodes) 1540196862.124 * * [misc]simplify: iters left: 3 (113 enodes) 1540196862.153 * * [misc]simplify: iters left: 2 (339 enodes) 1540196862.356 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196862.356 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196862.356 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196862.356 * * [misc]simplify: iters left: 6 (21 enodes) 1540196862.359 * * [misc]simplify: iters left: 5 (30 enodes) 1540196862.363 * * [misc]simplify: iters left: 4 (49 enodes) 1540196862.370 * * [misc]simplify: iters left: 3 (97 enodes) 1540196862.389 * * [misc]simplify: iters left: 2 (184 enodes) 1540196862.435 * * [misc]simplify: iters left: 1 (323 enodes) 1540196862.561 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196862.561 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196862.561 * * * * [misc]progress: [ 1261 / 6870 ] simplifiying candidate # 1540196862.561 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196862.561 * * [misc]simplify: iters left: 6 (19 enodes) 1540196862.566 * * [misc]simplify: iters left: 5 (31 enodes) 1540196862.574 * * [misc]simplify: iters left: 4 (55 enodes) 1540196862.583 * * [misc]simplify: iters left: 3 (128 enodes) 1540196862.619 * * [misc]simplify: iters left: 2 (287 enodes) 1540196862.765 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196862.765 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196862.765 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196862.765 * * [misc]simplify: iters left: 6 (19 enodes) 1540196862.768 * * [misc]simplify: iters left: 5 (28 enodes) 1540196862.772 * * [misc]simplify: iters left: 4 (46 enodes) 1540196862.781 * * [misc]simplify: iters left: 3 (91 enodes) 1540196862.806 * * [misc]simplify: iters left: 2 (156 enodes) 1540196862.853 * * [misc]simplify: iters left: 1 (240 enodes) 1540196862.921 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196862.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196862.921 * * * * [misc]progress: [ 1262 / 6870 ] simplifiying candidate # 1540196862.921 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196862.921 * * [misc]simplify: iters left: 6 (19 enodes) 1540196862.928 * * [misc]simplify: iters left: 5 (31 enodes) 1540196862.938 * * [misc]simplify: iters left: 4 (55 enodes) 1540196862.951 * * [misc]simplify: iters left: 3 (128 enodes) 1540196862.992 * * [misc]simplify: iters left: 2 (287 enodes) 1540196863.165 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196863.165 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196863.166 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196863.166 * * [misc]simplify: iters left: 6 (19 enodes) 1540196863.169 * * [misc]simplify: iters left: 5 (28 enodes) 1540196863.173 * * [misc]simplify: iters left: 4 (46 enodes) 1540196863.180 * * [misc]simplify: iters left: 3 (91 enodes) 1540196863.200 * * [misc]simplify: iters left: 2 (156 enodes) 1540196863.251 * * [misc]simplify: iters left: 1 (240 enodes) 1540196863.328 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196863.328 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196863.328 * * * * [misc]progress: [ 1263 / 6870 ] simplifiying candidate # 1540196863.329 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196863.329 * * [misc]simplify: iters left: 6 (21 enodes) 1540196863.332 * * [misc]simplify: iters left: 5 (34 enodes) 1540196863.336 * * [misc]simplify: iters left: 4 (64 enodes) 1540196863.348 * * [misc]simplify: iters left: 3 (173 enodes) 1540196863.414 * * [misc]simplify: iters left: 2 (484 enodes) 1540196863.844 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196863.844 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196863.844 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196863.844 * * [misc]simplify: iters left: 6 (20 enodes) 1540196863.847 * * [misc]simplify: iters left: 5 (29 enodes) 1540196863.851 * * [misc]simplify: iters left: 4 (47 enodes) 1540196863.858 * * [misc]simplify: iters left: 3 (92 enodes) 1540196863.882 * * [misc]simplify: iters left: 2 (157 enodes) 1540196863.930 * * [misc]simplify: iters left: 1 (237 enodes) 1540196863.993 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196863.993 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196863.993 * * * * [misc]progress: [ 1264 / 6870 ] simplifiying candidate # 1540196863.993 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196863.994 * * [misc]simplify: iters left: 6 (20 enodes) 1540196863.999 * * [misc]simplify: iters left: 5 (31 enodes) 1540196864.004 * * [misc]simplify: iters left: 4 (55 enodes) 1540196864.013 * * [misc]simplify: iters left: 3 (128 enodes) 1540196864.052 * * [misc]simplify: iters left: 2 (288 enodes) 1540196864.169 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196864.169 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196864.169 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196864.170 * * [misc]simplify: iters left: 6 (20 enodes) 1540196864.175 * * [misc]simplify: iters left: 5 (29 enodes) 1540196864.184 * * [misc]simplify: iters left: 4 (47 enodes) 1540196864.198 * * [misc]simplify: iters left: 3 (92 enodes) 1540196864.225 * * [misc]simplify: iters left: 2 (157 enodes) 1540196864.268 * * [misc]simplify: iters left: 1 (237 enodes) 1540196864.341 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196864.341 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196864.341 * * * * [misc]progress: [ 1265 / 6870 ] simplifiying candidate # 1540196864.341 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196864.341 * * [misc]simplify: iters left: 6 (19 enodes) 1540196864.344 * * [misc]simplify: iters left: 5 (32 enodes) 1540196864.349 * * [misc]simplify: iters left: 4 (62 enodes) 1540196864.360 * * [misc]simplify: iters left: 3 (136 enodes) 1540196864.389 * * [misc]simplify: iters left: 2 (240 enodes) 1540196864.502 * * [misc]simplify: iters left: 1 (463 enodes) 1540196864.683 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196864.683 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196864.684 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196864.684 * * [misc]simplify: iters left: 6 (19 enodes) 1540196864.686 * * [misc]simplify: iters left: 5 (28 enodes) 1540196864.692 * * [misc]simplify: iters left: 4 (46 enodes) 1540196864.702 * * [misc]simplify: iters left: 3 (91 enodes) 1540196864.731 * * [misc]simplify: iters left: 2 (156 enodes) 1540196864.768 * * [misc]simplify: iters left: 1 (240 enodes) 1540196864.841 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540196864.842 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))))) 1540196864.842 * * * * [misc]progress: [ 1266 / 6870 ] simplifiying candidate # 1540196864.842 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196864.842 * * [misc]simplify: iters left: 6 (21 enodes) 1540196864.849 * * [misc]simplify: iters left: 5 (35 enodes) 1540196864.861 * * [misc]simplify: iters left: 4 (62 enodes) 1540196864.876 * * [misc]simplify: iters left: 3 (168 enodes) 1540196864.931 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196864.931 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196864.931 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196864.931 * * [misc]simplify: iters left: 6 (19 enodes) 1540196864.934 * * [misc]simplify: iters left: 5 (28 enodes) 1540196864.938 * * [misc]simplify: iters left: 4 (47 enodes) 1540196864.945 * * [misc]simplify: iters left: 3 (95 enodes) 1540196864.962 * * [misc]simplify: iters left: 2 (182 enodes) 1540196865.004 * * [misc]simplify: iters left: 1 (319 enodes) 1540196865.110 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196865.110 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196865.111 * * * * [misc]progress: [ 1267 / 6870 ] simplifiying candidate # 1540196865.111 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196865.111 * * [misc]simplify: iters left: 6 (21 enodes) 1540196865.116 * * [misc]simplify: iters left: 5 (35 enodes) 1540196865.126 * * [misc]simplify: iters left: 4 (62 enodes) 1540196865.143 * * [misc]simplify: iters left: 3 (168 enodes) 1540196865.199 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196865.199 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196865.199 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196865.199 * * [misc]simplify: iters left: 6 (19 enodes) 1540196865.202 * * [misc]simplify: iters left: 5 (28 enodes) 1540196865.206 * * [misc]simplify: iters left: 4 (47 enodes) 1540196865.213 * * [misc]simplify: iters left: 3 (95 enodes) 1540196865.230 * * [misc]simplify: iters left: 2 (182 enodes) 1540196865.294 * * [misc]simplify: iters left: 1 (319 enodes) 1540196865.435 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196865.435 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196865.435 * * * * [misc]progress: [ 1268 / 6870 ] simplifiying candidate # 1540196865.436 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196865.436 * * [misc]simplify: iters left: 6 (23 enodes) 1540196865.444 * * [misc]simplify: iters left: 5 (38 enodes) 1540196865.451 * * [misc]simplify: iters left: 4 (72 enodes) 1540196865.466 * * [misc]simplify: iters left: 3 (225 enodes) 1540196865.587 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196865.588 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196865.588 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196865.588 * * [misc]simplify: iters left: 6 (20 enodes) 1540196865.594 * * [misc]simplify: iters left: 5 (29 enodes) 1540196865.601 * * [misc]simplify: iters left: 4 (48 enodes) 1540196865.610 * * [misc]simplify: iters left: 3 (96 enodes) 1540196865.633 * * [misc]simplify: iters left: 2 (183 enodes) 1540196865.680 * * [misc]simplify: iters left: 1 (326 enodes) 1540196865.805 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196865.805 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196865.806 * * * * [misc]progress: [ 1269 / 6870 ] simplifiying candidate # 1540196865.806 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196865.806 * * [misc]simplify: iters left: 6 (22 enodes) 1540196865.810 * * [misc]simplify: iters left: 5 (35 enodes) 1540196865.817 * * [misc]simplify: iters left: 4 (62 enodes) 1540196865.839 * * [misc]simplify: iters left: 3 (168 enodes) 1540196865.898 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196865.898 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196865.898 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196865.898 * * [misc]simplify: iters left: 6 (20 enodes) 1540196865.901 * * [misc]simplify: iters left: 5 (29 enodes) 1540196865.905 * * [misc]simplify: iters left: 4 (48 enodes) 1540196865.915 * * [misc]simplify: iters left: 3 (96 enodes) 1540196865.933 * * [misc]simplify: iters left: 2 (183 enodes) 1540196865.988 * * [misc]simplify: iters left: 1 (326 enodes) 1540196866.128 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196866.128 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196866.130 * * * * [misc]progress: [ 1270 / 6870 ] simplifiying candidate # 1540196866.130 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) 1)) 1540196866.130 * * [misc]simplify: iters left: 6 (20 enodes) 1540196866.135 * * [misc]simplify: iters left: 5 (33 enodes) 1540196866.139 * * [misc]simplify: iters left: 4 (47 enodes) 1540196866.146 * * [misc]simplify: iters left: 3 (86 enodes) 1540196866.161 * * [misc]simplify: iters left: 2 (197 enodes) 1540196866.292 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196866.292 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196866.292 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196866.293 * * [misc]simplify: iters left: 6 (19 enodes) 1540196866.295 * * [misc]simplify: iters left: 5 (28 enodes) 1540196866.302 * * [misc]simplify: iters left: 4 (47 enodes) 1540196866.312 * * [misc]simplify: iters left: 3 (95 enodes) 1540196866.329 * * [misc]simplify: iters left: 2 (182 enodes) 1540196866.376 * * [misc]simplify: iters left: 1 (319 enodes) 1540196866.495 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196866.495 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196866.495 * * * * [misc]progress: [ 1271 / 6870 ] simplifiying candidate # 1540196866.496 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196866.496 * * [misc]simplify: iters left: 6 (19 enodes) 1540196866.499 * * [misc]simplify: iters left: 5 (31 enodes) 1540196866.508 * * [misc]simplify: iters left: 4 (55 enodes) 1540196866.525 * * [misc]simplify: iters left: 3 (128 enodes) 1540196866.561 * * [misc]simplify: iters left: 2 (287 enodes) 1540196866.697 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196866.697 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196866.697 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196866.697 * * [misc]simplify: iters left: 6 (19 enodes) 1540196866.700 * * [misc]simplify: iters left: 5 (28 enodes) 1540196866.704 * * [misc]simplify: iters left: 4 (46 enodes) 1540196866.711 * * [misc]simplify: iters left: 3 (91 enodes) 1540196866.733 * * [misc]simplify: iters left: 2 (156 enodes) 1540196866.768 * * [misc]simplify: iters left: 1 (240 enodes) 1540196866.838 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196866.838 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196866.838 * * * * [misc]progress: [ 1272 / 6870 ] simplifiying candidate # 1540196866.838 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196866.838 * * [misc]simplify: iters left: 6 (19 enodes) 1540196866.842 * * [misc]simplify: iters left: 5 (31 enodes) 1540196866.847 * * [misc]simplify: iters left: 4 (55 enodes) 1540196866.858 * * [misc]simplify: iters left: 3 (128 enodes) 1540196866.891 * * [misc]simplify: iters left: 2 (287 enodes) 1540196867.036 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196867.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196867.036 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196867.037 * * [misc]simplify: iters left: 6 (19 enodes) 1540196867.039 * * [misc]simplify: iters left: 5 (28 enodes) 1540196867.045 * * [misc]simplify: iters left: 4 (46 enodes) 1540196867.052 * * [misc]simplify: iters left: 3 (91 enodes) 1540196867.068 * * [misc]simplify: iters left: 2 (156 enodes) 1540196867.126 * * [misc]simplify: iters left: 1 (240 enodes) 1540196867.212 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196867.212 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196867.212 * * * * [misc]progress: [ 1273 / 6870 ] simplifiying candidate # 1540196867.212 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196867.213 * * [misc]simplify: iters left: 6 (21 enodes) 1540196867.219 * * [misc]simplify: iters left: 5 (34 enodes) 1540196867.224 * * [misc]simplify: iters left: 4 (64 enodes) 1540196867.237 * * [misc]simplify: iters left: 3 (173 enodes) 1540196867.305 * * [misc]simplify: iters left: 2 (484 enodes) 1540196867.699 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196867.700 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196867.700 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196867.700 * * [misc]simplify: iters left: 6 (20 enodes) 1540196867.703 * * [misc]simplify: iters left: 5 (29 enodes) 1540196867.707 * * [misc]simplify: iters left: 4 (47 enodes) 1540196867.714 * * [misc]simplify: iters left: 3 (92 enodes) 1540196867.739 * * [misc]simplify: iters left: 2 (157 enodes) 1540196867.777 * * [misc]simplify: iters left: 1 (237 enodes) 1540196867.854 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196867.854 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196867.854 * * * * [misc]progress: [ 1274 / 6870 ] simplifiying candidate # 1540196867.855 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196867.855 * * [misc]simplify: iters left: 6 (20 enodes) 1540196867.861 * * [misc]simplify: iters left: 5 (31 enodes) 1540196867.870 * * [misc]simplify: iters left: 4 (55 enodes) 1540196867.888 * * [misc]simplify: iters left: 3 (128 enodes) 1540196867.922 * * [misc]simplify: iters left: 2 (288 enodes) 1540196868.041 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196868.041 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196868.041 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196868.041 * * [misc]simplify: iters left: 6 (20 enodes) 1540196868.047 * * [misc]simplify: iters left: 5 (29 enodes) 1540196868.055 * * [misc]simplify: iters left: 4 (47 enodes) 1540196868.062 * * [misc]simplify: iters left: 3 (92 enodes) 1540196868.079 * * [misc]simplify: iters left: 2 (157 enodes) 1540196868.126 * * [misc]simplify: iters left: 1 (237 enodes) 1540196868.189 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196868.189 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196868.189 * * * * [misc]progress: [ 1275 / 6870 ] simplifiying candidate # 1540196868.189 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196868.189 * * [misc]simplify: iters left: 6 (19 enodes) 1540196868.195 * * [misc]simplify: iters left: 5 (32 enodes) 1540196868.205 * * [misc]simplify: iters left: 4 (62 enodes) 1540196868.225 * * [misc]simplify: iters left: 3 (136 enodes) 1540196868.252 * * [misc]simplify: iters left: 2 (240 enodes) 1540196868.337 * * [misc]simplify: iters left: 1 (463 enodes) 1540196868.499 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196868.499 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196868.499 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196868.499 * * [misc]simplify: iters left: 6 (19 enodes) 1540196868.502 * * [misc]simplify: iters left: 5 (28 enodes) 1540196868.505 * * [misc]simplify: iters left: 4 (46 enodes) 1540196868.512 * * [misc]simplify: iters left: 3 (91 enodes) 1540196868.530 * * [misc]simplify: iters left: 2 (156 enodes) 1540196868.562 * * [misc]simplify: iters left: 1 (240 enodes) 1540196868.622 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540196868.622 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))))) 1540196868.623 * * * * [misc]progress: [ 1276 / 6870 ] simplifiying candidate # 1540196868.623 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196868.623 * * [misc]simplify: iters left: 6 (20 enodes) 1540196868.626 * * [misc]simplify: iters left: 5 (34 enodes) 1540196868.632 * * [misc]simplify: iters left: 4 (57 enodes) 1540196868.642 * * [misc]simplify: iters left: 3 (131 enodes) 1540196868.673 * * [misc]simplify: iters left: 2 (372 enodes) 1540196868.893 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196868.893 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196868.893 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196868.893 * * [misc]simplify: iters left: 6 (19 enodes) 1540196868.896 * * [misc]simplify: iters left: 5 (28 enodes) 1540196868.900 * * [misc]simplify: iters left: 4 (47 enodes) 1540196868.907 * * [misc]simplify: iters left: 3 (95 enodes) 1540196868.927 * * [misc]simplify: iters left: 2 (182 enodes) 1540196868.972 * * [misc]simplify: iters left: 1 (319 enodes) 1540196869.108 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196869.108 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196869.108 * * * * [misc]progress: [ 1277 / 6870 ] simplifiying candidate # 1540196869.109 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196869.109 * * [misc]simplify: iters left: 6 (20 enodes) 1540196869.112 * * [misc]simplify: iters left: 5 (34 enodes) 1540196869.117 * * [misc]simplify: iters left: 4 (57 enodes) 1540196869.127 * * [misc]simplify: iters left: 3 (131 enodes) 1540196869.164 * * [misc]simplify: iters left: 2 (372 enodes) 1540196869.392 * [exit]simplify: Simplified to (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196869.392 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196869.392 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196869.392 * * [misc]simplify: iters left: 6 (19 enodes) 1540196869.395 * * [misc]simplify: iters left: 5 (28 enodes) 1540196869.399 * * [misc]simplify: iters left: 4 (47 enodes) 1540196869.406 * * [misc]simplify: iters left: 3 (95 enodes) 1540196869.426 * * [misc]simplify: iters left: 2 (182 enodes) 1540196869.468 * * [misc]simplify: iters left: 1 (319 enodes) 1540196869.637 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196869.637 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt 2) (sqrt PI)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196869.637 * * * * [misc]progress: [ 1278 / 6870 ] simplifiying candidate # 1540196869.637 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196869.638 * * [misc]simplify: iters left: 6 (22 enodes) 1540196869.644 * * [misc]simplify: iters left: 5 (37 enodes) 1540196869.655 * * [misc]simplify: iters left: 4 (66 enodes) 1540196869.669 * * [misc]simplify: iters left: 3 (185 enodes) 1540196869.749 * [exit]simplify: Simplified to (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196869.749 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196869.749 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196869.749 * * [misc]simplify: iters left: 6 (20 enodes) 1540196869.753 * * [misc]simplify: iters left: 5 (29 enodes) 1540196869.757 * * [misc]simplify: iters left: 4 (48 enodes) 1540196869.764 * * [misc]simplify: iters left: 3 (96 enodes) 1540196869.782 * * [misc]simplify: iters left: 2 (183 enodes) 1540196869.837 * * [misc]simplify: iters left: 1 (326 enodes) 1540196870.007 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196870.007 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196870.007 * * * * [misc]progress: [ 1279 / 6870 ] simplifiying candidate # 1540196870.007 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196870.008 * * [misc]simplify: iters left: 6 (21 enodes) 1540196870.011 * * [misc]simplify: iters left: 5 (34 enodes) 1540196870.015 * * [misc]simplify: iters left: 4 (57 enodes) 1540196870.031 * * [misc]simplify: iters left: 3 (131 enodes) 1540196870.063 * * [misc]simplify: iters left: 2 (371 enodes) 1540196870.323 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196870.323 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196870.324 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196870.324 * * [misc]simplify: iters left: 6 (20 enodes) 1540196870.326 * * [misc]simplify: iters left: 5 (29 enodes) 1540196870.330 * * [misc]simplify: iters left: 4 (48 enodes) 1540196870.339 * * [misc]simplify: iters left: 3 (96 enodes) 1540196870.366 * * [misc]simplify: iters left: 2 (183 enodes) 1540196870.421 * * [misc]simplify: iters left: 1 (326 enodes) 1540196870.542 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196870.543 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196870.543 * * * * [misc]progress: [ 1280 / 6870 ] simplifiying candidate # 1540196870.543 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 1)) 1540196870.543 * * [misc]simplify: iters left: 6 (19 enodes) 1540196870.546 * * [misc]simplify: iters left: 5 (30 enodes) 1540196870.550 * * [misc]simplify: iters left: 4 (45 enodes) 1540196870.559 * * [misc]simplify: iters left: 3 (80 enodes) 1540196870.579 * * [misc]simplify: iters left: 2 (144 enodes) 1540196870.605 * * [misc]simplify: iters left: 1 (312 enodes) 1540196870.770 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196870.770 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196870.771 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196870.771 * * [misc]simplify: iters left: 6 (19 enodes) 1540196870.773 * * [misc]simplify: iters left: 5 (28 enodes) 1540196870.777 * * [misc]simplify: iters left: 4 (47 enodes) 1540196870.785 * * [misc]simplify: iters left: 3 (95 enodes) 1540196870.820 * * [misc]simplify: iters left: 2 (182 enodes) 1540196870.901 * * [misc]simplify: iters left: 1 (319 enodes) 1540196871.034 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196871.034 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196871.034 * * * * [misc]progress: [ 1281 / 6870 ] simplifiying candidate # 1540196871.034 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1) 1540196871.035 * * [misc]simplify: iters left: 6 (18 enodes) 1540196871.040 * * [misc]simplify: iters left: 5 (29 enodes) 1540196871.047 * * [misc]simplify: iters left: 4 (48 enodes) 1540196871.063 * * [misc]simplify: iters left: 3 (89 enodes) 1540196871.093 * * [misc]simplify: iters left: 2 (162 enodes) 1540196871.128 * * [misc]simplify: iters left: 1 (329 enodes) 1540196871.307 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196871.307 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196871.307 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196871.308 * * [misc]simplify: iters left: 6 (19 enodes) 1540196871.313 * * [misc]simplify: iters left: 5 (28 enodes) 1540196871.321 * * [misc]simplify: iters left: 4 (47 enodes) 1540196871.336 * * [misc]simplify: iters left: 3 (95 enodes) 1540196871.354 * * [misc]simplify: iters left: 2 (182 enodes) 1540196871.399 * * [misc]simplify: iters left: 1 (319 enodes) 1540196871.546 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196871.547 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196871.547 * * * * [misc]progress: [ 1282 / 6870 ] simplifiying candidate # 1540196871.547 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) 1540196871.547 * * [misc]simplify: iters left: 6 (17 enodes) 1540196871.549 * * [misc]simplify: iters left: 5 (26 enodes) 1540196871.553 * * [misc]simplify: iters left: 4 (43 enodes) 1540196871.559 * * [misc]simplify: iters left: 3 (77 enodes) 1540196871.571 * * [misc]simplify: iters left: 2 (129 enodes) 1540196871.617 * * [misc]simplify: iters left: 1 (202 enodes) 1540196871.675 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt PI))))) 1540196871.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt PI))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196871.675 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196871.675 * * [misc]simplify: iters left: 6 (20 enodes) 1540196871.678 * * [misc]simplify: iters left: 5 (31 enodes) 1540196871.684 * * [misc]simplify: iters left: 4 (48 enodes) 1540196871.692 * * [misc]simplify: iters left: 3 (100 enodes) 1540196871.710 * * [misc]simplify: iters left: 2 (208 enodes) 1540196871.792 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196871.793 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt PI))))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196871.793 * * * * [misc]progress: [ 1283 / 6870 ] simplifiying candidate # 1540196871.793 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196871.793 * * [misc]simplify: iters left: 6 (19 enodes) 1540196871.797 * * [misc]simplify: iters left: 5 (31 enodes) 1540196871.802 * * [misc]simplify: iters left: 4 (56 enodes) 1540196871.815 * * [misc]simplify: iters left: 3 (132 enodes) 1540196871.849 * * [misc]simplify: iters left: 2 (314 enodes) 1540196871.978 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196871.978 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196871.978 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196871.978 * * [misc]simplify: iters left: 6 (18 enodes) 1540196871.981 * * [misc]simplify: iters left: 5 (25 enodes) 1540196871.984 * * [misc]simplify: iters left: 4 (36 enodes) 1540196871.989 * * [misc]simplify: iters left: 3 (51 enodes) 1540196872.000 * * [misc]simplify: iters left: 2 (68 enodes) 1540196872.014 * * [misc]simplify: iters left: 1 (85 enodes) 1540196872.026 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540196872.026 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 2))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (pow 2 (/ k 2)))))) 1540196872.026 * * * * [misc]progress: [ 1284 / 6870 ] simplifiying candidate # 1540196872.026 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196872.026 * * [misc]simplify: iters left: 6 (20 enodes) 1540196872.029 * * [misc]simplify: iters left: 5 (29 enodes) 1540196872.033 * * [misc]simplify: iters left: 4 (50 enodes) 1540196872.043 * * [misc]simplify: iters left: 3 (85 enodes) 1540196872.063 * * [misc]simplify: iters left: 2 (132 enodes) 1540196872.087 * * [misc]simplify: iters left: 1 (199 enodes) 1540196872.137 * [exit]simplify: Simplified to (/ (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196872.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196872.137 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196872.137 * * [misc]simplify: iters left: 6 (20 enodes) 1540196872.140 * * [misc]simplify: iters left: 5 (27 enodes) 1540196872.144 * * [misc]simplify: iters left: 4 (38 enodes) 1540196872.149 * * [misc]simplify: iters left: 3 (53 enodes) 1540196872.157 * * [misc]simplify: iters left: 2 (70 enodes) 1540196872.168 * * [misc]simplify: iters left: 1 (87 enodes) 1540196872.180 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196872.180 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196872.180 * * * * [misc]progress: [ 1285 / 6870 ] simplifiying candidate # 1540196872.181 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196872.181 * * [misc]simplify: iters left: 6 (19 enodes) 1540196872.183 * * [misc]simplify: iters left: 5 (26 enodes) 1540196872.187 * * [misc]simplify: iters left: 4 (39 enodes) 1540196872.194 * * [misc]simplify: iters left: 3 (54 enodes) 1540196872.204 * * [misc]simplify: iters left: 2 (71 enodes) 1540196872.213 * * [misc]simplify: iters left: 1 (88 enodes) 1540196872.225 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196872.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196872.225 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196872.225 * * [misc]simplify: iters left: 6 (20 enodes) 1540196872.229 * * [misc]simplify: iters left: 5 (27 enodes) 1540196872.237 * * [misc]simplify: iters left: 4 (38 enodes) 1540196872.247 * * [misc]simplify: iters left: 3 (53 enodes) 1540196872.257 * * [misc]simplify: iters left: 2 (70 enodes) 1540196872.266 * * [misc]simplify: iters left: 1 (87 enodes) 1540196872.280 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196872.280 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196872.280 * * * * [misc]progress: [ 1286 / 6870 ] simplifiying candidate # 1540196872.280 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196872.280 * * [misc]simplify: iters left: 6 (20 enodes) 1540196872.288 * * [misc]simplify: iters left: 5 (32 enodes) 1540196872.297 * * [misc]simplify: iters left: 4 (63 enodes) 1540196872.308 * * [misc]simplify: iters left: 3 (165 enodes) 1540196872.365 * * [misc]simplify: iters left: 2 (420 enodes) 1540196872.625 * [exit]simplify: Simplified to (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196872.625 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196872.625 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196872.625 * * [misc]simplify: iters left: 6 (20 enodes) 1540196872.628 * * [misc]simplify: iters left: 5 (29 enodes) 1540196872.632 * * [misc]simplify: iters left: 4 (48 enodes) 1540196872.639 * * [misc]simplify: iters left: 3 (96 enodes) 1540196872.663 * * [misc]simplify: iters left: 2 (183 enodes) 1540196872.728 * * [misc]simplify: iters left: 1 (324 enodes) 1540196872.869 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196872.869 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196872.870 * * * * [misc]progress: [ 1287 / 6870 ] simplifiying candidate # 1540196872.870 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196872.870 * * [misc]simplify: iters left: 6 (20 enodes) 1540196872.875 * * [misc]simplify: iters left: 5 (32 enodes) 1540196872.880 * * [misc]simplify: iters left: 4 (63 enodes) 1540196872.892 * * [misc]simplify: iters left: 3 (165 enodes) 1540196872.964 * * [misc]simplify: iters left: 2 (420 enodes) 1540196873.218 * [exit]simplify: Simplified to (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196873.218 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196873.218 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196873.218 * * [misc]simplify: iters left: 6 (20 enodes) 1540196873.221 * * [misc]simplify: iters left: 5 (29 enodes) 1540196873.225 * * [misc]simplify: iters left: 4 (48 enodes) 1540196873.233 * * [misc]simplify: iters left: 3 (96 enodes) 1540196873.268 * * [misc]simplify: iters left: 2 (183 enodes) 1540196873.342 * * [misc]simplify: iters left: 1 (324 enodes) 1540196873.476 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196873.476 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt 2) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196873.476 * * * * [misc]progress: [ 1288 / 6870 ] simplifiying candidate # 1540196873.477 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196873.477 * * [misc]simplify: iters left: 6 (22 enodes) 1540196873.480 * * [misc]simplify: iters left: 5 (37 enodes) 1540196873.486 * * [misc]simplify: iters left: 4 (88 enodes) 1540196873.506 * * [misc]simplify: iters left: 3 (266 enodes) 1540196873.662 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196873.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196873.662 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196873.663 * * [misc]simplify: iters left: 6 (21 enodes) 1540196873.666 * * [misc]simplify: iters left: 5 (30 enodes) 1540196873.670 * * [misc]simplify: iters left: 4 (49 enodes) 1540196873.677 * * [misc]simplify: iters left: 3 (97 enodes) 1540196873.695 * * [misc]simplify: iters left: 2 (184 enodes) 1540196873.737 * * [misc]simplify: iters left: 1 (323 enodes) 1540196873.876 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196873.876 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196873.876 * * * * [misc]progress: [ 1289 / 6870 ] simplifiying candidate # 1540196873.876 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196873.876 * * [misc]simplify: iters left: 6 (21 enodes) 1540196873.880 * * [misc]simplify: iters left: 5 (32 enodes) 1540196873.885 * * [misc]simplify: iters left: 4 (63 enodes) 1540196873.904 * * [misc]simplify: iters left: 3 (165 enodes) 1540196873.974 * * [misc]simplify: iters left: 2 (422 enodes) 1540196874.241 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) 1540196874.241 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196874.241 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196874.242 * * [misc]simplify: iters left: 6 (21 enodes) 1540196874.244 * * [misc]simplify: iters left: 5 (30 enodes) 1540196874.249 * * [misc]simplify: iters left: 4 (49 enodes) 1540196874.256 * * [misc]simplify: iters left: 3 (97 enodes) 1540196874.276 * * [misc]simplify: iters left: 2 (184 enodes) 1540196874.325 * * [misc]simplify: iters left: 1 (323 enodes) 1540196874.453 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196874.453 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196874.454 * * * * [misc]progress: [ 1290 / 6870 ] simplifiying candidate # 1540196874.454 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196874.454 * * [misc]simplify: iters left: 6 (20 enodes) 1540196874.457 * * [misc]simplify: iters left: 5 (33 enodes) 1540196874.462 * * [misc]simplify: iters left: 4 (64 enodes) 1540196874.476 * * [misc]simplify: iters left: 3 (161 enodes) 1540196874.551 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1540196874.551 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196874.551 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196874.551 * * [misc]simplify: iters left: 6 (20 enodes) 1540196874.557 * * [misc]simplify: iters left: 5 (29 enodes) 1540196874.565 * * [misc]simplify: iters left: 4 (48 enodes) 1540196874.581 * * [misc]simplify: iters left: 3 (96 enodes) 1540196874.598 * * [misc]simplify: iters left: 2 (183 enodes) 1540196874.643 * * [misc]simplify: iters left: 1 (324 enodes) 1540196874.782 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196874.782 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196874.782 * * * * [misc]progress: [ 1291 / 6870 ] simplifiying candidate # 1540196874.783 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196874.783 * * [misc]simplify: iters left: 6 (21 enodes) 1540196874.787 * * [misc]simplify: iters left: 5 (32 enodes) 1540196874.793 * * [misc]simplify: iters left: 4 (53 enodes) 1540196874.802 * * [misc]simplify: iters left: 3 (101 enodes) 1540196874.828 * * [misc]simplify: iters left: 2 (188 enodes) 1540196874.871 * * [misc]simplify: iters left: 1 (329 enodes) 1540196875.010 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) 1540196875.010 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196875.010 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196875.012 * * [misc]simplify: iters left: 6 (21 enodes) 1540196875.015 * * [misc]simplify: iters left: 5 (30 enodes) 1540196875.019 * * [misc]simplify: iters left: 4 (49 enodes) 1540196875.029 * * [misc]simplify: iters left: 3 (97 enodes) 1540196875.058 * * [misc]simplify: iters left: 2 (184 enodes) 1540196875.099 * * [misc]simplify: iters left: 1 (323 enodes) 1540196875.233 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196875.233 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196875.233 * * * * [misc]progress: [ 1292 / 6870 ] simplifiying candidate # 1540196875.233 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196875.233 * * [misc]simplify: iters left: 6 (21 enodes) 1540196875.238 * * [misc]simplify: iters left: 5 (32 enodes) 1540196875.243 * * [misc]simplify: iters left: 4 (53 enodes) 1540196875.252 * * [misc]simplify: iters left: 3 (101 enodes) 1540196875.273 * * [misc]simplify: iters left: 2 (188 enodes) 1540196875.327 * * [misc]simplify: iters left: 1 (329 enodes) 1540196875.469 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) 1540196875.469 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196875.469 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196875.469 * * [misc]simplify: iters left: 6 (21 enodes) 1540196875.472 * * [misc]simplify: iters left: 5 (30 enodes) 1540196875.476 * * [misc]simplify: iters left: 4 (49 enodes) 1540196875.483 * * [misc]simplify: iters left: 3 (97 enodes) 1540196875.501 * * [misc]simplify: iters left: 2 (184 enodes) 1540196875.556 * * [misc]simplify: iters left: 1 (323 enodes) 1540196875.691 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540196875.691 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540196875.691 * * * * [misc]progress: [ 1293 / 6870 ] simplifiying candidate # 1540196875.691 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196875.691 * * [misc]simplify: iters left: 6 (23 enodes) 1540196875.694 * * [misc]simplify: iters left: 5 (35 enodes) 1540196875.700 * * [misc]simplify: iters left: 4 (62 enodes) 1540196875.718 * * [misc]simplify: iters left: 3 (141 enodes) 1540196875.758 * * [misc]simplify: iters left: 2 (337 enodes) 1540196875.944 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196875.944 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196875.945 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196875.945 * * [misc]simplify: iters left: 6 (22 enodes) 1540196875.948 * * [misc]simplify: iters left: 5 (31 enodes) 1540196875.952 * * [misc]simplify: iters left: 4 (50 enodes) 1540196875.960 * * [misc]simplify: iters left: 3 (98 enodes) 1540196875.977 * * [misc]simplify: iters left: 2 (185 enodes) 1540196876.032 * * [misc]simplify: iters left: 1 (321 enodes) 1540196876.172 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196876.172 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196876.172 * * * * [misc]progress: [ 1294 / 6870 ] simplifiying candidate # 1540196876.172 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196876.173 * * [misc]simplify: iters left: 6 (22 enodes) 1540196876.179 * * [misc]simplify: iters left: 5 (32 enodes) 1540196876.186 * * [misc]simplify: iters left: 4 (53 enodes) 1540196876.193 * * [misc]simplify: iters left: 3 (101 enodes) 1540196876.212 * * [misc]simplify: iters left: 2 (188 enodes) 1540196876.268 * * [misc]simplify: iters left: 1 (330 enodes) 1540196876.399 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196876.399 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196876.399 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196876.400 * * [misc]simplify: iters left: 6 (22 enodes) 1540196876.402 * * [misc]simplify: iters left: 5 (31 enodes) 1540196876.407 * * [misc]simplify: iters left: 4 (50 enodes) 1540196876.414 * * [misc]simplify: iters left: 3 (98 enodes) 1540196876.445 * * [misc]simplify: iters left: 2 (185 enodes) 1540196876.498 * * [misc]simplify: iters left: 1 (321 enodes) 1540196876.624 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196876.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196876.625 * * * * [misc]progress: [ 1295 / 6870 ] simplifiying candidate # 1540196876.625 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196876.625 * * [misc]simplify: iters left: 6 (21 enodes) 1540196876.631 * * [misc]simplify: iters left: 5 (32 enodes) 1540196876.641 * * [misc]simplify: iters left: 4 (50 enodes) 1540196876.655 * * [misc]simplify: iters left: 3 (84 enodes) 1540196876.686 * * [misc]simplify: iters left: 2 (177 enodes) 1540196876.765 * * [misc]simplify: iters left: 1 (384 enodes) 1540196876.996 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540196876.996 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196876.996 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196876.996 * * [misc]simplify: iters left: 6 (21 enodes) 1540196876.999 * * [misc]simplify: iters left: 5 (30 enodes) 1540196877.004 * * [misc]simplify: iters left: 4 (49 enodes) 1540196877.013 * * [misc]simplify: iters left: 3 (97 enodes) 1540196877.030 * * [misc]simplify: iters left: 2 (184 enodes) 1540196877.071 * * [misc]simplify: iters left: 1 (323 enodes) 1540196877.208 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196877.208 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196877.208 * * * * [misc]progress: [ 1296 / 6870 ] simplifiying candidate # 1540196877.208 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196877.208 * * [misc]simplify: iters left: 6 (18 enodes) 1540196877.212 * * [misc]simplify: iters left: 5 (28 enodes) 1540196877.216 * * [misc]simplify: iters left: 4 (48 enodes) 1540196877.226 * * [misc]simplify: iters left: 3 (93 enodes) 1540196877.249 * * [misc]simplify: iters left: 2 (158 enodes) 1540196877.291 * * [misc]simplify: iters left: 1 (243 enodes) 1540196877.357 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196877.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196877.358 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196877.358 * * [misc]simplify: iters left: 6 (19 enodes) 1540196877.361 * * [misc]simplify: iters left: 5 (28 enodes) 1540196877.365 * * [misc]simplify: iters left: 4 (46 enodes) 1540196877.376 * * [misc]simplify: iters left: 3 (91 enodes) 1540196877.397 * * [misc]simplify: iters left: 2 (156 enodes) 1540196877.441 * * [misc]simplify: iters left: 1 (240 enodes) 1540196877.506 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196877.506 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196877.506 * * * * [misc]progress: [ 1297 / 6870 ] simplifiying candidate # 1540196877.506 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196877.506 * * [misc]simplify: iters left: 6 (18 enodes) 1540196877.509 * * [misc]simplify: iters left: 5 (28 enodes) 1540196877.514 * * [misc]simplify: iters left: 4 (48 enodes) 1540196877.521 * * [misc]simplify: iters left: 3 (93 enodes) 1540196877.550 * * [misc]simplify: iters left: 2 (158 enodes) 1540196877.592 * * [misc]simplify: iters left: 1 (243 enodes) 1540196877.685 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196877.685 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196877.685 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196877.685 * * [misc]simplify: iters left: 6 (19 enodes) 1540196877.688 * * [misc]simplify: iters left: 5 (28 enodes) 1540196877.692 * * [misc]simplify: iters left: 4 (46 enodes) 1540196877.702 * * [misc]simplify: iters left: 3 (91 enodes) 1540196877.727 * * [misc]simplify: iters left: 2 (156 enodes) 1540196877.775 * * [misc]simplify: iters left: 1 (240 enodes) 1540196877.836 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196877.836 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196877.836 * * * * [misc]progress: [ 1298 / 6870 ] simplifiying candidate # 1540196877.836 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196877.837 * * [misc]simplify: iters left: 6 (20 enodes) 1540196877.839 * * [misc]simplify: iters left: 5 (31 enodes) 1540196877.844 * * [misc]simplify: iters left: 4 (57 enodes) 1540196877.853 * * [misc]simplify: iters left: 3 (133 enodes) 1540196877.886 * * [misc]simplify: iters left: 2 (298 enodes) 1540196878.023 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196878.023 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196878.023 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196878.023 * * [misc]simplify: iters left: 6 (20 enodes) 1540196878.026 * * [misc]simplify: iters left: 5 (29 enodes) 1540196878.030 * * [misc]simplify: iters left: 4 (47 enodes) 1540196878.037 * * [misc]simplify: iters left: 3 (92 enodes) 1540196878.054 * * [misc]simplify: iters left: 2 (157 enodes) 1540196878.089 * * [misc]simplify: iters left: 1 (237 enodes) 1540196878.145 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196878.145 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196878.145 * * * * [misc]progress: [ 1299 / 6870 ] simplifiying candidate # 1540196878.146 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196878.146 * * [misc]simplify: iters left: 6 (19 enodes) 1540196878.148 * * [misc]simplify: iters left: 5 (28 enodes) 1540196878.152 * * [misc]simplify: iters left: 4 (48 enodes) 1540196878.159 * * [misc]simplify: iters left: 3 (93 enodes) 1540196878.175 * * [misc]simplify: iters left: 2 (158 enodes) 1540196878.214 * * [misc]simplify: iters left: 1 (238 enodes) 1540196878.279 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196878.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196878.279 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196878.279 * * [misc]simplify: iters left: 6 (20 enodes) 1540196878.282 * * [misc]simplify: iters left: 5 (29 enodes) 1540196878.286 * * [misc]simplify: iters left: 4 (47 enodes) 1540196878.293 * * [misc]simplify: iters left: 3 (92 enodes) 1540196878.309 * * [misc]simplify: iters left: 2 (157 enodes) 1540196878.349 * * [misc]simplify: iters left: 1 (237 enodes) 1540196878.437 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196878.437 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196878.438 * * * * [misc]progress: [ 1300 / 6870 ] simplifiying candidate # 1540196878.438 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196878.438 * * [misc]simplify: iters left: 6 (18 enodes) 1540196878.440 * * [misc]simplify: iters left: 5 (29 enodes) 1540196878.445 * * [misc]simplify: iters left: 4 (53 enodes) 1540196878.458 * * [misc]simplify: iters left: 3 (93 enodes) 1540196878.481 * * [misc]simplify: iters left: 2 (132 enodes) 1540196878.511 * * [misc]simplify: iters left: 1 (205 enodes) 1540196878.581 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540196878.581 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196878.581 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196878.581 * * [misc]simplify: iters left: 6 (19 enodes) 1540196878.584 * * [misc]simplify: iters left: 5 (28 enodes) 1540196878.588 * * [misc]simplify: iters left: 4 (46 enodes) 1540196878.596 * * [misc]simplify: iters left: 3 (91 enodes) 1540196878.615 * * [misc]simplify: iters left: 2 (156 enodes) 1540196878.648 * * [misc]simplify: iters left: 1 (240 enodes) 1540196878.717 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540196878.718 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))))) 1540196878.718 * * * * [misc]progress: [ 1301 / 6870 ] simplifiying candidate # 1540196878.718 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196878.718 * * [misc]simplify: iters left: 6 (20 enodes) 1540196878.722 * * [misc]simplify: iters left: 5 (32 enodes) 1540196878.727 * * [misc]simplify: iters left: 4 (55 enodes) 1540196878.737 * * [misc]simplify: iters left: 3 (122 enodes) 1540196878.773 * * [misc]simplify: iters left: 2 (285 enodes) 1540196878.879 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) 1540196878.879 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196878.879 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196878.879 * * [misc]simplify: iters left: 6 (19 enodes) 1540196878.882 * * [misc]simplify: iters left: 5 (28 enodes) 1540196878.886 * * [misc]simplify: iters left: 4 (47 enodes) 1540196878.893 * * [misc]simplify: iters left: 3 (95 enodes) 1540196878.915 * * [misc]simplify: iters left: 2 (182 enodes) 1540196878.994 * * [misc]simplify: iters left: 1 (319 enodes) 1540196879.130 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196879.130 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196879.130 * * * * [misc]progress: [ 1302 / 6870 ] simplifiying candidate # 1540196879.130 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196879.130 * * [misc]simplify: iters left: 6 (20 enodes) 1540196879.134 * * [misc]simplify: iters left: 5 (32 enodes) 1540196879.141 * * [misc]simplify: iters left: 4 (55 enodes) 1540196879.152 * * [misc]simplify: iters left: 3 (122 enodes) 1540196879.191 * * [misc]simplify: iters left: 2 (285 enodes) 1540196879.288 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) 1540196879.288 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196879.288 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196879.288 * * [misc]simplify: iters left: 6 (19 enodes) 1540196879.292 * * [misc]simplify: iters left: 5 (28 enodes) 1540196879.296 * * [misc]simplify: iters left: 4 (47 enodes) 1540196879.303 * * [misc]simplify: iters left: 3 (95 enodes) 1540196879.320 * * [misc]simplify: iters left: 2 (182 enodes) 1540196879.362 * * [misc]simplify: iters left: 1 (319 enodes) 1540196879.467 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196879.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196879.467 * * * * [misc]progress: [ 1303 / 6870 ] simplifiying candidate # 1540196879.468 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196879.468 * * [misc]simplify: iters left: 6 (22 enodes) 1540196879.473 * * [misc]simplify: iters left: 5 (35 enodes) 1540196879.477 * * [misc]simplify: iters left: 4 (65 enodes) 1540196879.489 * * [misc]simplify: iters left: 3 (170 enodes) 1540196879.529 * * [misc]simplify: iters left: 2 (454 enodes) 1540196879.748 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) 1540196879.748 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196879.749 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196879.749 * * [misc]simplify: iters left: 6 (20 enodes) 1540196879.751 * * [misc]simplify: iters left: 5 (29 enodes) 1540196879.757 * * [misc]simplify: iters left: 4 (48 enodes) 1540196879.769 * * [misc]simplify: iters left: 3 (96 enodes) 1540196879.797 * * [misc]simplify: iters left: 2 (183 enodes) 1540196879.837 * * [misc]simplify: iters left: 1 (326 enodes) 1540196879.974 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196879.974 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196879.974 * * * * [misc]progress: [ 1304 / 6870 ] simplifiying candidate # 1540196879.974 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196879.974 * * [misc]simplify: iters left: 6 (21 enodes) 1540196879.978 * * [misc]simplify: iters left: 5 (32 enodes) 1540196879.982 * * [misc]simplify: iters left: 4 (55 enodes) 1540196879.993 * * [misc]simplify: iters left: 3 (122 enodes) 1540196880.033 * * [misc]simplify: iters left: 2 (279 enodes) 1540196880.133 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196880.133 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196880.133 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196880.133 * * [misc]simplify: iters left: 6 (20 enodes) 1540196880.136 * * [misc]simplify: iters left: 5 (29 enodes) 1540196880.144 * * [misc]simplify: iters left: 4 (48 enodes) 1540196880.158 * * [misc]simplify: iters left: 3 (96 enodes) 1540196880.177 * * [misc]simplify: iters left: 2 (183 enodes) 1540196880.226 * * [misc]simplify: iters left: 1 (326 enodes) 1540196880.366 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196880.366 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196880.366 * * * * [misc]progress: [ 1305 / 6870 ] simplifiying candidate # 1540196880.366 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540196880.366 * * [misc]simplify: iters left: 6 (19 enodes) 1540196880.372 * * [misc]simplify: iters left: 5 (30 enodes) 1540196880.380 * * [misc]simplify: iters left: 4 (41 enodes) 1540196880.390 * * [misc]simplify: iters left: 3 (63 enodes) 1540196880.398 * * [misc]simplify: iters left: 2 (100 enodes) 1540196880.431 * * [misc]simplify: iters left: 1 (210 enodes) 1540196880.540 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196880.540 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196880.540 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196880.541 * * [misc]simplify: iters left: 6 (19 enodes) 1540196880.543 * * [misc]simplify: iters left: 5 (28 enodes) 1540196880.551 * * [misc]simplify: iters left: 4 (47 enodes) 1540196880.562 * * [misc]simplify: iters left: 3 (95 enodes) 1540196880.581 * * [misc]simplify: iters left: 2 (182 enodes) 1540196880.627 * * [misc]simplify: iters left: 1 (319 enodes) 1540196880.762 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196880.763 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196880.763 * * * * [misc]progress: [ 1306 / 6870 ] simplifiying candidate # 1540196880.763 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196880.763 * * [misc]simplify: iters left: 6 (18 enodes) 1540196880.766 * * [misc]simplify: iters left: 5 (28 enodes) 1540196880.771 * * [misc]simplify: iters left: 4 (48 enodes) 1540196880.782 * * [misc]simplify: iters left: 3 (93 enodes) 1540196880.808 * * [misc]simplify: iters left: 2 (158 enodes) 1540196880.841 * * [misc]simplify: iters left: 1 (243 enodes) 1540196880.930 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196880.930 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196880.931 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196880.931 * * [misc]simplify: iters left: 6 (19 enodes) 1540196880.934 * * [misc]simplify: iters left: 5 (28 enodes) 1540196880.938 * * [misc]simplify: iters left: 4 (46 enodes) 1540196880.945 * * [misc]simplify: iters left: 3 (91 enodes) 1540196880.966 * * [misc]simplify: iters left: 2 (156 enodes) 1540196880.999 * * [misc]simplify: iters left: 1 (240 enodes) 1540196881.085 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196881.085 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196881.086 * * * * [misc]progress: [ 1307 / 6870 ] simplifiying candidate # 1540196881.086 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196881.086 * * [misc]simplify: iters left: 6 (18 enodes) 1540196881.089 * * [misc]simplify: iters left: 5 (28 enodes) 1540196881.094 * * [misc]simplify: iters left: 4 (48 enodes) 1540196881.101 * * [misc]simplify: iters left: 3 (93 enodes) 1540196881.120 * * [misc]simplify: iters left: 2 (158 enodes) 1540196881.181 * * [misc]simplify: iters left: 1 (243 enodes) 1540196881.246 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196881.246 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196881.246 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196881.247 * * [misc]simplify: iters left: 6 (19 enodes) 1540196881.252 * * [misc]simplify: iters left: 5 (28 enodes) 1540196881.260 * * [misc]simplify: iters left: 4 (46 enodes) 1540196881.274 * * [misc]simplify: iters left: 3 (91 enodes) 1540196881.297 * * [misc]simplify: iters left: 2 (156 enodes) 1540196881.345 * * [misc]simplify: iters left: 1 (240 enodes) 1540196881.413 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))) 1540196881.414 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (pow PI (/ (- k) 2))))) 1540196881.414 * * * * [misc]progress: [ 1308 / 6870 ] simplifiying candidate # 1540196881.414 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196881.414 * * [misc]simplify: iters left: 6 (20 enodes) 1540196881.420 * * [misc]simplify: iters left: 5 (31 enodes) 1540196881.429 * * [misc]simplify: iters left: 4 (57 enodes) 1540196881.449 * * [misc]simplify: iters left: 3 (133 enodes) 1540196881.512 * * [misc]simplify: iters left: 2 (298 enodes) 1540196881.661 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196881.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196881.661 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196881.661 * * [misc]simplify: iters left: 6 (20 enodes) 1540196881.664 * * [misc]simplify: iters left: 5 (29 enodes) 1540196881.668 * * [misc]simplify: iters left: 4 (47 enodes) 1540196881.675 * * [misc]simplify: iters left: 3 (92 enodes) 1540196881.691 * * [misc]simplify: iters left: 2 (157 enodes) 1540196881.733 * * [misc]simplify: iters left: 1 (237 enodes) 1540196881.804 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196881.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196881.804 * * * * [misc]progress: [ 1309 / 6870 ] simplifiying candidate # 1540196881.805 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196881.805 * * [misc]simplify: iters left: 6 (19 enodes) 1540196881.810 * * [misc]simplify: iters left: 5 (28 enodes) 1540196881.816 * * [misc]simplify: iters left: 4 (48 enodes) 1540196881.824 * * [misc]simplify: iters left: 3 (93 enodes) 1540196881.840 * * [misc]simplify: iters left: 2 (158 enodes) 1540196881.890 * * [misc]simplify: iters left: 1 (238 enodes) 1540196881.954 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196881.954 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196881.955 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196881.955 * * [misc]simplify: iters left: 6 (20 enodes) 1540196881.957 * * [misc]simplify: iters left: 5 (29 enodes) 1540196881.961 * * [misc]simplify: iters left: 4 (47 enodes) 1540196881.969 * * [misc]simplify: iters left: 3 (92 enodes) 1540196881.989 * * [misc]simplify: iters left: 2 (157 enodes) 1540196882.035 * * [misc]simplify: iters left: 1 (237 enodes) 1540196882.120 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196882.120 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196882.120 * * * * [misc]progress: [ 1310 / 6870 ] simplifiying candidate # 1540196882.120 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196882.120 * * [misc]simplify: iters left: 6 (18 enodes) 1540196882.123 * * [misc]simplify: iters left: 5 (29 enodes) 1540196882.128 * * [misc]simplify: iters left: 4 (53 enodes) 1540196882.141 * * [misc]simplify: iters left: 3 (93 enodes) 1540196882.170 * * [misc]simplify: iters left: 2 (132 enodes) 1540196882.211 * * [misc]simplify: iters left: 1 (205 enodes) 1540196882.267 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540196882.267 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196882.267 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196882.267 * * [misc]simplify: iters left: 6 (19 enodes) 1540196882.270 * * [misc]simplify: iters left: 5 (28 enodes) 1540196882.274 * * [misc]simplify: iters left: 4 (46 enodes) 1540196882.281 * * [misc]simplify: iters left: 3 (91 enodes) 1540196882.297 * * [misc]simplify: iters left: 2 (156 enodes) 1540196882.361 * * [misc]simplify: iters left: 1 (240 enodes) 1540196882.456 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))) 1540196882.456 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (pow PI (/ (- k) 2))))) 1540196882.456 * * * * [misc]progress: [ 1311 / 6870 ] simplifiying candidate # 1540196882.456 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196882.456 * * [misc]simplify: iters left: 6 (19 enodes) 1540196882.460 * * [misc]simplify: iters left: 5 (31 enodes) 1540196882.464 * * [misc]simplify: iters left: 4 (50 enodes) 1540196882.472 * * [misc]simplify: iters left: 3 (102 enodes) 1540196882.493 * * [misc]simplify: iters left: 2 (206 enodes) 1540196882.568 * * [misc]simplify: iters left: 1 (471 enodes) 1540196883.017 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) 1540196883.017 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196883.017 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196883.018 * * [misc]simplify: iters left: 6 (19 enodes) 1540196883.023 * * [misc]simplify: iters left: 5 (28 enodes) 1540196883.027 * * [misc]simplify: iters left: 4 (47 enodes) 1540196883.034 * * [misc]simplify: iters left: 3 (95 enodes) 1540196883.053 * * [misc]simplify: iters left: 2 (182 enodes) 1540196883.101 * * [misc]simplify: iters left: 1 (319 enodes) 1540196883.229 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196883.229 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196883.229 * * * * [misc]progress: [ 1312 / 6870 ] simplifiying candidate # 1540196883.230 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196883.230 * * [misc]simplify: iters left: 6 (19 enodes) 1540196883.233 * * [misc]simplify: iters left: 5 (31 enodes) 1540196883.238 * * [misc]simplify: iters left: 4 (50 enodes) 1540196883.247 * * [misc]simplify: iters left: 3 (102 enodes) 1540196883.274 * * [misc]simplify: iters left: 2 (206 enodes) 1540196883.340 * * [misc]simplify: iters left: 1 (471 enodes) 1540196883.884 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) 1540196883.884 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196883.884 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196883.885 * * [misc]simplify: iters left: 6 (19 enodes) 1540196883.887 * * [misc]simplify: iters left: 5 (28 enodes) 1540196883.892 * * [misc]simplify: iters left: 4 (47 enodes) 1540196883.906 * * [misc]simplify: iters left: 3 (95 enodes) 1540196883.938 * * [misc]simplify: iters left: 2 (182 enodes) 1540196883.979 * * [misc]simplify: iters left: 1 (319 enodes) 1540196884.121 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540196884.121 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt 2)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540196884.121 * * * * [misc]progress: [ 1313 / 6870 ] simplifiying candidate # 1540196884.122 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196884.122 * * [misc]simplify: iters left: 6 (21 enodes) 1540196884.125 * * [misc]simplify: iters left: 5 (34 enodes) 1540196884.130 * * [misc]simplify: iters left: 4 (59 enodes) 1540196884.141 * * [misc]simplify: iters left: 3 (153 enodes) 1540196884.184 * * [misc]simplify: iters left: 2 (399 enodes) 1540196884.439 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196884.439 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196884.440 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196884.440 * * [misc]simplify: iters left: 6 (20 enodes) 1540196884.446 * * [misc]simplify: iters left: 5 (29 enodes) 1540196884.454 * * [misc]simplify: iters left: 4 (48 enodes) 1540196884.468 * * [misc]simplify: iters left: 3 (96 enodes) 1540196884.488 * * [misc]simplify: iters left: 2 (183 enodes) 1540196884.559 * * [misc]simplify: iters left: 1 (326 enodes) 1540196884.746 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196884.746 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (sqrt (sqrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196884.746 * * * * [misc]progress: [ 1314 / 6870 ] simplifiying candidate # 1540196884.746 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196884.746 * * [misc]simplify: iters left: 6 (20 enodes) 1540196884.752 * * [misc]simplify: iters left: 5 (31 enodes) 1540196884.761 * * [misc]simplify: iters left: 4 (50 enodes) 1540196884.776 * * [misc]simplify: iters left: 3 (102 enodes) 1540196884.806 * * [misc]simplify: iters left: 2 (206 enodes) 1540196884.864 * * [misc]simplify: iters left: 1 (486 enodes) 1540196885.433 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196885.434 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196885.434 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196885.434 * * [misc]simplify: iters left: 6 (20 enodes) 1540196885.440 * * [misc]simplify: iters left: 5 (29 enodes) 1540196885.448 * * [misc]simplify: iters left: 4 (48 enodes) 1540196885.463 * * [misc]simplify: iters left: 3 (96 enodes) 1540196885.501 * * [misc]simplify: iters left: 2 (183 enodes) 1540196885.562 * * [misc]simplify: iters left: 1 (326 enodes) 1540196885.698 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196885.698 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196885.698 * * * * [misc]progress: [ 1315 / 6870 ] simplifiying candidate # 1540196885.698 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540196885.698 * * [misc]simplify: iters left: 6 (18 enodes) 1540196885.701 * * [misc]simplify: iters left: 5 (27 enodes) 1540196885.704 * * [misc]simplify: iters left: 4 (38 enodes) 1540196885.710 * * [misc]simplify: iters left: 3 (53 enodes) 1540196885.716 * * [misc]simplify: iters left: 2 (76 enodes) 1540196885.732 * * [misc]simplify: iters left: 1 (105 enodes) 1540196885.763 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196885.763 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196885.763 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196885.764 * * [misc]simplify: iters left: 6 (19 enodes) 1540196885.769 * * [misc]simplify: iters left: 5 (28 enodes) 1540196885.777 * * [misc]simplify: iters left: 4 (47 enodes) 1540196885.792 * * [misc]simplify: iters left: 3 (95 enodes) 1540196885.826 * * [misc]simplify: iters left: 2 (182 enodes) 1540196885.876 * * [misc]simplify: iters left: 1 (319 enodes) 1540196886.000 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196886.000 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196886.000 * * * * [misc]progress: [ 1316 / 6870 ] simplifiying candidate # 1540196886.000 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540196886.000 * * [misc]simplify: iters left: 6 (17 enodes) 1540196886.003 * * [misc]simplify: iters left: 5 (26 enodes) 1540196886.006 * * [misc]simplify: iters left: 4 (39 enodes) 1540196886.012 * * [misc]simplify: iters left: 3 (58 enodes) 1540196886.019 * * [misc]simplify: iters left: 2 (84 enodes) 1540196886.041 * * [misc]simplify: iters left: 1 (109 enodes) 1540196886.060 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196886.060 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196886.060 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196886.060 * * [misc]simplify: iters left: 6 (19 enodes) 1540196886.063 * * [misc]simplify: iters left: 5 (28 enodes) 1540196886.444 * * [misc]simplify: iters left: 4 (47 enodes) 1540196886.453 * * [misc]simplify: iters left: 3 (95 enodes) 1540196886.470 * * [misc]simplify: iters left: 2 (182 enodes) 1540196886.522 * * [misc]simplify: iters left: 1 (319 enodes) 1540196886.643 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540196886.643 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540196886.643 * * * * [misc]progress: [ 1317 / 6870 ] simplifiying candidate # 1540196886.643 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540196886.644 * * [misc]simplify: iters left: 6 (16 enodes) 1540196886.648 * * [misc]simplify: iters left: 5 (23 enodes) 1540196886.655 * * [misc]simplify: iters left: 4 (36 enodes) 1540196886.665 * * [misc]simplify: iters left: 3 (51 enodes) 1540196886.671 * * [misc]simplify: iters left: 2 (68 enodes) 1540196886.680 * * [misc]simplify: iters left: 1 (85 enodes) 1540196886.692 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196886.692 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196886.692 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196886.692 * * [misc]simplify: iters left: 6 (20 enodes) 1540196886.695 * * [misc]simplify: iters left: 5 (31 enodes) 1540196886.700 * * [misc]simplify: iters left: 4 (48 enodes) 1540196886.707 * * [misc]simplify: iters left: 3 (100 enodes) 1540196886.737 * * [misc]simplify: iters left: 2 (208 enodes) 1540196886.846 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196886.846 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196886.846 * * * * [misc]progress: [ 1318 / 6870 ] simplifiying candidate # 1540196886.846 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196886.847 * * [misc]simplify: iters left: 6 (18 enodes) 1540196886.854 * * [misc]simplify: iters left: 5 (28 enodes) 1540196886.859 * * [misc]simplify: iters left: 4 (49 enodes) 1540196886.867 * * [misc]simplify: iters left: 3 (97 enodes) 1540196886.886 * * [misc]simplify: iters left: 2 (184 enodes) 1540196886.950 * * [misc]simplify: iters left: 1 (321 enodes) 1540196887.068 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196887.068 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196887.068 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196887.068 * * [misc]simplify: iters left: 6 (18 enodes) 1540196887.071 * * [misc]simplify: iters left: 5 (25 enodes) 1540196887.074 * * [misc]simplify: iters left: 4 (36 enodes) 1540196887.084 * * [misc]simplify: iters left: 3 (51 enodes) 1540196887.093 * * [misc]simplify: iters left: 2 (68 enodes) 1540196887.102 * * [misc]simplify: iters left: 1 (85 enodes) 1540196887.114 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540196887.114 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (sqrt (sqrt (sqrt k))) (pow 2 (/ k 2)))))) 1540196887.114 * * * * [misc]progress: [ 1319 / 6870 ] simplifiying candidate # 1540196887.115 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196887.115 * * [misc]simplify: iters left: 6 (18 enodes) 1540196887.120 * * [misc]simplify: iters left: 5 (29 enodes) 1540196887.129 * * [misc]simplify: iters left: 4 (54 enodes) 1540196887.140 * * [misc]simplify: iters left: 3 (113 enodes) 1540196887.184 * * [misc]simplify: iters left: 2 (314 enodes) 1540196887.447 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196887.447 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196887.447 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196887.447 * * [misc]simplify: iters left: 6 (19 enodes) 1540196887.449 * * [misc]simplify: iters left: 5 (26 enodes) 1540196887.453 * * [misc]simplify: iters left: 4 (37 enodes) 1540196887.458 * * [misc]simplify: iters left: 3 (52 enodes) 1540196887.464 * * [misc]simplify: iters left: 2 (69 enodes) 1540196887.474 * * [misc]simplify: iters left: 1 (86 enodes) 1540196887.488 * [exit]simplify: Simplified to (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196887.489 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196887.489 * * * * [misc]progress: [ 1320 / 6870 ] simplifiying candidate # 1540196887.489 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196887.489 * * [misc]simplify: iters left: 6 (17 enodes) 1540196887.494 * * [misc]simplify: iters left: 5 (26 enodes) 1540196887.501 * * [misc]simplify: iters left: 4 (43 enodes) 1540196887.506 * * [misc]simplify: iters left: 3 (64 enodes) 1540196887.518 * * [misc]simplify: iters left: 2 (127 enodes) 1540196887.564 * * [misc]simplify: iters left: 1 (212 enodes) 1540196887.595 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196887.595 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196887.595 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196887.595 * * [misc]simplify: iters left: 6 (19 enodes) 1540196887.598 * * [misc]simplify: iters left: 5 (26 enodes) 1540196887.601 * * [misc]simplify: iters left: 4 (37 enodes) 1540196887.606 * * [misc]simplify: iters left: 3 (52 enodes) 1540196887.620 * * [misc]simplify: iters left: 2 (69 enodes) 1540196887.639 * * [misc]simplify: iters left: 1 (86 enodes) 1540196887.653 * [exit]simplify: Simplified to (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196887.653 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196887.653 * * * * [misc]progress: [ 1321 / 6870 ] simplifiying candidate # 1540196887.653 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196887.653 * * [misc]simplify: iters left: 6 (16 enodes) 1540196887.656 * * [misc]simplify: iters left: 5 (28 enodes) 1540196887.661 * * [misc]simplify: iters left: 4 (59 enodes) 1540196887.672 * * [misc]simplify: iters left: 3 (142 enodes) 1540196887.722 * * [misc]simplify: iters left: 2 (403 enodes) 1540196887.921 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196887.921 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196887.921 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196887.922 * * [misc]simplify: iters left: 6 (19 enodes) 1540196887.927 * * [misc]simplify: iters left: 5 (28 enodes) 1540196887.938 * * [misc]simplify: iters left: 4 (47 enodes) 1540196887.952 * * [misc]simplify: iters left: 3 (95 enodes) 1540196887.978 * * [misc]simplify: iters left: 2 (182 enodes) 1540196888.042 * * [misc]simplify: iters left: 1 (317 enodes) 1540196888.167 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196888.167 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196888.167 * * * * [misc]progress: [ 1322 / 6870 ] simplifiying candidate # 1540196888.168 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196888.168 * * [misc]simplify: iters left: 6 (16 enodes) 1540196888.171 * * [misc]simplify: iters left: 5 (28 enodes) 1540196888.176 * * [misc]simplify: iters left: 4 (59 enodes) 1540196888.189 * * [misc]simplify: iters left: 3 (142 enodes) 1540196888.234 * * [misc]simplify: iters left: 2 (403 enodes) 1540196888.489 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196888.489 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196888.489 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196888.489 * * [misc]simplify: iters left: 6 (19 enodes) 1540196888.495 * * [misc]simplify: iters left: 5 (28 enodes) 1540196888.504 * * [misc]simplify: iters left: 4 (47 enodes) 1540196888.518 * * [misc]simplify: iters left: 3 (95 enodes) 1540196888.545 * * [misc]simplify: iters left: 2 (182 enodes) 1540196888.593 * * [misc]simplify: iters left: 1 (317 enodes) 1540196888.718 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196888.718 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196888.718 * * * * [misc]progress: [ 1323 / 6870 ] simplifiying candidate # 1540196888.718 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196888.719 * * [misc]simplify: iters left: 6 (20 enodes) 1540196888.722 * * [misc]simplify: iters left: 5 (37 enodes) 1540196888.729 * * [misc]simplify: iters left: 4 (90 enodes) 1540196888.750 * * [misc]simplify: iters left: 3 (242 enodes) 1540196888.871 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196888.871 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196888.871 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196888.871 * * [misc]simplify: iters left: 6 (20 enodes) 1540196888.874 * * [misc]simplify: iters left: 5 (29 enodes) 1540196888.878 * * [misc]simplify: iters left: 4 (48 enodes) 1540196888.885 * * [misc]simplify: iters left: 3 (96 enodes) 1540196888.906 * * [misc]simplify: iters left: 2 (183 enodes) 1540196888.962 * * [misc]simplify: iters left: 1 (321 enodes) 1540196889.088 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196889.088 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196889.088 * * * * [misc]progress: [ 1324 / 6870 ] simplifiying candidate # 1540196889.089 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196889.089 * * [misc]simplify: iters left: 6 (19 enodes) 1540196889.091 * * [misc]simplify: iters left: 5 (32 enodes) 1540196889.096 * * [misc]simplify: iters left: 4 (66 enodes) 1540196889.107 * * [misc]simplify: iters left: 3 (151 enodes) 1540196889.155 * * [misc]simplify: iters left: 2 (410 enodes) 1540196889.385 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196889.385 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196889.387 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196889.387 * * [misc]simplify: iters left: 6 (20 enodes) 1540196889.390 * * [misc]simplify: iters left: 5 (29 enodes) 1540196889.394 * * [misc]simplify: iters left: 4 (48 enodes) 1540196889.402 * * [misc]simplify: iters left: 3 (96 enodes) 1540196889.431 * * [misc]simplify: iters left: 2 (183 enodes) 1540196889.485 * * [misc]simplify: iters left: 1 (321 enodes) 1540196889.622 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196889.622 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196889.622 * * * * [misc]progress: [ 1325 / 6870 ] simplifiying candidate # 1540196889.623 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196889.623 * * [misc]simplify: iters left: 6 (14 enodes) 1540196889.625 * * [misc]simplify: iters left: 5 (25 enodes) 1540196889.631 * * [misc]simplify: iters left: 4 (51 enodes) 1540196889.638 * * [misc]simplify: iters left: 3 (85 enodes) 1540196889.662 * * [misc]simplify: iters left: 2 (186 enodes) 1540196889.734 * * [misc]simplify: iters left: 1 (333 enodes) 1540196889.849 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196889.849 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196889.849 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196889.849 * * [misc]simplify: iters left: 6 (19 enodes) 1540196889.855 * * [misc]simplify: iters left: 5 (28 enodes) 1540196889.863 * * [misc]simplify: iters left: 4 (47 enodes) 1540196889.878 * * [misc]simplify: iters left: 3 (95 enodes) 1540196889.906 * * [misc]simplify: iters left: 2 (182 enodes) 1540196889.946 * * [misc]simplify: iters left: 1 (317 enodes) 1540196890.068 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196890.068 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196890.068 * * * * [misc]progress: [ 1326 / 6870 ] simplifiying candidate # 1540196890.068 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196890.069 * * [misc]simplify: iters left: 6 (17 enodes) 1540196890.072 * * [misc]simplify: iters left: 5 (28 enodes) 1540196890.077 * * [misc]simplify: iters left: 4 (50 enodes) 1540196890.084 * * [misc]simplify: iters left: 3 (86 enodes) 1540196890.111 * * [misc]simplify: iters left: 2 (152 enodes) 1540196890.163 * * [misc]simplify: iters left: 1 (268 enodes) 1540196890.286 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1540196890.286 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196890.286 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196890.286 * * [misc]simplify: iters left: 6 (20 enodes) 1540196890.289 * * [misc]simplify: iters left: 5 (29 enodes) 1540196890.293 * * [misc]simplify: iters left: 4 (48 enodes) 1540196890.300 * * [misc]simplify: iters left: 3 (96 enodes) 1540196890.318 * * [misc]simplify: iters left: 2 (183 enodes) 1540196890.372 * * [misc]simplify: iters left: 1 (323 enodes) 1540196890.521 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196890.521 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196890.521 * * * * [misc]progress: [ 1327 / 6870 ] simplifiying candidate # 1540196890.521 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196890.521 * * [misc]simplify: iters left: 6 (17 enodes) 1540196890.525 * * [misc]simplify: iters left: 5 (28 enodes) 1540196890.530 * * [misc]simplify: iters left: 4 (50 enodes) 1540196890.539 * * [misc]simplify: iters left: 3 (86 enodes) 1540196890.570 * * [misc]simplify: iters left: 2 (152 enodes) 1540196890.617 * * [misc]simplify: iters left: 1 (268 enodes) 1540196890.734 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1540196890.734 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196890.735 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196890.735 * * [misc]simplify: iters left: 6 (20 enodes) 1540196890.737 * * [misc]simplify: iters left: 5 (29 enodes) 1540196890.743 * * [misc]simplify: iters left: 4 (48 enodes) 1540196890.750 * * [misc]simplify: iters left: 3 (96 enodes) 1540196890.767 * * [misc]simplify: iters left: 2 (183 enodes) 1540196890.821 * * [misc]simplify: iters left: 1 (323 enodes) 1540196890.950 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196890.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196890.950 * * * * [misc]progress: [ 1328 / 6870 ] simplifiying candidate # 1540196890.950 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196890.950 * * [misc]simplify: iters left: 6 (21 enodes) 1540196890.953 * * [misc]simplify: iters left: 5 (35 enodes) 1540196890.960 * * [misc]simplify: iters left: 4 (66 enodes) 1540196890.972 * * [misc]simplify: iters left: 3 (118 enodes) 1540196890.995 * * [misc]simplify: iters left: 2 (332 enodes) 1540196891.188 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540196891.188 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196891.189 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196891.189 * * [misc]simplify: iters left: 6 (21 enodes) 1540196891.193 * * [misc]simplify: iters left: 5 (30 enodes) 1540196891.197 * * [misc]simplify: iters left: 4 (49 enodes) 1540196891.204 * * [misc]simplify: iters left: 3 (97 enodes) 1540196891.224 * * [misc]simplify: iters left: 2 (184 enodes) 1540196891.278 * * [misc]simplify: iters left: 1 (321 enodes) 1540196891.413 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))) 1540196891.413 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1540196891.413 * * * * [misc]progress: [ 1329 / 6870 ] simplifiying candidate # 1540196891.413 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196891.413 * * [misc]simplify: iters left: 6 (20 enodes) 1540196891.417 * * [misc]simplify: iters left: 5 (32 enodes) 1540196891.422 * * [misc]simplify: iters left: 4 (57 enodes) 1540196891.430 * * [misc]simplify: iters left: 3 (93 enodes) 1540196891.456 * * [misc]simplify: iters left: 2 (185 enodes) 1540196891.539 * * [misc]simplify: iters left: 1 (354 enodes) 1540196891.742 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196891.742 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196891.742 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196891.743 * * [misc]simplify: iters left: 6 (21 enodes) 1540196891.749 * * [misc]simplify: iters left: 5 (30 enodes) 1540196891.753 * * [misc]simplify: iters left: 4 (49 enodes) 1540196891.761 * * [misc]simplify: iters left: 3 (97 enodes) 1540196891.779 * * [misc]simplify: iters left: 2 (184 enodes) 1540196891.831 * * [misc]simplify: iters left: 1 (321 enodes) 1540196891.959 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))) 1540196891.959 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))))))) 1540196891.959 * * * * [misc]progress: [ 1330 / 6870 ] simplifiying candidate # 1540196891.959 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196891.959 * * [misc]simplify: iters left: 6 (15 enodes) 1540196891.962 * * [misc]simplify: iters left: 5 (24 enodes) 1540196891.967 * * [misc]simplify: iters left: 4 (41 enodes) 1540196891.980 * * [misc]simplify: iters left: 3 (56 enodes) 1540196891.990 * * [misc]simplify: iters left: 2 (74 enodes) 1540196892.001 * * [misc]simplify: iters left: 1 (89 enodes) 1540196892.022 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) 1540196892.022 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196892.023 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196892.023 * * [misc]simplify: iters left: 6 (20 enodes) 1540196892.026 * * [misc]simplify: iters left: 5 (29 enodes) 1540196892.030 * * [misc]simplify: iters left: 4 (48 enodes) 1540196892.038 * * [misc]simplify: iters left: 3 (96 enodes) 1540196892.057 * * [misc]simplify: iters left: 2 (183 enodes) 1540196892.099 * * [misc]simplify: iters left: 1 (323 enodes) 1540196892.228 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196892.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k))))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196892.228 * * * * [misc]progress: [ 1331 / 6870 ] simplifiying candidate # 1540196892.228 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196892.228 * * [misc]simplify: iters left: 6 (14 enodes) 1540196892.231 * * [misc]simplify: iters left: 5 (24 enodes) 1540196892.239 * * [misc]simplify: iters left: 4 (51 enodes) 1540196892.255 * * [misc]simplify: iters left: 3 (75 enodes) 1540196892.270 * * [misc]simplify: iters left: 2 (119 enodes) 1540196892.294 * * [misc]simplify: iters left: 1 (163 enodes) 1540196892.342 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540196892.343 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196892.343 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196892.343 * * [misc]simplify: iters left: 6 (18 enodes) 1540196892.348 * * [misc]simplify: iters left: 5 (27 enodes) 1540196892.353 * * [misc]simplify: iters left: 4 (45 enodes) 1540196892.360 * * [misc]simplify: iters left: 3 (90 enodes) 1540196892.375 * * [misc]simplify: iters left: 2 (155 enodes) 1540196892.412 * * [misc]simplify: iters left: 1 (239 enodes) 1540196892.483 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540196892.483 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))))) 1540196892.483 * * * * [misc]progress: [ 1332 / 6870 ] simplifiying candidate # 1540196892.483 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196892.484 * * [misc]simplify: iters left: 6 (14 enodes) 1540196892.486 * * [misc]simplify: iters left: 5 (24 enodes) 1540196892.491 * * [misc]simplify: iters left: 4 (51 enodes) 1540196892.502 * * [misc]simplify: iters left: 3 (75 enodes) 1540196892.520 * * [misc]simplify: iters left: 2 (119 enodes) 1540196892.547 * * [misc]simplify: iters left: 1 (163 enodes) 1540196892.606 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540196892.606 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196892.607 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196892.607 * * [misc]simplify: iters left: 6 (18 enodes) 1540196892.609 * * [misc]simplify: iters left: 5 (27 enodes) 1540196892.613 * * [misc]simplify: iters left: 4 (45 enodes) 1540196892.620 * * [misc]simplify: iters left: 3 (90 enodes) 1540196892.637 * * [misc]simplify: iters left: 2 (155 enodes) 1540196892.672 * * [misc]simplify: iters left: 1 (239 enodes) 1540196892.745 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540196892.745 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))))) 1540196892.746 * * * * [misc]progress: [ 1333 / 6870 ] simplifiying candidate # 1540196892.746 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196892.746 * * [misc]simplify: iters left: 6 (18 enodes) 1540196892.748 * * [misc]simplify: iters left: 5 (31 enodes) 1540196892.753 * * [misc]simplify: iters left: 4 (69 enodes) 1540196892.764 * * [misc]simplify: iters left: 3 (130 enodes) 1540196892.800 * * [misc]simplify: iters left: 2 (240 enodes) 1540196892.937 * * [misc]simplify: iters left: 1 (489 enodes) 1540196893.166 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196893.166 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196893.167 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196893.167 * * [misc]simplify: iters left: 6 (19 enodes) 1540196893.172 * * [misc]simplify: iters left: 5 (28 enodes) 1540196893.180 * * [misc]simplify: iters left: 4 (46 enodes) 1540196893.194 * * [misc]simplify: iters left: 3 (91 enodes) 1540196893.214 * * [misc]simplify: iters left: 2 (156 enodes) 1540196893.261 * * [misc]simplify: iters left: 1 (239 enodes) 1540196893.327 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196893.327 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196893.327 * * * * [misc]progress: [ 1334 / 6870 ] simplifiying candidate # 1540196893.328 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196893.328 * * [misc]simplify: iters left: 6 (17 enodes) 1540196893.330 * * [misc]simplify: iters left: 5 (28 enodes) 1540196893.335 * * [misc]simplify: iters left: 4 (58 enodes) 1540196893.344 * * [misc]simplify: iters left: 3 (80 enodes) 1540196893.368 * * [misc]simplify: iters left: 2 (115 enodes) 1540196893.392 * * [misc]simplify: iters left: 1 (171 enodes) 1540196893.431 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540196893.431 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196893.432 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196893.432 * * [misc]simplify: iters left: 6 (19 enodes) 1540196893.436 * * [misc]simplify: iters left: 5 (28 enodes) 1540196893.439 * * [misc]simplify: iters left: 4 (46 enodes) 1540196893.446 * * [misc]simplify: iters left: 3 (91 enodes) 1540196893.465 * * [misc]simplify: iters left: 2 (156 enodes) 1540196893.498 * * [misc]simplify: iters left: 1 (239 enodes) 1540196893.557 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196893.557 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196893.557 * * * * [misc]progress: [ 1335 / 6870 ] simplifiying candidate # 1540196893.557 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196893.557 * * [misc]simplify: iters left: 6 (11 enodes) 1540196893.559 * * [misc]simplify: iters left: 5 (20 enodes) 1540196893.562 * * [misc]simplify: iters left: 4 (37 enodes) 1540196893.567 * * [misc]simplify: iters left: 3 (44 enodes) 1540196893.572 * * [misc]simplify: iters left: 2 (53 enodes) 1540196893.578 * * [misc]simplify: iters left: 1 (63 enodes) 1540196893.586 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196893.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196893.587 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196893.587 * * [misc]simplify: iters left: 6 (18 enodes) 1540196893.589 * * [misc]simplify: iters left: 5 (27 enodes) 1540196893.595 * * [misc]simplify: iters left: 4 (45 enodes) 1540196893.610 * * [misc]simplify: iters left: 3 (90 enodes) 1540196893.641 * * [misc]simplify: iters left: 2 (155 enodes) 1540196893.686 * * [misc]simplify: iters left: 1 (239 enodes) 1540196893.792 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) 1540196893.792 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))))) 1540196893.792 * * * * [misc]progress: [ 1336 / 6870 ] simplifiying candidate # 1540196893.792 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540196893.792 * * [misc]simplify: iters left: 6 (15 enodes) 1540196893.796 * * [misc]simplify: iters left: 5 (25 enodes) 1540196893.800 * * [misc]simplify: iters left: 4 (49 enodes) 1540196893.809 * * [misc]simplify: iters left: 3 (109 enodes) 1540196893.846 * * [misc]simplify: iters left: 2 (173 enodes) 1540196893.914 * * [misc]simplify: iters left: 1 (213 enodes) 1540196893.981 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196893.981 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196893.982 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196893.982 * * [misc]simplify: iters left: 6 (18 enodes) 1540196893.984 * * [misc]simplify: iters left: 5 (27 enodes) 1540196893.988 * * [misc]simplify: iters left: 4 (46 enodes) 1540196893.996 * * [misc]simplify: iters left: 3 (94 enodes) 1540196894.013 * * [misc]simplify: iters left: 2 (181 enodes) 1540196894.062 * * [misc]simplify: iters left: 1 (323 enodes) 1540196894.203 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196894.203 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196894.203 * * * * [misc]progress: [ 1337 / 6870 ] simplifiying candidate # 1540196894.203 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (pow 2 1/2))) 1540196894.204 * * [misc]simplify: iters left: 6 (15 enodes) 1540196894.207 * * [misc]simplify: iters left: 5 (25 enodes) 1540196894.212 * * [misc]simplify: iters left: 4 (49 enodes) 1540196894.221 * * [misc]simplify: iters left: 3 (109 enodes) 1540196894.264 * * [misc]simplify: iters left: 2 (173 enodes) 1540196894.316 * * [misc]simplify: iters left: 1 (213 enodes) 1540196894.387 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196894.387 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196894.387 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196894.387 * * [misc]simplify: iters left: 6 (18 enodes) 1540196894.390 * * [misc]simplify: iters left: 5 (27 enodes) 1540196894.393 * * [misc]simplify: iters left: 4 (46 enodes) 1540196894.400 * * [misc]simplify: iters left: 3 (94 enodes) 1540196894.418 * * [misc]simplify: iters left: 2 (181 enodes) 1540196894.462 * * [misc]simplify: iters left: 1 (323 enodes) 1540196894.593 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196894.593 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196894.593 * * * * [misc]progress: [ 1338 / 6870 ] simplifiying candidate # 1540196894.594 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196894.594 * * [misc]simplify: iters left: 6 (19 enodes) 1540196894.597 * * [misc]simplify: iters left: 5 (32 enodes) 1540196894.603 * * [misc]simplify: iters left: 4 (66 enodes) 1540196894.614 * * [misc]simplify: iters left: 3 (142 enodes) 1540196894.663 * * [misc]simplify: iters left: 2 (361 enodes) 1540196894.947 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196894.947 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196894.948 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196894.948 * * [misc]simplify: iters left: 6 (19 enodes) 1540196894.950 * * [misc]simplify: iters left: 5 (28 enodes) 1540196894.954 * * [misc]simplify: iters left: 4 (47 enodes) 1540196894.961 * * [misc]simplify: iters left: 3 (95 enodes) 1540196894.979 * * [misc]simplify: iters left: 2 (182 enodes) 1540196895.021 * * [misc]simplify: iters left: 1 (317 enodes) 1540196895.158 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196895.158 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196895.158 * * * * [misc]progress: [ 1339 / 6870 ] simplifiying candidate # 1540196895.159 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196895.159 * * [misc]simplify: iters left: 6 (18 enodes) 1540196895.165 * * [misc]simplify: iters left: 5 (29 enodes) 1540196895.172 * * [misc]simplify: iters left: 4 (56 enodes) 1540196895.181 * * [misc]simplify: iters left: 3 (116 enodes) 1540196895.211 * * [misc]simplify: iters left: 2 (224 enodes) 1540196895.337 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196895.337 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196895.337 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196895.337 * * [misc]simplify: iters left: 6 (19 enodes) 1540196895.340 * * [misc]simplify: iters left: 5 (28 enodes) 1540196895.344 * * [misc]simplify: iters left: 4 (47 enodes) 1540196895.351 * * [misc]simplify: iters left: 3 (95 enodes) 1540196895.374 * * [misc]simplify: iters left: 2 (182 enodes) 1540196895.426 * * [misc]simplify: iters left: 1 (317 enodes) 1540196895.559 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196895.559 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196895.559 * * * * [misc]progress: [ 1340 / 6870 ] simplifiying candidate # 1540196895.560 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt 1) 1)) 1540196895.560 * * [misc]simplify: iters left: 6 (13 enodes) 1540196895.565 * * [misc]simplify: iters left: 5 (22 enodes) 1540196895.571 * * [misc]simplify: iters left: 4 (33 enodes) 1540196895.575 * * [misc]simplify: iters left: 3 (37 enodes) 1540196895.579 * * [misc]simplify: iters left: 2 (44 enodes) 1540196895.584 * * [misc]simplify: iters left: 1 (52 enodes) 1540196895.592 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196895.592 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196895.592 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196895.592 * * [misc]simplify: iters left: 6 (18 enodes) 1540196895.595 * * [misc]simplify: iters left: 5 (27 enodes) 1540196895.598 * * [misc]simplify: iters left: 4 (46 enodes) 1540196895.612 * * [misc]simplify: iters left: 3 (94 enodes) 1540196895.630 * * [misc]simplify: iters left: 2 (181 enodes) 1540196895.697 * * [misc]simplify: iters left: 1 (323 enodes) 1540196895.841 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196895.841 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196895.841 * * * * [misc]progress: [ 1341 / 6870 ] simplifiying candidate # 1540196895.842 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196895.842 * * [misc]simplify: iters left: 6 (14 enodes) 1540196895.844 * * [misc]simplify: iters left: 5 (24 enodes) 1540196895.849 * * [misc]simplify: iters left: 4 (51 enodes) 1540196895.857 * * [misc]simplify: iters left: 3 (75 enodes) 1540196895.870 * * [misc]simplify: iters left: 2 (119 enodes) 1540196895.894 * * [misc]simplify: iters left: 1 (163 enodes) 1540196895.941 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540196895.942 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196895.942 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196895.942 * * [misc]simplify: iters left: 6 (18 enodes) 1540196895.944 * * [misc]simplify: iters left: 5 (27 enodes) 1540196895.950 * * [misc]simplify: iters left: 4 (45 enodes) 1540196895.962 * * [misc]simplify: iters left: 3 (90 enodes) 1540196895.993 * * [misc]simplify: iters left: 2 (155 enodes) 1540196896.050 * * [misc]simplify: iters left: 1 (239 enodes) 1540196896.111 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540196896.111 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))))) 1540196896.111 * * * * [misc]progress: [ 1342 / 6870 ] simplifiying candidate # 1540196896.111 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196896.112 * * [misc]simplify: iters left: 6 (14 enodes) 1540196896.114 * * [misc]simplify: iters left: 5 (24 enodes) 1540196896.118 * * [misc]simplify: iters left: 4 (51 enodes) 1540196896.128 * * [misc]simplify: iters left: 3 (75 enodes) 1540196896.140 * * [misc]simplify: iters left: 2 (119 enodes) 1540196896.163 * * [misc]simplify: iters left: 1 (163 enodes) 1540196896.206 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) 1540196896.206 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196896.207 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196896.207 * * [misc]simplify: iters left: 6 (18 enodes) 1540196896.209 * * [misc]simplify: iters left: 5 (27 enodes) 1540196896.213 * * [misc]simplify: iters left: 4 (45 enodes) 1540196896.220 * * [misc]simplify: iters left: 3 (90 enodes) 1540196896.236 * * [misc]simplify: iters left: 2 (155 enodes) 1540196896.270 * * [misc]simplify: iters left: 1 (239 enodes) 1540196896.342 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))) 1540196896.342 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (/ (- k) 2)) (pow n (- 1/2 (/ k 2))))))) 1540196896.342 * * * * [misc]progress: [ 1343 / 6870 ] simplifiying candidate # 1540196896.343 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196896.343 * * [misc]simplify: iters left: 6 (18 enodes) 1540196896.345 * * [misc]simplify: iters left: 5 (31 enodes) 1540196896.350 * * [misc]simplify: iters left: 4 (69 enodes) 1540196896.361 * * [misc]simplify: iters left: 3 (130 enodes) 1540196896.387 * * [misc]simplify: iters left: 2 (240 enodes) 1540196896.516 * * [misc]simplify: iters left: 1 (489 enodes) 1540196896.734 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196896.734 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196896.734 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196896.734 * * [misc]simplify: iters left: 6 (19 enodes) 1540196896.737 * * [misc]simplify: iters left: 5 (28 enodes) 1540196896.741 * * [misc]simplify: iters left: 4 (46 enodes) 1540196896.748 * * [misc]simplify: iters left: 3 (91 enodes) 1540196896.766 * * [misc]simplify: iters left: 2 (156 enodes) 1540196896.807 * * [misc]simplify: iters left: 1 (239 enodes) 1540196896.871 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196896.871 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196896.871 * * * * [misc]progress: [ 1344 / 6870 ] simplifiying candidate # 1540196896.871 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196896.871 * * [misc]simplify: iters left: 6 (17 enodes) 1540196896.873 * * [misc]simplify: iters left: 5 (28 enodes) 1540196896.878 * * [misc]simplify: iters left: 4 (58 enodes) 1540196896.886 * * [misc]simplify: iters left: 3 (80 enodes) 1540196896.899 * * [misc]simplify: iters left: 2 (115 enodes) 1540196896.940 * * [misc]simplify: iters left: 1 (171 enodes) 1540196896.991 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540196896.991 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196896.991 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196896.992 * * [misc]simplify: iters left: 6 (19 enodes) 1540196896.998 * * [misc]simplify: iters left: 5 (28 enodes) 1540196897.007 * * [misc]simplify: iters left: 4 (46 enodes) 1540196897.020 * * [misc]simplify: iters left: 3 (91 enodes) 1540196897.051 * * [misc]simplify: iters left: 2 (156 enodes) 1540196897.098 * * [misc]simplify: iters left: 1 (239 enodes) 1540196897.169 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196897.169 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196897.169 * * * * [misc]progress: [ 1345 / 6870 ] simplifiying candidate # 1540196897.169 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196897.169 * * [misc]simplify: iters left: 6 (11 enodes) 1540196897.171 * * [misc]simplify: iters left: 5 (20 enodes) 1540196897.174 * * [misc]simplify: iters left: 4 (37 enodes) 1540196897.179 * * [misc]simplify: iters left: 3 (44 enodes) 1540196897.184 * * [misc]simplify: iters left: 2 (53 enodes) 1540196897.195 * * [misc]simplify: iters left: 1 (63 enodes) 1540196897.205 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196897.205 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196897.205 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196897.205 * * [misc]simplify: iters left: 6 (18 enodes) 1540196897.208 * * [misc]simplify: iters left: 5 (27 enodes) 1540196897.212 * * [misc]simplify: iters left: 4 (45 enodes) 1540196897.219 * * [misc]simplify: iters left: 3 (90 enodes) 1540196897.235 * * [misc]simplify: iters left: 2 (155 enodes) 1540196897.278 * * [misc]simplify: iters left: 1 (239 enodes) 1540196897.335 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))) 1540196897.336 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (- 1/2 (/ k 2))))))) 1540196897.336 * * * * [misc]progress: [ 1346 / 6870 ] simplifiying candidate # 1540196897.336 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (pow 2 1/2))) 1540196897.336 * * [misc]simplify: iters left: 6 (14 enodes) 1540196897.339 * * [misc]simplify: iters left: 5 (24 enodes) 1540196897.343 * * [misc]simplify: iters left: 4 (44 enodes) 1540196897.349 * * [misc]simplify: iters left: 3 (75 enodes) 1540196897.364 * * [misc]simplify: iters left: 2 (117 enodes) 1540196897.397 * * [misc]simplify: iters left: 1 (180 enodes) 1540196897.446 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196897.446 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196897.447 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196897.447 * * [misc]simplify: iters left: 6 (18 enodes) 1540196897.449 * * [misc]simplify: iters left: 5 (27 enodes) 1540196897.453 * * [misc]simplify: iters left: 4 (46 enodes) 1540196897.461 * * [misc]simplify: iters left: 3 (94 enodes) 1540196897.477 * * [misc]simplify: iters left: 2 (181 enodes) 1540196897.517 * * [misc]simplify: iters left: 1 (323 enodes) 1540196897.626 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196897.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196897.626 * * * * [misc]progress: [ 1347 / 6870 ] simplifiying candidate # 1540196897.627 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (pow 2 1/2))) 1540196897.627 * * [misc]simplify: iters left: 6 (14 enodes) 1540196897.629 * * [misc]simplify: iters left: 5 (24 enodes) 1540196897.633 * * [misc]simplify: iters left: 4 (44 enodes) 1540196897.642 * * [misc]simplify: iters left: 3 (75 enodes) 1540196897.656 * * [misc]simplify: iters left: 2 (117 enodes) 1540196897.688 * * [misc]simplify: iters left: 1 (180 enodes) 1540196897.764 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196897.764 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196897.764 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196897.764 * * [misc]simplify: iters left: 6 (18 enodes) 1540196897.769 * * [misc]simplify: iters left: 5 (27 enodes) 1540196897.775 * * [misc]simplify: iters left: 4 (46 enodes) 1540196897.788 * * [misc]simplify: iters left: 3 (94 enodes) 1540196897.819 * * [misc]simplify: iters left: 2 (181 enodes) 1540196897.884 * * [misc]simplify: iters left: 1 (323 enodes) 1540196897.993 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196897.993 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196897.993 * * * * [misc]progress: [ 1348 / 6870 ] simplifiying candidate # 1540196897.994 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196897.994 * * [misc]simplify: iters left: 6 (18 enodes) 1540196897.996 * * [misc]simplify: iters left: 5 (31 enodes) 1540196898.002 * * [misc]simplify: iters left: 4 (60 enodes) 1540196898.011 * * [misc]simplify: iters left: 3 (113 enodes) 1540196898.037 * * [misc]simplify: iters left: 2 (281 enodes) 1540196898.228 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196898.228 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196898.229 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196898.229 * * [misc]simplify: iters left: 6 (19 enodes) 1540196898.231 * * [misc]simplify: iters left: 5 (28 enodes) 1540196898.235 * * [misc]simplify: iters left: 4 (47 enodes) 1540196898.242 * * [misc]simplify: iters left: 3 (95 enodes) 1540196898.271 * * [misc]simplify: iters left: 2 (182 enodes) 1540196898.313 * * [misc]simplify: iters left: 1 (317 enodes) 1540196898.444 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196898.444 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196898.444 * * * * [misc]progress: [ 1349 / 6870 ] simplifiying candidate # 1540196898.445 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196898.445 * * [misc]simplify: iters left: 6 (17 enodes) 1540196898.450 * * [misc]simplify: iters left: 5 (28 enodes) 1540196898.459 * * [misc]simplify: iters left: 4 (51 enodes) 1540196898.473 * * [misc]simplify: iters left: 3 (80 enodes) 1540196898.489 * * [misc]simplify: iters left: 2 (147 enodes) 1540196898.552 * * [misc]simplify: iters left: 1 (283 enodes) 1540196898.666 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) 1540196898.666 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196898.666 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196898.666 * * [misc]simplify: iters left: 6 (19 enodes) 1540196898.670 * * [misc]simplify: iters left: 5 (28 enodes) 1540196898.674 * * [misc]simplify: iters left: 4 (47 enodes) 1540196898.681 * * [misc]simplify: iters left: 3 (95 enodes) 1540196898.699 * * [misc]simplify: iters left: 2 (182 enodes) 1540196898.751 * * [misc]simplify: iters left: 1 (317 enodes) 1540196898.899 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))) 1540196898.899 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))))))) 1540196898.899 * * * * [misc]progress: [ 1350 / 6870 ] simplifiying candidate # 1540196898.900 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ 1 1)) 1540196898.900 * * [misc]simplify: iters left: 6 (12 enodes) 1540196898.903 * * [misc]simplify: iters left: 5 (19 enodes) 1540196898.908 * * [misc]simplify: iters left: 4 (30 enodes) 1540196898.917 * * [misc]simplify: iters left: 3 (34 enodes) 1540196898.920 * * [misc]simplify: iters left: 2 (41 enodes) 1540196898.926 * * [misc]simplify: iters left: 1 (51 enodes) 1540196898.934 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196898.934 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196898.934 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196898.934 * * [misc]simplify: iters left: 6 (18 enodes) 1540196898.937 * * [misc]simplify: iters left: 5 (27 enodes) 1540196898.940 * * [misc]simplify: iters left: 4 (46 enodes) 1540196898.948 * * [misc]simplify: iters left: 3 (94 enodes) 1540196898.979 * * [misc]simplify: iters left: 2 (181 enodes) 1540196899.036 * * [misc]simplify: iters left: 1 (323 enodes) 1540196899.186 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196899.186 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196899.186 * * * * [misc]progress: [ 1351 / 6870 ] simplifiying candidate # 1540196899.186 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) 1) 1540196899.186 * * [misc]simplify: iters left: 6 (11 enodes) 1540196899.188 * * [misc]simplify: iters left: 5 (18 enodes) 1540196899.191 * * [misc]simplify: iters left: 4 (34 enodes) 1540196899.197 * * [misc]simplify: iters left: 3 (41 enodes) 1540196899.203 * * [misc]simplify: iters left: 2 (54 enodes) 1540196899.218 * * [misc]simplify: iters left: 1 (66 enodes) 1540196899.238 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196899.238 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196899.238 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196899.238 * * [misc]simplify: iters left: 6 (18 enodes) 1540196899.243 * * [misc]simplify: iters left: 5 (27 enodes) 1540196899.251 * * [misc]simplify: iters left: 4 (46 enodes) 1540196899.266 * * [misc]simplify: iters left: 3 (94 enodes) 1540196899.290 * * [misc]simplify: iters left: 2 (181 enodes) 1540196899.332 * * [misc]simplify: iters left: 1 (323 enodes) 1540196899.445 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196899.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196899.445 * * * * [misc]progress: [ 1352 / 6870 ] simplifiying candidate # 1540196899.446 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (sqrt (sqrt k))) 1540196899.446 * * [misc]simplify: iters left: 6 (11 enodes) 1540196899.447 * * [misc]simplify: iters left: 5 (18 enodes) 1540196899.450 * * [misc]simplify: iters left: 4 (32 enodes) 1540196899.454 * * [misc]simplify: iters left: 3 (53 enodes) 1540196899.464 * * [misc]simplify: iters left: 2 (115 enodes) 1540196899.498 * * [misc]simplify: iters left: 1 (199 enodes) 1540196899.530 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196899.530 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196899.530 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196899.530 * * [misc]simplify: iters left: 6 (19 enodes) 1540196899.534 * * [misc]simplify: iters left: 5 (30 enodes) 1540196899.538 * * [misc]simplify: iters left: 4 (47 enodes) 1540196899.546 * * [misc]simplify: iters left: 3 (99 enodes) 1540196899.564 * * [misc]simplify: iters left: 2 (207 enodes) 1540196899.632 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196899.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196899.632 * * * * [misc]progress: [ 1353 / 6870 ] simplifiying candidate # 1540196899.632 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196899.632 * * [misc]simplify: iters left: 6 (14 enodes) 1540196899.635 * * [misc]simplify: iters left: 5 (24 enodes) 1540196899.639 * * [misc]simplify: iters left: 4 (46 enodes) 1540196899.647 * * [misc]simplify: iters left: 3 (100 enodes) 1540196899.670 * * [misc]simplify: iters left: 2 (216 enodes) 1540196899.755 * * [misc]simplify: iters left: 1 (375 enodes) 1540196899.859 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196899.859 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))))) 1540196899.859 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540196899.859 * * [misc]simplify: iters left: 6 (17 enodes) 1540196899.863 * * [misc]simplify: iters left: 5 (24 enodes) 1540196899.867 * * [misc]simplify: iters left: 4 (35 enodes) 1540196899.871 * * [misc]simplify: iters left: 3 (50 enodes) 1540196899.878 * * [misc]simplify: iters left: 2 (67 enodes) 1540196899.887 * * [misc]simplify: iters left: 1 (84 enodes) 1540196899.899 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196899.899 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196899.899 * * * * [misc]progress: [ 1354 / 6870 ] simplifiying candidate # 1540196899.899 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196899.899 * * [misc]simplify: iters left: 6 (19 enodes) 1540196899.902 * * [misc]simplify: iters left: 5 (31 enodes) 1540196899.906 * * [misc]simplify: iters left: 4 (51 enodes) 1540196899.914 * * [misc]simplify: iters left: 3 (94 enodes) 1540196899.929 * * [misc]simplify: iters left: 2 (154 enodes) 1540196899.966 * * [misc]simplify: iters left: 1 (270 enodes) 1540196900.023 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (sqrt PI))) 1540196900.023 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196900.023 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196900.023 * * [misc]simplify: iters left: 6 (18 enodes) 1540196900.026 * * [misc]simplify: iters left: 5 (25 enodes) 1540196900.029 * * [misc]simplify: iters left: 4 (36 enodes) 1540196900.034 * * [misc]simplify: iters left: 3 (51 enodes) 1540196900.041 * * [misc]simplify: iters left: 2 (68 enodes) 1540196900.050 * * [misc]simplify: iters left: 1 (85 enodes) 1540196900.062 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196900.062 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196900.062 * * * * [misc]progress: [ 1355 / 6870 ] simplifiying candidate # 1540196900.062 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196900.062 * * [misc]simplify: iters left: 6 (18 enodes) 1540196900.065 * * [misc]simplify: iters left: 5 (28 enodes) 1540196900.069 * * [misc]simplify: iters left: 4 (40 enodes) 1540196900.076 * * [misc]simplify: iters left: 3 (70 enodes) 1540196900.086 * * [misc]simplify: iters left: 2 (86 enodes) 1540196900.095 * * [misc]simplify: iters left: 1 (97 enodes) 1540196900.107 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196900.107 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196900.107 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196900.107 * * [misc]simplify: iters left: 6 (18 enodes) 1540196900.109 * * [misc]simplify: iters left: 5 (25 enodes) 1540196900.113 * * [misc]simplify: iters left: 4 (36 enodes) 1540196900.118 * * [misc]simplify: iters left: 3 (51 enodes) 1540196900.125 * * [misc]simplify: iters left: 2 (68 enodes) 1540196900.134 * * [misc]simplify: iters left: 1 (85 enodes) 1540196900.147 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196900.147 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196900.147 * * * * [misc]progress: [ 1356 / 6870 ] simplifiying candidate # 1540196900.148 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196900.148 * * [misc]simplify: iters left: 6 (17 enodes) 1540196900.151 * * [misc]simplify: iters left: 5 (30 enodes) 1540196900.156 * * [misc]simplify: iters left: 4 (57 enodes) 1540196900.169 * * [misc]simplify: iters left: 3 (156 enodes) 1540196900.207 * * [misc]simplify: iters left: 2 (437 enodes) 1540196900.538 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196900.538 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196900.538 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196900.539 * * [misc]simplify: iters left: 6 (16 enodes) 1540196900.541 * * [misc]simplify: iters left: 5 (24 enodes) 1540196900.544 * * [misc]simplify: iters left: 4 (42 enodes) 1540196900.551 * * [misc]simplify: iters left: 3 (90 enodes) 1540196900.568 * * [misc]simplify: iters left: 2 (177 enodes) 1540196900.623 * * [misc]simplify: iters left: 1 (312 enodes) 1540196900.729 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540196900.729 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))))) 1540196900.729 * * * * [misc]progress: [ 1357 / 6870 ] simplifiying candidate # 1540196900.729 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196900.730 * * [misc]simplify: iters left: 6 (17 enodes) 1540196900.733 * * [misc]simplify: iters left: 5 (30 enodes) 1540196900.737 * * [misc]simplify: iters left: 4 (57 enodes) 1540196900.749 * * [misc]simplify: iters left: 3 (156 enodes) 1540196900.789 * * [misc]simplify: iters left: 2 (437 enodes) 1540196901.112 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196901.112 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196901.112 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196901.112 * * [misc]simplify: iters left: 6 (16 enodes) 1540196901.115 * * [misc]simplify: iters left: 5 (24 enodes) 1540196901.118 * * [misc]simplify: iters left: 4 (42 enodes) 1540196901.125 * * [misc]simplify: iters left: 3 (90 enodes) 1540196901.145 * * [misc]simplify: iters left: 2 (177 enodes) 1540196901.183 * * [misc]simplify: iters left: 1 (312 enodes) 1540196901.289 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540196901.289 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))))) 1540196901.290 * * * * [misc]progress: [ 1358 / 6870 ] simplifiying candidate # 1540196901.291 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196901.291 * * [misc]simplify: iters left: 6 (21 enodes) 1540196901.297 * * [misc]simplify: iters left: 5 (39 enodes) 1540196901.309 * * [misc]simplify: iters left: 4 (89 enodes) 1540196901.330 * * [misc]simplify: iters left: 3 (257 enodes) 1540196901.420 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196901.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196901.420 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196901.420 * * [misc]simplify: iters left: 6 (19 enodes) 1540196901.423 * * [misc]simplify: iters left: 5 (28 enodes) 1540196901.427 * * [misc]simplify: iters left: 4 (47 enodes) 1540196901.434 * * [misc]simplify: iters left: 3 (95 enodes) 1540196901.452 * * [misc]simplify: iters left: 2 (182 enodes) 1540196901.494 * * [misc]simplify: iters left: 1 (321 enodes) 1540196901.603 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196901.604 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196901.604 * * * * [misc]progress: [ 1359 / 6870 ] simplifiying candidate # 1540196901.604 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196901.604 * * [misc]simplify: iters left: 6 (20 enodes) 1540196901.607 * * [misc]simplify: iters left: 5 (34 enodes) 1540196901.612 * * [misc]simplify: iters left: 4 (64 enodes) 1540196901.624 * * [misc]simplify: iters left: 3 (163 enodes) 1540196901.665 * * [misc]simplify: iters left: 2 (446 enodes) 1540196901.961 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) 1540196901.961 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196901.961 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196901.962 * * [misc]simplify: iters left: 6 (19 enodes) 1540196901.964 * * [misc]simplify: iters left: 5 (28 enodes) 1540196901.971 * * [misc]simplify: iters left: 4 (47 enodes) 1540196901.978 * * [misc]simplify: iters left: 3 (95 enodes) 1540196901.996 * * [misc]simplify: iters left: 2 (182 enodes) 1540196902.039 * * [misc]simplify: iters left: 1 (321 enodes) 1540196902.160 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196902.161 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196902.161 * * * * [misc]progress: [ 1360 / 6870 ] simplifiying candidate # 1540196902.161 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196902.161 * * [misc]simplify: iters left: 6 (15 enodes) 1540196902.163 * * [misc]simplify: iters left: 5 (27 enodes) 1540196902.168 * * [misc]simplify: iters left: 4 (55 enodes) 1540196902.179 * * [misc]simplify: iters left: 3 (127 enodes) 1540196902.217 * * [misc]simplify: iters left: 2 (344 enodes) 1540196902.377 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt n))) 1540196902.377 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196902.377 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196902.377 * * [misc]simplify: iters left: 6 (18 enodes) 1540196902.380 * * [misc]simplify: iters left: 5 (27 enodes) 1540196902.384 * * [misc]simplify: iters left: 4 (46 enodes) 1540196902.391 * * [misc]simplify: iters left: 3 (94 enodes) 1540196902.408 * * [misc]simplify: iters left: 2 (181 enodes) 1540196902.451 * * [misc]simplify: iters left: 1 (325 enodes) 1540196902.564 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196902.564 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt n))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196902.564 * * * * [misc]progress: [ 1361 / 6870 ] simplifiying candidate # 1540196902.565 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196902.565 * * [misc]simplify: iters left: 6 (17 enodes) 1540196902.568 * * [misc]simplify: iters left: 5 (29 enodes) 1540196902.572 * * [misc]simplify: iters left: 4 (46 enodes) 1540196902.580 * * [misc]simplify: iters left: 3 (97 enodes) 1540196902.598 * * [misc]simplify: iters left: 2 (166 enodes) 1540196902.638 * * [misc]simplify: iters left: 1 (280 enodes) 1540196902.721 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540196902.721 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196902.721 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196902.721 * * [misc]simplify: iters left: 6 (17 enodes) 1540196902.723 * * [misc]simplify: iters left: 5 (25 enodes) 1540196902.727 * * [misc]simplify: iters left: 4 (43 enodes) 1540196902.734 * * [misc]simplify: iters left: 3 (91 enodes) 1540196902.752 * * [misc]simplify: iters left: 2 (178 enodes) 1540196902.792 * * [misc]simplify: iters left: 1 (316 enodes) 1540196902.900 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540196902.900 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))))) 1540196902.900 * * * * [misc]progress: [ 1362 / 6870 ] simplifiying candidate # 1540196902.900 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196902.900 * * [misc]simplify: iters left: 6 (17 enodes) 1540196902.903 * * [misc]simplify: iters left: 5 (29 enodes) 1540196902.908 * * [misc]simplify: iters left: 4 (46 enodes) 1540196902.916 * * [misc]simplify: iters left: 3 (97 enodes) 1540196902.935 * * [misc]simplify: iters left: 2 (166 enodes) 1540196902.973 * * [misc]simplify: iters left: 1 (280 enodes) 1540196903.056 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540196903.057 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196903.057 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196903.057 * * [misc]simplify: iters left: 6 (17 enodes) 1540196903.061 * * [misc]simplify: iters left: 5 (25 enodes) 1540196903.064 * * [misc]simplify: iters left: 4 (43 enodes) 1540196903.071 * * [misc]simplify: iters left: 3 (91 enodes) 1540196903.088 * * [misc]simplify: iters left: 2 (178 enodes) 1540196903.129 * * [misc]simplify: iters left: 1 (316 enodes) 1540196903.236 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540196903.236 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))))) 1540196903.236 * * * * [misc]progress: [ 1363 / 6870 ] simplifiying candidate # 1540196903.236 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196903.236 * * [misc]simplify: iters left: 6 (21 enodes) 1540196903.239 * * [misc]simplify: iters left: 5 (36 enodes) 1540196903.246 * * [misc]simplify: iters left: 4 (62 enodes) 1540196903.256 * * [misc]simplify: iters left: 3 (136 enodes) 1540196903.284 * * [misc]simplify: iters left: 2 (287 enodes) 1540196903.389 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196903.389 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196903.390 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196903.390 * * [misc]simplify: iters left: 6 (20 enodes) 1540196903.392 * * [misc]simplify: iters left: 5 (29 enodes) 1540196903.396 * * [misc]simplify: iters left: 4 (48 enodes) 1540196903.404 * * [misc]simplify: iters left: 3 (96 enodes) 1540196903.421 * * [misc]simplify: iters left: 2 (183 enodes) 1540196903.464 * * [misc]simplify: iters left: 1 (326 enodes) 1540196903.576 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))) 1540196903.576 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))))) 1540196903.576 * * * * [misc]progress: [ 1364 / 6870 ] simplifiying candidate # 1540196903.576 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196903.576 * * [misc]simplify: iters left: 6 (20 enodes) 1540196903.579 * * [misc]simplify: iters left: 5 (33 enodes) 1540196903.584 * * [misc]simplify: iters left: 4 (53 enodes) 1540196903.592 * * [misc]simplify: iters left: 3 (104 enodes) 1540196903.610 * * [misc]simplify: iters left: 2 (177 enodes) 1540196903.666 * * [misc]simplify: iters left: 1 (309 enodes) 1540196903.767 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) 1540196903.767 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196903.767 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196903.767 * * [misc]simplify: iters left: 6 (20 enodes) 1540196903.771 * * [misc]simplify: iters left: 5 (29 enodes) 1540196903.776 * * [misc]simplify: iters left: 4 (48 enodes) 1540196903.783 * * [misc]simplify: iters left: 3 (96 enodes) 1540196903.800 * * [misc]simplify: iters left: 2 (183 enodes) 1540196903.842 * * [misc]simplify: iters left: 1 (326 enodes) 1540196903.956 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))) 1540196903.956 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))))) 1540196903.956 * * * * [misc]progress: [ 1365 / 6870 ] simplifiying candidate # 1540196903.956 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196903.956 * * [misc]simplify: iters left: 6 (15 enodes) 1540196903.958 * * [misc]simplify: iters left: 5 (25 enodes) 1540196903.962 * * [misc]simplify: iters left: 4 (39 enodes) 1540196903.968 * * [misc]simplify: iters left: 3 (71 enodes) 1540196903.987 * * [misc]simplify: iters left: 2 (137 enodes) 1540196904.028 * * [misc]simplify: iters left: 1 (209 enodes) 1540196904.084 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540196904.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196904.084 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196904.084 * * [misc]simplify: iters left: 6 (19 enodes) 1540196904.087 * * [misc]simplify: iters left: 5 (28 enodes) 1540196904.092 * * [misc]simplify: iters left: 4 (47 enodes) 1540196904.100 * * [misc]simplify: iters left: 3 (95 enodes) 1540196904.117 * * [misc]simplify: iters left: 2 (182 enodes) 1540196904.160 * * [misc]simplify: iters left: 1 (320 enodes) 1540196904.268 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2))))) 1540196904.268 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2))))))) 1540196904.268 * * * * [misc]progress: [ 1366 / 6870 ] simplifiying candidate # 1540196904.268 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196904.268 * * [misc]simplify: iters left: 6 (16 enodes) 1540196904.271 * * [misc]simplify: iters left: 5 (27 enodes) 1540196904.275 * * [misc]simplify: iters left: 4 (44 enodes) 1540196904.285 * * [misc]simplify: iters left: 3 (95 enodes) 1540196904.304 * * [misc]simplify: iters left: 2 (186 enodes) 1540196904.361 * * [misc]simplify: iters left: 1 (396 enodes) 1540196904.568 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196904.568 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196904.568 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196904.568 * * [misc]simplify: iters left: 6 (16 enodes) 1540196904.570 * * [misc]simplify: iters left: 5 (24 enodes) 1540196904.574 * * [misc]simplify: iters left: 4 (42 enodes) 1540196904.580 * * [misc]simplify: iters left: 3 (90 enodes) 1540196904.600 * * [misc]simplify: iters left: 2 (177 enodes) 1540196904.639 * * [misc]simplify: iters left: 1 (312 enodes) 1540196904.747 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196904.747 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196904.748 * * * * [misc]progress: [ 1367 / 6870 ] simplifiying candidate # 1540196904.748 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196904.748 * * [misc]simplify: iters left: 6 (16 enodes) 1540196904.751 * * [misc]simplify: iters left: 5 (27 enodes) 1540196904.755 * * [misc]simplify: iters left: 4 (44 enodes) 1540196904.763 * * [misc]simplify: iters left: 3 (95 enodes) 1540196904.784 * * [misc]simplify: iters left: 2 (186 enodes) 1540196904.839 * * [misc]simplify: iters left: 1 (396 enodes) 1540196905.045 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196905.045 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196905.045 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196905.046 * * [misc]simplify: iters left: 6 (16 enodes) 1540196905.048 * * [misc]simplify: iters left: 5 (24 enodes) 1540196905.051 * * [misc]simplify: iters left: 4 (42 enodes) 1540196905.058 * * [misc]simplify: iters left: 3 (90 enodes) 1540196905.075 * * [misc]simplify: iters left: 2 (177 enodes) 1540196905.116 * * [misc]simplify: iters left: 1 (312 enodes) 1540196905.258 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196905.258 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196905.258 * * * * [misc]progress: [ 1368 / 6870 ] simplifiying candidate # 1540196905.258 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196905.258 * * [misc]simplify: iters left: 6 (20 enodes) 1540196905.261 * * [misc]simplify: iters left: 5 (34 enodes) 1540196905.266 * * [misc]simplify: iters left: 4 (60 enodes) 1540196905.276 * * [misc]simplify: iters left: 3 (134 enodes) 1540196905.305 * * [misc]simplify: iters left: 2 (324 enodes) 1540196905.445 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196905.445 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196905.445 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196905.445 * * [misc]simplify: iters left: 6 (19 enodes) 1540196905.448 * * [misc]simplify: iters left: 5 (28 enodes) 1540196905.451 * * [misc]simplify: iters left: 4 (47 enodes) 1540196905.459 * * [misc]simplify: iters left: 3 (95 enodes) 1540196905.476 * * [misc]simplify: iters left: 2 (182 enodes) 1540196905.517 * * [misc]simplify: iters left: 1 (321 enodes) 1540196905.625 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196905.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196905.625 * * * * [misc]progress: [ 1369 / 6870 ] simplifiying candidate # 1540196905.625 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196905.625 * * [misc]simplify: iters left: 6 (19 enodes) 1540196905.628 * * [misc]simplify: iters left: 5 (31 enodes) 1540196905.632 * * [misc]simplify: iters left: 4 (51 enodes) 1540196905.640 * * [misc]simplify: iters left: 3 (102 enodes) 1540196905.658 * * [misc]simplify: iters left: 2 (193 enodes) 1540196905.704 * * [misc]simplify: iters left: 1 (440 enodes) 1540196905.947 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196905.947 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196905.948 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196905.948 * * [misc]simplify: iters left: 6 (19 enodes) 1540196905.950 * * [misc]simplify: iters left: 5 (28 enodes) 1540196905.954 * * [misc]simplify: iters left: 4 (47 enodes) 1540196905.961 * * [misc]simplify: iters left: 3 (95 enodes) 1540196905.979 * * [misc]simplify: iters left: 2 (182 enodes) 1540196906.021 * * [misc]simplify: iters left: 1 (321 enodes) 1540196906.129 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196906.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196906.129 * * * * [misc]progress: [ 1370 / 6870 ] simplifiying candidate # 1540196906.129 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196906.129 * * [misc]simplify: iters left: 6 (14 enodes) 1540196906.131 * * [misc]simplify: iters left: 5 (24 enodes) 1540196906.135 * * [misc]simplify: iters left: 4 (44 enodes) 1540196906.142 * * [misc]simplify: iters left: 3 (67 enodes) 1540196906.153 * * [misc]simplify: iters left: 2 (108 enodes) 1540196906.179 * * [misc]simplify: iters left: 1 (162 enodes) 1540196906.227 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196906.227 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196906.227 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196906.227 * * [misc]simplify: iters left: 6 (18 enodes) 1540196906.229 * * [misc]simplify: iters left: 5 (27 enodes) 1540196906.234 * * [misc]simplify: iters left: 4 (46 enodes) 1540196906.241 * * [misc]simplify: iters left: 3 (94 enodes) 1540196906.258 * * [misc]simplify: iters left: 2 (181 enodes) 1540196906.300 * * [misc]simplify: iters left: 1 (325 enodes) 1540196906.412 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196906.412 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196906.412 * * * * [misc]progress: [ 1371 / 6870 ] simplifiying candidate # 1540196906.413 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196906.413 * * [misc]simplify: iters left: 6 (13 enodes) 1540196906.416 * * [misc]simplify: iters left: 5 (24 enodes) 1540196906.421 * * [misc]simplify: iters left: 4 (34 enodes) 1540196906.427 * * [misc]simplify: iters left: 3 (77 enodes) 1540196906.441 * * [misc]simplify: iters left: 2 (105 enodes) 1540196906.455 * * [misc]simplify: iters left: 1 (122 enodes) 1540196906.472 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt n)) 1540196906.472 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196906.472 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196906.472 * * [misc]simplify: iters left: 6 (15 enodes) 1540196906.474 * * [misc]simplify: iters left: 5 (23 enodes) 1540196906.478 * * [misc]simplify: iters left: 4 (40 enodes) 1540196906.484 * * [misc]simplify: iters left: 3 (85 enodes) 1540196906.501 * * [misc]simplify: iters left: 2 (150 enodes) 1540196906.533 * * [misc]simplify: iters left: 1 (234 enodes) 1540196906.589 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196906.589 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196906.589 * * * * [misc]progress: [ 1372 / 6870 ] simplifiying candidate # 1540196906.590 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196906.590 * * [misc]simplify: iters left: 6 (13 enodes) 1540196906.593 * * [misc]simplify: iters left: 5 (24 enodes) 1540196906.596 * * [misc]simplify: iters left: 4 (34 enodes) 1540196906.602 * * [misc]simplify: iters left: 3 (77 enodes) 1540196906.616 * * [misc]simplify: iters left: 2 (105 enodes) 1540196906.632 * * [misc]simplify: iters left: 1 (122 enodes) 1540196906.649 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt n)) 1540196906.649 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196906.649 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196906.649 * * [misc]simplify: iters left: 6 (15 enodes) 1540196906.651 * * [misc]simplify: iters left: 5 (23 enodes) 1540196906.654 * * [misc]simplify: iters left: 4 (40 enodes) 1540196906.661 * * [misc]simplify: iters left: 3 (85 enodes) 1540196906.676 * * [misc]simplify: iters left: 2 (150 enodes) 1540196906.729 * * [misc]simplify: iters left: 1 (234 enodes) 1540196906.797 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196906.797 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196906.797 * * * * [misc]progress: [ 1373 / 6870 ] simplifiying candidate # 1540196906.797 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196906.797 * * [misc]simplify: iters left: 6 (18 enodes) 1540196906.800 * * [misc]simplify: iters left: 5 (32 enodes) 1540196906.804 * * [misc]simplify: iters left: 4 (52 enodes) 1540196906.814 * * [misc]simplify: iters left: 3 (115 enodes) 1540196906.839 * * [misc]simplify: iters left: 2 (256 enodes) 1540196906.919 * * [misc]simplify: iters left: 1 (445 enodes) 1540196907.117 * [exit]simplify: Simplified to (* (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196907.117 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196907.117 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196907.117 * * [misc]simplify: iters left: 6 (18 enodes) 1540196907.120 * * [misc]simplify: iters left: 5 (27 enodes) 1540196907.123 * * [misc]simplify: iters left: 4 (45 enodes) 1540196907.130 * * [misc]simplify: iters left: 3 (90 enodes) 1540196907.146 * * [misc]simplify: iters left: 2 (155 enodes) 1540196907.180 * * [misc]simplify: iters left: 1 (235 enodes) 1540196907.234 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196907.235 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196907.235 * * * * [misc]progress: [ 1374 / 6870 ] simplifiying candidate # 1540196907.235 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196907.235 * * [misc]simplify: iters left: 6 (17 enodes) 1540196907.238 * * [misc]simplify: iters left: 5 (29 enodes) 1540196907.242 * * [misc]simplify: iters left: 4 (42 enodes) 1540196907.248 * * [misc]simplify: iters left: 3 (85 enodes) 1540196907.261 * * [misc]simplify: iters left: 2 (112 enodes) 1540196907.276 * * [misc]simplify: iters left: 1 (138 enodes) 1540196907.297 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196907.297 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196907.297 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196907.297 * * [misc]simplify: iters left: 6 (18 enodes) 1540196907.300 * * [misc]simplify: iters left: 5 (27 enodes) 1540196907.303 * * [misc]simplify: iters left: 4 (45 enodes) 1540196907.310 * * [misc]simplify: iters left: 3 (90 enodes) 1540196907.326 * * [misc]simplify: iters left: 2 (155 enodes) 1540196907.359 * * [misc]simplify: iters left: 1 (235 enodes) 1540196907.412 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196907.412 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196907.412 * * * * [misc]progress: [ 1375 / 6870 ] simplifiying candidate # 1540196907.412 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) 1)) 1540196907.412 * * [misc]simplify: iters left: 6 (11 enodes) 1540196907.416 * * [misc]simplify: iters left: 5 (21 enodes) 1540196907.418 * * [misc]simplify: iters left: 4 (26 enodes) 1540196907.421 * * [misc]simplify: iters left: 3 (30 enodes) 1540196907.424 * * [misc]simplify: iters left: 2 (38 enodes) 1540196907.429 * * [misc]simplify: iters left: 1 (47 enodes) 1540196907.436 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540196907.436 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt n)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196907.436 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196907.436 * * [misc]simplify: iters left: 6 (17 enodes) 1540196907.438 * * [misc]simplify: iters left: 5 (26 enodes) 1540196907.442 * * [misc]simplify: iters left: 4 (44 enodes) 1540196907.449 * * [misc]simplify: iters left: 3 (89 enodes) 1540196907.464 * * [misc]simplify: iters left: 2 (154 enodes) 1540196907.497 * * [misc]simplify: iters left: 1 (234 enodes) 1540196907.551 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540196907.551 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt n)) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))))) 1540196907.551 * * * * [misc]progress: [ 1376 / 6870 ] simplifiying candidate # 1540196907.552 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196907.552 * * [misc]simplify: iters left: 6 (16 enodes) 1540196907.555 * * [misc]simplify: iters left: 5 (27 enodes) 1540196907.559 * * [misc]simplify: iters left: 4 (44 enodes) 1540196907.566 * * [misc]simplify: iters left: 3 (95 enodes) 1540196907.584 * * [misc]simplify: iters left: 2 (186 enodes) 1540196907.641 * * [misc]simplify: iters left: 1 (396 enodes) 1540196907.843 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196907.843 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196907.843 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196907.843 * * [misc]simplify: iters left: 6 (16 enodes) 1540196907.845 * * [misc]simplify: iters left: 5 (24 enodes) 1540196907.850 * * [misc]simplify: iters left: 4 (42 enodes) 1540196907.857 * * [misc]simplify: iters left: 3 (90 enodes) 1540196907.874 * * [misc]simplify: iters left: 2 (177 enodes) 1540196907.914 * * [misc]simplify: iters left: 1 (312 enodes) 1540196908.017 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196908.017 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196908.017 * * * * [misc]progress: [ 1377 / 6870 ] simplifiying candidate # 1540196908.017 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196908.017 * * [misc]simplify: iters left: 6 (16 enodes) 1540196908.020 * * [misc]simplify: iters left: 5 (27 enodes) 1540196908.024 * * [misc]simplify: iters left: 4 (44 enodes) 1540196908.033 * * [misc]simplify: iters left: 3 (95 enodes) 1540196908.050 * * [misc]simplify: iters left: 2 (186 enodes) 1540196908.105 * * [misc]simplify: iters left: 1 (396 enodes) 1540196908.310 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196908.310 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196908.310 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196908.310 * * [misc]simplify: iters left: 6 (16 enodes) 1540196908.312 * * [misc]simplify: iters left: 5 (24 enodes) 1540196908.316 * * [misc]simplify: iters left: 4 (42 enodes) 1540196908.322 * * [misc]simplify: iters left: 3 (90 enodes) 1540196908.341 * * [misc]simplify: iters left: 2 (177 enodes) 1540196908.381 * * [misc]simplify: iters left: 1 (312 enodes) 1540196908.487 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196908.487 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196908.487 * * * * [misc]progress: [ 1378 / 6870 ] simplifiying candidate # 1540196908.487 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196908.487 * * [misc]simplify: iters left: 6 (20 enodes) 1540196908.490 * * [misc]simplify: iters left: 5 (34 enodes) 1540196908.495 * * [misc]simplify: iters left: 4 (60 enodes) 1540196908.505 * * [misc]simplify: iters left: 3 (134 enodes) 1540196908.535 * * [misc]simplify: iters left: 2 (324 enodes) 1540196908.674 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196908.674 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196908.674 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196908.675 * * [misc]simplify: iters left: 6 (19 enodes) 1540196908.677 * * [misc]simplify: iters left: 5 (28 enodes) 1540196908.681 * * [misc]simplify: iters left: 4 (47 enodes) 1540196908.688 * * [misc]simplify: iters left: 3 (95 enodes) 1540196908.705 * * [misc]simplify: iters left: 2 (182 enodes) 1540196908.747 * * [misc]simplify: iters left: 1 (321 enodes) 1540196908.854 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196908.854 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196908.854 * * * * [misc]progress: [ 1379 / 6870 ] simplifiying candidate # 1540196908.854 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196908.854 * * [misc]simplify: iters left: 6 (19 enodes) 1540196908.857 * * [misc]simplify: iters left: 5 (31 enodes) 1540196908.861 * * [misc]simplify: iters left: 4 (51 enodes) 1540196908.870 * * [misc]simplify: iters left: 3 (102 enodes) 1540196908.888 * * [misc]simplify: iters left: 2 (193 enodes) 1540196908.936 * * [misc]simplify: iters left: 1 (440 enodes) 1540196909.183 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196909.183 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196909.183 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196909.183 * * [misc]simplify: iters left: 6 (19 enodes) 1540196909.186 * * [misc]simplify: iters left: 5 (28 enodes) 1540196909.190 * * [misc]simplify: iters left: 4 (47 enodes) 1540196909.197 * * [misc]simplify: iters left: 3 (95 enodes) 1540196909.217 * * [misc]simplify: iters left: 2 (182 enodes) 1540196909.259 * * [misc]simplify: iters left: 1 (321 enodes) 1540196909.368 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196909.369 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196909.369 * * * * [misc]progress: [ 1380 / 6870 ] simplifiying candidate # 1540196909.369 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196909.369 * * [misc]simplify: iters left: 6 (14 enodes) 1540196909.371 * * [misc]simplify: iters left: 5 (24 enodes) 1540196909.375 * * [misc]simplify: iters left: 4 (44 enodes) 1540196909.382 * * [misc]simplify: iters left: 3 (67 enodes) 1540196909.395 * * [misc]simplify: iters left: 2 (108 enodes) 1540196909.420 * * [misc]simplify: iters left: 1 (162 enodes) 1540196909.469 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196909.470 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196909.470 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196909.470 * * [misc]simplify: iters left: 6 (18 enodes) 1540196909.472 * * [misc]simplify: iters left: 5 (27 enodes) 1540196909.476 * * [misc]simplify: iters left: 4 (46 enodes) 1540196909.483 * * [misc]simplify: iters left: 3 (94 enodes) 1540196909.501 * * [misc]simplify: iters left: 2 (181 enodes) 1540196909.544 * * [misc]simplify: iters left: 1 (325 enodes) 1540196909.658 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196909.658 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196909.658 * * * * [misc]progress: [ 1381 / 6870 ] simplifiying candidate # 1540196909.658 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196909.659 * * [misc]simplify: iters left: 6 (12 enodes) 1540196909.661 * * [misc]simplify: iters left: 5 (23 enodes) 1540196909.665 * * [misc]simplify: iters left: 4 (32 enodes) 1540196909.670 * * [misc]simplify: iters left: 3 (62 enodes) 1540196909.680 * * [misc]simplify: iters left: 2 (80 enodes) 1540196909.693 * * [misc]simplify: iters left: 1 (99 enodes) 1540196909.706 * [exit]simplify: Simplified to (* (sqrt 2) (* (sqrt PI) (sqrt n))) 1540196909.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt 2) (* (sqrt PI) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196909.706 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196909.707 * * [misc]simplify: iters left: 6 (15 enodes) 1540196909.709 * * [misc]simplify: iters left: 5 (23 enodes) 1540196909.712 * * [misc]simplify: iters left: 4 (40 enodes) 1540196909.720 * * [misc]simplify: iters left: 3 (85 enodes) 1540196909.736 * * [misc]simplify: iters left: 2 (150 enodes) 1540196909.769 * * [misc]simplify: iters left: 1 (234 enodes) 1540196909.826 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196909.826 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt 2) (* (sqrt PI) (sqrt n))) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196909.826 * * * * [misc]progress: [ 1382 / 6870 ] simplifiying candidate # 1540196909.827 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196909.827 * * [misc]simplify: iters left: 6 (12 enodes) 1540196909.830 * * [misc]simplify: iters left: 5 (23 enodes) 1540196909.834 * * [misc]simplify: iters left: 4 (32 enodes) 1540196909.839 * * [misc]simplify: iters left: 3 (62 enodes) 1540196909.851 * * [misc]simplify: iters left: 2 (80 enodes) 1540196909.863 * * [misc]simplify: iters left: 1 (99 enodes) 1540196909.877 * [exit]simplify: Simplified to (* (sqrt 2) (* (sqrt PI) (sqrt n))) 1540196909.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt 2) (* (sqrt PI) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196909.877 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196909.877 * * [misc]simplify: iters left: 6 (15 enodes) 1540196909.879 * * [misc]simplify: iters left: 5 (23 enodes) 1540196909.883 * * [misc]simplify: iters left: 4 (40 enodes) 1540196909.889 * * [misc]simplify: iters left: 3 (85 enodes) 1540196909.905 * * [misc]simplify: iters left: 2 (150 enodes) 1540196909.939 * * [misc]simplify: iters left: 1 (234 enodes) 1540196909.997 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196909.998 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt 2) (* (sqrt PI) (sqrt n))) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196909.998 * * * * [misc]progress: [ 1383 / 6870 ] simplifiying candidate # 1540196909.998 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196909.998 * * [misc]simplify: iters left: 6 (17 enodes) 1540196910.001 * * [misc]simplify: iters left: 5 (31 enodes) 1540196910.005 * * [misc]simplify: iters left: 4 (49 enodes) 1540196910.013 * * [misc]simplify: iters left: 3 (100 enodes) 1540196910.032 * * [misc]simplify: iters left: 2 (178 enodes) 1540196910.078 * * [misc]simplify: iters left: 1 (289 enodes) 1540196910.201 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (sqrt n))) 1540196910.201 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196910.201 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196910.201 * * [misc]simplify: iters left: 6 (18 enodes) 1540196910.204 * * [misc]simplify: iters left: 5 (27 enodes) 1540196910.208 * * [misc]simplify: iters left: 4 (45 enodes) 1540196910.215 * * [misc]simplify: iters left: 3 (90 enodes) 1540196910.231 * * [misc]simplify: iters left: 2 (155 enodes) 1540196910.265 * * [misc]simplify: iters left: 1 (235 enodes) 1540196910.322 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196910.322 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (sqrt n))) (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196910.322 * * * * [misc]progress: [ 1384 / 6870 ] simplifiying candidate # 1540196910.322 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196910.322 * * [misc]simplify: iters left: 6 (16 enodes) 1540196910.325 * * [misc]simplify: iters left: 5 (28 enodes) 1540196910.329 * * [misc]simplify: iters left: 4 (40 enodes) 1540196910.335 * * [misc]simplify: iters left: 3 (70 enodes) 1540196910.345 * * [misc]simplify: iters left: 2 (88 enodes) 1540196910.358 * * [misc]simplify: iters left: 1 (109 enodes) 1540196910.375 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt n))) 1540196910.375 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196910.375 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196910.375 * * [misc]simplify: iters left: 6 (18 enodes) 1540196910.378 * * [misc]simplify: iters left: 5 (27 enodes) 1540196910.382 * * [misc]simplify: iters left: 4 (45 enodes) 1540196910.389 * * [misc]simplify: iters left: 3 (90 enodes) 1540196910.404 * * [misc]simplify: iters left: 2 (155 enodes) 1540196910.439 * * [misc]simplify: iters left: 1 (235 enodes) 1540196910.494 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196910.494 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt n))) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196910.494 * * * * [misc]progress: [ 1385 / 6870 ] simplifiying candidate # 1540196910.494 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 1)) 1540196910.494 * * [misc]simplify: iters left: 6 (10 enodes) 1540196910.496 * * [misc]simplify: iters left: 5 (18 enodes) 1540196910.499 * * [misc]simplify: iters left: 4 (22 enodes) 1540196910.501 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540196910.501 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt n)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196910.501 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196910.501 * * [misc]simplify: iters left: 6 (17 enodes) 1540196910.505 * * [misc]simplify: iters left: 5 (26 enodes) 1540196910.509 * * [misc]simplify: iters left: 4 (44 enodes) 1540196910.516 * * [misc]simplify: iters left: 3 (89 enodes) 1540196910.532 * * [misc]simplify: iters left: 2 (154 enodes) 1540196910.565 * * [misc]simplify: iters left: 1 (234 enodes) 1540196910.620 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540196910.620 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt n)) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))))) 1540196910.620 * * * * [misc]progress: [ 1386 / 6870 ] simplifiying candidate # 1540196910.620 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1) 1540196910.621 * * [misc]simplify: iters left: 6 (9 enodes) 1540196910.622 * * [misc]simplify: iters left: 5 (17 enodes) 1540196910.625 * * [misc]simplify: iters left: 4 (21 enodes) 1540196910.627 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540196910.627 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt n)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196910.627 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196910.627 * * [misc]simplify: iters left: 6 (17 enodes) 1540196910.630 * * [misc]simplify: iters left: 5 (26 enodes) 1540196910.633 * * [misc]simplify: iters left: 4 (44 enodes) 1540196910.641 * * [misc]simplify: iters left: 3 (89 enodes) 1540196910.657 * * [misc]simplify: iters left: 2 (154 enodes) 1540196910.689 * * [misc]simplify: iters left: 1 (234 enodes) 1540196910.746 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540196910.746 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt n)) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))))) 1540196910.746 * * * * [misc]progress: [ 1387 / 6870 ] simplifiying candidate # 1540196910.746 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (sqrt (sqrt k))) 1540196910.746 * * [misc]simplify: iters left: 6 (12 enodes) 1540196910.748 * * [misc]simplify: iters left: 5 (20 enodes) 1540196910.750 * * [misc]simplify: iters left: 4 (29 enodes) 1540196910.755 * * [misc]simplify: iters left: 3 (59 enodes) 1540196910.764 * * [misc]simplify: iters left: 2 (76 enodes) 1540196910.773 * * [misc]simplify: iters left: 1 (88 enodes) 1540196910.783 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540196910.783 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196910.784 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196910.784 * * [misc]simplify: iters left: 6 (18 enodes) 1540196910.786 * * [misc]simplify: iters left: 5 (29 enodes) 1540196910.790 * * [misc]simplify: iters left: 4 (46 enodes) 1540196910.798 * * [misc]simplify: iters left: 3 (98 enodes) 1540196910.816 * * [misc]simplify: iters left: 2 (205 enodes) 1540196910.883 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (/ (- k) 2)) (sqrt (sqrt k)))) 1540196910.883 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196910.883 * * * * [misc]progress: [ 1388 / 6870 ] simplifiying candidate # 1540196910.883 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196910.884 * * [misc]simplify: iters left: 6 (15 enodes) 1540196910.886 * * [misc]simplify: iters left: 5 (26 enodes) 1540196910.890 * * [misc]simplify: iters left: 4 (43 enodes) 1540196910.898 * * [misc]simplify: iters left: 3 (94 enodes) 1540196910.918 * * [misc]simplify: iters left: 2 (186 enodes) 1540196910.972 * * [misc]simplify: iters left: 1 (389 enodes) 1540196911.186 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt 2)) 1540196911.186 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196911.186 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196911.186 * * [misc]simplify: iters left: 6 (14 enodes) 1540196911.188 * * [misc]simplify: iters left: 5 (20 enodes) 1540196911.191 * * [misc]simplify: iters left: 4 (30 enodes) 1540196911.195 * * [misc]simplify: iters left: 3 (45 enodes) 1540196911.201 * * [misc]simplify: iters left: 2 (62 enodes) 1540196911.211 * * [misc]simplify: iters left: 1 (79 enodes) 1540196911.222 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196911.222 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt 2)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196911.223 * * * * [misc]progress: [ 1389 / 6870 ] simplifiying candidate # 1540196911.223 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196911.223 * * [misc]simplify: iters left: 6 (19 enodes) 1540196911.226 * * [misc]simplify: iters left: 5 (31 enodes) 1540196911.230 * * [misc]simplify: iters left: 4 (51 enodes) 1540196911.238 * * [misc]simplify: iters left: 3 (94 enodes) 1540196911.253 * * [misc]simplify: iters left: 2 (154 enodes) 1540196911.289 * * [misc]simplify: iters left: 1 (270 enodes) 1540196911.364 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (sqrt PI))) 1540196911.364 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196911.365 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196911.365 * * [misc]simplify: iters left: 6 (18 enodes) 1540196911.370 * * [misc]simplify: iters left: 5 (25 enodes) 1540196911.378 * * [misc]simplify: iters left: 4 (36 enodes) 1540196911.383 * * [misc]simplify: iters left: 3 (51 enodes) 1540196911.390 * * [misc]simplify: iters left: 2 (68 enodes) 1540196911.399 * * [misc]simplify: iters left: 1 (85 enodes) 1540196911.411 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196911.411 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196911.411 * * * * [misc]progress: [ 1390 / 6870 ] simplifiying candidate # 1540196911.411 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196911.411 * * [misc]simplify: iters left: 6 (18 enodes) 1540196911.414 * * [misc]simplify: iters left: 5 (28 enodes) 1540196911.417 * * [misc]simplify: iters left: 4 (40 enodes) 1540196911.423 * * [misc]simplify: iters left: 3 (70 enodes) 1540196911.432 * * [misc]simplify: iters left: 2 (86 enodes) 1540196911.443 * * [misc]simplify: iters left: 1 (97 enodes) 1540196911.454 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196911.454 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196911.454 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196911.454 * * [misc]simplify: iters left: 6 (18 enodes) 1540196911.457 * * [misc]simplify: iters left: 5 (25 enodes) 1540196911.460 * * [misc]simplify: iters left: 4 (36 enodes) 1540196911.465 * * [misc]simplify: iters left: 3 (51 enodes) 1540196911.472 * * [misc]simplify: iters left: 2 (68 enodes) 1540196911.481 * * [misc]simplify: iters left: 1 (85 enodes) 1540196911.493 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196911.493 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196911.493 * * * * [misc]progress: [ 1391 / 6870 ] simplifiying candidate # 1540196911.493 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196911.493 * * [misc]simplify: iters left: 6 (17 enodes) 1540196911.496 * * [misc]simplify: iters left: 5 (30 enodes) 1540196911.501 * * [misc]simplify: iters left: 4 (57 enodes) 1540196911.514 * * [misc]simplify: iters left: 3 (156 enodes) 1540196911.552 * * [misc]simplify: iters left: 2 (437 enodes) 1540196911.873 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196911.873 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196911.873 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196911.873 * * [misc]simplify: iters left: 6 (16 enodes) 1540196911.875 * * [misc]simplify: iters left: 5 (24 enodes) 1540196911.879 * * [misc]simplify: iters left: 4 (42 enodes) 1540196911.885 * * [misc]simplify: iters left: 3 (90 enodes) 1540196911.902 * * [misc]simplify: iters left: 2 (177 enodes) 1540196911.942 * * [misc]simplify: iters left: 1 (312 enodes) 1540196912.047 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540196912.047 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))))) 1540196912.047 * * * * [misc]progress: [ 1392 / 6870 ] simplifiying candidate # 1540196912.047 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196912.047 * * [misc]simplify: iters left: 6 (17 enodes) 1540196912.052 * * [misc]simplify: iters left: 5 (30 enodes) 1540196912.056 * * [misc]simplify: iters left: 4 (57 enodes) 1540196912.068 * * [misc]simplify: iters left: 3 (156 enodes) 1540196912.106 * * [misc]simplify: iters left: 2 (437 enodes) 1540196912.429 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196912.429 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196912.430 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196912.430 * * [misc]simplify: iters left: 6 (16 enodes) 1540196912.432 * * [misc]simplify: iters left: 5 (24 enodes) 1540196912.435 * * [misc]simplify: iters left: 4 (42 enodes) 1540196912.442 * * [misc]simplify: iters left: 3 (90 enodes) 1540196912.459 * * [misc]simplify: iters left: 2 (177 enodes) 1540196912.502 * * [misc]simplify: iters left: 1 (312 enodes) 1540196912.609 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540196912.609 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))))) 1540196912.609 * * * * [misc]progress: [ 1393 / 6870 ] simplifiying candidate # 1540196912.610 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196912.610 * * [misc]simplify: iters left: 6 (21 enodes) 1540196912.613 * * [misc]simplify: iters left: 5 (39 enodes) 1540196912.619 * * [misc]simplify: iters left: 4 (89 enodes) 1540196912.639 * * [misc]simplify: iters left: 3 (257 enodes) 1540196912.728 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196912.728 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196912.728 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196912.728 * * [misc]simplify: iters left: 6 (19 enodes) 1540196912.734 * * [misc]simplify: iters left: 5 (28 enodes) 1540196912.737 * * [misc]simplify: iters left: 4 (47 enodes) 1540196912.744 * * [misc]simplify: iters left: 3 (95 enodes) 1540196912.762 * * [misc]simplify: iters left: 2 (182 enodes) 1540196912.803 * * [misc]simplify: iters left: 1 (321 enodes) 1540196912.953 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196912.953 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196912.953 * * * * [misc]progress: [ 1394 / 6870 ] simplifiying candidate # 1540196912.954 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196912.954 * * [misc]simplify: iters left: 6 (20 enodes) 1540196912.957 * * [misc]simplify: iters left: 5 (34 enodes) 1540196912.963 * * [misc]simplify: iters left: 4 (64 enodes) 1540196912.974 * * [misc]simplify: iters left: 3 (163 enodes) 1540196913.012 * * [misc]simplify: iters left: 2 (446 enodes) 1540196913.302 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) 1540196913.302 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196913.302 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196913.302 * * [misc]simplify: iters left: 6 (19 enodes) 1540196913.305 * * [misc]simplify: iters left: 5 (28 enodes) 1540196913.309 * * [misc]simplify: iters left: 4 (47 enodes) 1540196913.316 * * [misc]simplify: iters left: 3 (95 enodes) 1540196913.336 * * [misc]simplify: iters left: 2 (182 enodes) 1540196913.376 * * [misc]simplify: iters left: 1 (321 enodes) 1540196913.484 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196913.484 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196913.484 * * * * [misc]progress: [ 1395 / 6870 ] simplifiying candidate # 1540196913.484 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196913.484 * * [misc]simplify: iters left: 6 (15 enodes) 1540196913.487 * * [misc]simplify: iters left: 5 (27 enodes) 1540196913.491 * * [misc]simplify: iters left: 4 (55 enodes) 1540196913.501 * * [misc]simplify: iters left: 3 (127 enodes) 1540196913.541 * * [misc]simplify: iters left: 2 (344 enodes) 1540196913.698 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt n))) 1540196913.698 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196913.698 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196913.698 * * [misc]simplify: iters left: 6 (18 enodes) 1540196913.701 * * [misc]simplify: iters left: 5 (27 enodes) 1540196913.706 * * [misc]simplify: iters left: 4 (46 enodes) 1540196913.713 * * [misc]simplify: iters left: 3 (94 enodes) 1540196913.731 * * [misc]simplify: iters left: 2 (181 enodes) 1540196913.772 * * [misc]simplify: iters left: 1 (325 enodes) 1540196913.885 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196913.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt n))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196913.885 * * * * [misc]progress: [ 1396 / 6870 ] simplifiying candidate # 1540196913.885 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196913.886 * * [misc]simplify: iters left: 6 (17 enodes) 1540196913.890 * * [misc]simplify: iters left: 5 (29 enodes) 1540196913.894 * * [misc]simplify: iters left: 4 (46 enodes) 1540196913.902 * * [misc]simplify: iters left: 3 (97 enodes) 1540196913.920 * * [misc]simplify: iters left: 2 (166 enodes) 1540196913.960 * * [misc]simplify: iters left: 1 (280 enodes) 1540196914.042 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540196914.042 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196914.042 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196914.042 * * [misc]simplify: iters left: 6 (17 enodes) 1540196914.045 * * [misc]simplify: iters left: 5 (25 enodes) 1540196914.048 * * [misc]simplify: iters left: 4 (43 enodes) 1540196914.054 * * [misc]simplify: iters left: 3 (91 enodes) 1540196914.071 * * [misc]simplify: iters left: 2 (178 enodes) 1540196914.112 * * [misc]simplify: iters left: 1 (316 enodes) 1540196914.221 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540196914.221 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))))) 1540196914.221 * * * * [misc]progress: [ 1397 / 6870 ] simplifiying candidate # 1540196914.221 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196914.221 * * [misc]simplify: iters left: 6 (17 enodes) 1540196914.224 * * [misc]simplify: iters left: 5 (29 enodes) 1540196914.228 * * [misc]simplify: iters left: 4 (46 enodes) 1540196914.236 * * [misc]simplify: iters left: 3 (97 enodes) 1540196914.254 * * [misc]simplify: iters left: 2 (166 enodes) 1540196914.294 * * [misc]simplify: iters left: 1 (280 enodes) 1540196914.397 * [exit]simplify: Simplified to (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) 1540196914.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196914.397 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196914.397 * * [misc]simplify: iters left: 6 (17 enodes) 1540196914.402 * * [misc]simplify: iters left: 5 (25 enodes) 1540196914.408 * * [misc]simplify: iters left: 4 (43 enodes) 1540196914.416 * * [misc]simplify: iters left: 3 (91 enodes) 1540196914.435 * * [misc]simplify: iters left: 2 (178 enodes) 1540196914.474 * * [misc]simplify: iters left: 1 (316 enodes) 1540196914.582 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))) 1540196914.582 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (* (sqrt PI) (sqrt n))) (fabs (cbrt (sqrt k)))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k)))) (pow n (/ (- k) 2))))) 1540196914.582 * * * * [misc]progress: [ 1398 / 6870 ] simplifiying candidate # 1540196914.583 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196914.583 * * [misc]simplify: iters left: 6 (21 enodes) 1540196914.586 * * [misc]simplify: iters left: 5 (36 enodes) 1540196914.590 * * [misc]simplify: iters left: 4 (62 enodes) 1540196914.601 * * [misc]simplify: iters left: 3 (136 enodes) 1540196914.631 * * [misc]simplify: iters left: 2 (287 enodes) 1540196914.733 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196914.733 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196914.733 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196914.733 * * [misc]simplify: iters left: 6 (20 enodes) 1540196914.736 * * [misc]simplify: iters left: 5 (29 enodes) 1540196914.742 * * [misc]simplify: iters left: 4 (48 enodes) 1540196914.749 * * [misc]simplify: iters left: 3 (96 enodes) 1540196914.767 * * [misc]simplify: iters left: 2 (183 enodes) 1540196914.809 * * [misc]simplify: iters left: 1 (326 enodes) 1540196914.919 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))) 1540196914.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))))) 1540196914.920 * * * * [misc]progress: [ 1399 / 6870 ] simplifiying candidate # 1540196914.920 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196914.920 * * [misc]simplify: iters left: 6 (20 enodes) 1540196914.923 * * [misc]simplify: iters left: 5 (33 enodes) 1540196914.928 * * [misc]simplify: iters left: 4 (53 enodes) 1540196914.936 * * [misc]simplify: iters left: 3 (104 enodes) 1540196914.955 * * [misc]simplify: iters left: 2 (177 enodes) 1540196914.993 * * [misc]simplify: iters left: 1 (309 enodes) 1540196915.093 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) 1540196915.093 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196915.093 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196915.093 * * [misc]simplify: iters left: 6 (20 enodes) 1540196915.096 * * [misc]simplify: iters left: 5 (29 enodes) 1540196915.100 * * [misc]simplify: iters left: 4 (48 enodes) 1540196915.107 * * [misc]simplify: iters left: 3 (96 enodes) 1540196915.127 * * [misc]simplify: iters left: 2 (183 enodes) 1540196915.167 * * [misc]simplify: iters left: 1 (326 enodes) 1540196915.279 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))) 1540196915.279 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow n (/ (- k) 2)))))) 1540196915.279 * * * * [misc]progress: [ 1400 / 6870 ] simplifiying candidate # 1540196915.279 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196915.279 * * [misc]simplify: iters left: 6 (15 enodes) 1540196915.281 * * [misc]simplify: iters left: 5 (25 enodes) 1540196915.285 * * [misc]simplify: iters left: 4 (39 enodes) 1540196915.291 * * [misc]simplify: iters left: 3 (71 enodes) 1540196915.310 * * [misc]simplify: iters left: 2 (137 enodes) 1540196915.349 * * [misc]simplify: iters left: 1 (209 enodes) 1540196915.406 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) 1540196915.406 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196915.406 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196915.406 * * [misc]simplify: iters left: 6 (19 enodes) 1540196915.409 * * [misc]simplify: iters left: 5 (28 enodes) 1540196915.413 * * [misc]simplify: iters left: 4 (47 enodes) 1540196915.420 * * [misc]simplify: iters left: 3 (95 enodes) 1540196915.438 * * [misc]simplify: iters left: 2 (182 enodes) 1540196915.478 * * [misc]simplify: iters left: 1 (320 enodes) 1540196915.584 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2))))) 1540196915.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2))))))) 1540196915.585 * * * * [misc]progress: [ 1401 / 6870 ] simplifiying candidate # 1540196915.585 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196915.585 * * [misc]simplify: iters left: 6 (16 enodes) 1540196915.588 * * [misc]simplify: iters left: 5 (27 enodes) 1540196915.592 * * [misc]simplify: iters left: 4 (44 enodes) 1540196915.599 * * [misc]simplify: iters left: 3 (95 enodes) 1540196915.617 * * [misc]simplify: iters left: 2 (186 enodes) 1540196915.672 * * [misc]simplify: iters left: 1 (396 enodes) 1540196915.875 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196915.875 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196915.875 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196915.875 * * [misc]simplify: iters left: 6 (16 enodes) 1540196915.877 * * [misc]simplify: iters left: 5 (24 enodes) 1540196915.880 * * [misc]simplify: iters left: 4 (42 enodes) 1540196915.887 * * [misc]simplify: iters left: 3 (90 enodes) 1540196915.904 * * [misc]simplify: iters left: 2 (177 enodes) 1540196915.945 * * [misc]simplify: iters left: 1 (312 enodes) 1540196916.051 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196916.051 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196916.051 * * * * [misc]progress: [ 1402 / 6870 ] simplifiying candidate # 1540196916.051 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196916.051 * * [misc]simplify: iters left: 6 (16 enodes) 1540196916.054 * * [misc]simplify: iters left: 5 (27 enodes) 1540196916.058 * * [misc]simplify: iters left: 4 (44 enodes) 1540196916.066 * * [misc]simplify: iters left: 3 (95 enodes) 1540196916.083 * * [misc]simplify: iters left: 2 (186 enodes) 1540196916.139 * * [misc]simplify: iters left: 1 (396 enodes) 1540196916.341 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196916.341 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196916.342 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196916.342 * * [misc]simplify: iters left: 6 (16 enodes) 1540196916.344 * * [misc]simplify: iters left: 5 (24 enodes) 1540196916.347 * * [misc]simplify: iters left: 4 (42 enodes) 1540196916.354 * * [misc]simplify: iters left: 3 (90 enodes) 1540196916.371 * * [misc]simplify: iters left: 2 (177 enodes) 1540196916.410 * * [misc]simplify: iters left: 1 (312 enodes) 1540196916.514 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196916.514 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196916.514 * * * * [misc]progress: [ 1403 / 6870 ] simplifiying candidate # 1540196916.514 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196916.514 * * [misc]simplify: iters left: 6 (20 enodes) 1540196916.517 * * [misc]simplify: iters left: 5 (34 enodes) 1540196916.522 * * [misc]simplify: iters left: 4 (60 enodes) 1540196916.534 * * [misc]simplify: iters left: 3 (134 enodes) 1540196916.561 * * [misc]simplify: iters left: 2 (324 enodes) 1540196916.699 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196916.699 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196916.699 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196916.699 * * [misc]simplify: iters left: 6 (19 enodes) 1540196916.702 * * [misc]simplify: iters left: 5 (28 enodes) 1540196916.706 * * [misc]simplify: iters left: 4 (47 enodes) 1540196916.715 * * [misc]simplify: iters left: 3 (95 enodes) 1540196916.732 * * [misc]simplify: iters left: 2 (182 enodes) 1540196916.772 * * [misc]simplify: iters left: 1 (321 enodes) 1540196916.879 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196916.879 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196916.879 * * * * [misc]progress: [ 1404 / 6870 ] simplifiying candidate # 1540196916.879 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196916.879 * * [misc]simplify: iters left: 6 (19 enodes) 1540196916.882 * * [misc]simplify: iters left: 5 (31 enodes) 1540196916.886 * * [misc]simplify: iters left: 4 (51 enodes) 1540196916.893 * * [misc]simplify: iters left: 3 (102 enodes) 1540196916.913 * * [misc]simplify: iters left: 2 (193 enodes) 1540196916.957 * * [misc]simplify: iters left: 1 (440 enodes) 1540196917.197 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196917.197 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196917.198 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196917.198 * * [misc]simplify: iters left: 6 (19 enodes) 1540196917.201 * * [misc]simplify: iters left: 5 (28 enodes) 1540196917.204 * * [misc]simplify: iters left: 4 (47 enodes) 1540196917.212 * * [misc]simplify: iters left: 3 (95 enodes) 1540196917.229 * * [misc]simplify: iters left: 2 (182 enodes) 1540196917.271 * * [misc]simplify: iters left: 1 (321 enodes) 1540196917.377 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196917.377 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196917.377 * * * * [misc]progress: [ 1405 / 6870 ] simplifiying candidate # 1540196917.378 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196917.378 * * [misc]simplify: iters left: 6 (14 enodes) 1540196917.380 * * [misc]simplify: iters left: 5 (24 enodes) 1540196917.383 * * [misc]simplify: iters left: 4 (44 enodes) 1540196917.390 * * [misc]simplify: iters left: 3 (67 enodes) 1540196917.401 * * [misc]simplify: iters left: 2 (108 enodes) 1540196917.425 * * [misc]simplify: iters left: 1 (162 enodes) 1540196917.474 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196917.474 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196917.474 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196917.474 * * [misc]simplify: iters left: 6 (18 enodes) 1540196917.476 * * [misc]simplify: iters left: 5 (27 enodes) 1540196917.480 * * [misc]simplify: iters left: 4 (46 enodes) 1540196917.487 * * [misc]simplify: iters left: 3 (94 enodes) 1540196917.505 * * [misc]simplify: iters left: 2 (181 enodes) 1540196917.546 * * [misc]simplify: iters left: 1 (325 enodes) 1540196917.658 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196917.658 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196917.658 * * * * [misc]progress: [ 1406 / 6870 ] simplifiying candidate # 1540196917.658 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196917.658 * * [misc]simplify: iters left: 6 (13 enodes) 1540196917.661 * * [misc]simplify: iters left: 5 (24 enodes) 1540196917.665 * * [misc]simplify: iters left: 4 (34 enodes) 1540196917.671 * * [misc]simplify: iters left: 3 (77 enodes) 1540196917.684 * * [misc]simplify: iters left: 2 (105 enodes) 1540196917.700 * * [misc]simplify: iters left: 1 (122 enodes) 1540196917.716 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt n)) 1540196917.716 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196917.716 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196917.716 * * [misc]simplify: iters left: 6 (15 enodes) 1540196917.718 * * [misc]simplify: iters left: 5 (23 enodes) 1540196917.722 * * [misc]simplify: iters left: 4 (40 enodes) 1540196917.729 * * [misc]simplify: iters left: 3 (85 enodes) 1540196917.744 * * [misc]simplify: iters left: 2 (150 enodes) 1540196917.777 * * [misc]simplify: iters left: 1 (234 enodes) 1540196917.834 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196917.834 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196917.834 * * * * [misc]progress: [ 1407 / 6870 ] simplifiying candidate # 1540196917.834 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196917.834 * * [misc]simplify: iters left: 6 (13 enodes) 1540196917.837 * * [misc]simplify: iters left: 5 (24 enodes) 1540196917.841 * * [misc]simplify: iters left: 4 (34 enodes) 1540196917.847 * * [misc]simplify: iters left: 3 (77 enodes) 1540196917.860 * * [misc]simplify: iters left: 2 (105 enodes) 1540196917.875 * * [misc]simplify: iters left: 1 (122 enodes) 1540196917.892 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt n)) 1540196917.892 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196917.893 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196917.893 * * [misc]simplify: iters left: 6 (15 enodes) 1540196917.895 * * [misc]simplify: iters left: 5 (23 enodes) 1540196917.898 * * [misc]simplify: iters left: 4 (40 enodes) 1540196917.904 * * [misc]simplify: iters left: 3 (85 enodes) 1540196917.920 * * [misc]simplify: iters left: 2 (150 enodes) 1540196917.953 * * [misc]simplify: iters left: 1 (234 enodes) 1540196918.009 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196918.009 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196918.009 * * * * [misc]progress: [ 1408 / 6870 ] simplifiying candidate # 1540196918.009 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196918.009 * * [misc]simplify: iters left: 6 (18 enodes) 1540196918.012 * * [misc]simplify: iters left: 5 (32 enodes) 1540196918.018 * * [misc]simplify: iters left: 4 (52 enodes) 1540196918.027 * * [misc]simplify: iters left: 3 (115 enodes) 1540196918.052 * * [misc]simplify: iters left: 2 (256 enodes) 1540196918.130 * * [misc]simplify: iters left: 1 (445 enodes) 1540196918.328 * [exit]simplify: Simplified to (* (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196918.328 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196918.328 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196918.328 * * [misc]simplify: iters left: 6 (18 enodes) 1540196918.330 * * [misc]simplify: iters left: 5 (27 enodes) 1540196918.334 * * [misc]simplify: iters left: 4 (45 enodes) 1540196918.341 * * [misc]simplify: iters left: 3 (90 enodes) 1540196918.357 * * [misc]simplify: iters left: 2 (155 enodes) 1540196918.390 * * [misc]simplify: iters left: 1 (235 enodes) 1540196918.444 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196918.444 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (sqrt PI) (sqrt n)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196918.444 * * * * [misc]progress: [ 1409 / 6870 ] simplifiying candidate # 1540196918.444 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196918.444 * * [misc]simplify: iters left: 6 (17 enodes) 1540196918.447 * * [misc]simplify: iters left: 5 (29 enodes) 1540196918.451 * * [misc]simplify: iters left: 4 (42 enodes) 1540196918.459 * * [misc]simplify: iters left: 3 (85 enodes) 1540196918.472 * * [misc]simplify: iters left: 2 (112 enodes) 1540196918.486 * * [misc]simplify: iters left: 1 (138 enodes) 1540196918.506 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196918.507 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196918.507 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196918.507 * * [misc]simplify: iters left: 6 (18 enodes) 1540196918.509 * * [misc]simplify: iters left: 5 (27 enodes) 1540196918.513 * * [misc]simplify: iters left: 4 (45 enodes) 1540196918.520 * * [misc]simplify: iters left: 3 (90 enodes) 1540196918.536 * * [misc]simplify: iters left: 2 (155 enodes) 1540196918.568 * * [misc]simplify: iters left: 1 (235 enodes) 1540196918.623 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196918.623 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196918.623 * * * * [misc]progress: [ 1410 / 6870 ] simplifiying candidate # 1540196918.623 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt 1) 1)) 1540196918.623 * * [misc]simplify: iters left: 6 (11 enodes) 1540196918.626 * * [misc]simplify: iters left: 5 (21 enodes) 1540196918.628 * * [misc]simplify: iters left: 4 (26 enodes) 1540196918.631 * * [misc]simplify: iters left: 3 (30 enodes) 1540196918.634 * * [misc]simplify: iters left: 2 (38 enodes) 1540196918.639 * * [misc]simplify: iters left: 1 (47 enodes) 1540196918.646 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540196918.646 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt n)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196918.646 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196918.646 * * [misc]simplify: iters left: 6 (17 enodes) 1540196918.650 * * [misc]simplify: iters left: 5 (26 enodes) 1540196918.653 * * [misc]simplify: iters left: 4 (44 enodes) 1540196918.660 * * [misc]simplify: iters left: 3 (89 enodes) 1540196918.676 * * [misc]simplify: iters left: 2 (154 enodes) 1540196918.707 * * [misc]simplify: iters left: 1 (234 enodes) 1540196918.762 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540196918.762 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt n)) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))))) 1540196918.763 * * * * [misc]progress: [ 1411 / 6870 ] simplifiying candidate # 1540196918.763 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196918.763 * * [misc]simplify: iters left: 6 (16 enodes) 1540196918.766 * * [misc]simplify: iters left: 5 (27 enodes) 1540196918.770 * * [misc]simplify: iters left: 4 (44 enodes) 1540196918.777 * * [misc]simplify: iters left: 3 (95 enodes) 1540196918.796 * * [misc]simplify: iters left: 2 (186 enodes) 1540196918.851 * * [misc]simplify: iters left: 1 (396 enodes) 1540196919.052 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196919.052 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196919.052 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196919.053 * * [misc]simplify: iters left: 6 (16 enodes) 1540196919.055 * * [misc]simplify: iters left: 5 (24 enodes) 1540196919.058 * * [misc]simplify: iters left: 4 (42 enodes) 1540196919.065 * * [misc]simplify: iters left: 3 (90 enodes) 1540196919.083 * * [misc]simplify: iters left: 2 (177 enodes) 1540196919.122 * * [misc]simplify: iters left: 1 (312 enodes) 1540196919.227 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196919.227 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196919.227 * * * * [misc]progress: [ 1412 / 6870 ] simplifiying candidate # 1540196919.227 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196919.227 * * [misc]simplify: iters left: 6 (16 enodes) 1540196919.230 * * [misc]simplify: iters left: 5 (27 enodes) 1540196919.234 * * [misc]simplify: iters left: 4 (44 enodes) 1540196919.242 * * [misc]simplify: iters left: 3 (95 enodes) 1540196919.259 * * [misc]simplify: iters left: 2 (186 enodes) 1540196919.315 * * [misc]simplify: iters left: 1 (396 enodes) 1540196919.517 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196919.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196919.517 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196919.517 * * [misc]simplify: iters left: 6 (16 enodes) 1540196919.519 * * [misc]simplify: iters left: 5 (24 enodes) 1540196919.522 * * [misc]simplify: iters left: 4 (42 enodes) 1540196919.529 * * [misc]simplify: iters left: 3 (90 enodes) 1540196919.546 * * [misc]simplify: iters left: 2 (177 enodes) 1540196919.586 * * [misc]simplify: iters left: 1 (312 enodes) 1540196919.691 * [exit]simplify: Simplified to (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))) 1540196919.691 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt 2)) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (* (pow n (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))) (sqrt (sqrt (sqrt k)))))) 1540196919.691 * * * * [misc]progress: [ 1413 / 6870 ] simplifiying candidate # 1540196919.692 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196919.692 * * [misc]simplify: iters left: 6 (20 enodes) 1540196919.695 * * [misc]simplify: iters left: 5 (34 enodes) 1540196919.699 * * [misc]simplify: iters left: 4 (60 enodes) 1540196919.709 * * [misc]simplify: iters left: 3 (134 enodes) 1540196919.737 * * [misc]simplify: iters left: 2 (324 enodes) 1540196919.876 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) 1540196919.876 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196919.876 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196919.877 * * [misc]simplify: iters left: 6 (19 enodes) 1540196919.879 * * [misc]simplify: iters left: 5 (28 enodes) 1540196919.883 * * [misc]simplify: iters left: 4 (47 enodes) 1540196919.890 * * [misc]simplify: iters left: 3 (95 enodes) 1540196919.907 * * [misc]simplify: iters left: 2 (182 enodes) 1540196919.948 * * [misc]simplify: iters left: 1 (321 enodes) 1540196920.054 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196920.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (* (sqrt PI) (sqrt n)))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196920.054 * * * * [misc]progress: [ 1414 / 6870 ] simplifiying candidate # 1540196920.054 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196920.054 * * [misc]simplify: iters left: 6 (19 enodes) 1540196920.057 * * [misc]simplify: iters left: 5 (31 enodes) 1540196920.061 * * [misc]simplify: iters left: 4 (51 enodes) 1540196920.069 * * [misc]simplify: iters left: 3 (102 enodes) 1540196920.087 * * [misc]simplify: iters left: 2 (193 enodes) 1540196920.133 * * [misc]simplify: iters left: 1 (440 enodes) 1540196920.372 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196920.372 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196920.372 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196920.373 * * [misc]simplify: iters left: 6 (19 enodes) 1540196920.375 * * [misc]simplify: iters left: 5 (28 enodes) 1540196920.379 * * [misc]simplify: iters left: 4 (47 enodes) 1540196920.386 * * [misc]simplify: iters left: 3 (95 enodes) 1540196920.403 * * [misc]simplify: iters left: 2 (182 enodes) 1540196920.444 * * [misc]simplify: iters left: 1 (321 enodes) 1540196920.552 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196920.552 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow n (/ (- k) 2)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196920.552 * * * * [misc]progress: [ 1415 / 6870 ] simplifiying candidate # 1540196920.552 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196920.552 * * [misc]simplify: iters left: 6 (14 enodes) 1540196920.554 * * [misc]simplify: iters left: 5 (24 enodes) 1540196920.558 * * [misc]simplify: iters left: 4 (44 enodes) 1540196920.564 * * [misc]simplify: iters left: 3 (67 enodes) 1540196920.575 * * [misc]simplify: iters left: 2 (108 enodes) 1540196920.601 * * [misc]simplify: iters left: 1 (162 enodes) 1540196920.648 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) 1540196920.648 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196920.648 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196920.649 * * [misc]simplify: iters left: 6 (18 enodes) 1540196920.651 * * [misc]simplify: iters left: 5 (27 enodes) 1540196920.655 * * [misc]simplify: iters left: 4 (46 enodes) 1540196920.663 * * [misc]simplify: iters left: 3 (94 enodes) 1540196920.680 * * [misc]simplify: iters left: 2 (181 enodes) 1540196920.721 * * [misc]simplify: iters left: 1 (325 enodes) 1540196920.832 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196920.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196920.832 * * * * [misc]progress: [ 1416 / 6870 ] simplifiying candidate # 1540196920.832 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196920.832 * * [misc]simplify: iters left: 6 (12 enodes) 1540196920.835 * * [misc]simplify: iters left: 5 (23 enodes) 1540196920.838 * * [misc]simplify: iters left: 4 (32 enodes) 1540196920.845 * * [misc]simplify: iters left: 3 (62 enodes) 1540196920.855 * * [misc]simplify: iters left: 2 (80 enodes) 1540196920.867 * * [misc]simplify: iters left: 1 (99 enodes) 1540196920.880 * [exit]simplify: Simplified to (* (sqrt 2) (* (sqrt PI) (sqrt n))) 1540196920.880 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt 2) (* (sqrt PI) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196920.880 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196920.880 * * [misc]simplify: iters left: 6 (15 enodes) 1540196920.883 * * [misc]simplify: iters left: 5 (23 enodes) 1540196920.886 * * [misc]simplify: iters left: 4 (40 enodes) 1540196920.892 * * [misc]simplify: iters left: 3 (85 enodes) 1540196920.907 * * [misc]simplify: iters left: 2 (150 enodes) 1540196920.940 * * [misc]simplify: iters left: 1 (234 enodes) 1540196920.996 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196920.996 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt 2) (* (sqrt PI) (sqrt n))) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196920.996 * * * * [misc]progress: [ 1417 / 6870 ] simplifiying candidate # 1540196920.996 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196920.996 * * [misc]simplify: iters left: 6 (12 enodes) 1540196920.999 * * [misc]simplify: iters left: 5 (23 enodes) 1540196921.002 * * [misc]simplify: iters left: 4 (32 enodes) 1540196921.007 * * [misc]simplify: iters left: 3 (62 enodes) 1540196921.017 * * [misc]simplify: iters left: 2 (80 enodes) 1540196921.029 * * [misc]simplify: iters left: 1 (99 enodes) 1540196921.043 * [exit]simplify: Simplified to (* (sqrt 2) (* (sqrt PI) (sqrt n))) 1540196921.043 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt 2) (* (sqrt PI) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196921.043 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196921.044 * * [misc]simplify: iters left: 6 (15 enodes) 1540196921.046 * * [misc]simplify: iters left: 5 (23 enodes) 1540196921.049 * * [misc]simplify: iters left: 4 (40 enodes) 1540196921.055 * * [misc]simplify: iters left: 3 (85 enodes) 1540196921.070 * * [misc]simplify: iters left: 2 (150 enodes) 1540196921.101 * * [misc]simplify: iters left: 1 (234 enodes) 1540196921.157 * [exit]simplify: Simplified to (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1540196921.158 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt 2) (* (sqrt PI) (sqrt n))) (* (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1540196921.158 * * * * [misc]progress: [ 1418 / 6870 ] simplifiying candidate # 1540196921.158 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196921.158 * * [misc]simplify: iters left: 6 (17 enodes) 1540196921.160 * * [misc]simplify: iters left: 5 (31 enodes) 1540196921.165 * * [misc]simplify: iters left: 4 (49 enodes) 1540196921.174 * * [misc]simplify: iters left: 3 (100 enodes) 1540196921.193 * * [misc]simplify: iters left: 2 (178 enodes) 1540196921.237 * * [misc]simplify: iters left: 1 (289 enodes) 1540196921.358 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (sqrt n))) 1540196921.358 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196921.358 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196921.358 * * [misc]simplify: iters left: 6 (18 enodes) 1540196921.361 * * [misc]simplify: iters left: 5 (27 enodes) 1540196921.364 * * [misc]simplify: iters left: 4 (45 enodes) 1540196921.371 * * [misc]simplify: iters left: 3 (90 enodes) 1540196921.387 * * [misc]simplify: iters left: 2 (155 enodes) 1540196921.420 * * [misc]simplify: iters left: 1 (235 enodes) 1540196921.474 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196921.474 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (sqrt n))) (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196921.474 * * * * [misc]progress: [ 1419 / 6870 ] simplifiying candidate # 1540196921.475 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196921.475 * * [misc]simplify: iters left: 6 (16 enodes) 1540196921.477 * * [misc]simplify: iters left: 5 (28 enodes) 1540196921.481 * * [misc]simplify: iters left: 4 (40 enodes) 1540196921.487 * * [misc]simplify: iters left: 3 (70 enodes) 1540196921.497 * * [misc]simplify: iters left: 2 (88 enodes) 1540196921.509 * * [misc]simplify: iters left: 1 (109 enodes) 1540196921.524 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt n))) 1540196921.524 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt n))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196921.525 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196921.525 * * [misc]simplify: iters left: 6 (18 enodes) 1540196921.527 * * [misc]simplify: iters left: 5 (27 enodes) 1540196921.531 * * [misc]simplify: iters left: 4 (45 enodes) 1540196921.538 * * [misc]simplify: iters left: 3 (90 enodes) 1540196921.554 * * [misc]simplify: iters left: 2 (155 enodes) 1540196921.586 * * [misc]simplify: iters left: 1 (235 enodes) 1540196921.641 * [exit]simplify: Simplified to (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))) 1540196921.641 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt n))) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt k) (pow PI (/ (- k) 2)))) (pow n (/ (- k) 2))))) 1540196921.641 * * * * [misc]progress: [ 1420 / 6870 ] simplifiying candidate # 1540196921.641 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ 1 1)) 1540196921.641 * * [misc]simplify: iters left: 6 (10 enodes) 1540196921.643 * * [misc]simplify: iters left: 5 (18 enodes) 1540196921.645 * * [misc]simplify: iters left: 4 (22 enodes) 1540196921.648 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540196921.648 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt n)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196921.648 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196921.648 * * [misc]simplify: iters left: 6 (17 enodes) 1540196921.650 * * [misc]simplify: iters left: 5 (26 enodes) 1540196921.654 * * [misc]simplify: iters left: 4 (44 enodes) 1540196921.661 * * [misc]simplify: iters left: 3 (89 enodes) 1540196921.677 * * [misc]simplify: iters left: 2 (154 enodes) 1540196921.709 * * [misc]simplify: iters left: 1 (234 enodes) 1540196922.071 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540196922.071 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt n)) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))))) 1540196922.071 * * * * [misc]progress: [ 1421 / 6870 ] simplifiying candidate # 1540196922.071 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) 1) 1540196922.072 * * [misc]simplify: iters left: 6 (9 enodes) 1540196922.073 * * [misc]simplify: iters left: 5 (17 enodes) 1540196922.075 * * [misc]simplify: iters left: 4 (21 enodes) 1540196922.077 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt n)) 1540196922.078 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt n)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196922.078 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196922.078 * * [misc]simplify: iters left: 6 (17 enodes) 1540196922.080 * * [misc]simplify: iters left: 5 (26 enodes) 1540196922.084 * * [misc]simplify: iters left: 4 (44 enodes) 1540196922.090 * * [misc]simplify: iters left: 3 (89 enodes) 1540196922.106 * * [misc]simplify: iters left: 2 (154 enodes) 1540196922.139 * * [misc]simplify: iters left: 1 (234 enodes) 1540196922.194 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))) 1540196922.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt n)) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (/ (- k) 2)))))) 1540196922.194 * * * * [misc]progress: [ 1422 / 6870 ] simplifiying candidate # 1540196922.195 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (sqrt (sqrt k))) 1540196922.195 * * [misc]simplify: iters left: 6 (12 enodes) 1540196922.196 * * [misc]simplify: iters left: 5 (20 enodes) 1540196922.199 * * [misc]simplify: iters left: 4 (29 enodes) 1540196922.203 * * [misc]simplify: iters left: 3 (59 enodes) 1540196922.211 * * [misc]simplify: iters left: 2 (76 enodes) 1540196922.220 * * [misc]simplify: iters left: 1 (88 enodes) 1540196922.229 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) 1540196922.230 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196922.230 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196922.230 * * [misc]simplify: iters left: 6 (18 enodes) 1540196922.232 * * [misc]simplify: iters left: 5 (29 enodes) 1540196922.237 * * [misc]simplify: iters left: 4 (46 enodes) 1540196922.245 * * [misc]simplify: iters left: 3 (98 enodes) 1540196922.262 * * [misc]simplify: iters left: 2 (205 enodes) 1540196922.324 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (/ (- k) 2)) (sqrt (sqrt k)))) 1540196922.324 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196922.324 * * * * [misc]progress: [ 1423 / 6870 ] simplifiying candidate # 1540196922.325 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196922.325 * * [misc]simplify: iters left: 6 (15 enodes) 1540196922.328 * * [misc]simplify: iters left: 5 (26 enodes) 1540196922.331 * * [misc]simplify: iters left: 4 (43 enodes) 1540196922.339 * * [misc]simplify: iters left: 3 (94 enodes) 1540196922.356 * * [misc]simplify: iters left: 2 (186 enodes) 1540196922.410 * * [misc]simplify: iters left: 1 (389 enodes) 1540196922.621 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt 2)) 1540196922.621 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196922.621 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196922.622 * * [misc]simplify: iters left: 6 (14 enodes) 1540196922.623 * * [misc]simplify: iters left: 5 (20 enodes) 1540196922.626 * * [misc]simplify: iters left: 4 (30 enodes) 1540196922.630 * * [misc]simplify: iters left: 3 (45 enodes) 1540196922.636 * * [misc]simplify: iters left: 2 (62 enodes) 1540196922.644 * * [misc]simplify: iters left: 1 (79 enodes) 1540196922.655 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196922.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt 2)) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (pow n (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196922.655 * * * * [misc]progress: [ 1424 / 6870 ] simplifiying candidate # 1540196922.656 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196922.656 * * [misc]simplify: iters left: 6 (21 enodes) 1540196922.659 * * [misc]simplify: iters left: 5 (34 enodes) 1540196922.663 * * [misc]simplify: iters left: 4 (58 enodes) 1540196922.675 * * [misc]simplify: iters left: 3 (130 enodes) 1540196922.701 * * [misc]simplify: iters left: 2 (294 enodes) 1540196922.810 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196922.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196922.811 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196922.811 * * [misc]simplify: iters left: 6 (19 enodes) 1540196922.813 * * [misc]simplify: iters left: 5 (26 enodes) 1540196922.817 * * [misc]simplify: iters left: 4 (37 enodes) 1540196922.821 * * [misc]simplify: iters left: 3 (52 enodes) 1540196922.828 * * [misc]simplify: iters left: 2 (69 enodes) 1540196922.837 * * [misc]simplify: iters left: 1 (86 enodes) 1540196922.849 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196922.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196922.849 * * * * [misc]progress: [ 1425 / 6870 ] simplifiying candidate # 1540196922.849 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196922.849 * * [misc]simplify: iters left: 6 (20 enodes) 1540196922.852 * * [misc]simplify: iters left: 5 (31 enodes) 1540196922.856 * * [misc]simplify: iters left: 4 (47 enodes) 1540196922.865 * * [misc]simplify: iters left: 3 (100 enodes) 1540196922.882 * * [misc]simplify: iters left: 2 (174 enodes) 1540196922.911 * * [misc]simplify: iters left: 1 (263 enodes) 1540196922.983 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196922.983 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196922.983 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196922.983 * * [misc]simplify: iters left: 6 (19 enodes) 1540196922.986 * * [misc]simplify: iters left: 5 (26 enodes) 1540196922.989 * * [misc]simplify: iters left: 4 (37 enodes) 1540196922.995 * * [misc]simplify: iters left: 3 (52 enodes) 1540196923.002 * * [misc]simplify: iters left: 2 (69 enodes) 1540196923.011 * * [misc]simplify: iters left: 1 (86 enodes) 1540196923.022 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196923.022 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196923.022 * * * * [misc]progress: [ 1426 / 6870 ] simplifiying candidate # 1540196923.023 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196923.023 * * [misc]simplify: iters left: 6 (21 enodes) 1540196923.027 * * [misc]simplify: iters left: 5 (37 enodes) 1540196923.032 * * [misc]simplify: iters left: 4 (71 enodes) 1540196923.047 * * [misc]simplify: iters left: 3 (209 enodes) 1540196923.127 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) 1540196923.127 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196923.127 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196923.127 * * [misc]simplify: iters left: 6 (19 enodes) 1540196923.130 * * [misc]simplify: iters left: 5 (28 enodes) 1540196923.133 * * [misc]simplify: iters left: 4 (47 enodes) 1540196923.140 * * [misc]simplify: iters left: 3 (95 enodes) 1540196923.158 * * [misc]simplify: iters left: 2 (182 enodes) 1540196923.199 * * [misc]simplify: iters left: 1 (317 enodes) 1540196923.302 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196923.302 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196923.302 * * * * [misc]progress: [ 1427 / 6870 ] simplifiying candidate # 1540196923.303 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196923.303 * * [misc]simplify: iters left: 6 (21 enodes) 1540196923.308 * * [misc]simplify: iters left: 5 (37 enodes) 1540196923.313 * * [misc]simplify: iters left: 4 (71 enodes) 1540196923.328 * * [misc]simplify: iters left: 3 (209 enodes) 1540196923.406 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) 1540196923.406 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196923.406 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196923.406 * * [misc]simplify: iters left: 6 (19 enodes) 1540196923.409 * * [misc]simplify: iters left: 5 (28 enodes) 1540196923.412 * * [misc]simplify: iters left: 4 (47 enodes) 1540196923.419 * * [misc]simplify: iters left: 3 (95 enodes) 1540196923.439 * * [misc]simplify: iters left: 2 (182 enodes) 1540196923.478 * * [misc]simplify: iters left: 1 (317 enodes) 1540196923.583 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196923.583 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196923.583 * * * * [misc]progress: [ 1428 / 6870 ] simplifiying candidate # 1540196923.583 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196923.584 * * [misc]simplify: iters left: 6 (23 enodes) 1540196923.587 * * [misc]simplify: iters left: 5 (42 enodes) 1540196923.593 * * [misc]simplify: iters left: 4 (96 enodes) 1540196923.616 * * [misc]simplify: iters left: 3 (314 enodes) 1540196923.772 * [exit]simplify: Simplified to (* (/ (sqrt PI) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196923.772 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196923.772 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196923.772 * * [misc]simplify: iters left: 6 (20 enodes) 1540196923.775 * * [misc]simplify: iters left: 5 (29 enodes) 1540196923.779 * * [misc]simplify: iters left: 4 (48 enodes) 1540196923.786 * * [misc]simplify: iters left: 3 (96 enodes) 1540196923.803 * * [misc]simplify: iters left: 2 (183 enodes) 1540196923.844 * * [misc]simplify: iters left: 1 (321 enodes) 1540196923.952 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196923.952 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196923.952 * * * * [misc]progress: [ 1429 / 6870 ] simplifiying candidate # 1540196923.952 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196923.952 * * [misc]simplify: iters left: 6 (22 enodes) 1540196923.955 * * [misc]simplify: iters left: 5 (37 enodes) 1540196923.961 * * [misc]simplify: iters left: 4 (71 enodes) 1540196923.975 * * [misc]simplify: iters left: 3 (209 enodes) 1540196924.056 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196924.056 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196924.056 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196924.056 * * [misc]simplify: iters left: 6 (20 enodes) 1540196924.059 * * [misc]simplify: iters left: 5 (29 enodes) 1540196924.065 * * [misc]simplify: iters left: 4 (48 enodes) 1540196924.072 * * [misc]simplify: iters left: 3 (96 enodes) 1540196924.090 * * [misc]simplify: iters left: 2 (183 enodes) 1540196924.130 * * [misc]simplify: iters left: 1 (321 enodes) 1540196924.236 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196924.236 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196924.236 * * * * [misc]progress: [ 1430 / 6870 ] simplifiying candidate # 1540196924.236 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196924.236 * * [misc]simplify: iters left: 6 (20 enodes) 1540196924.239 * * [misc]simplify: iters left: 5 (35 enodes) 1540196924.246 * * [misc]simplify: iters left: 4 (70 enodes) 1540196924.260 * * [misc]simplify: iters left: 3 (178 enodes) 1540196924.347 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196924.347 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196924.348 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196924.348 * * [misc]simplify: iters left: 6 (19 enodes) 1540196924.350 * * [misc]simplify: iters left: 5 (28 enodes) 1540196924.354 * * [misc]simplify: iters left: 4 (47 enodes) 1540196924.361 * * [misc]simplify: iters left: 3 (95 enodes) 1540196924.380 * * [misc]simplify: iters left: 2 (182 enodes) 1540196924.420 * * [misc]simplify: iters left: 1 (317 enodes) 1540196924.525 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196924.525 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196924.525 * * * * [misc]progress: [ 1431 / 6870 ] simplifiying candidate # 1540196924.526 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196924.526 * * [misc]simplify: iters left: 6 (21 enodes) 1540196924.529 * * [misc]simplify: iters left: 5 (36 enodes) 1540196924.535 * * [misc]simplify: iters left: 4 (60 enodes) 1540196924.545 * * [misc]simplify: iters left: 3 (141 enodes) 1540196924.579 * * [misc]simplify: iters left: 2 (314 enodes) 1540196924.698 * [exit]simplify: Simplified to (* (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) 1540196924.698 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196924.699 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196924.699 * * [misc]simplify: iters left: 6 (20 enodes) 1540196924.701 * * [misc]simplify: iters left: 5 (29 enodes) 1540196924.705 * * [misc]simplify: iters left: 4 (48 enodes) 1540196924.712 * * [misc]simplify: iters left: 3 (96 enodes) 1540196924.729 * * [misc]simplify: iters left: 2 (183 enodes) 1540196924.771 * * [misc]simplify: iters left: 1 (321 enodes) 1540196924.878 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))) 1540196924.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))))) 1540196924.878 * * * * [misc]progress: [ 1432 / 6870 ] simplifiying candidate # 1540196924.878 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196924.878 * * [misc]simplify: iters left: 6 (21 enodes) 1540196924.882 * * [misc]simplify: iters left: 5 (36 enodes) 1540196924.887 * * [misc]simplify: iters left: 4 (60 enodes) 1540196924.898 * * [misc]simplify: iters left: 3 (141 enodes) 1540196924.930 * * [misc]simplify: iters left: 2 (314 enodes) 1540196925.048 * [exit]simplify: Simplified to (* (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) 1540196925.048 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196925.048 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196925.048 * * [misc]simplify: iters left: 6 (20 enodes) 1540196925.051 * * [misc]simplify: iters left: 5 (29 enodes) 1540196925.055 * * [misc]simplify: iters left: 4 (48 enodes) 1540196925.064 * * [misc]simplify: iters left: 3 (96 enodes) 1540196925.081 * * [misc]simplify: iters left: 2 (183 enodes) 1540196925.122 * * [misc]simplify: iters left: 1 (321 enodes) 1540196925.227 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))) 1540196925.228 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))))) 1540196925.228 * * * * [misc]progress: [ 1433 / 6870 ] simplifiying candidate # 1540196925.228 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196925.228 * * [misc]simplify: iters left: 6 (23 enodes) 1540196925.231 * * [misc]simplify: iters left: 5 (39 enodes) 1540196925.237 * * [misc]simplify: iters left: 4 (69 enodes) 1540196925.251 * * [misc]simplify: iters left: 3 (173 enodes) 1540196925.299 * * [misc]simplify: iters left: 2 (484 enodes) 1540196925.540 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) 1540196925.540 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196925.540 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196925.540 * * [misc]simplify: iters left: 6 (21 enodes) 1540196925.543 * * [misc]simplify: iters left: 5 (30 enodes) 1540196925.547 * * [misc]simplify: iters left: 4 (49 enodes) 1540196925.556 * * [misc]simplify: iters left: 3 (97 enodes) 1540196925.574 * * [misc]simplify: iters left: 2 (184 enodes) 1540196925.614 * * [misc]simplify: iters left: 1 (321 enodes) 1540196925.720 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196925.720 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196925.720 * * * * [misc]progress: [ 1434 / 6870 ] simplifiying candidate # 1540196925.720 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196925.721 * * [misc]simplify: iters left: 6 (22 enodes) 1540196925.724 * * [misc]simplify: iters left: 5 (36 enodes) 1540196925.729 * * [misc]simplify: iters left: 4 (60 enodes) 1540196925.740 * * [misc]simplify: iters left: 3 (141 enodes) 1540196925.772 * * [misc]simplify: iters left: 2 (315 enodes) 1540196925.883 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196925.883 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196925.883 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196925.883 * * [misc]simplify: iters left: 6 (21 enodes) 1540196925.886 * * [misc]simplify: iters left: 5 (30 enodes) 1540196925.890 * * [misc]simplify: iters left: 4 (49 enodes) 1540196925.898 * * [misc]simplify: iters left: 3 (97 enodes) 1540196925.916 * * [misc]simplify: iters left: 2 (184 enodes) 1540196925.958 * * [misc]simplify: iters left: 1 (321 enodes) 1540196926.064 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196926.064 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196926.064 * * * * [misc]progress: [ 1435 / 6870 ] simplifiying candidate # 1540196926.065 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196926.065 * * [misc]simplify: iters left: 6 (20 enodes) 1540196926.068 * * [misc]simplify: iters left: 5 (33 enodes) 1540196926.072 * * [misc]simplify: iters left: 4 (54 enodes) 1540196926.081 * * [misc]simplify: iters left: 3 (106 enodes) 1540196926.111 * * [misc]simplify: iters left: 2 (264 enodes) 1540196926.267 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540196926.267 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196926.267 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196926.267 * * [misc]simplify: iters left: 6 (20 enodes) 1540196926.270 * * [misc]simplify: iters left: 5 (29 enodes) 1540196926.274 * * [misc]simplify: iters left: 4 (48 enodes) 1540196926.281 * * [misc]simplify: iters left: 3 (96 enodes) 1540196926.300 * * [misc]simplify: iters left: 2 (183 enodes) 1540196926.340 * * [misc]simplify: iters left: 1 (321 enodes) 1540196926.447 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) 1540196926.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1540196926.449 * * * * [misc]progress: [ 1436 / 6870 ] simplifiying candidate # 1540196926.449 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196926.449 * * [misc]simplify: iters left: 6 (20 enodes) 1540196926.456 * * [misc]simplify: iters left: 5 (34 enodes) 1540196926.466 * * [misc]simplify: iters left: 4 (58 enodes) 1540196926.481 * * [misc]simplify: iters left: 3 (139 enodes) 1540196926.516 * * [misc]simplify: iters left: 2 (332 enodes) 1540196926.643 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2)))) 1540196926.643 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196926.643 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196926.643 * * [misc]simplify: iters left: 6 (19 enodes) 1540196926.646 * * [misc]simplify: iters left: 5 (28 enodes) 1540196926.650 * * [misc]simplify: iters left: 4 (47 enodes) 1540196926.657 * * [misc]simplify: iters left: 3 (95 enodes) 1540196926.675 * * [misc]simplify: iters left: 2 (182 enodes) 1540196926.717 * * [misc]simplify: iters left: 1 (317 enodes) 1540196926.823 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196926.823 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196926.823 * * * * [misc]progress: [ 1437 / 6870 ] simplifiying candidate # 1540196926.823 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196926.824 * * [misc]simplify: iters left: 6 (20 enodes) 1540196926.827 * * [misc]simplify: iters left: 5 (34 enodes) 1540196926.833 * * [misc]simplify: iters left: 4 (58 enodes) 1540196926.843 * * [misc]simplify: iters left: 3 (139 enodes) 1540196926.874 * * [misc]simplify: iters left: 2 (332 enodes) 1540196926.998 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2)))) 1540196926.998 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196926.998 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196926.998 * * [misc]simplify: iters left: 6 (19 enodes) 1540196927.003 * * [misc]simplify: iters left: 5 (28 enodes) 1540196927.007 * * [misc]simplify: iters left: 4 (47 enodes) 1540196927.014 * * [misc]simplify: iters left: 3 (95 enodes) 1540196927.032 * * [misc]simplify: iters left: 2 (182 enodes) 1540196927.073 * * [misc]simplify: iters left: 1 (317 enodes) 1540196927.179 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196927.179 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196927.179 * * * * [misc]progress: [ 1438 / 6870 ] simplifiying candidate # 1540196927.180 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196927.180 * * [misc]simplify: iters left: 6 (22 enodes) 1540196927.183 * * [misc]simplify: iters left: 5 (37 enodes) 1540196927.190 * * [misc]simplify: iters left: 4 (67 enodes) 1540196927.203 * * [misc]simplify: iters left: 3 (171 enodes) 1540196927.259 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196927.259 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196927.259 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196927.259 * * [misc]simplify: iters left: 6 (20 enodes) 1540196927.262 * * [misc]simplify: iters left: 5 (29 enodes) 1540196927.266 * * [misc]simplify: iters left: 4 (48 enodes) 1540196927.273 * * [misc]simplify: iters left: 3 (96 enodes) 1540196927.291 * * [misc]simplify: iters left: 2 (183 enodes) 1540196927.332 * * [misc]simplify: iters left: 1 (321 enodes) 1540196927.439 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196927.439 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196927.439 * * * * [misc]progress: [ 1439 / 6870 ] simplifiying candidate # 1540196927.440 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196927.440 * * [misc]simplify: iters left: 6 (21 enodes) 1540196927.444 * * [misc]simplify: iters left: 5 (34 enodes) 1540196927.449 * * [misc]simplify: iters left: 4 (58 enodes) 1540196927.459 * * [misc]simplify: iters left: 3 (139 enodes) 1540196927.490 * * [misc]simplify: iters left: 2 (339 enodes) 1540196927.613 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196927.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196927.613 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196927.613 * * [misc]simplify: iters left: 6 (20 enodes) 1540196927.616 * * [misc]simplify: iters left: 5 (29 enodes) 1540196927.620 * * [misc]simplify: iters left: 4 (48 enodes) 1540196927.627 * * [misc]simplify: iters left: 3 (96 enodes) 1540196927.647 * * [misc]simplify: iters left: 2 (183 enodes) 1540196927.687 * * [misc]simplify: iters left: 1 (321 enodes) 1540196927.796 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196927.797 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196927.797 * * * * [misc]progress: [ 1440 / 6870 ] simplifiying candidate # 1540196927.797 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196927.797 * * [misc]simplify: iters left: 6 (19 enodes) 1540196927.800 * * [misc]simplify: iters left: 5 (32 enodes) 1540196927.805 * * [misc]simplify: iters left: 4 (59 enodes) 1540196927.815 * * [misc]simplify: iters left: 3 (98 enodes) 1540196927.836 * * [misc]simplify: iters left: 2 (228 enodes) 1540196927.949 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196927.949 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196927.949 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196927.949 * * [misc]simplify: iters left: 6 (19 enodes) 1540196927.952 * * [misc]simplify: iters left: 5 (28 enodes) 1540196927.956 * * [misc]simplify: iters left: 4 (47 enodes) 1540196927.963 * * [misc]simplify: iters left: 3 (95 enodes) 1540196927.981 * * [misc]simplify: iters left: 2 (182 enodes) 1540196928.022 * * [misc]simplify: iters left: 1 (317 enodes) 1540196928.129 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196928.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196928.129 * * * * [misc]progress: [ 1441 / 6870 ] simplifiying candidate # 1540196928.129 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196928.129 * * [misc]simplify: iters left: 6 (18 enodes) 1540196928.133 * * [misc]simplify: iters left: 5 (32 enodes) 1540196928.140 * * [misc]simplify: iters left: 4 (50 enodes) 1540196928.149 * * [misc]simplify: iters left: 3 (130 enodes) 1540196928.181 * * [misc]simplify: iters left: 2 (255 enodes) 1540196928.250 * * [misc]simplify: iters left: 1 (465 enodes) 1540196928.473 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt 2) (sqrt PI))) 1540196928.473 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt 2) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196928.473 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196928.473 * * [misc]simplify: iters left: 6 (18 enodes) 1540196928.476 * * [misc]simplify: iters left: 5 (27 enodes) 1540196928.480 * * [misc]simplify: iters left: 4 (45 enodes) 1540196928.487 * * [misc]simplify: iters left: 3 (90 enodes) 1540196928.503 * * [misc]simplify: iters left: 2 (155 enodes) 1540196928.538 * * [misc]simplify: iters left: 1 (239 enodes) 1540196928.596 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196928.596 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt 2) (sqrt PI))) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196928.596 * * * * [misc]progress: [ 1442 / 6870 ] simplifiying candidate # 1540196928.596 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196928.596 * * [misc]simplify: iters left: 6 (18 enodes) 1540196928.600 * * [misc]simplify: iters left: 5 (32 enodes) 1540196928.605 * * [misc]simplify: iters left: 4 (50 enodes) 1540196928.614 * * [misc]simplify: iters left: 3 (130 enodes) 1540196928.647 * * [misc]simplify: iters left: 2 (255 enodes) 1540196928.718 * * [misc]simplify: iters left: 1 (465 enodes) 1540196928.937 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt 2) (sqrt PI))) 1540196928.937 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt 2) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196928.937 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196928.937 * * [misc]simplify: iters left: 6 (18 enodes) 1540196928.940 * * [misc]simplify: iters left: 5 (27 enodes) 1540196928.944 * * [misc]simplify: iters left: 4 (45 enodes) 1540196928.951 * * [misc]simplify: iters left: 3 (90 enodes) 1540196928.969 * * [misc]simplify: iters left: 2 (155 enodes) 1540196929.002 * * [misc]simplify: iters left: 1 (239 enodes) 1540196929.059 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196929.059 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt 2) (sqrt PI))) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196929.059 * * * * [misc]progress: [ 1443 / 6870 ] simplifiying candidate # 1540196929.060 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196929.060 * * [misc]simplify: iters left: 6 (20 enodes) 1540196929.063 * * [misc]simplify: iters left: 5 (35 enodes) 1540196929.068 * * [misc]simplify: iters left: 4 (60 enodes) 1540196929.080 * * [misc]simplify: iters left: 3 (155 enodes) 1540196929.127 * * [misc]simplify: iters left: 2 (411 enodes) 1540196929.331 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196929.331 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196929.331 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196929.331 * * [misc]simplify: iters left: 6 (19 enodes) 1540196929.334 * * [misc]simplify: iters left: 5 (28 enodes) 1540196929.338 * * [misc]simplify: iters left: 4 (46 enodes) 1540196929.347 * * [misc]simplify: iters left: 3 (91 enodes) 1540196929.363 * * [misc]simplify: iters left: 2 (156 enodes) 1540196929.396 * * [misc]simplify: iters left: 1 (239 enodes) 1540196929.453 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196929.453 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196929.454 * * * * [misc]progress: [ 1444 / 6870 ] simplifiying candidate # 1540196929.454 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196929.454 * * [misc]simplify: iters left: 6 (19 enodes) 1540196929.457 * * [misc]simplify: iters left: 5 (32 enodes) 1540196929.462 * * [misc]simplify: iters left: 4 (50 enodes) 1540196929.471 * * [misc]simplify: iters left: 3 (130 enodes) 1540196929.503 * * [misc]simplify: iters left: 2 (249 enodes) 1540196929.564 * * [misc]simplify: iters left: 1 (399 enodes) 1540196929.747 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196929.747 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196929.747 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196929.747 * * [misc]simplify: iters left: 6 (19 enodes) 1540196929.750 * * [misc]simplify: iters left: 5 (28 enodes) 1540196929.753 * * [misc]simplify: iters left: 4 (46 enodes) 1540196929.760 * * [misc]simplify: iters left: 3 (91 enodes) 1540196929.777 * * [misc]simplify: iters left: 2 (156 enodes) 1540196929.811 * * [misc]simplify: iters left: 1 (239 enodes) 1540196929.867 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196929.868 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196929.868 * * * * [misc]progress: [ 1445 / 6870 ] simplifiying candidate # 1540196929.868 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) 1)) 1540196929.868 * * [misc]simplify: iters left: 6 (17 enodes) 1540196929.871 * * [misc]simplify: iters left: 5 (30 enodes) 1540196929.875 * * [misc]simplify: iters left: 4 (41 enodes) 1540196929.880 * * [misc]simplify: iters left: 3 (51 enodes) 1540196929.886 * * [misc]simplify: iters left: 2 (75 enodes) 1540196929.903 * * [misc]simplify: iters left: 1 (118 enodes) 1540196929.932 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt PI)) 1540196929.932 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196929.932 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196929.932 * * [misc]simplify: iters left: 6 (18 enodes) 1540196929.935 * * [misc]simplify: iters left: 5 (27 enodes) 1540196929.938 * * [misc]simplify: iters left: 4 (45 enodes) 1540196929.945 * * [misc]simplify: iters left: 3 (90 enodes) 1540196929.961 * * [misc]simplify: iters left: 2 (155 enodes) 1540196929.995 * * [misc]simplify: iters left: 1 (239 enodes) 1540196930.053 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196930.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt PI)) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196930.053 * * * * [misc]progress: [ 1446 / 6870 ] simplifiying candidate # 1540196930.054 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196930.054 * * [misc]simplify: iters left: 6 (20 enodes) 1540196930.057 * * [misc]simplify: iters left: 5 (34 enodes) 1540196930.063 * * [misc]simplify: iters left: 4 (58 enodes) 1540196930.073 * * [misc]simplify: iters left: 3 (139 enodes) 1540196930.105 * * [misc]simplify: iters left: 2 (332 enodes) 1540196930.231 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2)))) 1540196930.231 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196930.231 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196930.231 * * [misc]simplify: iters left: 6 (19 enodes) 1540196930.236 * * [misc]simplify: iters left: 5 (28 enodes) 1540196930.240 * * [misc]simplify: iters left: 4 (47 enodes) 1540196930.248 * * [misc]simplify: iters left: 3 (95 enodes) 1540196930.266 * * [misc]simplify: iters left: 2 (182 enodes) 1540196930.307 * * [misc]simplify: iters left: 1 (317 enodes) 1540196930.414 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196930.414 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196930.414 * * * * [misc]progress: [ 1447 / 6870 ] simplifiying candidate # 1540196930.414 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196930.414 * * [misc]simplify: iters left: 6 (20 enodes) 1540196930.418 * * [misc]simplify: iters left: 5 (34 enodes) 1540196930.424 * * [misc]simplify: iters left: 4 (58 enodes) 1540196930.435 * * [misc]simplify: iters left: 3 (139 enodes) 1540196930.466 * * [misc]simplify: iters left: 2 (332 enodes) 1540196930.591 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2)))) 1540196930.591 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196930.591 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196930.591 * * [misc]simplify: iters left: 6 (19 enodes) 1540196930.594 * * [misc]simplify: iters left: 5 (28 enodes) 1540196930.598 * * [misc]simplify: iters left: 4 (47 enodes) 1540196930.605 * * [misc]simplify: iters left: 3 (95 enodes) 1540196930.626 * * [misc]simplify: iters left: 2 (182 enodes) 1540196930.666 * * [misc]simplify: iters left: 1 (317 enodes) 1540196930.773 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196930.773 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt 2)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196930.773 * * * * [misc]progress: [ 1448 / 6870 ] simplifiying candidate # 1540196930.774 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196930.774 * * [misc]simplify: iters left: 6 (22 enodes) 1540196930.777 * * [misc]simplify: iters left: 5 (37 enodes) 1540196930.782 * * [misc]simplify: iters left: 4 (67 enodes) 1540196930.795 * * [misc]simplify: iters left: 3 (171 enodes) 1540196930.852 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196930.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196930.852 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196930.852 * * [misc]simplify: iters left: 6 (20 enodes) 1540196930.855 * * [misc]simplify: iters left: 5 (29 enodes) 1540196930.859 * * [misc]simplify: iters left: 4 (48 enodes) 1540196930.867 * * [misc]simplify: iters left: 3 (96 enodes) 1540196930.886 * * [misc]simplify: iters left: 2 (183 enodes) 1540196930.926 * * [misc]simplify: iters left: 1 (321 enodes) 1540196931.035 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196931.035 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196931.035 * * * * [misc]progress: [ 1449 / 6870 ] simplifiying candidate # 1540196931.036 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196931.036 * * [misc]simplify: iters left: 6 (21 enodes) 1540196931.039 * * [misc]simplify: iters left: 5 (34 enodes) 1540196931.044 * * [misc]simplify: iters left: 4 (58 enodes) 1540196931.054 * * [misc]simplify: iters left: 3 (139 enodes) 1540196931.087 * * [misc]simplify: iters left: 2 (339 enodes) 1540196931.211 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196931.211 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196931.211 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196931.211 * * [misc]simplify: iters left: 6 (20 enodes) 1540196931.214 * * [misc]simplify: iters left: 5 (29 enodes) 1540196931.218 * * [misc]simplify: iters left: 4 (48 enodes) 1540196931.225 * * [misc]simplify: iters left: 3 (96 enodes) 1540196931.243 * * [misc]simplify: iters left: 2 (183 enodes) 1540196931.286 * * [misc]simplify: iters left: 1 (321 enodes) 1540196931.395 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196931.395 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196931.395 * * * * [misc]progress: [ 1450 / 6870 ] simplifiying candidate # 1540196931.396 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196931.396 * * [misc]simplify: iters left: 6 (19 enodes) 1540196931.399 * * [misc]simplify: iters left: 5 (32 enodes) 1540196931.404 * * [misc]simplify: iters left: 4 (59 enodes) 1540196931.413 * * [misc]simplify: iters left: 3 (98 enodes) 1540196931.434 * * [misc]simplify: iters left: 2 (228 enodes) 1540196931.546 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196931.546 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196931.546 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196931.546 * * [misc]simplify: iters left: 6 (19 enodes) 1540196931.549 * * [misc]simplify: iters left: 5 (28 enodes) 1540196931.553 * * [misc]simplify: iters left: 4 (47 enodes) 1540196931.560 * * [misc]simplify: iters left: 3 (95 enodes) 1540196931.579 * * [misc]simplify: iters left: 2 (182 enodes) 1540196931.619 * * [misc]simplify: iters left: 1 (317 enodes) 1540196931.727 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196931.727 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540196931.727 * * * * [misc]progress: [ 1451 / 6870 ] simplifiying candidate # 1540196931.727 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196931.727 * * [misc]simplify: iters left: 6 (17 enodes) 1540196931.730 * * [misc]simplify: iters left: 5 (31 enodes) 1540196931.735 * * [misc]simplify: iters left: 4 (47 enodes) 1540196931.744 * * [misc]simplify: iters left: 3 (97 enodes) 1540196931.766 * * [misc]simplify: iters left: 2 (187 enodes) 1540196931.816 * * [misc]simplify: iters left: 1 (325 enodes) 1540196931.949 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196931.949 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196931.949 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196931.949 * * [misc]simplify: iters left: 6 (18 enodes) 1540196931.952 * * [misc]simplify: iters left: 5 (27 enodes) 1540196931.956 * * [misc]simplify: iters left: 4 (45 enodes) 1540196931.963 * * [misc]simplify: iters left: 3 (90 enodes) 1540196931.980 * * [misc]simplify: iters left: 2 (155 enodes) 1540196932.013 * * [misc]simplify: iters left: 1 (239 enodes) 1540196932.070 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196932.070 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196932.070 * * * * [misc]progress: [ 1452 / 6870 ] simplifiying candidate # 1540196932.070 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196932.070 * * [misc]simplify: iters left: 6 (17 enodes) 1540196932.074 * * [misc]simplify: iters left: 5 (31 enodes) 1540196932.080 * * [misc]simplify: iters left: 4 (47 enodes) 1540196932.088 * * [misc]simplify: iters left: 3 (97 enodes) 1540196932.108 * * [misc]simplify: iters left: 2 (187 enodes) 1540196932.160 * * [misc]simplify: iters left: 1 (325 enodes) 1540196932.292 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196932.292 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196932.292 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196932.292 * * [misc]simplify: iters left: 6 (18 enodes) 1540196932.295 * * [misc]simplify: iters left: 5 (27 enodes) 1540196932.299 * * [misc]simplify: iters left: 4 (45 enodes) 1540196932.306 * * [misc]simplify: iters left: 3 (90 enodes) 1540196932.322 * * [misc]simplify: iters left: 2 (155 enodes) 1540196932.356 * * [misc]simplify: iters left: 1 (239 enodes) 1540196932.414 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196932.414 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt 2)) (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196932.414 * * * * [misc]progress: [ 1453 / 6870 ] simplifiying candidate # 1540196932.414 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196932.414 * * [misc]simplify: iters left: 6 (19 enodes) 1540196932.417 * * [misc]simplify: iters left: 5 (34 enodes) 1540196932.422 * * [misc]simplify: iters left: 4 (56 enodes) 1540196932.432 * * [misc]simplify: iters left: 3 (125 enodes) 1540196932.465 * * [misc]simplify: iters left: 2 (322 enodes) 1540196932.614 * [exit]simplify: Simplified to (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540196932.614 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196932.614 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196932.614 * * [misc]simplify: iters left: 6 (19 enodes) 1540196932.617 * * [misc]simplify: iters left: 5 (28 enodes) 1540196932.621 * * [misc]simplify: iters left: 4 (46 enodes) 1540196932.629 * * [misc]simplify: iters left: 3 (91 enodes) 1540196932.645 * * [misc]simplify: iters left: 2 (156 enodes) 1540196932.680 * * [misc]simplify: iters left: 1 (239 enodes) 1540196932.737 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196932.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196932.737 * * * * [misc]progress: [ 1454 / 6870 ] simplifiying candidate # 1540196932.738 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196932.738 * * [misc]simplify: iters left: 6 (18 enodes) 1540196932.740 * * [misc]simplify: iters left: 5 (31 enodes) 1540196932.745 * * [misc]simplify: iters left: 4 (47 enodes) 1540196932.752 * * [misc]simplify: iters left: 3 (97 enodes) 1540196932.772 * * [misc]simplify: iters left: 2 (190 enodes) 1540196932.822 * * [misc]simplify: iters left: 1 (375 enodes) 1540196933.070 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196933.070 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196933.070 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196933.070 * * [misc]simplify: iters left: 6 (19 enodes) 1540196933.075 * * [misc]simplify: iters left: 5 (28 enodes) 1540196933.079 * * [misc]simplify: iters left: 4 (46 enodes) 1540196933.086 * * [misc]simplify: iters left: 3 (91 enodes) 1540196933.102 * * [misc]simplify: iters left: 2 (156 enodes) 1540196933.135 * * [misc]simplify: iters left: 1 (239 enodes) 1540196933.192 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196933.192 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196933.193 * * * * [misc]progress: [ 1455 / 6870 ] simplifiying candidate # 1540196933.193 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 1)) 1540196933.193 * * [misc]simplify: iters left: 6 (16 enodes) 1540196933.195 * * [misc]simplify: iters left: 5 (27 enodes) 1540196933.200 * * [misc]simplify: iters left: 4 (37 enodes) 1540196933.205 * * [misc]simplify: iters left: 3 (43 enodes) 1540196933.210 * * [misc]simplify: iters left: 2 (48 enodes) 1540196933.216 * * [misc]simplify: iters left: 1 (64 enodes) 1540196933.228 * [exit]simplify: Simplified to (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540196933.228 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196933.228 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196933.228 * * [misc]simplify: iters left: 6 (18 enodes) 1540196933.231 * * [misc]simplify: iters left: 5 (27 enodes) 1540196933.235 * * [misc]simplify: iters left: 4 (45 enodes) 1540196933.242 * * [misc]simplify: iters left: 3 (90 enodes) 1540196933.258 * * [misc]simplify: iters left: 2 (155 enodes) 1540196933.293 * * [misc]simplify: iters left: 1 (239 enodes) 1540196933.350 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196933.350 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196933.350 * * * * [misc]progress: [ 1456 / 6870 ] simplifiying candidate # 1540196933.350 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1) 1540196933.350 * * [misc]simplify: iters left: 6 (15 enodes) 1540196933.353 * * [misc]simplify: iters left: 5 (26 enodes) 1540196933.357 * * [misc]simplify: iters left: 4 (38 enodes) 1540196933.361 * * [misc]simplify: iters left: 3 (46 enodes) 1540196933.367 * * [misc]simplify: iters left: 2 (54 enodes) 1540196933.374 * * [misc]simplify: iters left: 1 (82 enodes) 1540196933.389 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196933.389 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196933.389 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196933.389 * * [misc]simplify: iters left: 6 (18 enodes) 1540196933.392 * * [misc]simplify: iters left: 5 (27 enodes) 1540196933.396 * * [misc]simplify: iters left: 4 (45 enodes) 1540196933.403 * * [misc]simplify: iters left: 3 (90 enodes) 1540196933.420 * * [misc]simplify: iters left: 2 (155 enodes) 1540196933.453 * * [misc]simplify: iters left: 1 (239 enodes) 1540196933.509 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196933.509 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196933.510 * * * * [misc]progress: [ 1457 / 6870 ] simplifiying candidate # 1540196933.510 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) 1540196933.510 * * [misc]simplify: iters left: 6 (17 enodes) 1540196933.512 * * [misc]simplify: iters left: 5 (28 enodes) 1540196933.516 * * [misc]simplify: iters left: 4 (44 enodes) 1540196933.523 * * [misc]simplify: iters left: 3 (95 enodes) 1540196933.542 * * [misc]simplify: iters left: 2 (170 enodes) 1540196933.572 * * [misc]simplify: iters left: 1 (311 enodes) 1540196933.699 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540196933.699 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196933.699 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196933.699 * * [misc]simplify: iters left: 6 (19 enodes) 1540196933.702 * * [misc]simplify: iters left: 5 (30 enodes) 1540196933.706 * * [misc]simplify: iters left: 4 (47 enodes) 1540196933.713 * * [misc]simplify: iters left: 3 (99 enodes) 1540196933.732 * * [misc]simplify: iters left: 2 (206 enodes) 1540196933.796 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196933.796 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196933.796 * * * * [misc]progress: [ 1458 / 6870 ] simplifiying candidate # 1540196933.797 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196933.797 * * [misc]simplify: iters left: 6 (19 enodes) 1540196933.800 * * [misc]simplify: iters left: 5 (33 enodes) 1540196933.805 * * [misc]simplify: iters left: 4 (57 enodes) 1540196933.815 * * [misc]simplify: iters left: 3 (138 enodes) 1540196933.847 * * [misc]simplify: iters left: 2 (341 enodes) 1540196933.990 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540196933.990 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196933.990 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196933.990 * * [misc]simplify: iters left: 6 (17 enodes) 1540196933.993 * * [misc]simplify: iters left: 5 (24 enodes) 1540196933.996 * * [misc]simplify: iters left: 4 (35 enodes) 1540196934.001 * * [misc]simplify: iters left: 3 (50 enodes) 1540196934.007 * * [misc]simplify: iters left: 2 (67 enodes) 1540196934.017 * * [misc]simplify: iters left: 1 (84 enodes) 1540196934.028 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) 1540196934.028 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (sqrt 2) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540196934.028 * * * * [misc]progress: [ 1459 / 6870 ] simplifiying candidate # 1540196934.028 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196934.028 * * [misc]simplify: iters left: 6 (20 enodes) 1540196934.031 * * [misc]simplify: iters left: 5 (31 enodes) 1540196934.035 * * [misc]simplify: iters left: 4 (51 enodes) 1540196934.046 * * [misc]simplify: iters left: 3 (94 enodes) 1540196934.061 * * [misc]simplify: iters left: 2 (191 enodes) 1540196934.119 * * [misc]simplify: iters left: 1 (472 enodes) 1540196934.307 * [exit]simplify: Simplified to (/ (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196934.308 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196934.308 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196934.308 * * [misc]simplify: iters left: 6 (19 enodes) 1540196934.310 * * [misc]simplify: iters left: 5 (26 enodes) 1540196934.314 * * [misc]simplify: iters left: 4 (37 enodes) 1540196934.319 * * [misc]simplify: iters left: 3 (52 enodes) 1540196934.325 * * [misc]simplify: iters left: 2 (69 enodes) 1540196934.335 * * [misc]simplify: iters left: 1 (86 enodes) 1540196934.347 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196934.347 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196934.347 * * * * [misc]progress: [ 1460 / 6870 ] simplifiying candidate # 1540196934.347 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196934.347 * * [misc]simplify: iters left: 6 (19 enodes) 1540196934.350 * * [misc]simplify: iters left: 5 (28 enodes) 1540196934.354 * * [misc]simplify: iters left: 4 (40 enodes) 1540196934.360 * * [misc]simplify: iters left: 3 (69 enodes) 1540196934.371 * * [misc]simplify: iters left: 2 (95 enodes) 1540196934.384 * * [misc]simplify: iters left: 1 (136 enodes) 1540196934.404 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196934.404 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196934.404 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196934.404 * * [misc]simplify: iters left: 6 (19 enodes) 1540196934.407 * * [misc]simplify: iters left: 5 (26 enodes) 1540196934.410 * * [misc]simplify: iters left: 4 (37 enodes) 1540196934.415 * * [misc]simplify: iters left: 3 (52 enodes) 1540196934.422 * * [misc]simplify: iters left: 2 (69 enodes) 1540196934.432 * * [misc]simplify: iters left: 1 (86 enodes) 1540196934.444 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196934.444 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196934.444 * * * * [misc]progress: [ 1461 / 6870 ] simplifiying candidate # 1540196934.444 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196934.444 * * [misc]simplify: iters left: 6 (20 enodes) 1540196934.448 * * [misc]simplify: iters left: 5 (34 enodes) 1540196934.454 * * [misc]simplify: iters left: 4 (64 enodes) 1540196934.466 * * [misc]simplify: iters left: 3 (163 enodes) 1540196934.506 * * [misc]simplify: iters left: 2 (490 enodes) 1540196934.924 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k))))) 1540196934.924 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196934.924 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196934.924 * * [misc]simplify: iters left: 6 (19 enodes) 1540196934.927 * * [misc]simplify: iters left: 5 (28 enodes) 1540196934.931 * * [misc]simplify: iters left: 4 (47 enodes) 1540196934.938 * * [misc]simplify: iters left: 3 (95 enodes) 1540196934.955 * * [misc]simplify: iters left: 2 (182 enodes) 1540196934.996 * * [misc]simplify: iters left: 1 (317 enodes) 1540196935.103 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196935.103 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196935.103 * * * * [misc]progress: [ 1462 / 6870 ] simplifiying candidate # 1540196935.103 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196935.103 * * [misc]simplify: iters left: 6 (20 enodes) 1540196935.107 * * [misc]simplify: iters left: 5 (34 enodes) 1540196935.113 * * [misc]simplify: iters left: 4 (64 enodes) 1540196935.125 * * [misc]simplify: iters left: 3 (163 enodes) 1540196935.163 * * [misc]simplify: iters left: 2 (490 enodes) 1540196935.586 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k))))) 1540196935.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196935.587 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196935.587 * * [misc]simplify: iters left: 6 (19 enodes) 1540196935.589 * * [misc]simplify: iters left: 5 (28 enodes) 1540196935.593 * * [misc]simplify: iters left: 4 (47 enodes) 1540196935.601 * * [misc]simplify: iters left: 3 (95 enodes) 1540196935.618 * * [misc]simplify: iters left: 2 (182 enodes) 1540196935.660 * * [misc]simplify: iters left: 1 (317 enodes) 1540196935.765 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196935.765 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196935.765 * * * * [misc]progress: [ 1463 / 6870 ] simplifiying candidate # 1540196935.766 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196935.766 * * [misc]simplify: iters left: 6 (22 enodes) 1540196935.769 * * [misc]simplify: iters left: 5 (39 enodes) 1540196935.777 * * [misc]simplify: iters left: 4 (89 enodes) 1540196935.796 * * [misc]simplify: iters left: 3 (253 enodes) 1540196935.886 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196935.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196935.886 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196935.886 * * [misc]simplify: iters left: 6 (20 enodes) 1540196935.889 * * [misc]simplify: iters left: 5 (29 enodes) 1540196935.893 * * [misc]simplify: iters left: 4 (48 enodes) 1540196935.900 * * [misc]simplify: iters left: 3 (96 enodes) 1540196935.920 * * [misc]simplify: iters left: 2 (183 enodes) 1540196935.959 * * [misc]simplify: iters left: 1 (321 enodes) 1540196936.067 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196936.067 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196936.067 * * * * [misc]progress: [ 1464 / 6870 ] simplifiying candidate # 1540196936.068 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196936.068 * * [misc]simplify: iters left: 6 (21 enodes) 1540196936.071 * * [misc]simplify: iters left: 5 (34 enodes) 1540196936.076 * * [misc]simplify: iters left: 4 (64 enodes) 1540196936.088 * * [misc]simplify: iters left: 3 (163 enodes) 1540196936.127 * * [misc]simplify: iters left: 2 (491 enodes) 1540196936.493 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196936.493 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196936.493 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196936.493 * * [misc]simplify: iters left: 6 (20 enodes) 1540196936.496 * * [misc]simplify: iters left: 5 (29 enodes) 1540196936.500 * * [misc]simplify: iters left: 4 (48 enodes) 1540196936.507 * * [misc]simplify: iters left: 3 (96 enodes) 1540196936.527 * * [misc]simplify: iters left: 2 (183 enodes) 1540196936.568 * * [misc]simplify: iters left: 1 (321 enodes) 1540196936.677 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196936.677 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196936.677 * * * * [misc]progress: [ 1465 / 6870 ] simplifiying candidate # 1540196936.678 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196936.678 * * [misc]simplify: iters left: 6 (19 enodes) 1540196936.680 * * [misc]simplify: iters left: 5 (32 enodes) 1540196936.686 * * [misc]simplify: iters left: 4 (63 enodes) 1540196936.696 * * [misc]simplify: iters left: 3 (114 enodes) 1540196936.725 * * [misc]simplify: iters left: 2 (292 enodes) 1540196936.953 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540196936.953 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196936.954 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196936.954 * * [misc]simplify: iters left: 6 (19 enodes) 1540196936.958 * * [misc]simplify: iters left: 5 (28 enodes) 1540196936.962 * * [misc]simplify: iters left: 4 (47 enodes) 1540196936.970 * * [misc]simplify: iters left: 3 (95 enodes) 1540196936.991 * * [misc]simplify: iters left: 2 (182 enodes) 1540196937.057 * * [misc]simplify: iters left: 1 (317 enodes) 1540196937.225 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196937.225 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196937.225 * * * * [misc]progress: [ 1466 / 6870 ] simplifiying candidate # 1540196937.225 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196937.226 * * [misc]simplify: iters left: 6 (20 enodes) 1540196937.231 * * [misc]simplify: iters left: 5 (33 enodes) 1540196937.240 * * [misc]simplify: iters left: 4 (53 enodes) 1540196937.256 * * [misc]simplify: iters left: 3 (104 enodes) 1540196937.287 * * [misc]simplify: iters left: 2 (233 enodes) 1540196937.420 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196937.420 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196937.420 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196937.421 * * [misc]simplify: iters left: 6 (20 enodes) 1540196937.425 * * [misc]simplify: iters left: 5 (29 enodes) 1540196937.432 * * [misc]simplify: iters left: 4 (48 enodes) 1540196937.444 * * [misc]simplify: iters left: 3 (96 enodes) 1540196937.475 * * [misc]simplify: iters left: 2 (183 enodes) 1540196937.540 * * [misc]simplify: iters left: 1 (321 enodes) 1540196937.671 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))) 1540196937.671 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))))) 1540196937.671 * * * * [misc]progress: [ 1467 / 6870 ] simplifiying candidate # 1540196937.671 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196937.671 * * [misc]simplify: iters left: 6 (20 enodes) 1540196937.675 * * [misc]simplify: iters left: 5 (33 enodes) 1540196937.680 * * [misc]simplify: iters left: 4 (53 enodes) 1540196937.689 * * [misc]simplify: iters left: 3 (104 enodes) 1540196937.710 * * [misc]simplify: iters left: 2 (233 enodes) 1540196937.793 * [exit]simplify: Simplified to (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196937.793 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196937.794 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196937.794 * * [misc]simplify: iters left: 6 (20 enodes) 1540196937.797 * * [misc]simplify: iters left: 5 (29 enodes) 1540196937.801 * * [misc]simplify: iters left: 4 (48 enodes) 1540196937.808 * * [misc]simplify: iters left: 3 (96 enodes) 1540196937.826 * * [misc]simplify: iters left: 2 (183 enodes) 1540196937.868 * * [misc]simplify: iters left: 1 (321 enodes) 1540196937.976 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))) 1540196937.976 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (/ (- k) 2)))))) 1540196937.976 * * * * [misc]progress: [ 1468 / 6870 ] simplifiying candidate # 1540196937.977 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196937.977 * * [misc]simplify: iters left: 6 (22 enodes) 1540196937.980 * * [misc]simplify: iters left: 5 (36 enodes) 1540196937.985 * * [misc]simplify: iters left: 4 (62 enodes) 1540196937.996 * * [misc]simplify: iters left: 3 (136 enodes) 1540196938.027 * * [misc]simplify: iters left: 2 (366 enodes) 1540196938.192 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196938.192 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196938.193 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196938.193 * * [misc]simplify: iters left: 6 (21 enodes) 1540196938.196 * * [misc]simplify: iters left: 5 (30 enodes) 1540196938.200 * * [misc]simplify: iters left: 4 (49 enodes) 1540196938.207 * * [misc]simplify: iters left: 3 (97 enodes) 1540196938.228 * * [misc]simplify: iters left: 2 (184 enodes) 1540196938.268 * * [misc]simplify: iters left: 1 (321 enodes) 1540196938.376 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196938.376 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196938.376 * * * * [misc]progress: [ 1469 / 6870 ] simplifiying candidate # 1540196938.377 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196938.377 * * [misc]simplify: iters left: 6 (21 enodes) 1540196938.380 * * [misc]simplify: iters left: 5 (33 enodes) 1540196938.384 * * [misc]simplify: iters left: 4 (53 enodes) 1540196938.393 * * [misc]simplify: iters left: 3 (104 enodes) 1540196938.412 * * [misc]simplify: iters left: 2 (204 enodes) 1540196938.472 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) 1540196938.472 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196938.472 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196938.472 * * [misc]simplify: iters left: 6 (21 enodes) 1540196938.475 * * [misc]simplify: iters left: 5 (30 enodes) 1540196938.479 * * [misc]simplify: iters left: 4 (49 enodes) 1540196938.487 * * [misc]simplify: iters left: 3 (97 enodes) 1540196938.505 * * [misc]simplify: iters left: 2 (184 enodes) 1540196938.547 * * [misc]simplify: iters left: 1 (321 enodes) 1540196938.654 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196938.654 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (fabs (cbrt (sqrt k))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196938.654 * * * * [misc]progress: [ 1470 / 6870 ] simplifiying candidate # 1540196938.654 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196938.654 * * [misc]simplify: iters left: 6 (19 enodes) 1540196938.657 * * [misc]simplify: iters left: 5 (30 enodes) 1540196938.662 * * [misc]simplify: iters left: 4 (47 enodes) 1540196938.669 * * [misc]simplify: iters left: 3 (79 enodes) 1540196938.686 * * [misc]simplify: iters left: 2 (145 enodes) 1540196938.750 * * [misc]simplify: iters left: 1 (352 enodes) 1540196938.946 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) 1540196938.946 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196938.946 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196938.946 * * [misc]simplify: iters left: 6 (20 enodes) 1540196938.949 * * [misc]simplify: iters left: 5 (29 enodes) 1540196938.953 * * [misc]simplify: iters left: 4 (48 enodes) 1540196938.960 * * [misc]simplify: iters left: 3 (96 enodes) 1540196938.979 * * [misc]simplify: iters left: 2 (183 enodes) 1540196939.020 * * [misc]simplify: iters left: 1 (321 enodes) 1540196939.128 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))) 1540196939.128 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (* (sqrt (sqrt k)) (sqrt (cbrt (sqrt k))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1540196939.128 * * * * [misc]progress: [ 1471 / 6870 ] simplifiying candidate # 1540196939.129 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196939.129 * * [misc]simplify: iters left: 6 (19 enodes) 1540196939.132 * * [misc]simplify: iters left: 5 (31 enodes) 1540196939.137 * * [misc]simplify: iters left: 4 (51 enodes) 1540196939.146 * * [misc]simplify: iters left: 3 (102 enodes) 1540196939.166 * * [misc]simplify: iters left: 2 (232 enodes) 1540196939.255 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196939.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196939.255 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196939.256 * * [misc]simplify: iters left: 6 (19 enodes) 1540196939.258 * * [misc]simplify: iters left: 5 (28 enodes) 1540196939.262 * * [misc]simplify: iters left: 4 (47 enodes) 1540196939.269 * * [misc]simplify: iters left: 3 (95 enodes) 1540196939.287 * * [misc]simplify: iters left: 2 (182 enodes) 1540196939.329 * * [misc]simplify: iters left: 1 (317 enodes) 1540196939.436 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196939.437 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196939.437 * * * * [misc]progress: [ 1472 / 6870 ] simplifiying candidate # 1540196939.437 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196939.437 * * [misc]simplify: iters left: 6 (19 enodes) 1540196939.441 * * [misc]simplify: iters left: 5 (31 enodes) 1540196939.445 * * [misc]simplify: iters left: 4 (51 enodes) 1540196939.453 * * [misc]simplify: iters left: 3 (102 enodes) 1540196939.472 * * [misc]simplify: iters left: 2 (232 enodes) 1540196939.562 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196939.562 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196939.562 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196939.562 * * [misc]simplify: iters left: 6 (19 enodes) 1540196939.565 * * [misc]simplify: iters left: 5 (28 enodes) 1540196939.569 * * [misc]simplify: iters left: 4 (47 enodes) 1540196939.576 * * [misc]simplify: iters left: 3 (95 enodes) 1540196939.594 * * [misc]simplify: iters left: 2 (182 enodes) 1540196939.635 * * [misc]simplify: iters left: 1 (317 enodes) 1540196939.743 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196939.743 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196939.743 * * * * [misc]progress: [ 1473 / 6870 ] simplifiying candidate # 1540196939.744 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196939.744 * * [misc]simplify: iters left: 6 (21 enodes) 1540196939.747 * * [misc]simplify: iters left: 5 (34 enodes) 1540196939.752 * * [misc]simplify: iters left: 4 (60 enodes) 1540196939.762 * * [misc]simplify: iters left: 3 (134 enodes) 1540196939.791 * * [misc]simplify: iters left: 2 (374 enodes) 1540196939.980 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196939.981 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196939.981 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196939.981 * * [misc]simplify: iters left: 6 (20 enodes) 1540196939.984 * * [misc]simplify: iters left: 5 (29 enodes) 1540196939.990 * * [misc]simplify: iters left: 4 (48 enodes) 1540196939.997 * * [misc]simplify: iters left: 3 (96 enodes) 1540196940.015 * * [misc]simplify: iters left: 2 (183 enodes) 1540196940.057 * * [misc]simplify: iters left: 1 (321 enodes) 1540196940.164 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196940.164 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196940.164 * * * * [misc]progress: [ 1474 / 6870 ] simplifiying candidate # 1540196940.165 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196940.165 * * [misc]simplify: iters left: 6 (20 enodes) 1540196940.168 * * [misc]simplify: iters left: 5 (31 enodes) 1540196940.172 * * [misc]simplify: iters left: 4 (51 enodes) 1540196940.181 * * [misc]simplify: iters left: 3 (102 enodes) 1540196940.199 * * [misc]simplify: iters left: 2 (231 enodes) 1540196940.276 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196940.276 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196940.277 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196940.277 * * [misc]simplify: iters left: 6 (20 enodes) 1540196940.279 * * [misc]simplify: iters left: 5 (29 enodes) 1540196940.283 * * [misc]simplify: iters left: 4 (48 enodes) 1540196940.291 * * [misc]simplify: iters left: 3 (96 enodes) 1540196940.310 * * [misc]simplify: iters left: 2 (183 enodes) 1540196940.350 * * [misc]simplify: iters left: 1 (321 enodes) 1540196940.459 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196940.459 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196940.459 * * * * [misc]progress: [ 1475 / 6870 ] simplifiying candidate # 1540196940.460 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196940.460 * * [misc]simplify: iters left: 6 (18 enodes) 1540196940.462 * * [misc]simplify: iters left: 5 (29 enodes) 1540196940.467 * * [misc]simplify: iters left: 4 (52 enodes) 1540196940.474 * * [misc]simplify: iters left: 3 (75 enodes) 1540196940.485 * * [misc]simplify: iters left: 2 (124 enodes) 1540196940.521 * * [misc]simplify: iters left: 1 (219 enodes) 1540196940.619 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196940.619 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196940.620 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196940.620 * * [misc]simplify: iters left: 6 (19 enodes) 1540196940.623 * * [misc]simplify: iters left: 5 (28 enodes) 1540196940.627 * * [misc]simplify: iters left: 4 (47 enodes) 1540196940.635 * * [misc]simplify: iters left: 3 (95 enodes) 1540196940.653 * * [misc]simplify: iters left: 2 (182 enodes) 1540196940.694 * * [misc]simplify: iters left: 1 (317 enodes) 1540196940.799 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196940.799 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196940.799 * * * * [misc]progress: [ 1476 / 6870 ] simplifiying candidate # 1540196940.799 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196940.799 * * [misc]simplify: iters left: 6 (17 enodes) 1540196940.803 * * [misc]simplify: iters left: 5 (29 enodes) 1540196940.807 * * [misc]simplify: iters left: 4 (42 enodes) 1540196940.816 * * [misc]simplify: iters left: 3 (85 enodes) 1540196940.830 * * [misc]simplify: iters left: 2 (119 enodes) 1540196940.848 * * [misc]simplify: iters left: 1 (171 enodes) 1540196940.882 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196940.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196940.882 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196940.882 * * [misc]simplify: iters left: 6 (18 enodes) 1540196940.885 * * [misc]simplify: iters left: 5 (27 enodes) 1540196940.888 * * [misc]simplify: iters left: 4 (45 enodes) 1540196940.895 * * [misc]simplify: iters left: 3 (90 enodes) 1540196940.911 * * [misc]simplify: iters left: 2 (155 enodes) 1540196940.945 * * [misc]simplify: iters left: 1 (239 enodes) 1540196941.001 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196941.001 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196941.002 * * * * [misc]progress: [ 1477 / 6870 ] simplifiying candidate # 1540196941.002 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196941.002 * * [misc]simplify: iters left: 6 (17 enodes) 1540196941.005 * * [misc]simplify: iters left: 5 (29 enodes) 1540196941.011 * * [misc]simplify: iters left: 4 (42 enodes) 1540196941.018 * * [misc]simplify: iters left: 3 (85 enodes) 1540196941.032 * * [misc]simplify: iters left: 2 (119 enodes) 1540196941.050 * * [misc]simplify: iters left: 1 (171 enodes) 1540196941.085 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196941.085 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196941.085 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196941.085 * * [misc]simplify: iters left: 6 (18 enodes) 1540196941.088 * * [misc]simplify: iters left: 5 (27 enodes) 1540196941.092 * * [misc]simplify: iters left: 4 (45 enodes) 1540196941.099 * * [misc]simplify: iters left: 3 (90 enodes) 1540196941.115 * * [misc]simplify: iters left: 2 (155 enodes) 1540196941.149 * * [misc]simplify: iters left: 1 (239 enodes) 1540196941.205 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196941.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196941.205 * * * * [misc]progress: [ 1478 / 6870 ] simplifiying candidate # 1540196941.206 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196941.206 * * [misc]simplify: iters left: 6 (19 enodes) 1540196941.210 * * [misc]simplify: iters left: 5 (32 enodes) 1540196941.214 * * [misc]simplify: iters left: 4 (53 enodes) 1540196941.224 * * [misc]simplify: iters left: 3 (118 enodes) 1540196941.250 * * [misc]simplify: iters left: 2 (259 enodes) 1540196941.339 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196941.339 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196941.340 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196941.340 * * [misc]simplify: iters left: 6 (19 enodes) 1540196941.342 * * [misc]simplify: iters left: 5 (28 enodes) 1540196941.347 * * [misc]simplify: iters left: 4 (46 enodes) 1540196941.354 * * [misc]simplify: iters left: 3 (91 enodes) 1540196941.369 * * [misc]simplify: iters left: 2 (156 enodes) 1540196941.402 * * [misc]simplify: iters left: 1 (239 enodes) 1540196941.459 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196941.459 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196941.459 * * * * [misc]progress: [ 1479 / 6870 ] simplifiying candidate # 1540196941.459 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196941.459 * * [misc]simplify: iters left: 6 (18 enodes) 1540196941.462 * * [misc]simplify: iters left: 5 (29 enodes) 1540196941.467 * * [misc]simplify: iters left: 4 (43 enodes) 1540196941.475 * * [misc]simplify: iters left: 3 (93 enodes) 1540196941.490 * * [misc]simplify: iters left: 2 (124 enodes) 1540196941.507 * * [misc]simplify: iters left: 1 (191 enodes) 1540196941.546 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196941.546 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196941.546 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196941.547 * * [misc]simplify: iters left: 6 (19 enodes) 1540196941.549 * * [misc]simplify: iters left: 5 (28 enodes) 1540196941.553 * * [misc]simplify: iters left: 4 (46 enodes) 1540196941.561 * * [misc]simplify: iters left: 3 (91 enodes) 1540196941.576 * * [misc]simplify: iters left: 2 (156 enodes) 1540196941.610 * * [misc]simplify: iters left: 1 (239 enodes) 1540196941.667 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196941.667 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196941.667 * * * * [misc]progress: [ 1480 / 6870 ] simplifiying candidate # 1540196941.667 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540196941.667 * * [misc]simplify: iters left: 6 (16 enodes) 1540196941.670 * * [misc]simplify: iters left: 5 (27 enodes) 1540196941.674 * * [misc]simplify: iters left: 4 (35 enodes) 1540196941.678 * * [misc]simplify: iters left: 3 (39 enodes) 1540196941.682 * * [misc]simplify: iters left: 2 (49 enodes) 1540196941.689 * * [misc]simplify: iters left: 1 (58 enodes) 1540196941.697 * [exit]simplify: Simplified to (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) 1540196941.697 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196941.697 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196941.697 * * [misc]simplify: iters left: 6 (18 enodes) 1540196941.700 * * [misc]simplify: iters left: 5 (27 enodes) 1540196941.703 * * [misc]simplify: iters left: 4 (45 enodes) 1540196941.710 * * [misc]simplify: iters left: 3 (90 enodes) 1540196941.726 * * [misc]simplify: iters left: 2 (155 enodes) 1540196941.760 * * [misc]simplify: iters left: 1 (239 enodes) 1540196941.817 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196941.817 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196941.817 * * * * [misc]progress: [ 1481 / 6870 ] simplifiying candidate # 1540196941.817 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196941.817 * * [misc]simplify: iters left: 6 (19 enodes) 1540196941.821 * * [misc]simplify: iters left: 5 (31 enodes) 1540196941.826 * * [misc]simplify: iters left: 4 (51 enodes) 1540196941.834 * * [misc]simplify: iters left: 3 (102 enodes) 1540196941.853 * * [misc]simplify: iters left: 2 (232 enodes) 1540196941.943 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196941.943 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196941.943 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196941.944 * * [misc]simplify: iters left: 6 (19 enodes) 1540196941.946 * * [misc]simplify: iters left: 5 (28 enodes) 1540196941.950 * * [misc]simplify: iters left: 4 (47 enodes) 1540196941.958 * * [misc]simplify: iters left: 3 (95 enodes) 1540196941.975 * * [misc]simplify: iters left: 2 (182 enodes) 1540196942.018 * * [misc]simplify: iters left: 1 (317 enodes) 1540196942.126 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196942.126 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196942.126 * * * * [misc]progress: [ 1482 / 6870 ] simplifiying candidate # 1540196942.126 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196942.126 * * [misc]simplify: iters left: 6 (19 enodes) 1540196942.130 * * [misc]simplify: iters left: 5 (31 enodes) 1540196942.135 * * [misc]simplify: iters left: 4 (51 enodes) 1540196942.143 * * [misc]simplify: iters left: 3 (102 enodes) 1540196942.162 * * [misc]simplify: iters left: 2 (232 enodes) 1540196942.251 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196942.251 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196942.251 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196942.251 * * [misc]simplify: iters left: 6 (19 enodes) 1540196942.254 * * [misc]simplify: iters left: 5 (28 enodes) 1540196942.258 * * [misc]simplify: iters left: 4 (47 enodes) 1540196942.265 * * [misc]simplify: iters left: 3 (95 enodes) 1540196942.283 * * [misc]simplify: iters left: 2 (182 enodes) 1540196942.324 * * [misc]simplify: iters left: 1 (317 enodes) 1540196942.430 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196942.430 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196942.430 * * * * [misc]progress: [ 1483 / 6870 ] simplifiying candidate # 1540196942.431 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196942.431 * * [misc]simplify: iters left: 6 (21 enodes) 1540196942.434 * * [misc]simplify: iters left: 5 (34 enodes) 1540196942.439 * * [misc]simplify: iters left: 4 (60 enodes) 1540196942.449 * * [misc]simplify: iters left: 3 (134 enodes) 1540196942.477 * * [misc]simplify: iters left: 2 (374 enodes) 1540196942.667 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196942.667 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196942.667 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196942.667 * * [misc]simplify: iters left: 6 (20 enodes) 1540196942.670 * * [misc]simplify: iters left: 5 (29 enodes) 1540196942.674 * * [misc]simplify: iters left: 4 (48 enodes) 1540196942.682 * * [misc]simplify: iters left: 3 (96 enodes) 1540196942.701 * * [misc]simplify: iters left: 2 (183 enodes) 1540196942.741 * * [misc]simplify: iters left: 1 (321 enodes) 1540196942.851 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196942.851 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196942.851 * * * * [misc]progress: [ 1484 / 6870 ] simplifiying candidate # 1540196942.851 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196942.851 * * [misc]simplify: iters left: 6 (20 enodes) 1540196942.854 * * [misc]simplify: iters left: 5 (31 enodes) 1540196942.858 * * [misc]simplify: iters left: 4 (51 enodes) 1540196942.866 * * [misc]simplify: iters left: 3 (102 enodes) 1540196942.887 * * [misc]simplify: iters left: 2 (231 enodes) 1540196942.964 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196942.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196942.964 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196942.965 * * [misc]simplify: iters left: 6 (20 enodes) 1540196942.967 * * [misc]simplify: iters left: 5 (29 enodes) 1540196942.971 * * [misc]simplify: iters left: 4 (48 enodes) 1540196942.979 * * [misc]simplify: iters left: 3 (96 enodes) 1540196942.996 * * [misc]simplify: iters left: 2 (183 enodes) 1540196943.038 * * [misc]simplify: iters left: 1 (321 enodes) 1540196943.146 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196943.146 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196943.146 * * * * [misc]progress: [ 1485 / 6870 ] simplifiying candidate # 1540196943.146 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196943.146 * * [misc]simplify: iters left: 6 (18 enodes) 1540196943.149 * * [misc]simplify: iters left: 5 (29 enodes) 1540196943.153 * * [misc]simplify: iters left: 4 (52 enodes) 1540196943.160 * * [misc]simplify: iters left: 3 (75 enodes) 1540196943.172 * * [misc]simplify: iters left: 2 (124 enodes) 1540196943.206 * * [misc]simplify: iters left: 1 (219 enodes) 1540196943.302 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196943.302 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196943.302 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196943.303 * * [misc]simplify: iters left: 6 (19 enodes) 1540196943.305 * * [misc]simplify: iters left: 5 (28 enodes) 1540196943.309 * * [misc]simplify: iters left: 4 (47 enodes) 1540196943.316 * * [misc]simplify: iters left: 3 (95 enodes) 1540196943.334 * * [misc]simplify: iters left: 2 (182 enodes) 1540196943.373 * * [misc]simplify: iters left: 1 (317 enodes) 1540196943.478 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196943.478 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540196943.478 * * * * [misc]progress: [ 1486 / 6870 ] simplifiying candidate # 1540196943.479 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196943.479 * * [misc]simplify: iters left: 6 (16 enodes) 1540196943.482 * * [misc]simplify: iters left: 5 (28 enodes) 1540196943.486 * * [misc]simplify: iters left: 4 (40 enodes) 1540196943.493 * * [misc]simplify: iters left: 3 (70 enodes) 1540196943.505 * * [misc]simplify: iters left: 2 (89 enodes) 1540196943.518 * * [misc]simplify: iters left: 1 (137 enodes) 1540196943.543 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196943.543 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196943.543 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196943.544 * * [misc]simplify: iters left: 6 (18 enodes) 1540196943.546 * * [misc]simplify: iters left: 5 (27 enodes) 1540196943.550 * * [misc]simplify: iters left: 4 (45 enodes) 1540196943.557 * * [misc]simplify: iters left: 3 (90 enodes) 1540196943.575 * * [misc]simplify: iters left: 2 (155 enodes) 1540196943.607 * * [misc]simplify: iters left: 1 (239 enodes) 1540196943.665 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196943.665 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196943.665 * * * * [misc]progress: [ 1487 / 6870 ] simplifiying candidate # 1540196943.665 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196943.665 * * [misc]simplify: iters left: 6 (16 enodes) 1540196943.668 * * [misc]simplify: iters left: 5 (28 enodes) 1540196943.673 * * [misc]simplify: iters left: 4 (40 enodes) 1540196943.679 * * [misc]simplify: iters left: 3 (70 enodes) 1540196943.690 * * [misc]simplify: iters left: 2 (89 enodes) 1540196943.705 * * [misc]simplify: iters left: 1 (137 enodes) 1540196943.730 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196943.730 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196943.731 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196943.731 * * [misc]simplify: iters left: 6 (18 enodes) 1540196943.734 * * [misc]simplify: iters left: 5 (27 enodes) 1540196943.737 * * [misc]simplify: iters left: 4 (45 enodes) 1540196943.744 * * [misc]simplify: iters left: 3 (90 enodes) 1540196943.760 * * [misc]simplify: iters left: 2 (155 enodes) 1540196943.794 * * [misc]simplify: iters left: 1 (239 enodes) 1540196943.852 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))) 1540196943.852 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2))))))) 1540196943.852 * * * * [misc]progress: [ 1488 / 6870 ] simplifiying candidate # 1540196943.852 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196943.852 * * [misc]simplify: iters left: 6 (18 enodes) 1540196943.855 * * [misc]simplify: iters left: 5 (31 enodes) 1540196943.859 * * [misc]simplify: iters left: 4 (49 enodes) 1540196943.867 * * [misc]simplify: iters left: 3 (100 enodes) 1540196943.885 * * [misc]simplify: iters left: 2 (178 enodes) 1540196943.932 * * [misc]simplify: iters left: 1 (364 enodes) 1540196944.146 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196944.147 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196944.147 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196944.147 * * [misc]simplify: iters left: 6 (19 enodes) 1540196944.150 * * [misc]simplify: iters left: 5 (28 enodes) 1540196944.154 * * [misc]simplify: iters left: 4 (46 enodes) 1540196944.160 * * [misc]simplify: iters left: 3 (91 enodes) 1540196944.177 * * [misc]simplify: iters left: 2 (156 enodes) 1540196944.212 * * [misc]simplify: iters left: 1 (239 enodes) 1540196944.269 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196944.269 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196944.269 * * * * [misc]progress: [ 1489 / 6870 ] simplifiying candidate # 1540196944.269 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196944.269 * * [misc]simplify: iters left: 6 (17 enodes) 1540196944.273 * * [misc]simplify: iters left: 5 (28 enodes) 1540196944.276 * * [misc]simplify: iters left: 4 (40 enodes) 1540196944.283 * * [misc]simplify: iters left: 3 (70 enodes) 1540196944.293 * * [misc]simplify: iters left: 2 (96 enodes) 1540196944.308 * * [misc]simplify: iters left: 1 (171 enodes) 1540196944.351 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540196944.351 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196944.351 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196944.351 * * [misc]simplify: iters left: 6 (19 enodes) 1540196944.354 * * [misc]simplify: iters left: 5 (28 enodes) 1540196944.358 * * [misc]simplify: iters left: 4 (46 enodes) 1540196944.365 * * [misc]simplify: iters left: 3 (91 enodes) 1540196944.381 * * [misc]simplify: iters left: 2 (156 enodes) 1540196944.415 * * [misc]simplify: iters left: 1 (239 enodes) 1540196944.473 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196944.473 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196944.473 * * * * [misc]progress: [ 1490 / 6870 ] simplifiying candidate # 1540196944.473 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540196944.473 * * [misc]simplify: iters left: 6 (15 enodes) 1540196944.475 * * [misc]simplify: iters left: 5 (24 enodes) 1540196944.479 * * [misc]simplify: iters left: 4 (31 enodes) 1540196944.482 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196944.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196944.483 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196944.483 * * [misc]simplify: iters left: 6 (18 enodes) 1540196944.485 * * [misc]simplify: iters left: 5 (27 enodes) 1540196944.489 * * [misc]simplify: iters left: 4 (45 enodes) 1540196944.496 * * [misc]simplify: iters left: 3 (90 enodes) 1540196944.512 * * [misc]simplify: iters left: 2 (155 enodes) 1540196944.547 * * [misc]simplify: iters left: 1 (239 enodes) 1540196944.604 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196944.604 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196944.604 * * * * [misc]progress: [ 1491 / 6870 ] simplifiying candidate # 1540196944.604 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) 1) 1540196944.604 * * [misc]simplify: iters left: 6 (14 enodes) 1540196944.606 * * [misc]simplify: iters left: 5 (23 enodes) 1540196944.610 * * [misc]simplify: iters left: 4 (30 enodes) 1540196944.613 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196944.613 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196944.613 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196944.613 * * [misc]simplify: iters left: 6 (18 enodes) 1540196944.616 * * [misc]simplify: iters left: 5 (27 enodes) 1540196944.620 * * [misc]simplify: iters left: 4 (45 enodes) 1540196944.627 * * [misc]simplify: iters left: 3 (90 enodes) 1540196944.643 * * [misc]simplify: iters left: 2 (155 enodes) 1540196944.677 * * [misc]simplify: iters left: 1 (239 enodes) 1540196944.734 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1540196944.735 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1540196944.735 * * * * [misc]progress: [ 1492 / 6870 ] simplifiying candidate # 1540196944.735 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540196944.735 * * [misc]simplify: iters left: 6 (16 enodes) 1540196944.737 * * [misc]simplify: iters left: 5 (25 enodes) 1540196944.741 * * [misc]simplify: iters left: 4 (37 enodes) 1540196944.746 * * [misc]simplify: iters left: 3 (67 enodes) 1540196944.756 * * [misc]simplify: iters left: 2 (109 enodes) 1540196944.773 * * [misc]simplify: iters left: 1 (183 enodes) 1540196944.798 * [exit]simplify: Simplified to (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540196944.798 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196944.798 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196944.798 * * [misc]simplify: iters left: 6 (19 enodes) 1540196944.802 * * [misc]simplify: iters left: 5 (30 enodes) 1540196944.806 * * [misc]simplify: iters left: 4 (47 enodes) 1540196944.813 * * [misc]simplify: iters left: 3 (99 enodes) 1540196944.831 * * [misc]simplify: iters left: 2 (206 enodes) 1540196944.895 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196944.895 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow n (- 1/2 (/ k 2))))))) 1540196944.895 * * * * [misc]progress: [ 1493 / 6870 ] simplifiying candidate # 1540196944.896 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196944.896 * * [misc]simplify: iters left: 6 (18 enodes) 1540196944.899 * * [misc]simplify: iters left: 5 (30 enodes) 1540196944.904 * * [misc]simplify: iters left: 4 (50 enodes) 1540196944.912 * * [misc]simplify: iters left: 3 (101 enodes) 1540196944.930 * * [misc]simplify: iters left: 2 (232 enodes) 1540196945.021 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196945.021 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196945.021 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196945.021 * * [misc]simplify: iters left: 6 (17 enodes) 1540196945.024 * * [misc]simplify: iters left: 5 (24 enodes) 1540196945.027 * * [misc]simplify: iters left: 4 (35 enodes) 1540196945.031 * * [misc]simplify: iters left: 3 (50 enodes) 1540196945.038 * * [misc]simplify: iters left: 2 (67 enodes) 1540196945.047 * * [misc]simplify: iters left: 1 (84 enodes) 1540196945.059 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) 1540196945.059 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (* (pow 2 (/ k 2)) (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))))) 1540196945.059 * * * * [misc]progress: [ 1494 / 6870 ] simplifiying candidate # 1540196945.059 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196945.060 * * [misc]simplify: iters left: 6 (17 enodes) 1540196945.064 * * [misc]simplify: iters left: 5 (26 enodes) 1540196945.067 * * [misc]simplify: iters left: 4 (36 enodes) 1540196945.072 * * [misc]simplify: iters left: 3 (51 enodes) 1540196945.078 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196945.078 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196945.078 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196945.078 * * [misc]simplify: iters left: 6 (18 enodes) 1540196945.081 * * [misc]simplify: iters left: 5 (25 enodes) 1540196945.084 * * [misc]simplify: iters left: 4 (36 enodes) 1540196945.089 * * [misc]simplify: iters left: 3 (51 enodes) 1540196945.096 * * [misc]simplify: iters left: 2 (68 enodes) 1540196945.105 * * [misc]simplify: iters left: 1 (85 enodes) 1540196945.117 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196945.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196945.117 * * * * [misc]progress: [ 1495 / 6870 ] simplifiying candidate # 1540196945.117 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196945.117 * * [misc]simplify: iters left: 6 (16 enodes) 1540196945.119 * * [misc]simplify: iters left: 5 (23 enodes) 1540196945.122 * * [misc]simplify: iters left: 4 (29 enodes) 1540196945.126 * * [misc]simplify: iters left: 3 (31 enodes) 1540196945.129 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196945.129 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196945.129 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196945.129 * * [misc]simplify: iters left: 6 (18 enodes) 1540196945.132 * * [misc]simplify: iters left: 5 (25 enodes) 1540196945.136 * * [misc]simplify: iters left: 4 (36 enodes) 1540196945.141 * * [misc]simplify: iters left: 3 (51 enodes) 1540196945.148 * * [misc]simplify: iters left: 2 (68 enodes) 1540196945.157 * * [misc]simplify: iters left: 1 (85 enodes) 1540196945.169 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196945.169 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196945.169 * * * * [misc]progress: [ 1496 / 6870 ] simplifiying candidate # 1540196945.169 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196945.169 * * [misc]simplify: iters left: 6 (15 enodes) 1540196945.172 * * [misc]simplify: iters left: 5 (25 enodes) 1540196945.176 * * [misc]simplify: iters left: 4 (40 enodes) 1540196945.183 * * [misc]simplify: iters left: 3 (76 enodes) 1540196945.197 * * [misc]simplify: iters left: 2 (150 enodes) 1540196945.231 * * [misc]simplify: iters left: 1 (270 enodes) 1540196945.281 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196945.281 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196945.281 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196945.281 * * [misc]simplify: iters left: 6 (18 enodes) 1540196945.284 * * [misc]simplify: iters left: 5 (27 enodes) 1540196945.288 * * [misc]simplify: iters left: 4 (46 enodes) 1540196945.295 * * [misc]simplify: iters left: 3 (94 enodes) 1540196945.312 * * [misc]simplify: iters left: 2 (181 enodes) 1540196945.354 * * [misc]simplify: iters left: 1 (322 enodes) 1540196945.463 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196945.463 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196945.464 * * * * [misc]progress: [ 1497 / 6870 ] simplifiying candidate # 1540196945.464 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196945.464 * * [misc]simplify: iters left: 6 (15 enodes) 1540196945.467 * * [misc]simplify: iters left: 5 (25 enodes) 1540196945.470 * * [misc]simplify: iters left: 4 (40 enodes) 1540196945.477 * * [misc]simplify: iters left: 3 (76 enodes) 1540196945.491 * * [misc]simplify: iters left: 2 (150 enodes) 1540196945.526 * * [misc]simplify: iters left: 1 (270 enodes) 1540196945.574 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196945.574 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196945.574 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196945.574 * * [misc]simplify: iters left: 6 (18 enodes) 1540196945.577 * * [misc]simplify: iters left: 5 (27 enodes) 1540196945.580 * * [misc]simplify: iters left: 4 (46 enodes) 1540196945.587 * * [misc]simplify: iters left: 3 (94 enodes) 1540196945.606 * * [misc]simplify: iters left: 2 (181 enodes) 1540196945.647 * * [misc]simplify: iters left: 1 (322 enodes) 1540196945.758 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196945.758 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196945.758 * * * * [misc]progress: [ 1498 / 6870 ] simplifiying candidate # 1540196945.758 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196945.758 * * [misc]simplify: iters left: 6 (19 enodes) 1540196945.761 * * [misc]simplify: iters left: 5 (34 enodes) 1540196945.766 * * [misc]simplify: iters left: 4 (65 enodes) 1540196945.780 * * [misc]simplify: iters left: 3 (153 enodes) 1540196945.816 * * [misc]simplify: iters left: 2 (432 enodes) 1540196946.070 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196946.070 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196946.070 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196946.070 * * [misc]simplify: iters left: 6 (19 enodes) 1540196946.073 * * [misc]simplify: iters left: 5 (28 enodes) 1540196946.077 * * [misc]simplify: iters left: 4 (47 enodes) 1540196946.084 * * [misc]simplify: iters left: 3 (95 enodes) 1540196946.104 * * [misc]simplify: iters left: 2 (182 enodes) 1540196946.143 * * [misc]simplify: iters left: 1 (322 enodes) 1540196946.250 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196946.250 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196946.250 * * * * [misc]progress: [ 1499 / 6870 ] simplifiying candidate # 1540196946.251 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196946.251 * * [misc]simplify: iters left: 6 (18 enodes) 1540196946.253 * * [misc]simplify: iters left: 5 (29 enodes) 1540196946.257 * * [misc]simplify: iters left: 4 (47 enodes) 1540196946.264 * * [misc]simplify: iters left: 3 (79 enodes) 1540196946.277 * * [misc]simplify: iters left: 2 (152 enodes) 1540196946.312 * * [misc]simplify: iters left: 1 (387 enodes) 1540196946.432 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) 1540196946.432 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196946.433 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196946.433 * * [misc]simplify: iters left: 6 (19 enodes) 1540196946.435 * * [misc]simplify: iters left: 5 (28 enodes) 1540196946.439 * * [misc]simplify: iters left: 4 (47 enodes) 1540196946.446 * * [misc]simplify: iters left: 3 (95 enodes) 1540196946.466 * * [misc]simplify: iters left: 2 (182 enodes) 1540196946.507 * * [misc]simplify: iters left: 1 (322 enodes) 1540196946.616 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196946.617 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196946.617 * * * * [misc]progress: [ 1500 / 6870 ] simplifiying candidate # 1540196946.617 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196946.617 * * [misc]simplify: iters left: 6 (13 enodes) 1540196946.619 * * [misc]simplify: iters left: 5 (22 enodes) 1540196946.623 * * [misc]simplify: iters left: 4 (35 enodes) 1540196946.627 * * [misc]simplify: iters left: 3 (43 enodes) 1540196946.633 * * [misc]simplify: iters left: 2 (61 enodes) 1540196946.645 * * [misc]simplify: iters left: 1 (92 enodes) 1540196946.664 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196946.664 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196946.664 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196946.664 * * [misc]simplify: iters left: 6 (18 enodes) 1540196946.666 * * [misc]simplify: iters left: 5 (27 enodes) 1540196946.670 * * [misc]simplify: iters left: 4 (46 enodes) 1540196946.677 * * [misc]simplify: iters left: 3 (94 enodes) 1540196946.695 * * [misc]simplify: iters left: 2 (181 enodes) 1540196946.736 * * [misc]simplify: iters left: 1 (322 enodes) 1540196946.846 * [exit]simplify: Simplified to (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196946.846 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196946.846 * * * * [misc]progress: [ 1501 / 6870 ] simplifiying candidate # 1540196946.847 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196946.847 * * [misc]simplify: iters left: 6 (15 enodes) 1540196946.850 * * [misc]simplify: iters left: 5 (24 enodes) 1540196946.853 * * [misc]simplify: iters left: 4 (34 enodes) 1540196946.858 * * [misc]simplify: iters left: 3 (42 enodes) 1540196946.863 * * [misc]simplify: iters left: 2 (48 enodes) 1540196946.868 * * [misc]simplify: iters left: 1 (61 enodes) 1540196946.875 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540196946.875 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196946.875 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196946.876 * * [misc]simplify: iters left: 6 (19 enodes) 1540196946.878 * * [misc]simplify: iters left: 5 (28 enodes) 1540196946.882 * * [misc]simplify: iters left: 4 (47 enodes) 1540196946.889 * * [misc]simplify: iters left: 3 (95 enodes) 1540196946.908 * * [misc]simplify: iters left: 2 (182 enodes) 1540196946.948 * * [misc]simplify: iters left: 1 (322 enodes) 1540196947.057 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196947.057 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196947.057 * * * * [misc]progress: [ 1502 / 6870 ] simplifiying candidate # 1540196947.057 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196947.057 * * [misc]simplify: iters left: 6 (15 enodes) 1540196947.060 * * [misc]simplify: iters left: 5 (24 enodes) 1540196947.064 * * [misc]simplify: iters left: 4 (34 enodes) 1540196947.070 * * [misc]simplify: iters left: 3 (42 enodes) 1540196947.075 * * [misc]simplify: iters left: 2 (48 enodes) 1540196947.080 * * [misc]simplify: iters left: 1 (61 enodes) 1540196947.087 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) 1540196947.087 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196947.088 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196947.088 * * [misc]simplify: iters left: 6 (19 enodes) 1540196947.090 * * [misc]simplify: iters left: 5 (28 enodes) 1540196947.094 * * [misc]simplify: iters left: 4 (47 enodes) 1540196947.103 * * [misc]simplify: iters left: 3 (95 enodes) 1540196947.121 * * [misc]simplify: iters left: 2 (182 enodes) 1540196947.162 * * [misc]simplify: iters left: 1 (322 enodes) 1540196947.270 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196947.270 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196947.270 * * * * [misc]progress: [ 1503 / 6870 ] simplifiying candidate # 1540196947.270 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196947.270 * * [misc]simplify: iters left: 6 (19 enodes) 1540196947.273 * * [misc]simplify: iters left: 5 (31 enodes) 1540196947.277 * * [misc]simplify: iters left: 4 (47 enodes) 1540196947.286 * * [misc]simplify: iters left: 3 (73 enodes) 1540196947.297 * * [misc]simplify: iters left: 2 (116 enodes) 1540196947.318 * * [misc]simplify: iters left: 1 (237 enodes) 1540196947.415 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196947.415 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196947.415 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196947.415 * * [misc]simplify: iters left: 6 (20 enodes) 1540196947.418 * * [misc]simplify: iters left: 5 (29 enodes) 1540196947.423 * * [misc]simplify: iters left: 4 (48 enodes) 1540196947.430 * * [misc]simplify: iters left: 3 (96 enodes) 1540196947.448 * * [misc]simplify: iters left: 2 (183 enodes) 1540196947.490 * * [misc]simplify: iters left: 1 (327 enodes) 1540196947.603 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196947.603 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (fabs (cbrt (sqrt k))) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196947.603 * * * * [misc]progress: [ 1504 / 6870 ] simplifiying candidate # 1540196947.603 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196947.603 * * [misc]simplify: iters left: 6 (18 enodes) 1540196947.606 * * [misc]simplify: iters left: 5 (28 enodes) 1540196947.609 * * [misc]simplify: iters left: 4 (41 enodes) 1540196947.615 * * [misc]simplify: iters left: 3 (49 enodes) 1540196947.620 * * [misc]simplify: iters left: 2 (60 enodes) 1540196947.627 * * [misc]simplify: iters left: 1 (94 enodes) 1540196947.639 * [exit]simplify: Simplified to (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196947.639 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196947.639 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196947.640 * * [misc]simplify: iters left: 6 (20 enodes) 1540196947.642 * * [misc]simplify: iters left: 5 (29 enodes) 1540196947.646 * * [misc]simplify: iters left: 4 (48 enodes) 1540196947.653 * * [misc]simplify: iters left: 3 (96 enodes) 1540196947.672 * * [misc]simplify: iters left: 2 (183 enodes) 1540196947.712 * * [misc]simplify: iters left: 1 (327 enodes) 1540196947.825 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196947.825 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196947.825 * * * * [misc]progress: [ 1505 / 6870 ] simplifiying candidate # 1540196947.825 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196947.825 * * [misc]simplify: iters left: 6 (13 enodes) 1540196947.827 * * [misc]simplify: iters left: 5 (20 enodes) 1540196947.830 * * [misc]simplify: iters left: 4 (26 enodes) 1540196947.833 * * [misc]simplify: iters left: 3 (34 enodes) 1540196947.838 * * [misc]simplify: iters left: 2 (44 enodes) 1540196947.843 * * [misc]simplify: iters left: 1 (55 enodes) 1540196947.854 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540196947.854 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196947.854 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196947.854 * * [misc]simplify: iters left: 6 (19 enodes) 1540196947.856 * * [misc]simplify: iters left: 5 (28 enodes) 1540196947.860 * * [misc]simplify: iters left: 4 (47 enodes) 1540196947.867 * * [misc]simplify: iters left: 3 (95 enodes) 1540196947.885 * * [misc]simplify: iters left: 2 (182 enodes) 1540196947.927 * * [misc]simplify: iters left: 1 (322 enodes) 1540196948.035 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196948.035 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196948.035 * * * * [misc]progress: [ 1506 / 6870 ] simplifiying candidate # 1540196948.035 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196948.035 * * [misc]simplify: iters left: 6 (14 enodes) 1540196948.039 * * [misc]simplify: iters left: 5 (22 enodes) 1540196948.043 * * [misc]simplify: iters left: 4 (32 enodes) 1540196948.048 * * [misc]simplify: iters left: 3 (43 enodes) 1540196948.053 * * [misc]simplify: iters left: 2 (51 enodes) 1540196948.058 * * [misc]simplify: iters left: 1 (62 enodes) 1540196948.065 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196948.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196948.066 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196948.066 * * [misc]simplify: iters left: 6 (18 enodes) 1540196948.068 * * [misc]simplify: iters left: 5 (27 enodes) 1540196948.072 * * [misc]simplify: iters left: 4 (46 enodes) 1540196948.079 * * [misc]simplify: iters left: 3 (94 enodes) 1540196948.097 * * [misc]simplify: iters left: 2 (181 enodes) 1540196948.138 * * [misc]simplify: iters left: 1 (322 enodes) 1540196948.248 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196948.248 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196948.248 * * * * [misc]progress: [ 1507 / 6870 ] simplifiying candidate # 1540196948.249 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196948.249 * * [misc]simplify: iters left: 6 (14 enodes) 1540196948.251 * * [misc]simplify: iters left: 5 (22 enodes) 1540196948.255 * * [misc]simplify: iters left: 4 (32 enodes) 1540196948.260 * * [misc]simplify: iters left: 3 (43 enodes) 1540196948.265 * * [misc]simplify: iters left: 2 (51 enodes) 1540196948.270 * * [misc]simplify: iters left: 1 (62 enodes) 1540196948.277 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196948.277 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196948.277 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196948.277 * * [misc]simplify: iters left: 6 (18 enodes) 1540196948.280 * * [misc]simplify: iters left: 5 (27 enodes) 1540196948.283 * * [misc]simplify: iters left: 4 (46 enodes) 1540196948.290 * * [misc]simplify: iters left: 3 (94 enodes) 1540196948.309 * * [misc]simplify: iters left: 2 (181 enodes) 1540196948.349 * * [misc]simplify: iters left: 1 (322 enodes) 1540196948.460 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196948.460 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196948.460 * * * * [misc]progress: [ 1508 / 6870 ] simplifiying candidate # 1540196948.460 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196948.460 * * [misc]simplify: iters left: 6 (18 enodes) 1540196948.463 * * [misc]simplify: iters left: 5 (29 enodes) 1540196948.467 * * [misc]simplify: iters left: 4 (45 enodes) 1540196948.474 * * [misc]simplify: iters left: 3 (79 enodes) 1540196948.488 * * [misc]simplify: iters left: 2 (169 enodes) 1540196948.535 * * [misc]simplify: iters left: 1 (445 enodes) 1540196948.743 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196948.743 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196948.743 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196948.743 * * [misc]simplify: iters left: 6 (19 enodes) 1540196948.746 * * [misc]simplify: iters left: 5 (28 enodes) 1540196948.750 * * [misc]simplify: iters left: 4 (47 enodes) 1540196948.757 * * [misc]simplify: iters left: 3 (95 enodes) 1540196948.774 * * [misc]simplify: iters left: 2 (182 enodes) 1540196948.816 * * [misc]simplify: iters left: 1 (322 enodes) 1540196948.923 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196948.923 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196948.924 * * * * [misc]progress: [ 1509 / 6870 ] simplifiying candidate # 1540196948.924 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196948.924 * * [misc]simplify: iters left: 6 (17 enodes) 1540196948.926 * * [misc]simplify: iters left: 5 (26 enodes) 1540196948.930 * * [misc]simplify: iters left: 4 (39 enodes) 1540196948.935 * * [misc]simplify: iters left: 3 (49 enodes) 1540196948.940 * * [misc]simplify: iters left: 2 (62 enodes) 1540196948.948 * * [misc]simplify: iters left: 1 (106 enodes) 1540196948.963 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196948.963 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196948.963 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196948.963 * * [misc]simplify: iters left: 6 (19 enodes) 1540196948.966 * * [misc]simplify: iters left: 5 (28 enodes) 1540196948.970 * * [misc]simplify: iters left: 4 (47 enodes) 1540196948.977 * * [misc]simplify: iters left: 3 (95 enodes) 1540196948.995 * * [misc]simplify: iters left: 2 (182 enodes) 1540196949.035 * * [misc]simplify: iters left: 1 (322 enodes) 1540196949.143 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196949.143 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196949.143 * * * * [misc]progress: [ 1510 / 6870 ] simplifiying candidate # 1540196949.144 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196949.144 * * [misc]simplify: iters left: 6 (12 enodes) 1540196949.145 * * [misc]simplify: iters left: 5 (19 enodes) 1540196949.148 * * [misc]simplify: iters left: 4 (27 enodes) 1540196949.152 * * [misc]simplify: iters left: 3 (31 enodes) 1540196949.155 * * [misc]simplify: iters left: 2 (37 enodes) 1540196949.159 * * [misc]simplify: iters left: 1 (44 enodes) 1540196949.165 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196949.165 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196949.165 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196949.165 * * [misc]simplify: iters left: 6 (18 enodes) 1540196949.169 * * [misc]simplify: iters left: 5 (27 enodes) 1540196949.173 * * [misc]simplify: iters left: 4 (46 enodes) 1540196949.180 * * [misc]simplify: iters left: 3 (94 enodes) 1540196949.197 * * [misc]simplify: iters left: 2 (181 enodes) 1540196949.238 * * [misc]simplify: iters left: 1 (322 enodes) 1540196949.346 * [exit]simplify: Simplified to (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196949.346 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196949.347 * * * * [misc]progress: [ 1511 / 6870 ] simplifiying candidate # 1540196949.347 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt 1) (pow 2 1/2))) 1540196949.347 * * [misc]simplify: iters left: 6 (11 enodes) 1540196949.351 * * [misc]simplify: iters left: 5 (19 enodes) 1540196949.354 * * [misc]simplify: iters left: 4 (24 enodes) 1540196949.357 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540196949.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196949.357 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196949.357 * * [misc]simplify: iters left: 6 (17 enodes) 1540196949.360 * * [misc]simplify: iters left: 5 (26 enodes) 1540196949.364 * * [misc]simplify: iters left: 4 (44 enodes) 1540196949.370 * * [misc]simplify: iters left: 3 (89 enodes) 1540196949.386 * * [misc]simplify: iters left: 2 (154 enodes) 1540196949.420 * * [misc]simplify: iters left: 1 (238 enodes) 1540196949.477 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540196949.477 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1540196949.477 * * * * [misc]progress: [ 1512 / 6870 ] simplifiying candidate # 1540196949.477 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt 1) (pow 2 1/2))) 1540196949.477 * * [misc]simplify: iters left: 6 (11 enodes) 1540196949.481 * * [misc]simplify: iters left: 5 (19 enodes) 1540196949.484 * * [misc]simplify: iters left: 4 (24 enodes) 1540196949.487 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540196949.487 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196949.487 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196949.487 * * [misc]simplify: iters left: 6 (17 enodes) 1540196949.489 * * [misc]simplify: iters left: 5 (26 enodes) 1540196949.493 * * [misc]simplify: iters left: 4 (44 enodes) 1540196949.500 * * [misc]simplify: iters left: 3 (89 enodes) 1540196949.516 * * [misc]simplify: iters left: 2 (154 enodes) 1540196949.549 * * [misc]simplify: iters left: 1 (238 enodes) 1540196949.606 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540196949.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1540196949.606 * * * * [misc]progress: [ 1513 / 6870 ] simplifiying candidate # 1540196949.606 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196949.606 * * [misc]simplify: iters left: 6 (16 enodes) 1540196949.610 * * [misc]simplify: iters left: 5 (27 enodes) 1540196949.614 * * [misc]simplify: iters left: 4 (39 enodes) 1540196949.619 * * [misc]simplify: iters left: 3 (53 enodes) 1540196949.625 * * [misc]simplify: iters left: 2 (73 enodes) 1540196949.635 * * [misc]simplify: iters left: 1 (128 enodes) 1540196949.660 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196949.660 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196949.660 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196949.660 * * [misc]simplify: iters left: 6 (18 enodes) 1540196949.663 * * [misc]simplify: iters left: 5 (27 enodes) 1540196949.666 * * [misc]simplify: iters left: 4 (45 enodes) 1540196949.673 * * [misc]simplify: iters left: 3 (90 enodes) 1540196949.690 * * [misc]simplify: iters left: 2 (155 enodes) 1540196949.722 * * [misc]simplify: iters left: 1 (239 enodes) 1540196949.780 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540196949.780 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1540196949.780 * * * * [misc]progress: [ 1514 / 6870 ] simplifiying candidate # 1540196949.780 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196949.780 * * [misc]simplify: iters left: 6 (15 enodes) 1540196949.783 * * [misc]simplify: iters left: 5 (24 enodes) 1540196949.786 * * [misc]simplify: iters left: 4 (31 enodes) 1540196949.789 * * [misc]simplify: iters left: 3 (32 enodes) 1540196949.792 * * [misc]simplify: iters left: 2 (34 enodes) 1540196949.796 * * [misc]simplify: iters left: 1 (39 enodes) 1540196949.800 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) 1540196949.800 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196949.800 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196949.800 * * [misc]simplify: iters left: 6 (18 enodes) 1540196949.802 * * [misc]simplify: iters left: 5 (27 enodes) 1540196949.806 * * [misc]simplify: iters left: 4 (45 enodes) 1540196949.814 * * [misc]simplify: iters left: 3 (90 enodes) 1540196949.830 * * [misc]simplify: iters left: 2 (155 enodes) 1540196949.862 * * [misc]simplify: iters left: 1 (239 enodes) 1540196949.919 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540196949.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1540196949.920 * * * * [misc]progress: [ 1515 / 6870 ] simplifiying candidate # 1540196949.920 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt 1) 1)) 1540196949.920 * * [misc]simplify: iters left: 6 (9 enodes) 1540196949.922 * * [misc]simplify: iters left: 5 (16 enodes) 1540196949.924 * [exit]simplify: Simplified to (sqrt PI) 1540196949.924 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196949.924 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196949.924 * * [misc]simplify: iters left: 6 (17 enodes) 1540196949.926 * * [misc]simplify: iters left: 5 (26 enodes) 1540196949.930 * * [misc]simplify: iters left: 4 (44 enodes) 1540196949.938 * * [misc]simplify: iters left: 3 (89 enodes) 1540196949.954 * * [misc]simplify: iters left: 2 (154 enodes) 1540196949.986 * * [misc]simplify: iters left: 1 (238 enodes) 1540196950.044 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196950.044 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196950.044 * * * * [misc]progress: [ 1516 / 6870 ] simplifiying candidate # 1540196950.044 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196950.044 * * [misc]simplify: iters left: 6 (14 enodes) 1540196950.047 * * [misc]simplify: iters left: 5 (22 enodes) 1540196950.050 * * [misc]simplify: iters left: 4 (32 enodes) 1540196950.055 * * [misc]simplify: iters left: 3 (43 enodes) 1540196950.060 * * [misc]simplify: iters left: 2 (51 enodes) 1540196950.066 * * [misc]simplify: iters left: 1 (62 enodes) 1540196950.074 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196950.074 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196950.074 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196950.074 * * [misc]simplify: iters left: 6 (18 enodes) 1540196950.077 * * [misc]simplify: iters left: 5 (27 enodes) 1540196950.080 * * [misc]simplify: iters left: 4 (46 enodes) 1540196950.087 * * [misc]simplify: iters left: 3 (94 enodes) 1540196950.104 * * [misc]simplify: iters left: 2 (181 enodes) 1540196950.145 * * [misc]simplify: iters left: 1 (322 enodes) 1540196950.254 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196950.254 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196950.254 * * * * [misc]progress: [ 1517 / 6870 ] simplifiying candidate # 1540196950.254 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196950.254 * * [misc]simplify: iters left: 6 (14 enodes) 1540196950.257 * * [misc]simplify: iters left: 5 (22 enodes) 1540196950.260 * * [misc]simplify: iters left: 4 (32 enodes) 1540196950.265 * * [misc]simplify: iters left: 3 (43 enodes) 1540196950.270 * * [misc]simplify: iters left: 2 (51 enodes) 1540196950.276 * * [misc]simplify: iters left: 1 (62 enodes) 1540196950.282 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) 1540196950.282 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196950.282 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196950.282 * * [misc]simplify: iters left: 6 (18 enodes) 1540196950.285 * * [misc]simplify: iters left: 5 (27 enodes) 1540196950.288 * * [misc]simplify: iters left: 4 (46 enodes) 1540196950.295 * * [misc]simplify: iters left: 3 (94 enodes) 1540196950.312 * * [misc]simplify: iters left: 2 (181 enodes) 1540196950.352 * * [misc]simplify: iters left: 1 (322 enodes) 1540196950.463 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196950.463 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196950.463 * * * * [misc]progress: [ 1518 / 6870 ] simplifiying candidate # 1540196950.463 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196950.463 * * [misc]simplify: iters left: 6 (18 enodes) 1540196950.466 * * [misc]simplify: iters left: 5 (29 enodes) 1540196950.470 * * [misc]simplify: iters left: 4 (45 enodes) 1540196950.477 * * [misc]simplify: iters left: 3 (79 enodes) 1540196950.489 * * [misc]simplify: iters left: 2 (169 enodes) 1540196950.537 * * [misc]simplify: iters left: 1 (445 enodes) 1540196950.743 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196950.743 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196950.743 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196950.743 * * [misc]simplify: iters left: 6 (19 enodes) 1540196950.746 * * [misc]simplify: iters left: 5 (28 enodes) 1540196950.751 * * [misc]simplify: iters left: 4 (47 enodes) 1540196950.758 * * [misc]simplify: iters left: 3 (95 enodes) 1540196950.776 * * [misc]simplify: iters left: 2 (182 enodes) 1540196950.817 * * [misc]simplify: iters left: 1 (322 enodes) 1540196950.924 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196950.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196950.924 * * * * [misc]progress: [ 1519 / 6870 ] simplifiying candidate # 1540196950.924 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196950.924 * * [misc]simplify: iters left: 6 (17 enodes) 1540196950.926 * * [misc]simplify: iters left: 5 (26 enodes) 1540196950.930 * * [misc]simplify: iters left: 4 (39 enodes) 1540196950.936 * * [misc]simplify: iters left: 3 (49 enodes) 1540196950.941 * * [misc]simplify: iters left: 2 (62 enodes) 1540196950.949 * * [misc]simplify: iters left: 1 (106 enodes) 1540196950.965 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196950.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196950.965 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196950.965 * * [misc]simplify: iters left: 6 (19 enodes) 1540196950.968 * * [misc]simplify: iters left: 5 (28 enodes) 1540196950.972 * * [misc]simplify: iters left: 4 (47 enodes) 1540196950.979 * * [misc]simplify: iters left: 3 (95 enodes) 1540196950.996 * * [misc]simplify: iters left: 2 (182 enodes) 1540196951.037 * * [misc]simplify: iters left: 1 (322 enodes) 1540196951.146 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196951.146 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196951.146 * * * * [misc]progress: [ 1520 / 6870 ] simplifiying candidate # 1540196951.146 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196951.147 * * [misc]simplify: iters left: 6 (12 enodes) 1540196951.148 * * [misc]simplify: iters left: 5 (19 enodes) 1540196951.151 * * [misc]simplify: iters left: 4 (27 enodes) 1540196951.154 * * [misc]simplify: iters left: 3 (31 enodes) 1540196951.157 * * [misc]simplify: iters left: 2 (37 enodes) 1540196951.162 * * [misc]simplify: iters left: 1 (44 enodes) 1540196951.168 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196951.168 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196951.168 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196951.168 * * [misc]simplify: iters left: 6 (18 enodes) 1540196951.170 * * [misc]simplify: iters left: 5 (27 enodes) 1540196951.174 * * [misc]simplify: iters left: 4 (46 enodes) 1540196951.181 * * [misc]simplify: iters left: 3 (94 enodes) 1540196951.200 * * [misc]simplify: iters left: 2 (181 enodes) 1540196951.240 * * [misc]simplify: iters left: 1 (322 enodes) 1540196951.350 * [exit]simplify: Simplified to (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196951.350 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196951.350 * * * * [misc]progress: [ 1521 / 6870 ] simplifiying candidate # 1540196951.350 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ 1 (pow 2 1/2))) 1540196951.350 * * [misc]simplify: iters left: 6 (10 enodes) 1540196951.352 * * [misc]simplify: iters left: 5 (18 enodes) 1540196951.355 * * [misc]simplify: iters left: 4 (22 enodes) 1540196951.358 * * [misc]simplify: iters left: 3 (23 enodes) 1540196951.360 * * [misc]simplify: iters left: 2 (25 enodes) 1540196951.363 * * [misc]simplify: iters left: 1 (30 enodes) 1540196951.366 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540196951.367 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196951.367 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196951.367 * * [misc]simplify: iters left: 6 (17 enodes) 1540196951.369 * * [misc]simplify: iters left: 5 (26 enodes) 1540196951.375 * * [misc]simplify: iters left: 4 (44 enodes) 1540196951.381 * * [misc]simplify: iters left: 3 (89 enodes) 1540196951.397 * * [misc]simplify: iters left: 2 (154 enodes) 1540196951.430 * * [misc]simplify: iters left: 1 (238 enodes) 1540196951.487 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540196951.487 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1540196951.488 * * * * [misc]progress: [ 1522 / 6870 ] simplifiying candidate # 1540196951.488 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ 1 (pow 2 1/2))) 1540196951.488 * * [misc]simplify: iters left: 6 (10 enodes) 1540196951.490 * * [misc]simplify: iters left: 5 (18 enodes) 1540196951.493 * * [misc]simplify: iters left: 4 (22 enodes) 1540196951.496 * * [misc]simplify: iters left: 3 (23 enodes) 1540196951.498 * * [misc]simplify: iters left: 2 (25 enodes) 1540196951.501 * * [misc]simplify: iters left: 1 (30 enodes) 1540196951.506 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540196951.506 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196951.506 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196951.506 * * [misc]simplify: iters left: 6 (17 enodes) 1540196951.509 * * [misc]simplify: iters left: 5 (26 enodes) 1540196951.512 * * [misc]simplify: iters left: 4 (44 enodes) 1540196951.519 * * [misc]simplify: iters left: 3 (89 enodes) 1540196951.535 * * [misc]simplify: iters left: 2 (154 enodes) 1540196951.568 * * [misc]simplify: iters left: 1 (238 enodes) 1540196951.625 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540196951.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1540196951.626 * * * * [misc]progress: [ 1523 / 6870 ] simplifiying candidate # 1540196951.626 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196951.626 * * [misc]simplify: iters left: 6 (15 enodes) 1540196951.629 * * [misc]simplify: iters left: 5 (26 enodes) 1540196951.634 * * [misc]simplify: iters left: 4 (37 enodes) 1540196951.638 * * [misc]simplify: iters left: 3 (45 enodes) 1540196951.643 * * [misc]simplify: iters left: 2 (51 enodes) 1540196951.649 * * [misc]simplify: iters left: 1 (66 enodes) 1540196951.660 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt PI)) 1540196951.660 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196951.660 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196951.660 * * [misc]simplify: iters left: 6 (18 enodes) 1540196951.663 * * [misc]simplify: iters left: 5 (27 enodes) 1540196951.667 * * [misc]simplify: iters left: 4 (45 enodes) 1540196951.673 * * [misc]simplify: iters left: 3 (90 enodes) 1540196951.689 * * [misc]simplify: iters left: 2 (155 enodes) 1540196951.723 * * [misc]simplify: iters left: 1 (239 enodes) 1540196951.780 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540196951.780 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt PI)) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1540196951.780 * * * * [misc]progress: [ 1524 / 6870 ] simplifiying candidate # 1540196951.781 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196951.781 * * [misc]simplify: iters left: 6 (14 enodes) 1540196951.783 * * [misc]simplify: iters left: 5 (23 enodes) 1540196951.786 * * [misc]simplify: iters left: 4 (30 enodes) 1540196951.789 * * [misc]simplify: iters left: 3 (31 enodes) 1540196951.792 * * [misc]simplify: iters left: 2 (33 enodes) 1540196951.795 * * [misc]simplify: iters left: 1 (38 enodes) 1540196951.800 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196951.800 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196951.800 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196951.800 * * [misc]simplify: iters left: 6 (18 enodes) 1540196951.803 * * [misc]simplify: iters left: 5 (27 enodes) 1540196951.806 * * [misc]simplify: iters left: 4 (45 enodes) 1540196951.813 * * [misc]simplify: iters left: 3 (90 enodes) 1540196951.829 * * [misc]simplify: iters left: 2 (155 enodes) 1540196951.862 * * [misc]simplify: iters left: 1 (239 enodes) 1540196951.919 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540196951.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1540196951.920 * * * * [misc]progress: [ 1525 / 6870 ] simplifiying candidate # 1540196951.920 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ 1 1)) 1540196951.920 * * [misc]simplify: iters left: 6 (7 enodes) 1540196951.922 * * [misc]simplify: iters left: 5 (12 enodes) 1540196951.923 * [exit]simplify: Simplified to (sqrt PI) 1540196951.923 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196951.923 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196951.923 * * [misc]simplify: iters left: 6 (17 enodes) 1540196951.925 * * [misc]simplify: iters left: 5 (26 enodes) 1540196951.929 * * [misc]simplify: iters left: 4 (44 enodes) 1540196951.936 * * [misc]simplify: iters left: 3 (89 enodes) 1540196951.952 * * [misc]simplify: iters left: 2 (154 enodes) 1540196951.985 * * [misc]simplify: iters left: 1 (238 enodes) 1540196952.044 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196952.044 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196952.044 * * * * [misc]progress: [ 1526 / 6870 ] simplifiying candidate # 1540196952.044 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) 1) 1540196952.044 * * [misc]simplify: iters left: 6 (7 enodes) 1540196952.046 * * [misc]simplify: iters left: 5 (12 enodes) 1540196952.047 * [exit]simplify: Simplified to (sqrt PI) 1540196952.047 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196952.047 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196952.047 * * [misc]simplify: iters left: 6 (17 enodes) 1540196952.050 * * [misc]simplify: iters left: 5 (26 enodes) 1540196952.053 * * [misc]simplify: iters left: 4 (44 enodes) 1540196952.060 * * [misc]simplify: iters left: 3 (89 enodes) 1540196952.075 * * [misc]simplify: iters left: 2 (154 enodes) 1540196952.110 * * [misc]simplify: iters left: 1 (238 enodes) 1540196952.466 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196952.466 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196952.466 * * * * [misc]progress: [ 1527 / 6870 ] simplifiying candidate # 1540196952.467 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (sqrt (sqrt k))) 1540196952.467 * * [misc]simplify: iters left: 6 (10 enodes) 1540196952.468 * * [misc]simplify: iters left: 5 (15 enodes) 1540196952.470 * * [misc]simplify: iters left: 4 (18 enodes) 1540196952.472 * * [misc]simplify: iters left: 3 (20 enodes) 1540196952.474 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196952.474 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196952.474 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196952.474 * * [misc]simplify: iters left: 6 (18 enodes) 1540196952.477 * * [misc]simplify: iters left: 5 (29 enodes) 1540196952.481 * * [misc]simplify: iters left: 4 (46 enodes) 1540196952.488 * * [misc]simplify: iters left: 3 (98 enodes) 1540196952.505 * * [misc]simplify: iters left: 2 (205 enodes) 1540196952.568 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540196952.568 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540196952.568 * * * * [misc]progress: [ 1528 / 6870 ] simplifiying candidate # 1540196952.569 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ 1 1)) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196952.569 * * [misc]simplify: iters left: 6 (13 enodes) 1540196952.571 * * [misc]simplify: iters left: 5 (21 enodes) 1540196952.574 * * [misc]simplify: iters left: 4 (31 enodes) 1540196952.579 * * [misc]simplify: iters left: 3 (41 enodes) 1540196952.585 * * [misc]simplify: iters left: 2 (49 enodes) 1540196952.591 * * [misc]simplify: iters left: 1 (61 enodes) 1540196952.597 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540196952.597 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))))) 1540196952.598 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540196952.598 * * [misc]simplify: iters left: 6 (16 enodes) 1540196952.600 * * [misc]simplify: iters left: 5 (23 enodes) 1540196952.603 * * [misc]simplify: iters left: 4 (34 enodes) 1540196952.607 * * [misc]simplify: iters left: 3 (49 enodes) 1540196952.614 * * [misc]simplify: iters left: 2 (66 enodes) 1540196952.622 * * [misc]simplify: iters left: 1 (83 enodes) 1540196952.634 * [exit]simplify: Simplified to (* (/ (pow n (- 1/2 (/ k 2))) (pow 2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196952.634 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (* (/ (pow n (- 1/2 (/ k 2))) (pow 2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196952.634 * * * * [misc]progress: [ 1529 / 6870 ] simplifiying candidate # 1540196952.634 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196952.634 * * [misc]simplify: iters left: 6 (16 enodes) 1540196952.637 * * [misc]simplify: iters left: 5 (25 enodes) 1540196952.640 * * [misc]simplify: iters left: 4 (36 enodes) 1540196952.644 * * [misc]simplify: iters left: 3 (45 enodes) 1540196952.649 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196952.649 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196952.650 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196952.650 * * [misc]simplify: iters left: 6 (18 enodes) 1540196952.653 * * [misc]simplify: iters left: 5 (25 enodes) 1540196952.657 * * [misc]simplify: iters left: 4 (36 enodes) 1540196952.661 * * [misc]simplify: iters left: 3 (51 enodes) 1540196952.667 * * [misc]simplify: iters left: 2 (68 enodes) 1540196952.676 * * [misc]simplify: iters left: 1 (85 enodes) 1540196952.688 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196952.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196952.688 * * * * [misc]progress: [ 1530 / 6870 ] simplifiying candidate # 1540196952.688 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196952.688 * * [misc]simplify: iters left: 6 (15 enodes) 1540196952.690 * * [misc]simplify: iters left: 5 (22 enodes) 1540196952.693 * * [misc]simplify: iters left: 4 (30 enodes) 1540196952.696 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196952.696 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196952.696 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196952.696 * * [misc]simplify: iters left: 6 (18 enodes) 1540196952.699 * * [misc]simplify: iters left: 5 (25 enodes) 1540196952.702 * * [misc]simplify: iters left: 4 (36 enodes) 1540196952.707 * * [misc]simplify: iters left: 3 (51 enodes) 1540196952.713 * * [misc]simplify: iters left: 2 (68 enodes) 1540196952.723 * * [misc]simplify: iters left: 1 (85 enodes) 1540196952.735 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196952.735 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196952.735 * * * * [misc]progress: [ 1531 / 6870 ] simplifiying candidate # 1540196952.735 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196952.735 * * [misc]simplify: iters left: 6 (14 enodes) 1540196952.738 * * [misc]simplify: iters left: 5 (24 enodes) 1540196952.742 * * [misc]simplify: iters left: 4 (40 enodes) 1540196952.748 * * [misc]simplify: iters left: 3 (77 enodes) 1540196952.762 * * [misc]simplify: iters left: 2 (148 enodes) 1540196952.790 * * [misc]simplify: iters left: 1 (218 enodes) 1540196952.827 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196952.827 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196952.827 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196952.827 * * [misc]simplify: iters left: 6 (18 enodes) 1540196952.829 * * [misc]simplify: iters left: 5 (27 enodes) 1540196952.833 * * [misc]simplify: iters left: 4 (46 enodes) 1540196952.840 * * [misc]simplify: iters left: 3 (94 enodes) 1540196952.858 * * [misc]simplify: iters left: 2 (181 enodes) 1540196952.897 * * [misc]simplify: iters left: 1 (322 enodes) 1540196953.007 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196953.007 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196953.007 * * * * [misc]progress: [ 1532 / 6870 ] simplifiying candidate # 1540196953.007 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196953.007 * * [misc]simplify: iters left: 6 (14 enodes) 1540196953.010 * * [misc]simplify: iters left: 5 (24 enodes) 1540196953.014 * * [misc]simplify: iters left: 4 (40 enodes) 1540196953.020 * * [misc]simplify: iters left: 3 (77 enodes) 1540196953.034 * * [misc]simplify: iters left: 2 (148 enodes) 1540196953.064 * * [misc]simplify: iters left: 1 (218 enodes) 1540196953.101 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196953.101 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196953.101 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196953.101 * * [misc]simplify: iters left: 6 (18 enodes) 1540196953.105 * * [misc]simplify: iters left: 5 (27 enodes) 1540196953.108 * * [misc]simplify: iters left: 4 (46 enodes) 1540196953.115 * * [misc]simplify: iters left: 3 (94 enodes) 1540196953.132 * * [misc]simplify: iters left: 2 (181 enodes) 1540196953.173 * * [misc]simplify: iters left: 1 (322 enodes) 1540196953.281 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196953.281 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196953.281 * * * * [misc]progress: [ 1533 / 6870 ] simplifiying candidate # 1540196953.282 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196953.282 * * [misc]simplify: iters left: 6 (18 enodes) 1540196953.286 * * [misc]simplify: iters left: 5 (33 enodes) 1540196953.291 * * [misc]simplify: iters left: 4 (65 enodes) 1540196953.302 * * [misc]simplify: iters left: 3 (160 enodes) 1540196953.342 * * [misc]simplify: iters left: 2 (473 enodes) 1540196953.636 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) 1540196953.636 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196953.636 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196953.636 * * [misc]simplify: iters left: 6 (19 enodes) 1540196953.639 * * [misc]simplify: iters left: 5 (28 enodes) 1540196953.643 * * [misc]simplify: iters left: 4 (47 enodes) 1540196953.652 * * [misc]simplify: iters left: 3 (95 enodes) 1540196953.669 * * [misc]simplify: iters left: 2 (182 enodes) 1540196953.710 * * [misc]simplify: iters left: 1 (322 enodes) 1540196953.816 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196953.817 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196953.817 * * * * [misc]progress: [ 1534 / 6870 ] simplifiying candidate # 1540196953.817 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196953.817 * * [misc]simplify: iters left: 6 (17 enodes) 1540196953.819 * * [misc]simplify: iters left: 5 (28 enodes) 1540196953.824 * * [misc]simplify: iters left: 4 (47 enodes) 1540196953.832 * * [misc]simplify: iters left: 3 (84 enodes) 1540196953.845 * * [misc]simplify: iters left: 2 (161 enodes) 1540196953.884 * * [misc]simplify: iters left: 1 (399 enodes) 1540196954.001 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (sqrt (sqrt k)))) 1540196954.001 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196954.001 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196954.001 * * [misc]simplify: iters left: 6 (19 enodes) 1540196954.004 * * [misc]simplify: iters left: 5 (28 enodes) 1540196954.008 * * [misc]simplify: iters left: 4 (47 enodes) 1540196954.015 * * [misc]simplify: iters left: 3 (95 enodes) 1540196954.034 * * [misc]simplify: iters left: 2 (182 enodes) 1540196954.074 * * [misc]simplify: iters left: 1 (322 enodes) 1540196954.182 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196954.182 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (sqrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196954.182 * * * * [misc]progress: [ 1535 / 6870 ] simplifiying candidate # 1540196954.182 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196954.182 * * [misc]simplify: iters left: 6 (12 enodes) 1540196954.184 * * [misc]simplify: iters left: 5 (21 enodes) 1540196954.187 * * [misc]simplify: iters left: 4 (38 enodes) 1540196954.193 * * [misc]simplify: iters left: 3 (58 enodes) 1540196954.203 * * [misc]simplify: iters left: 2 (90 enodes) 1540196954.222 * * [misc]simplify: iters left: 1 (131 enodes) 1540196954.248 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) 1540196954.248 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196954.248 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196954.248 * * [misc]simplify: iters left: 6 (18 enodes) 1540196954.251 * * [misc]simplify: iters left: 5 (27 enodes) 1540196954.255 * * [misc]simplify: iters left: 4 (46 enodes) 1540196954.262 * * [misc]simplify: iters left: 3 (94 enodes) 1540196954.280 * * [misc]simplify: iters left: 2 (181 enodes) 1540196954.320 * * [misc]simplify: iters left: 1 (322 enodes) 1540196954.430 * [exit]simplify: Simplified to (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196954.430 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196954.430 * * * * [misc]progress: [ 1536 / 6870 ] simplifiying candidate # 1540196954.430 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196954.430 * * [misc]simplify: iters left: 6 (14 enodes) 1540196954.433 * * [misc]simplify: iters left: 5 (23 enodes) 1540196954.437 * * [misc]simplify: iters left: 4 (34 enodes) 1540196954.441 * * [misc]simplify: iters left: 3 (42 enodes) 1540196954.446 * * [misc]simplify: iters left: 2 (51 enodes) 1540196954.452 * * [misc]simplify: iters left: 1 (66 enodes) 1540196954.463 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540196954.463 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196954.463 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196954.463 * * [misc]simplify: iters left: 6 (19 enodes) 1540196954.466 * * [misc]simplify: iters left: 5 (28 enodes) 1540196954.470 * * [misc]simplify: iters left: 4 (47 enodes) 1540196954.477 * * [misc]simplify: iters left: 3 (95 enodes) 1540196954.494 * * [misc]simplify: iters left: 2 (182 enodes) 1540196954.535 * * [misc]simplify: iters left: 1 (322 enodes) 1540196954.642 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196954.642 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196954.642 * * * * [misc]progress: [ 1537 / 6870 ] simplifiying candidate # 1540196954.642 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196954.642 * * [misc]simplify: iters left: 6 (14 enodes) 1540196954.646 * * [misc]simplify: iters left: 5 (23 enodes) 1540196954.650 * * [misc]simplify: iters left: 4 (34 enodes) 1540196954.655 * * [misc]simplify: iters left: 3 (42 enodes) 1540196954.660 * * [misc]simplify: iters left: 2 (51 enodes) 1540196954.665 * * [misc]simplify: iters left: 1 (66 enodes) 1540196954.674 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) 1540196954.674 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196954.674 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196954.675 * * [misc]simplify: iters left: 6 (19 enodes) 1540196954.677 * * [misc]simplify: iters left: 5 (28 enodes) 1540196954.681 * * [misc]simplify: iters left: 4 (47 enodes) 1540196954.688 * * [misc]simplify: iters left: 3 (95 enodes) 1540196954.705 * * [misc]simplify: iters left: 2 (182 enodes) 1540196954.747 * * [misc]simplify: iters left: 1 (322 enodes) 1540196954.854 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196954.854 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196954.854 * * * * [misc]progress: [ 1538 / 6870 ] simplifiying candidate # 1540196954.855 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196954.855 * * [misc]simplify: iters left: 6 (18 enodes) 1540196954.858 * * [misc]simplify: iters left: 5 (30 enodes) 1540196954.862 * * [misc]simplify: iters left: 4 (47 enodes) 1540196954.869 * * [misc]simplify: iters left: 3 (72 enodes) 1540196954.880 * * [misc]simplify: iters left: 2 (115 enodes) 1540196954.901 * * [misc]simplify: iters left: 1 (220 enodes) 1540196954.981 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) 1540196954.981 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196954.981 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196954.981 * * [misc]simplify: iters left: 6 (20 enodes) 1540196954.984 * * [misc]simplify: iters left: 5 (29 enodes) 1540196954.988 * * [misc]simplify: iters left: 4 (48 enodes) 1540196954.995 * * [misc]simplify: iters left: 3 (96 enodes) 1540196955.012 * * [misc]simplify: iters left: 2 (183 enodes) 1540196955.054 * * [misc]simplify: iters left: 1 (327 enodes) 1540196955.167 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196955.167 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196955.167 * * * * [misc]progress: [ 1539 / 6870 ] simplifiying candidate # 1540196955.167 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196955.167 * * [misc]simplify: iters left: 6 (17 enodes) 1540196955.169 * * [misc]simplify: iters left: 5 (27 enodes) 1540196955.173 * * [misc]simplify: iters left: 4 (41 enodes) 1540196955.179 * * [misc]simplify: iters left: 3 (49 enodes) 1540196955.184 * * [misc]simplify: iters left: 2 (64 enodes) 1540196955.192 * * [misc]simplify: iters left: 1 (105 enodes) 1540196955.209 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) 1540196955.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196955.209 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196955.209 * * [misc]simplify: iters left: 6 (20 enodes) 1540196955.212 * * [misc]simplify: iters left: 5 (29 enodes) 1540196955.217 * * [misc]simplify: iters left: 4 (48 enodes) 1540196955.225 * * [misc]simplify: iters left: 3 (96 enodes) 1540196955.242 * * [misc]simplify: iters left: 2 (183 enodes) 1540196955.284 * * [misc]simplify: iters left: 1 (327 enodes) 1540196955.395 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196955.395 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196955.395 * * * * [misc]progress: [ 1540 / 6870 ] simplifiying candidate # 1540196955.395 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196955.395 * * [misc]simplify: iters left: 6 (12 enodes) 1540196955.397 * * [misc]simplify: iters left: 5 (20 enodes) 1540196955.401 * * [misc]simplify: iters left: 4 (27 enodes) 1540196955.405 * * [misc]simplify: iters left: 3 (35 enodes) 1540196955.409 * * [misc]simplify: iters left: 2 (44 enodes) 1540196955.414 * * [misc]simplify: iters left: 1 (52 enodes) 1540196955.421 * [exit]simplify: Simplified to (/ (sqrt PI) (fabs (cbrt (sqrt k)))) 1540196955.421 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196955.421 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196955.421 * * [misc]simplify: iters left: 6 (19 enodes) 1540196955.424 * * [misc]simplify: iters left: 5 (28 enodes) 1540196955.428 * * [misc]simplify: iters left: 4 (47 enodes) 1540196955.435 * * [misc]simplify: iters left: 3 (95 enodes) 1540196955.452 * * [misc]simplify: iters left: 2 (182 enodes) 1540196955.494 * * [misc]simplify: iters left: 1 (322 enodes) 1540196955.602 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196955.602 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196955.603 * * * * [misc]progress: [ 1541 / 6870 ] simplifiying candidate # 1540196955.603 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196955.603 * * [misc]simplify: iters left: 6 (13 enodes) 1540196955.606 * * [misc]simplify: iters left: 5 (21 enodes) 1540196955.609 * * [misc]simplify: iters left: 4 (32 enodes) 1540196955.614 * * [misc]simplify: iters left: 3 (42 enodes) 1540196955.619 * * [misc]simplify: iters left: 2 (53 enodes) 1540196955.625 * * [misc]simplify: iters left: 1 (67 enodes) 1540196955.633 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196955.633 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196955.634 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196955.634 * * [misc]simplify: iters left: 6 (18 enodes) 1540196955.636 * * [misc]simplify: iters left: 5 (27 enodes) 1540196955.640 * * [misc]simplify: iters left: 4 (46 enodes) 1540196955.647 * * [misc]simplify: iters left: 3 (94 enodes) 1540196955.665 * * [misc]simplify: iters left: 2 (181 enodes) 1540196955.706 * * [misc]simplify: iters left: 1 (322 enodes) 1540196955.815 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196955.815 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196955.815 * * * * [misc]progress: [ 1542 / 6870 ] simplifiying candidate # 1540196955.816 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196955.816 * * [misc]simplify: iters left: 6 (13 enodes) 1540196955.818 * * [misc]simplify: iters left: 5 (21 enodes) 1540196955.822 * * [misc]simplify: iters left: 4 (32 enodes) 1540196955.826 * * [misc]simplify: iters left: 3 (42 enodes) 1540196955.831 * * [misc]simplify: iters left: 2 (53 enodes) 1540196955.838 * * [misc]simplify: iters left: 1 (67 enodes) 1540196955.848 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196955.848 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196955.848 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196955.848 * * [misc]simplify: iters left: 6 (18 enodes) 1540196955.851 * * [misc]simplify: iters left: 5 (27 enodes) 1540196955.855 * * [misc]simplify: iters left: 4 (46 enodes) 1540196955.862 * * [misc]simplify: iters left: 3 (94 enodes) 1540196955.879 * * [misc]simplify: iters left: 2 (181 enodes) 1540196955.920 * * [misc]simplify: iters left: 1 (322 enodes) 1540196956.030 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196956.030 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196956.030 * * * * [misc]progress: [ 1543 / 6870 ] simplifiying candidate # 1540196956.030 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196956.030 * * [misc]simplify: iters left: 6 (17 enodes) 1540196956.033 * * [misc]simplify: iters left: 5 (28 enodes) 1540196956.037 * * [misc]simplify: iters left: 4 (45 enodes) 1540196956.043 * * [misc]simplify: iters left: 3 (78 enodes) 1540196956.055 * * [misc]simplify: iters left: 2 (142 enodes) 1540196956.087 * * [misc]simplify: iters left: 1 (366 enodes) 1540196956.247 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196956.247 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196956.247 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196956.247 * * [misc]simplify: iters left: 6 (19 enodes) 1540196956.250 * * [misc]simplify: iters left: 5 (28 enodes) 1540196956.254 * * [misc]simplify: iters left: 4 (47 enodes) 1540196956.261 * * [misc]simplify: iters left: 3 (95 enodes) 1540196956.278 * * [misc]simplify: iters left: 2 (182 enodes) 1540196956.320 * * [misc]simplify: iters left: 1 (322 enodes) 1540196956.428 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196956.428 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196956.428 * * * * [misc]progress: [ 1544 / 6870 ] simplifiying candidate # 1540196956.428 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196956.428 * * [misc]simplify: iters left: 6 (16 enodes) 1540196956.431 * * [misc]simplify: iters left: 5 (25 enodes) 1540196956.434 * * [misc]simplify: iters left: 4 (39 enodes) 1540196956.439 * * [misc]simplify: iters left: 3 (49 enodes) 1540196956.445 * * [misc]simplify: iters left: 2 (68 enodes) 1540196956.454 * * [misc]simplify: iters left: 1 (121 enodes) 1540196956.475 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196956.476 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196956.476 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196956.476 * * [misc]simplify: iters left: 6 (19 enodes) 1540196956.478 * * [misc]simplify: iters left: 5 (28 enodes) 1540196956.482 * * [misc]simplify: iters left: 4 (47 enodes) 1540196956.489 * * [misc]simplify: iters left: 3 (95 enodes) 1540196956.506 * * [misc]simplify: iters left: 2 (182 enodes) 1540196956.548 * * [misc]simplify: iters left: 1 (322 enodes) 1540196956.657 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196956.657 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196956.658 * * * * [misc]progress: [ 1545 / 6870 ] simplifiying candidate # 1540196956.658 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196956.658 * * [misc]simplify: iters left: 6 (11 enodes) 1540196956.660 * * [misc]simplify: iters left: 5 (18 enodes) 1540196956.663 * * [misc]simplify: iters left: 4 (29 enodes) 1540196956.667 * * [misc]simplify: iters left: 3 (37 enodes) 1540196956.671 * * [misc]simplify: iters left: 2 (46 enodes) 1540196956.676 * * [misc]simplify: iters left: 1 (56 enodes) 1540196956.684 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196956.684 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196956.684 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196956.684 * * [misc]simplify: iters left: 6 (18 enodes) 1540196956.687 * * [misc]simplify: iters left: 5 (27 enodes) 1540196956.691 * * [misc]simplify: iters left: 4 (46 enodes) 1540196956.698 * * [misc]simplify: iters left: 3 (94 enodes) 1540196956.715 * * [misc]simplify: iters left: 2 (181 enodes) 1540196956.756 * * [misc]simplify: iters left: 1 (322 enodes) 1540196956.867 * [exit]simplify: Simplified to (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196956.867 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196956.867 * * * * [misc]progress: [ 1546 / 6870 ] simplifiying candidate # 1540196956.867 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt 1) (pow 2 1/2))) 1540196956.867 * * [misc]simplify: iters left: 5 (10 enodes) 1540196956.870 * * [misc]simplify: iters left: 4 (18 enodes) 1540196956.873 * * [misc]simplify: iters left: 3 (25 enodes) 1540196956.876 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540196956.876 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196956.876 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196956.876 * * [misc]simplify: iters left: 6 (17 enodes) 1540196956.879 * * [misc]simplify: iters left: 5 (26 enodes) 1540196956.882 * * [misc]simplify: iters left: 4 (44 enodes) 1540196956.889 * * [misc]simplify: iters left: 3 (89 enodes) 1540196956.905 * * [misc]simplify: iters left: 2 (154 enodes) 1540196956.939 * * [misc]simplify: iters left: 1 (238 enodes) 1540196956.997 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540196956.997 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1540196956.997 * * * * [misc]progress: [ 1547 / 6870 ] simplifiying candidate # 1540196956.997 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt 1) (pow 2 1/2))) 1540196956.997 * * [misc]simplify: iters left: 5 (10 enodes) 1540196957.000 * * [misc]simplify: iters left: 4 (18 enodes) 1540196957.003 * * [misc]simplify: iters left: 3 (25 enodes) 1540196957.006 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt 2)) 1540196957.006 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196957.006 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196957.006 * * [misc]simplify: iters left: 6 (17 enodes) 1540196957.009 * * [misc]simplify: iters left: 5 (26 enodes) 1540196957.012 * * [misc]simplify: iters left: 4 (44 enodes) 1540196957.019 * * [misc]simplify: iters left: 3 (89 enodes) 1540196957.035 * * [misc]simplify: iters left: 2 (154 enodes) 1540196957.068 * * [misc]simplify: iters left: 1 (238 enodes) 1540196957.126 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540196957.127 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt 2)) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1540196957.127 * * * * [misc]progress: [ 1548 / 6870 ] simplifiying candidate # 1540196957.127 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196957.127 * * [misc]simplify: iters left: 6 (15 enodes) 1540196957.130 * * [misc]simplify: iters left: 5 (26 enodes) 1540196957.134 * * [misc]simplify: iters left: 4 (37 enodes) 1540196957.138 * * [misc]simplify: iters left: 3 (49 enodes) 1540196957.143 * * [misc]simplify: iters left: 2 (63 enodes) 1540196957.152 * * [misc]simplify: iters left: 1 (113 enodes) 1540196957.172 * [exit]simplify: Simplified to (* (sqrt PI) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196957.172 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196957.172 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196957.172 * * [misc]simplify: iters left: 6 (18 enodes) 1540196957.175 * * [misc]simplify: iters left: 5 (27 enodes) 1540196957.178 * * [misc]simplify: iters left: 4 (45 enodes) 1540196957.185 * * [misc]simplify: iters left: 3 (90 enodes) 1540196957.201 * * [misc]simplify: iters left: 2 (155 enodes) 1540196957.235 * * [misc]simplify: iters left: 1 (239 enodes) 1540196957.290 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540196957.290 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1540196957.291 * * * * [misc]progress: [ 1549 / 6870 ] simplifiying candidate # 1540196957.291 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196957.291 * * [misc]simplify: iters left: 6 (14 enodes) 1540196957.294 * * [misc]simplify: iters left: 5 (23 enodes) 1540196957.298 * * [misc]simplify: iters left: 4 (33 enodes) 1540196957.302 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196957.302 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196957.302 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196957.302 * * [misc]simplify: iters left: 6 (18 enodes) 1540196957.304 * * [misc]simplify: iters left: 5 (27 enodes) 1540196957.308 * * [misc]simplify: iters left: 4 (45 enodes) 1540196957.315 * * [misc]simplify: iters left: 3 (90 enodes) 1540196957.331 * * [misc]simplify: iters left: 2 (155 enodes) 1540196957.364 * * [misc]simplify: iters left: 1 (239 enodes) 1540196957.420 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540196957.420 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1540196957.421 * * * * [misc]progress: [ 1550 / 6870 ] simplifiying candidate # 1540196957.421 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt 1) 1)) 1540196957.421 * * [misc]simplify: iters left: 5 (8 enodes) 1540196957.423 * * [misc]simplify: iters left: 4 (15 enodes) 1540196957.425 * [exit]simplify: Simplified to (sqrt PI) 1540196957.425 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196957.425 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196957.425 * * [misc]simplify: iters left: 6 (17 enodes) 1540196957.428 * * [misc]simplify: iters left: 5 (26 enodes) 1540196957.432 * * [misc]simplify: iters left: 4 (44 enodes) 1540196957.439 * * [misc]simplify: iters left: 3 (89 enodes) 1540196957.454 * * [misc]simplify: iters left: 2 (154 enodes) 1540196957.487 * * [misc]simplify: iters left: 1 (238 enodes) 1540196957.545 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196957.545 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196957.545 * * * * [misc]progress: [ 1551 / 6870 ] simplifiying candidate # 1540196957.545 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196957.545 * * [misc]simplify: iters left: 6 (13 enodes) 1540196957.548 * * [misc]simplify: iters left: 5 (21 enodes) 1540196957.551 * * [misc]simplify: iters left: 4 (32 enodes) 1540196957.557 * * [misc]simplify: iters left: 3 (42 enodes) 1540196957.563 * * [misc]simplify: iters left: 2 (53 enodes) 1540196957.569 * * [misc]simplify: iters left: 1 (67 enodes) 1540196957.577 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196957.577 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196957.578 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196957.578 * * [misc]simplify: iters left: 6 (18 enodes) 1540196957.580 * * [misc]simplify: iters left: 5 (27 enodes) 1540196957.584 * * [misc]simplify: iters left: 4 (46 enodes) 1540196957.591 * * [misc]simplify: iters left: 3 (94 enodes) 1540196957.608 * * [misc]simplify: iters left: 2 (181 enodes) 1540196957.649 * * [misc]simplify: iters left: 1 (322 enodes) 1540196957.760 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196957.760 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196957.760 * * * * [misc]progress: [ 1552 / 6870 ] simplifiying candidate # 1540196957.760 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196957.760 * * [misc]simplify: iters left: 6 (13 enodes) 1540196957.763 * * [misc]simplify: iters left: 5 (21 enodes) 1540196957.766 * * [misc]simplify: iters left: 4 (32 enodes) 1540196957.770 * * [misc]simplify: iters left: 3 (42 enodes) 1540196957.776 * * [misc]simplify: iters left: 2 (53 enodes) 1540196957.782 * * [misc]simplify: iters left: 1 (67 enodes) 1540196957.791 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) 1540196957.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196957.791 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196957.791 * * [misc]simplify: iters left: 6 (18 enodes) 1540196957.793 * * [misc]simplify: iters left: 5 (27 enodes) 1540196957.797 * * [misc]simplify: iters left: 4 (46 enodes) 1540196957.804 * * [misc]simplify: iters left: 3 (94 enodes) 1540196957.823 * * [misc]simplify: iters left: 2 (181 enodes) 1540196957.862 * * [misc]simplify: iters left: 1 (322 enodes) 1540196957.972 * [exit]simplify: Simplified to (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196957.972 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196957.972 * * * * [misc]progress: [ 1553 / 6870 ] simplifiying candidate # 1540196957.973 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196957.973 * * [misc]simplify: iters left: 6 (17 enodes) 1540196957.975 * * [misc]simplify: iters left: 5 (28 enodes) 1540196957.980 * * [misc]simplify: iters left: 4 (45 enodes) 1540196957.986 * * [misc]simplify: iters left: 3 (78 enodes) 1540196957.999 * * [misc]simplify: iters left: 2 (142 enodes) 1540196958.031 * * [misc]simplify: iters left: 1 (366 enodes) 1540196958.191 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540196958.191 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196958.191 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196958.192 * * [misc]simplify: iters left: 6 (19 enodes) 1540196958.194 * * [misc]simplify: iters left: 5 (28 enodes) 1540196958.198 * * [misc]simplify: iters left: 4 (47 enodes) 1540196958.205 * * [misc]simplify: iters left: 3 (95 enodes) 1540196958.222 * * [misc]simplify: iters left: 2 (182 enodes) 1540196958.264 * * [misc]simplify: iters left: 1 (322 enodes) 1540196958.372 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196958.372 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196958.372 * * * * [misc]progress: [ 1554 / 6870 ] simplifiying candidate # 1540196958.372 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196958.373 * * [misc]simplify: iters left: 6 (16 enodes) 1540196958.375 * * [misc]simplify: iters left: 5 (25 enodes) 1540196958.378 * * [misc]simplify: iters left: 4 (39 enodes) 1540196958.383 * * [misc]simplify: iters left: 3 (49 enodes) 1540196958.389 * * [misc]simplify: iters left: 2 (68 enodes) 1540196958.398 * * [misc]simplify: iters left: 1 (121 enodes) 1540196958.417 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) 1540196958.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196958.418 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196958.418 * * [misc]simplify: iters left: 6 (19 enodes) 1540196958.421 * * [misc]simplify: iters left: 5 (28 enodes) 1540196958.425 * * [misc]simplify: iters left: 4 (47 enodes) 1540196958.432 * * [misc]simplify: iters left: 3 (95 enodes) 1540196958.450 * * [misc]simplify: iters left: 2 (182 enodes) 1540196958.489 * * [misc]simplify: iters left: 1 (322 enodes) 1540196958.598 * [exit]simplify: Simplified to (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196958.598 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (* (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196958.598 * * * * [misc]progress: [ 1555 / 6870 ] simplifiying candidate # 1540196958.599 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196958.599 * * [misc]simplify: iters left: 6 (11 enodes) 1540196958.600 * * [misc]simplify: iters left: 5 (18 enodes) 1540196958.603 * * [misc]simplify: iters left: 4 (29 enodes) 1540196958.607 * * [misc]simplify: iters left: 3 (37 enodes) 1540196958.611 * * [misc]simplify: iters left: 2 (46 enodes) 1540196958.616 * * [misc]simplify: iters left: 1 (56 enodes) 1540196958.626 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) 1540196958.626 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196958.626 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196958.626 * * [misc]simplify: iters left: 6 (18 enodes) 1540196958.629 * * [misc]simplify: iters left: 5 (27 enodes) 1540196958.632 * * [misc]simplify: iters left: 4 (46 enodes) 1540196958.639 * * [misc]simplify: iters left: 3 (94 enodes) 1540196958.657 * * [misc]simplify: iters left: 2 (181 enodes) 1540196958.697 * * [misc]simplify: iters left: 1 (322 enodes) 1540196958.807 * [exit]simplify: Simplified to (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196958.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196958.807 * * * * [misc]progress: [ 1556 / 6870 ] simplifiying candidate # 1540196958.807 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ 1 (pow 2 1/2))) 1540196958.807 * * [misc]simplify: iters left: 5 (9 enodes) 1540196958.810 * * [misc]simplify: iters left: 4 (17 enodes) 1540196958.813 * * [misc]simplify: iters left: 3 (25 enodes) 1540196958.816 * * [misc]simplify: iters left: 2 (27 enodes) 1540196958.818 * * [misc]simplify: iters left: 1 (28 enodes) 1540196958.821 * [exit]simplify: Simplified to (* (sqrt 2) (sqrt PI)) 1540196958.821 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt 2) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196958.821 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196958.821 * * [misc]simplify: iters left: 6 (17 enodes) 1540196958.824 * * [misc]simplify: iters left: 5 (26 enodes) 1540196958.828 * * [misc]simplify: iters left: 4 (44 enodes) 1540196958.834 * * [misc]simplify: iters left: 3 (89 enodes) 1540196958.850 * * [misc]simplify: iters left: 2 (154 enodes) 1540196958.883 * * [misc]simplify: iters left: 1 (238 enodes) 1540196958.941 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540196958.941 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt 2) (sqrt PI)) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1540196958.941 * * * * [misc]progress: [ 1557 / 6870 ] simplifiying candidate # 1540196958.941 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ 1 (pow 2 1/2))) 1540196958.941 * * [misc]simplify: iters left: 5 (9 enodes) 1540196958.943 * * [misc]simplify: iters left: 4 (17 enodes) 1540196958.946 * * [misc]simplify: iters left: 3 (25 enodes) 1540196958.949 * * [misc]simplify: iters left: 2 (27 enodes) 1540196958.952 * * [misc]simplify: iters left: 1 (28 enodes) 1540196958.955 * [exit]simplify: Simplified to (* (sqrt 2) (sqrt PI)) 1540196958.955 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt 2) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196958.955 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196958.955 * * [misc]simplify: iters left: 6 (17 enodes) 1540196958.957 * * [misc]simplify: iters left: 5 (26 enodes) 1540196958.961 * * [misc]simplify: iters left: 4 (44 enodes) 1540196958.968 * * [misc]simplify: iters left: 3 (89 enodes) 1540196958.984 * * [misc]simplify: iters left: 2 (154 enodes) 1540196959.017 * * [misc]simplify: iters left: 1 (238 enodes) 1540196959.075 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))) 1540196959.076 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt 2) (sqrt PI)) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1540196959.076 * * * * [misc]progress: [ 1558 / 6870 ] simplifiying candidate # 1540196959.076 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196959.076 * * [misc]simplify: iters left: 6 (14 enodes) 1540196959.078 * * [misc]simplify: iters left: 5 (25 enodes) 1540196959.082 * * [misc]simplify: iters left: 4 (37 enodes) 1540196959.086 * * [misc]simplify: iters left: 3 (42 enodes) 1540196959.091 * * [misc]simplify: iters left: 2 (51 enodes) 1540196959.097 * * [misc]simplify: iters left: 1 (85 enodes) 1540196959.115 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt PI)) 1540196959.115 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt PI)) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196959.115 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196959.115 * * [misc]simplify: iters left: 6 (18 enodes) 1540196959.118 * * [misc]simplify: iters left: 5 (27 enodes) 1540196959.122 * * [misc]simplify: iters left: 4 (45 enodes) 1540196959.129 * * [misc]simplify: iters left: 3 (90 enodes) 1540196959.146 * * [misc]simplify: iters left: 2 (155 enodes) 1540196959.177 * * [misc]simplify: iters left: 1 (239 enodes) 1540196959.235 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540196959.235 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt PI)) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1540196959.235 * * * * [misc]progress: [ 1559 / 6870 ] simplifiying candidate # 1540196959.235 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196959.235 * * [misc]simplify: iters left: 6 (13 enodes) 1540196959.237 * * [misc]simplify: iters left: 5 (22 enodes) 1540196959.240 * * [misc]simplify: iters left: 4 (33 enodes) 1540196959.244 * * [misc]simplify: iters left: 3 (35 enodes) 1540196959.247 * * [misc]simplify: iters left: 2 (36 enodes) 1540196959.250 * * [misc]simplify: iters left: 1 (37 enodes) 1540196959.254 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196959.254 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196959.254 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196959.254 * * [misc]simplify: iters left: 6 (18 enodes) 1540196959.256 * * [misc]simplify: iters left: 5 (27 enodes) 1540196959.261 * * [misc]simplify: iters left: 4 (45 enodes) 1540196959.268 * * [misc]simplify: iters left: 3 (90 enodes) 1540196959.284 * * [misc]simplify: iters left: 2 (155 enodes) 1540196959.316 * * [misc]simplify: iters left: 1 (239 enodes) 1540196959.373 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))) 1540196959.373 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow n (- 1/2 (/ k 2))))))) 1540196959.373 * * * * [misc]progress: [ 1560 / 6870 ] simplifiying candidate # 1540196959.373 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ 1 1)) 1540196959.374 * * [misc]simplify: iters left: 5 (7 enodes) 1540196959.375 * * [misc]simplify: iters left: 4 (12 enodes) 1540196959.376 * [exit]simplify: Simplified to (sqrt PI) 1540196959.376 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196959.376 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196959.377 * * [misc]simplify: iters left: 6 (17 enodes) 1540196959.379 * * [misc]simplify: iters left: 5 (26 enodes) 1540196959.382 * * [misc]simplify: iters left: 4 (44 enodes) 1540196959.391 * * [misc]simplify: iters left: 3 (89 enodes) 1540196959.406 * * [misc]simplify: iters left: 2 (154 enodes) 1540196959.438 * * [misc]simplify: iters left: 1 (238 enodes) 1540196959.496 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196959.496 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196959.496 * * * * [misc]progress: [ 1561 / 6870 ] simplifiying candidate # 1540196959.497 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) 1) 1540196959.497 * * [misc]simplify: iters left: 5 (6 enodes) 1540196959.498 * * [misc]simplify: iters left: 4 (11 enodes) 1540196959.499 * [exit]simplify: Simplified to (sqrt PI) 1540196959.499 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196959.499 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196959.499 * * [misc]simplify: iters left: 6 (17 enodes) 1540196959.502 * * [misc]simplify: iters left: 5 (26 enodes) 1540196959.505 * * [misc]simplify: iters left: 4 (44 enodes) 1540196959.512 * * [misc]simplify: iters left: 3 (89 enodes) 1540196959.529 * * [misc]simplify: iters left: 2 (154 enodes) 1540196959.562 * * [misc]simplify: iters left: 1 (238 enodes) 1540196959.620 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1540196959.620 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (* (pow PI (/ (- k) 2)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1540196959.620 * * * * [misc]progress: [ 1562 / 6870 ] simplifiying candidate # 1540196959.620 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (sqrt (sqrt k))) 1540196959.620 * * [misc]simplify: iters left: 5 (9 enodes) 1540196959.622 * * [misc]simplify: iters left: 4 (14 enodes) 1540196959.624 * * [misc]simplify: iters left: 3 (19 enodes) 1540196959.626 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196959.626 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196959.626 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196959.626 * * [misc]simplify: iters left: 6 (18 enodes) 1540196959.629 * * [misc]simplify: iters left: 5 (29 enodes) 1540196959.633 * * [misc]simplify: iters left: 4 (46 enodes) 1540196959.640 * * [misc]simplify: iters left: 3 (98 enodes) 1540196959.659 * * [misc]simplify: iters left: 2 (205 enodes) 1540196959.722 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1540196959.722 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1540196959.722 * * * * [misc]progress: [ 1563 / 6870 ] simplifiying candidate # 1540196959.722 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) 1) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196959.722 * * [misc]simplify: iters left: 6 (12 enodes) 1540196959.725 * * [misc]simplify: iters left: 5 (20 enodes) 1540196959.728 * * [misc]simplify: iters left: 4 (31 enodes) 1540196959.733 * * [misc]simplify: iters left: 3 (41 enodes) 1540196959.738 * * [misc]simplify: iters left: 2 (51 enodes) 1540196959.743 * * [misc]simplify: iters left: 1 (66 enodes) 1540196959.752 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540196959.752 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))))) 1540196959.752 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540196959.752 * * [misc]simplify: iters left: 6 (16 enodes) 1540196959.754 * * [misc]simplify: iters left: 5 (23 enodes) 1540196959.757 * * [misc]simplify: iters left: 4 (34 enodes) 1540196959.762 * * [misc]simplify: iters left: 3 (49 enodes) 1540196959.768 * * [misc]simplify: iters left: 2 (66 enodes) 1540196959.777 * * [misc]simplify: iters left: 1 (83 enodes) 1540196959.790 * [exit]simplify: Simplified to (* (/ (pow n (- 1/2 (/ k 2))) (pow 2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1540196959.790 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (* (/ (pow n (- 1/2 (/ k 2))) (pow 2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1540196959.790 * * * * [misc]progress: [ 1564 / 6870 ] simplifiying candidate # 1540196959.791 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196959.791 * * [misc]simplify: iters left: 6 (15 enodes) 1540196959.793 * * [misc]simplify: iters left: 5 (22 enodes) 1540196959.796 * * [misc]simplify: iters left: 4 (31 enodes) 1540196959.799 * * [misc]simplify: iters left: 3 (36 enodes) 1540196959.803 * * [misc]simplify: iters left: 2 (37 enodes) 1540196959.808 * [exit]simplify: Simplified to (/ (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196959.808 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196959.808 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196959.808 * * [misc]simplify: iters left: 6 (19 enodes) 1540196959.810 * * [misc]simplify: iters left: 5 (28 enodes) 1540196959.814 * * [misc]simplify: iters left: 4 (39 enodes) 1540196959.820 * * [misc]simplify: iters left: 3 (66 enodes) 1540196959.828 * * [misc]simplify: iters left: 2 (89 enodes) 1540196959.840 * * [misc]simplify: iters left: 1 (136 enodes) 1540196959.860 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196959.860 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196959.860 * * * * [misc]progress: [ 1565 / 6870 ] simplifiying candidate # 1540196959.860 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196959.860 * * [misc]simplify: iters left: 6 (14 enodes) 1540196959.862 * * [misc]simplify: iters left: 5 (19 enodes) 1540196959.865 * * [misc]simplify: iters left: 4 (25 enodes) 1540196959.868 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196959.868 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196959.868 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196959.868 * * [misc]simplify: iters left: 6 (19 enodes) 1540196959.870 * * [misc]simplify: iters left: 5 (28 enodes) 1540196959.874 * * [misc]simplify: iters left: 4 (39 enodes) 1540196959.879 * * [misc]simplify: iters left: 3 (66 enodes) 1540196959.888 * * [misc]simplify: iters left: 2 (89 enodes) 1540196959.900 * * [misc]simplify: iters left: 1 (136 enodes) 1540196959.920 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196959.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196959.920 * * * * [misc]progress: [ 1566 / 6870 ] simplifiying candidate # 1540196959.920 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196959.920 * * [misc]simplify: iters left: 6 (13 enodes) 1540196959.923 * * [misc]simplify: iters left: 5 (21 enodes) 1540196959.926 * * [misc]simplify: iters left: 4 (37 enodes) 1540196959.932 * * [misc]simplify: iters left: 3 (78 enodes) 1540196959.946 * * [misc]simplify: iters left: 2 (140 enodes) 1540196959.970 * * [misc]simplify: iters left: 1 (187 enodes) 1540196960.008 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196960.008 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196960.009 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196960.009 * * [misc]simplify: iters left: 6 (19 enodes) 1540196960.011 * * [misc]simplify: iters left: 5 (30 enodes) 1540196960.015 * * [misc]simplify: iters left: 4 (49 enodes) 1540196960.023 * * [misc]simplify: iters left: 3 (104 enodes) 1540196960.042 * * [misc]simplify: iters left: 2 (212 enodes) 1540196960.101 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196960.101 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196960.101 * * * * [misc]progress: [ 1567 / 6870 ] simplifiying candidate # 1540196960.101 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196960.102 * * [misc]simplify: iters left: 6 (13 enodes) 1540196960.104 * * [misc]simplify: iters left: 5 (21 enodes) 1540196960.108 * * [misc]simplify: iters left: 4 (37 enodes) 1540196960.114 * * [misc]simplify: iters left: 3 (78 enodes) 1540196960.130 * * [misc]simplify: iters left: 2 (140 enodes) 1540196960.154 * * [misc]simplify: iters left: 1 (187 enodes) 1540196960.192 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540196960.192 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196960.193 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196960.193 * * [misc]simplify: iters left: 6 (19 enodes) 1540196960.195 * * [misc]simplify: iters left: 5 (30 enodes) 1540196960.199 * * [misc]simplify: iters left: 4 (49 enodes) 1540196960.207 * * [misc]simplify: iters left: 3 (104 enodes) 1540196960.225 * * [misc]simplify: iters left: 2 (212 enodes) 1540196960.285 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196960.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (/ (sqrt (sqrt k)) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196960.285 * * * * [misc]progress: [ 1568 / 6870 ] simplifiying candidate # 1540196960.286 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196960.286 * * [misc]simplify: iters left: 6 (17 enodes) 1540196960.288 * * [misc]simplify: iters left: 5 (30 enodes) 1540196960.293 * * [misc]simplify: iters left: 4 (66 enodes) 1540196960.305 * * [misc]simplify: iters left: 3 (149 enodes) 1540196960.339 * * [misc]simplify: iters left: 2 (309 enodes) 1540196960.429 * * [misc]simplify: iters left: 1 (496 enodes) 1540196960.638 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196960.638 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196960.638 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196960.638 * * [misc]simplify: iters left: 6 (20 enodes) 1540196960.641 * * [misc]simplify: iters left: 5 (31 enodes) 1540196960.645 * * [misc]simplify: iters left: 4 (50 enodes) 1540196960.653 * * [misc]simplify: iters left: 3 (105 enodes) 1540196960.672 * * [misc]simplify: iters left: 2 (238 enodes) 1540196960.749 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196960.749 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196960.750 * * * * [misc]progress: [ 1569 / 6870 ] simplifiying candidate # 1540196960.750 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196960.750 * * [misc]simplify: iters left: 6 (16 enodes) 1540196960.752 * * [misc]simplify: iters left: 5 (25 enodes) 1540196960.756 * * [misc]simplify: iters left: 4 (44 enodes) 1540196960.762 * * [misc]simplify: iters left: 3 (85 enodes) 1540196960.776 * * [misc]simplify: iters left: 2 (147 enodes) 1540196960.801 * * [misc]simplify: iters left: 1 (195 enodes) 1540196960.840 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k))))) 1540196960.840 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196960.840 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196960.840 * * [misc]simplify: iters left: 6 (20 enodes) 1540196960.843 * * [misc]simplify: iters left: 5 (31 enodes) 1540196960.848 * * [misc]simplify: iters left: 4 (50 enodes) 1540196960.856 * * [misc]simplify: iters left: 3 (105 enodes) 1540196960.876 * * [misc]simplify: iters left: 2 (238 enodes) 1540196960.952 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196960.952 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196960.952 * * * * [misc]progress: [ 1570 / 6870 ] simplifiying candidate # 1540196960.952 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196960.952 * * [misc]simplify: iters left: 6 (12 enodes) 1540196960.954 * * [misc]simplify: iters left: 5 (21 enodes) 1540196960.957 * * [misc]simplify: iters left: 4 (39 enodes) 1540196960.963 * * [misc]simplify: iters left: 3 (93 enodes) 1540196960.987 * * [misc]simplify: iters left: 2 (280 enodes) 1540196961.096 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) 1540196961.096 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196961.097 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196961.097 * * [misc]simplify: iters left: 6 (19 enodes) 1540196961.100 * * [misc]simplify: iters left: 5 (30 enodes) 1540196961.104 * * [misc]simplify: iters left: 4 (49 enodes) 1540196961.111 * * [misc]simplify: iters left: 3 (104 enodes) 1540196961.131 * * [misc]simplify: iters left: 2 (212 enodes) 1540196961.191 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196961.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196961.191 * * * * [misc]progress: [ 1571 / 6870 ] simplifiying candidate # 1540196961.192 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196961.192 * * [misc]simplify: iters left: 6 (14 enodes) 1540196961.194 * * [misc]simplify: iters left: 5 (21 enodes) 1540196961.198 * * [misc]simplify: iters left: 4 (30 enodes) 1540196961.202 * * [misc]simplify: iters left: 3 (44 enodes) 1540196961.208 * * [misc]simplify: iters left: 2 (55 enodes) 1540196961.215 * * [misc]simplify: iters left: 1 (70 enodes) 1540196961.225 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540196961.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196961.225 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196961.225 * * [misc]simplify: iters left: 6 (19 enodes) 1540196961.228 * * [misc]simplify: iters left: 5 (30 enodes) 1540196961.232 * * [misc]simplify: iters left: 4 (49 enodes) 1540196961.240 * * [misc]simplify: iters left: 3 (104 enodes) 1540196961.258 * * [misc]simplify: iters left: 2 (212 enodes) 1540196961.318 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540196961.318 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1540196961.318 * * * * [misc]progress: [ 1572 / 6870 ] simplifiying candidate # 1540196961.318 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196961.318 * * [misc]simplify: iters left: 6 (14 enodes) 1540196961.321 * * [misc]simplify: iters left: 5 (21 enodes) 1540196961.324 * * [misc]simplify: iters left: 4 (30 enodes) 1540196961.330 * * [misc]simplify: iters left: 3 (44 enodes) 1540196961.336 * * [misc]simplify: iters left: 2 (55 enodes) 1540196961.343 * * [misc]simplify: iters left: 1 (70 enodes) 1540196961.353 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540196961.353 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196961.353 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196961.353 * * [misc]simplify: iters left: 6 (19 enodes) 1540196961.356 * * [misc]simplify: iters left: 5 (30 enodes) 1540196961.360 * * [misc]simplify: iters left: 4 (49 enodes) 1540196961.368 * * [misc]simplify: iters left: 3 (104 enodes) 1540196961.386 * * [misc]simplify: iters left: 2 (212 enodes) 1540196961.445 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540196961.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1540196961.445 * * * * [misc]progress: [ 1573 / 6870 ] simplifiying candidate # 1540196961.445 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196961.446 * * [misc]simplify: iters left: 6 (18 enodes) 1540196961.448 * * [misc]simplify: iters left: 5 (28 enodes) 1540196961.452 * * [misc]simplify: iters left: 4 (46 enodes) 1540196961.459 * * [misc]simplify: iters left: 3 (79 enodes) 1540196961.473 * * [misc]simplify: iters left: 2 (134 enodes) 1540196961.495 * * [misc]simplify: iters left: 1 (199 enodes) 1540196961.537 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196961.537 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196961.537 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196961.537 * * [misc]simplify: iters left: 6 (20 enodes) 1540196961.540 * * [misc]simplify: iters left: 5 (31 enodes) 1540196961.544 * * [misc]simplify: iters left: 4 (50 enodes) 1540196961.552 * * [misc]simplify: iters left: 3 (105 enodes) 1540196961.571 * * [misc]simplify: iters left: 2 (238 enodes) 1540196961.648 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196961.648 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196961.648 * * * * [misc]progress: [ 1574 / 6870 ] simplifiying candidate # 1540196961.648 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196961.648 * * [misc]simplify: iters left: 6 (17 enodes) 1540196961.650 * * [misc]simplify: iters left: 5 (25 enodes) 1540196961.654 * * [misc]simplify: iters left: 4 (37 enodes) 1540196961.660 * * [misc]simplify: iters left: 3 (51 enodes) 1540196961.666 * * [misc]simplify: iters left: 2 (62 enodes) 1540196961.674 * * [misc]simplify: iters left: 1 (77 enodes) 1540196961.685 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) 1540196961.685 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196961.685 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196961.685 * * [misc]simplify: iters left: 6 (20 enodes) 1540196961.688 * * [misc]simplify: iters left: 5 (31 enodes) 1540196961.692 * * [misc]simplify: iters left: 4 (50 enodes) 1540196961.700 * * [misc]simplify: iters left: 3 (105 enodes) 1540196961.719 * * [misc]simplify: iters left: 2 (238 enodes) 1540196961.796 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196961.796 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196961.796 * * * * [misc]progress: [ 1575 / 6870 ] simplifiying candidate # 1540196961.796 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196961.796 * * [misc]simplify: iters left: 6 (13 enodes) 1540196961.798 * * [misc]simplify: iters left: 5 (20 enodes) 1540196961.801 * * [misc]simplify: iters left: 4 (30 enodes) 1540196961.805 * * [misc]simplify: iters left: 3 (46 enodes) 1540196961.811 * * [misc]simplify: iters left: 2 (60 enodes) 1540196961.820 * * [misc]simplify: iters left: 1 (96 enodes) 1540196961.839 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540196961.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196961.839 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196961.839 * * [misc]simplify: iters left: 6 (19 enodes) 1540196961.842 * * [misc]simplify: iters left: 5 (30 enodes) 1540196961.846 * * [misc]simplify: iters left: 4 (49 enodes) 1540196961.854 * * [misc]simplify: iters left: 3 (104 enodes) 1540196961.873 * * [misc]simplify: iters left: 2 (212 enodes) 1540196961.933 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))) 1540196961.933 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k))))))) 1540196961.933 * * * * [misc]progress: [ 1576 / 6870 ] simplifiying candidate # 1540196961.933 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196961.933 * * [misc]simplify: iters left: 6 (12 enodes) 1540196961.936 * * [misc]simplify: iters left: 5 (18 enodes) 1540196961.939 * * [misc]simplify: iters left: 4 (27 enodes) 1540196961.943 * * [misc]simplify: iters left: 3 (41 enodes) 1540196961.948 * * [misc]simplify: iters left: 2 (52 enodes) 1540196961.955 * * [misc]simplify: iters left: 1 (67 enodes) 1540196961.965 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196961.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196961.965 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196961.965 * * [misc]simplify: iters left: 6 (19 enodes) 1540196961.968 * * [misc]simplify: iters left: 5 (30 enodes) 1540196961.972 * * [misc]simplify: iters left: 4 (49 enodes) 1540196961.980 * * [misc]simplify: iters left: 3 (104 enodes) 1540196961.999 * * [misc]simplify: iters left: 2 (212 enodes) 1540196962.059 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196962.059 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196962.059 * * * * [misc]progress: [ 1577 / 6870 ] simplifiying candidate # 1540196962.059 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196962.059 * * [misc]simplify: iters left: 6 (12 enodes) 1540196962.062 * * [misc]simplify: iters left: 5 (18 enodes) 1540196962.065 * * [misc]simplify: iters left: 4 (27 enodes) 1540196962.069 * * [misc]simplify: iters left: 3 (41 enodes) 1540196962.074 * * [misc]simplify: iters left: 2 (52 enodes) 1540196962.081 * * [misc]simplify: iters left: 1 (67 enodes) 1540196962.091 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196962.091 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196962.091 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196962.091 * * [misc]simplify: iters left: 6 (19 enodes) 1540196962.094 * * [misc]simplify: iters left: 5 (30 enodes) 1540196962.098 * * [misc]simplify: iters left: 4 (49 enodes) 1540196962.106 * * [misc]simplify: iters left: 3 (104 enodes) 1540196962.124 * * [misc]simplify: iters left: 2 (212 enodes) 1540196962.183 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196962.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196962.184 * * * * [misc]progress: [ 1578 / 6870 ] simplifiying candidate # 1540196962.184 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196962.184 * * [misc]simplify: iters left: 6 (16 enodes) 1540196962.186 * * [misc]simplify: iters left: 5 (25 enodes) 1540196962.190 * * [misc]simplify: iters left: 4 (43 enodes) 1540196962.198 * * [misc]simplify: iters left: 3 (76 enodes) 1540196962.210 * * [misc]simplify: iters left: 2 (131 enodes) 1540196962.233 * * [misc]simplify: iters left: 1 (198 enodes) 1540196962.274 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196962.274 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196962.274 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196962.274 * * [misc]simplify: iters left: 6 (20 enodes) 1540196962.277 * * [misc]simplify: iters left: 5 (31 enodes) 1540196962.281 * * [misc]simplify: iters left: 4 (50 enodes) 1540196962.289 * * [misc]simplify: iters left: 3 (105 enodes) 1540196962.309 * * [misc]simplify: iters left: 2 (238 enodes) 1540196962.384 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196962.384 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196962.384 * * * * [misc]progress: [ 1579 / 6870 ] simplifiying candidate # 1540196962.384 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196962.384 * * [misc]simplify: iters left: 6 (15 enodes) 1540196962.387 * * [misc]simplify: iters left: 5 (22 enodes) 1540196962.391 * * [misc]simplify: iters left: 4 (34 enodes) 1540196962.395 * * [misc]simplify: iters left: 3 (48 enodes) 1540196962.401 * * [misc]simplify: iters left: 2 (59 enodes) 1540196962.408 * * [misc]simplify: iters left: 1 (74 enodes) 1540196962.418 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196962.418 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196962.419 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196962.419 * * [misc]simplify: iters left: 6 (20 enodes) 1540196962.421 * * [misc]simplify: iters left: 5 (31 enodes) 1540196962.426 * * [misc]simplify: iters left: 4 (50 enodes) 1540196962.433 * * [misc]simplify: iters left: 3 (105 enodes) 1540196962.453 * * [misc]simplify: iters left: 2 (238 enodes) 1540196962.529 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196962.529 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196962.530 * * * * [misc]progress: [ 1580 / 6870 ] simplifiying candidate # 1540196962.530 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196962.530 * * [misc]simplify: iters left: 6 (11 enodes) 1540196962.531 * * [misc]simplify: iters left: 5 (18 enodes) 1540196962.534 * * [misc]simplify: iters left: 4 (31 enodes) 1540196962.538 * * [misc]simplify: iters left: 3 (40 enodes) 1540196962.542 * * [misc]simplify: iters left: 2 (53 enodes) 1540196962.549 * * [misc]simplify: iters left: 1 (78 enodes) 1540196962.561 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196962.561 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196962.561 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196962.561 * * [misc]simplify: iters left: 6 (19 enodes) 1540196962.564 * * [misc]simplify: iters left: 5 (30 enodes) 1540196962.568 * * [misc]simplify: iters left: 4 (49 enodes) 1540196962.576 * * [misc]simplify: iters left: 3 (104 enodes) 1540196962.595 * * [misc]simplify: iters left: 2 (212 enodes) 1540196962.655 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196962.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196962.655 * * * * [misc]progress: [ 1581 / 6870 ] simplifiying candidate # 1540196962.656 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt 1) (pow 2 1/2))) 1540196962.656 * * [misc]simplify: iters left: 6 (13 enodes) 1540196962.659 * * [misc]simplify: iters left: 5 (21 enodes) 1540196962.662 * * [misc]simplify: iters left: 4 (33 enodes) 1540196962.666 * * [misc]simplify: iters left: 3 (49 enodes) 1540196962.673 * * [misc]simplify: iters left: 2 (66 enodes) 1540196962.681 * * [misc]simplify: iters left: 1 (89 enodes) 1540196962.691 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540196962.691 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196962.691 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196962.691 * * [misc]simplify: iters left: 6 (18 enodes) 1540196962.693 * * [misc]simplify: iters left: 5 (29 enodes) 1540196962.697 * * [misc]simplify: iters left: 4 (48 enodes) 1540196962.705 * * [misc]simplify: iters left: 3 (103 enodes) 1540196962.723 * * [misc]simplify: iters left: 2 (234 enodes) 1540196962.804 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196962.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196962.804 * * * * [misc]progress: [ 1582 / 6870 ] simplifiying candidate # 1540196962.804 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt 1) (pow 2 1/2))) 1540196962.804 * * [misc]simplify: iters left: 6 (13 enodes) 1540196962.807 * * [misc]simplify: iters left: 5 (21 enodes) 1540196962.811 * * [misc]simplify: iters left: 4 (33 enodes) 1540196962.815 * * [misc]simplify: iters left: 3 (49 enodes) 1540196962.821 * * [misc]simplify: iters left: 2 (66 enodes) 1540196962.829 * * [misc]simplify: iters left: 1 (89 enodes) 1540196962.839 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540196962.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196962.839 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196962.839 * * [misc]simplify: iters left: 6 (18 enodes) 1540196962.842 * * [misc]simplify: iters left: 5 (29 enodes) 1540196962.846 * * [misc]simplify: iters left: 4 (48 enodes) 1540196962.853 * * [misc]simplify: iters left: 3 (103 enodes) 1540196962.874 * * [misc]simplify: iters left: 2 (234 enodes) 1540196962.953 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196962.953 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196962.954 * * * * [misc]progress: [ 1583 / 6870 ] simplifiying candidate # 1540196962.954 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196962.954 * * [misc]simplify: iters left: 6 (17 enodes) 1540196962.957 * * [misc]simplify: iters left: 5 (28 enodes) 1540196962.961 * * [misc]simplify: iters left: 4 (50 enodes) 1540196962.968 * * [misc]simplify: iters left: 3 (92 enodes) 1540196962.983 * * [misc]simplify: iters left: 2 (174 enodes) 1540196963.020 * * [misc]simplify: iters left: 1 (387 enodes) 1540196963.156 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) 1540196963.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196963.156 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196963.156 * * [misc]simplify: iters left: 6 (19 enodes) 1540196963.159 * * [misc]simplify: iters left: 5 (30 enodes) 1540196963.163 * * [misc]simplify: iters left: 4 (49 enodes) 1540196963.171 * * [misc]simplify: iters left: 3 (104 enodes) 1540196963.191 * * [misc]simplify: iters left: 2 (212 enodes) 1540196963.251 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196963.251 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196963.251 * * * * [misc]progress: [ 1584 / 6870 ] simplifiying candidate # 1540196963.251 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196963.252 * * [misc]simplify: iters left: 6 (16 enodes) 1540196963.254 * * [misc]simplify: iters left: 5 (25 enodes) 1540196963.257 * * [misc]simplify: iters left: 4 (40 enodes) 1540196963.263 * * [misc]simplify: iters left: 3 (56 enodes) 1540196963.269 * * [misc]simplify: iters left: 2 (77 enodes) 1540196963.279 * * [misc]simplify: iters left: 1 (131 enodes) 1540196963.300 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540196963.300 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196963.300 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196963.301 * * [misc]simplify: iters left: 6 (19 enodes) 1540196963.303 * * [misc]simplify: iters left: 5 (30 enodes) 1540196963.307 * * [misc]simplify: iters left: 4 (49 enodes) 1540196963.317 * * [misc]simplify: iters left: 3 (104 enodes) 1540196963.335 * * [misc]simplify: iters left: 2 (212 enodes) 1540196963.395 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196963.395 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196963.395 * * * * [misc]progress: [ 1585 / 6870 ] simplifiying candidate # 1540196963.395 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt 1) 1)) 1540196963.395 * * [misc]simplify: iters left: 6 (11 enodes) 1540196963.397 * * [misc]simplify: iters left: 5 (18 enodes) 1540196963.399 * * [misc]simplify: iters left: 4 (21 enodes) 1540196963.402 * * [misc]simplify: iters left: 3 (26 enodes) 1540196963.404 * * [misc]simplify: iters left: 2 (30 enodes) 1540196963.408 * * [misc]simplify: iters left: 1 (46 enodes) 1540196963.416 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196963.416 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196963.416 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196963.416 * * [misc]simplify: iters left: 6 (18 enodes) 1540196963.418 * * [misc]simplify: iters left: 5 (29 enodes) 1540196963.422 * * [misc]simplify: iters left: 4 (48 enodes) 1540196963.430 * * [misc]simplify: iters left: 3 (103 enodes) 1540196963.450 * * [misc]simplify: iters left: 2 (234 enodes) 1540196963.530 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196963.530 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196963.530 * * * * [misc]progress: [ 1586 / 6870 ] simplifiying candidate # 1540196963.531 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196963.531 * * [misc]simplify: iters left: 6 (12 enodes) 1540196963.533 * * [misc]simplify: iters left: 5 (18 enodes) 1540196963.536 * * [misc]simplify: iters left: 4 (27 enodes) 1540196963.540 * * [misc]simplify: iters left: 3 (41 enodes) 1540196963.545 * * [misc]simplify: iters left: 2 (52 enodes) 1540196963.552 * * [misc]simplify: iters left: 1 (67 enodes) 1540196963.562 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196963.562 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196963.562 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196963.562 * * [misc]simplify: iters left: 6 (19 enodes) 1540196963.565 * * [misc]simplify: iters left: 5 (30 enodes) 1540196963.569 * * [misc]simplify: iters left: 4 (49 enodes) 1540196963.577 * * [misc]simplify: iters left: 3 (104 enodes) 1540196963.597 * * [misc]simplify: iters left: 2 (212 enodes) 1540196963.656 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196963.656 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196963.656 * * * * [misc]progress: [ 1587 / 6870 ] simplifiying candidate # 1540196963.657 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196963.657 * * [misc]simplify: iters left: 6 (12 enodes) 1540196963.659 * * [misc]simplify: iters left: 5 (18 enodes) 1540196963.662 * * [misc]simplify: iters left: 4 (27 enodes) 1540196963.666 * * [misc]simplify: iters left: 3 (41 enodes) 1540196963.672 * * [misc]simplify: iters left: 2 (52 enodes) 1540196963.678 * * [misc]simplify: iters left: 1 (67 enodes) 1540196963.688 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196963.688 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196963.688 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196963.688 * * [misc]simplify: iters left: 6 (19 enodes) 1540196963.691 * * [misc]simplify: iters left: 5 (30 enodes) 1540196963.695 * * [misc]simplify: iters left: 4 (49 enodes) 1540196963.703 * * [misc]simplify: iters left: 3 (104 enodes) 1540196963.723 * * [misc]simplify: iters left: 2 (212 enodes) 1540196963.783 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196963.783 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196963.783 * * * * [misc]progress: [ 1588 / 6870 ] simplifiying candidate # 1540196963.783 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196963.783 * * [misc]simplify: iters left: 6 (16 enodes) 1540196963.785 * * [misc]simplify: iters left: 5 (25 enodes) 1540196963.789 * * [misc]simplify: iters left: 4 (43 enodes) 1540196963.796 * * [misc]simplify: iters left: 3 (76 enodes) 1540196963.808 * * [misc]simplify: iters left: 2 (131 enodes) 1540196963.830 * * [misc]simplify: iters left: 1 (198 enodes) 1540196963.872 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196963.872 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196963.872 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196963.872 * * [misc]simplify: iters left: 6 (20 enodes) 1540196963.875 * * [misc]simplify: iters left: 5 (31 enodes) 1540196963.879 * * [misc]simplify: iters left: 4 (50 enodes) 1540196963.887 * * [misc]simplify: iters left: 3 (105 enodes) 1540196963.907 * * [misc]simplify: iters left: 2 (238 enodes) 1540196963.984 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196963.984 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196963.984 * * * * [misc]progress: [ 1589 / 6870 ] simplifiying candidate # 1540196963.984 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196963.984 * * [misc]simplify: iters left: 6 (15 enodes) 1540196963.986 * * [misc]simplify: iters left: 5 (22 enodes) 1540196963.989 * * [misc]simplify: iters left: 4 (34 enodes) 1540196963.993 * * [misc]simplify: iters left: 3 (48 enodes) 1540196963.999 * * [misc]simplify: iters left: 2 (59 enodes) 1540196964.006 * * [misc]simplify: iters left: 1 (74 enodes) 1540196964.016 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196964.016 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196964.017 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196964.017 * * [misc]simplify: iters left: 6 (20 enodes) 1540196964.020 * * [misc]simplify: iters left: 5 (31 enodes) 1540196964.024 * * [misc]simplify: iters left: 4 (50 enodes) 1540196964.032 * * [misc]simplify: iters left: 3 (105 enodes) 1540196964.052 * * [misc]simplify: iters left: 2 (238 enodes) 1540196964.128 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196964.128 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196964.128 * * * * [misc]progress: [ 1590 / 6870 ] simplifiying candidate # 1540196964.128 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196964.128 * * [misc]simplify: iters left: 6 (11 enodes) 1540196964.130 * * [misc]simplify: iters left: 5 (18 enodes) 1540196964.133 * * [misc]simplify: iters left: 4 (31 enodes) 1540196964.137 * * [misc]simplify: iters left: 3 (40 enodes) 1540196964.141 * * [misc]simplify: iters left: 2 (53 enodes) 1540196964.147 * * [misc]simplify: iters left: 1 (78 enodes) 1540196964.159 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196964.159 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196964.159 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196964.160 * * [misc]simplify: iters left: 6 (19 enodes) 1540196964.162 * * [misc]simplify: iters left: 5 (30 enodes) 1540196964.166 * * [misc]simplify: iters left: 4 (49 enodes) 1540196964.174 * * [misc]simplify: iters left: 3 (104 enodes) 1540196964.194 * * [misc]simplify: iters left: 2 (212 enodes) 1540196964.254 * [exit]simplify: Simplified to (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))) 1540196964.254 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (* (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2)))) (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k))))))) 1540196964.254 * * * * [misc]progress: [ 1591 / 6870 ] simplifiying candidate # 1540196964.254 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ 1 (pow 2 1/2))) 1540196964.254 * * [misc]simplify: iters left: 6 (12 enodes) 1540196964.257 * * [misc]simplify: iters left: 5 (20 enodes) 1540196964.260 * * [misc]simplify: iters left: 4 (31 enodes) 1540196964.265 * * [misc]simplify: iters left: 3 (49 enodes) 1540196964.272 * * [misc]simplify: iters left: 2 (67 enodes) 1540196964.279 * * [misc]simplify: iters left: 1 (76 enodes) 1540196964.287 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540196964.287 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196964.288 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196964.288 * * [misc]simplify: iters left: 6 (18 enodes) 1540196964.290 * * [misc]simplify: iters left: 5 (29 enodes) 1540196964.294 * * [misc]simplify: iters left: 4 (48 enodes) 1540196964.302 * * [misc]simplify: iters left: 3 (103 enodes) 1540196964.322 * * [misc]simplify: iters left: 2 (234 enodes) 1540196964.402 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196964.402 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196964.402 * * * * [misc]progress: [ 1592 / 6870 ] simplifiying candidate # 1540196964.403 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ 1 (pow 2 1/2))) 1540196964.403 * * [misc]simplify: iters left: 6 (12 enodes) 1540196964.405 * * [misc]simplify: iters left: 5 (20 enodes) 1540196964.408 * * [misc]simplify: iters left: 4 (31 enodes) 1540196964.413 * * [misc]simplify: iters left: 3 (49 enodes) 1540196964.420 * * [misc]simplify: iters left: 2 (67 enodes) 1540196964.427 * * [misc]simplify: iters left: 1 (76 enodes) 1540196964.435 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) 1540196964.435 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196964.436 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196964.436 * * [misc]simplify: iters left: 6 (18 enodes) 1540196964.438 * * [misc]simplify: iters left: 5 (29 enodes) 1540196964.442 * * [misc]simplify: iters left: 4 (48 enodes) 1540196964.451 * * [misc]simplify: iters left: 3 (103 enodes) 1540196964.470 * * [misc]simplify: iters left: 2 (234 enodes) 1540196964.550 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))) 1540196964.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (/ (- k) 2)))))) 1540196964.550 * * * * [misc]progress: [ 1593 / 6870 ] simplifiying candidate # 1540196964.550 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196964.551 * * [misc]simplify: iters left: 6 (16 enodes) 1540196964.553 * * [misc]simplify: iters left: 5 (27 enodes) 1540196964.557 * * [misc]simplify: iters left: 4 (47 enodes) 1540196964.564 * * [misc]simplify: iters left: 3 (86 enodes) 1540196964.581 * * [misc]simplify: iters left: 2 (158 enodes) 1540196964.612 * * [misc]simplify: iters left: 1 (366 enodes) 1540196964.792 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540196964.792 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196964.792 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196964.792 * * [misc]simplify: iters left: 6 (19 enodes) 1540196964.795 * * [misc]simplify: iters left: 5 (30 enodes) 1540196964.799 * * [misc]simplify: iters left: 4 (49 enodes) 1540196964.807 * * [misc]simplify: iters left: 3 (104 enodes) 1540196964.828 * * [misc]simplify: iters left: 2 (212 enodes) 1540196964.888 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196964.888 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196964.888 * * * * [misc]progress: [ 1594 / 6870 ] simplifiying candidate # 1540196964.888 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196964.888 * * [misc]simplify: iters left: 6 (15 enodes) 1540196964.892 * * [misc]simplify: iters left: 5 (24 enodes) 1540196964.895 * * [misc]simplify: iters left: 4 (38 enodes) 1540196964.900 * * [misc]simplify: iters left: 3 (56 enodes) 1540196964.907 * * [misc]simplify: iters left: 2 (75 enodes) 1540196964.915 * * [misc]simplify: iters left: 1 (103 enodes) 1540196964.928 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) 1540196964.928 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196964.929 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196964.929 * * [misc]simplify: iters left: 6 (19 enodes) 1540196964.931 * * [misc]simplify: iters left: 5 (30 enodes) 1540196964.936 * * [misc]simplify: iters left: 4 (49 enodes) 1540196964.944 * * [misc]simplify: iters left: 3 (104 enodes) 1540196964.963 * * [misc]simplify: iters left: 2 (212 enodes) 1540196965.021 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196965.021 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt PI))) (* (pow PI (/ (- k) 2)) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196965.021 * * * * [misc]progress: [ 1595 / 6870 ] simplifiying candidate # 1540196965.022 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ 1 1)) 1540196965.022 * * [misc]simplify: iters left: 6 (10 enodes) 1540196965.023 * * [misc]simplify: iters left: 5 (15 enodes) 1540196965.026 * * [misc]simplify: iters left: 4 (18 enodes) 1540196965.029 * * [misc]simplify: iters left: 3 (21 enodes) 1540196965.031 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196965.031 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196965.031 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196965.031 * * [misc]simplify: iters left: 6 (18 enodes) 1540196965.033 * * [misc]simplify: iters left: 5 (29 enodes) 1540196965.038 * * [misc]simplify: iters left: 4 (48 enodes) 1540196965.045 * * [misc]simplify: iters left: 3 (103 enodes) 1540196965.064 * * [misc]simplify: iters left: 2 (234 enodes) 1540196965.145 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196965.145 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196965.145 * * * * [misc]progress: [ 1596 / 6870 ] simplifiying candidate # 1540196965.145 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) 1) 1540196965.145 * * [misc]simplify: iters left: 6 (9 enodes) 1540196965.147 * * [misc]simplify: iters left: 5 (14 enodes) 1540196965.148 * * [misc]simplify: iters left: 4 (17 enodes) 1540196965.151 * * [misc]simplify: iters left: 3 (20 enodes) 1540196965.153 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1540196965.153 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196965.153 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196965.153 * * [misc]simplify: iters left: 6 (18 enodes) 1540196965.155 * * [misc]simplify: iters left: 5 (29 enodes) 1540196965.161 * * [misc]simplify: iters left: 4 (48 enodes) 1540196965.169 * * [misc]simplify: iters left: 3 (103 enodes) 1540196965.187 * * [misc]simplify: iters left: 2 (234 enodes) 1540196965.267 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))) 1540196965.267 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1540196965.267 * * * * [misc]progress: [ 1597 / 6870 ] simplifiying candidate # 1540196965.267 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (sqrt (sqrt k))) 1540196965.268 * * [misc]simplify: iters left: 6 (8 enodes) 1540196965.269 * * [misc]simplify: iters left: 5 (11 enodes) 1540196965.270 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1540196965.270 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196965.270 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196965.270 * * [misc]simplify: iters left: 6 (16 enodes) 1540196965.273 * * [misc]simplify: iters left: 5 (27 enodes) 1540196965.276 * * [misc]simplify: iters left: 4 (41 enodes) 1540196965.283 * * [misc]simplify: iters left: 3 (84 enodes) 1540196965.298 * * [misc]simplify: iters left: 2 (123 enodes) 1540196965.318 * * [misc]simplify: iters left: 1 (228 enodes) 1540196965.381 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2))))) 1540196965.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow n (- 1/2 (/ k 2))) (* (pow PI (/ (- k) 2)) (pow 2 (- 1/2 (/ k 2))))))) 1540196965.381 * * * * [misc]progress: [ 1598 / 6870 ] simplifiying candidate # 1540196965.381 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196965.381 * * [misc]simplify: iters left: 6 (11 enodes) 1540196965.384 * * [misc]simplify: iters left: 5 (17 enodes) 1540196965.386 * * [misc]simplify: iters left: 4 (26 enodes) 1540196965.391 * * [misc]simplify: iters left: 3 (35 enodes) 1540196965.395 * * [misc]simplify: iters left: 2 (39 enodes) 1540196965.399 * * [misc]simplify: iters left: 1 (45 enodes) 1540196965.405 * [exit]simplify: Simplified to (/ (sqrt 2) (/ (sqrt k) (sqrt PI))) 1540196965.405 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt k) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))))) 1540196965.405 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (pow 2 (/ k 2))) 1540196965.405 * * [misc]simplify: iters left: 6 (15 enodes) 1540196965.408 * * [misc]simplify: iters left: 5 (24 enodes) 1540196965.411 * * [misc]simplify: iters left: 4 (35 enodes) 1540196965.416 * * [misc]simplify: iters left: 3 (62 enodes) 1540196965.426 * * [misc]simplify: iters left: 2 (105 enodes) 1540196965.442 * * [misc]simplify: iters left: 1 (176 enodes) 1540196965.469 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196965.470 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt 2) (/ (sqrt k) (sqrt PI))) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196965.470 * * * * [misc]progress: [ 1599 / 6870 ] simplifiying candidate # 1540196965.470 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196965.470 * * [misc]simplify: iters left: 6 (18 enodes) 1540196965.473 * * [misc]simplify: iters left: 5 (28 enodes) 1540196965.476 * * [misc]simplify: iters left: 4 (49 enodes) 1540196965.484 * * [misc]simplify: iters left: 3 (84 enodes) 1540196965.498 * * [misc]simplify: iters left: 2 (131 enodes) 1540196965.522 * * [misc]simplify: iters left: 1 (197 enodes) 1540196965.561 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196965.561 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196965.561 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196965.561 * * [misc]simplify: iters left: 6 (17 enodes) 1540196965.563 * * [misc]simplify: iters left: 5 (22 enodes) 1540196965.566 * * [misc]simplify: iters left: 4 (26 enodes) 1540196965.570 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196965.570 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196965.570 * * * * [misc]progress: [ 1600 / 6870 ] simplifiying candidate # 1540196965.570 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196965.570 * * [misc]simplify: iters left: 6 (17 enodes) 1540196965.572 * * [misc]simplify: iters left: 5 (25 enodes) 1540196965.576 * * [misc]simplify: iters left: 4 (38 enodes) 1540196965.581 * * [misc]simplify: iters left: 3 (53 enodes) 1540196965.587 * * [misc]simplify: iters left: 2 (70 enodes) 1540196965.596 * * [misc]simplify: iters left: 1 (87 enodes) 1540196965.608 * [exit]simplify: Simplified to (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196965.608 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196965.608 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196965.608 * * [misc]simplify: iters left: 6 (17 enodes) 1540196965.610 * * [misc]simplify: iters left: 5 (22 enodes) 1540196965.613 * * [misc]simplify: iters left: 4 (26 enodes) 1540196965.617 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196965.617 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196965.617 * * * * [misc]progress: [ 1601 / 6870 ] simplifiying candidate # 1540196965.617 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196965.617 * * [misc]simplify: iters left: 6 (16 enodes) 1540196965.620 * * [misc]simplify: iters left: 5 (27 enodes) 1540196965.624 * * [misc]simplify: iters left: 4 (55 enodes) 1540196965.636 * * [misc]simplify: iters left: 3 (157 enodes) 1540196965.682 * * [misc]simplify: iters left: 2 (411 enodes) 1540196965.874 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (/ (sqrt (sqrt k)) (sqrt n))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196965.874 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (/ (sqrt (sqrt k)) (sqrt n))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196965.875 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196965.875 * * [misc]simplify: iters left: 6 (15 enodes) 1540196965.877 * * [misc]simplify: iters left: 5 (21 enodes) 1540196965.880 * * [misc]simplify: iters left: 4 (30 enodes) 1540196965.884 * * [misc]simplify: iters left: 3 (44 enodes) 1540196965.889 * * [misc]simplify: iters left: 2 (55 enodes) 1540196965.895 * * [misc]simplify: iters left: 1 (70 enodes) 1540196965.906 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540196965.906 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (/ (sqrt (sqrt k)) (sqrt n))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))))) 1540196965.906 * * * * [misc]progress: [ 1602 / 6870 ] simplifiying candidate # 1540196965.906 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196965.906 * * [misc]simplify: iters left: 6 (16 enodes) 1540196965.909 * * [misc]simplify: iters left: 5 (27 enodes) 1540196965.913 * * [misc]simplify: iters left: 4 (55 enodes) 1540196965.926 * * [misc]simplify: iters left: 3 (157 enodes) 1540196965.972 * * [misc]simplify: iters left: 2 (411 enodes) 1540196966.164 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (/ (sqrt (sqrt k)) (sqrt n))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196966.164 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (/ (sqrt (sqrt k)) (sqrt n))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196966.165 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196966.165 * * [misc]simplify: iters left: 6 (15 enodes) 1540196966.167 * * [misc]simplify: iters left: 5 (21 enodes) 1540196966.169 * * [misc]simplify: iters left: 4 (30 enodes) 1540196966.174 * * [misc]simplify: iters left: 3 (44 enodes) 1540196966.179 * * [misc]simplify: iters left: 2 (55 enodes) 1540196966.185 * * [misc]simplify: iters left: 1 (70 enodes) 1540196966.196 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540196966.196 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (/ (sqrt (sqrt k)) (sqrt n))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))))) 1540196966.196 * * * * [misc]progress: [ 1603 / 6870 ] simplifiying candidate # 1540196966.196 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196966.197 * * [misc]simplify: iters left: 6 (20 enodes) 1540196966.199 * * [misc]simplify: iters left: 5 (36 enodes) 1540196966.205 * * [misc]simplify: iters left: 4 (87 enodes) 1540196966.225 * * [misc]simplify: iters left: 3 (259 enodes) 1540196966.332 * [exit]simplify: Simplified to (* (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196966.332 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196966.332 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196966.332 * * [misc]simplify: iters left: 6 (18 enodes) 1540196966.334 * * [misc]simplify: iters left: 5 (25 enodes) 1540196966.340 * * [misc]simplify: iters left: 4 (35 enodes) 1540196966.344 * * [misc]simplify: iters left: 3 (49 enodes) 1540196966.350 * * [misc]simplify: iters left: 2 (60 enodes) 1540196966.357 * * [misc]simplify: iters left: 1 (75 enodes) 1540196966.368 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196966.368 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196966.369 * * * * [misc]progress: [ 1604 / 6870 ] simplifiying candidate # 1540196966.369 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196966.369 * * [misc]simplify: iters left: 6 (19 enodes) 1540196966.372 * * [misc]simplify: iters left: 5 (31 enodes) 1540196966.376 * * [misc]simplify: iters left: 4 (62 enodes) 1540196966.387 * * [misc]simplify: iters left: 3 (164 enodes) 1540196966.435 * * [misc]simplify: iters left: 2 (419 enodes) 1540196966.632 * [exit]simplify: Simplified to (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196966.632 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196966.632 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196966.632 * * [misc]simplify: iters left: 6 (18 enodes) 1540196966.636 * * [misc]simplify: iters left: 5 (25 enodes) 1540196966.640 * * [misc]simplify: iters left: 4 (35 enodes) 1540196966.644 * * [misc]simplify: iters left: 3 (49 enodes) 1540196966.650 * * [misc]simplify: iters left: 2 (60 enodes) 1540196966.657 * * [misc]simplify: iters left: 1 (75 enodes) 1540196966.668 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196966.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (/ (sqrt n) (sqrt (sqrt k)))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196966.669 * * * * [misc]progress: [ 1605 / 6870 ] simplifiying candidate # 1540196966.670 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196966.670 * * [misc]simplify: iters left: 6 (15 enodes) 1540196966.672 * * [misc]simplify: iters left: 5 (27 enodes) 1540196966.677 * * [misc]simplify: iters left: 4 (55 enodes) 1540196966.686 * * [misc]simplify: iters left: 3 (153 enodes) 1540196966.730 * * [misc]simplify: iters left: 2 (482 enodes) 1540196967.105 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt n) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196967.105 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt n) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196967.105 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196967.105 * * [misc]simplify: iters left: 6 (17 enodes) 1540196967.107 * * [misc]simplify: iters left: 5 (24 enodes) 1540196967.111 * * [misc]simplify: iters left: 4 (34 enodes) 1540196967.115 * * [misc]simplify: iters left: 3 (48 enodes) 1540196967.121 * * [misc]simplify: iters left: 2 (59 enodes) 1540196967.128 * * [misc]simplify: iters left: 1 (74 enodes) 1540196967.139 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (- 1/2 (/ k 2))))) 1540196967.139 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt n) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (- 1/2 (/ k 2))))))) 1540196967.139 * * * * [misc]progress: [ 1606 / 6870 ] simplifiying candidate # 1540196967.139 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196967.140 * * [misc]simplify: iters left: 6 (17 enodes) 1540196967.143 * * [misc]simplify: iters left: 5 (27 enodes) 1540196967.147 * * [misc]simplify: iters left: 4 (45 enodes) 1540196967.154 * * [misc]simplify: iters left: 3 (93 enodes) 1540196967.174 * * [misc]simplify: iters left: 2 (180 enodes) 1540196967.214 * * [misc]simplify: iters left: 1 (321 enodes) 1540196967.319 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt k)))) 1540196967.320 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196967.320 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196967.320 * * [misc]simplify: iters left: 6 (15 enodes) 1540196967.322 * * [misc]simplify: iters left: 5 (21 enodes) 1540196967.325 * * [misc]simplify: iters left: 4 (30 enodes) 1540196967.329 * * [misc]simplify: iters left: 3 (44 enodes) 1540196967.334 * * [misc]simplify: iters left: 2 (55 enodes) 1540196967.341 * * [misc]simplify: iters left: 1 (70 enodes) 1540196967.353 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540196967.353 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt k)))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))))) 1540196967.353 * * * * [misc]progress: [ 1607 / 6870 ] simplifiying candidate # 1540196967.353 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196967.353 * * [misc]simplify: iters left: 6 (17 enodes) 1540196967.356 * * [misc]simplify: iters left: 5 (27 enodes) 1540196967.361 * * [misc]simplify: iters left: 4 (45 enodes) 1540196967.368 * * [misc]simplify: iters left: 3 (93 enodes) 1540196967.386 * * [misc]simplify: iters left: 2 (180 enodes) 1540196967.429 * * [misc]simplify: iters left: 1 (321 enodes) 1540196967.533 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt k)))) 1540196967.533 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196967.533 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196967.533 * * [misc]simplify: iters left: 6 (15 enodes) 1540196967.537 * * [misc]simplify: iters left: 5 (21 enodes) 1540196967.539 * * [misc]simplify: iters left: 4 (30 enodes) 1540196967.544 * * [misc]simplify: iters left: 3 (44 enodes) 1540196967.549 * * [misc]simplify: iters left: 2 (55 enodes) 1540196967.555 * * [misc]simplify: iters left: 1 (70 enodes) 1540196967.566 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540196967.566 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (/ (sqrt n) (sqrt (sqrt k)))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))))) 1540196967.566 * * * * [misc]progress: [ 1608 / 6870 ] simplifiying candidate # 1540196967.566 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196967.567 * * [misc]simplify: iters left: 6 (21 enodes) 1540196967.570 * * [misc]simplify: iters left: 5 (34 enodes) 1540196967.574 * * [misc]simplify: iters left: 4 (61 enodes) 1540196967.584 * * [misc]simplify: iters left: 3 (140 enodes) 1540196967.618 * * [misc]simplify: iters left: 2 (336 enodes) 1540196967.758 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))))) 1540196967.758 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196967.758 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196967.758 * * [misc]simplify: iters left: 6 (18 enodes) 1540196967.761 * * [misc]simplify: iters left: 5 (25 enodes) 1540196967.764 * * [misc]simplify: iters left: 4 (35 enodes) 1540196967.768 * * [misc]simplify: iters left: 3 (49 enodes) 1540196967.774 * * [misc]simplify: iters left: 2 (60 enodes) 1540196967.783 * * [misc]simplify: iters left: 1 (75 enodes) 1540196967.795 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196967.795 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196967.795 * * * * [misc]progress: [ 1609 / 6870 ] simplifiying candidate # 1540196967.795 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196967.795 * * [misc]simplify: iters left: 6 (20 enodes) 1540196967.798 * * [misc]simplify: iters left: 5 (31 enodes) 1540196967.802 * * [misc]simplify: iters left: 4 (52 enodes) 1540196967.810 * * [misc]simplify: iters left: 3 (100 enodes) 1540196967.828 * * [misc]simplify: iters left: 2 (187 enodes) 1540196967.869 * * [misc]simplify: iters left: 1 (323 enodes) 1540196967.971 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (sqrt n) (sqrt PI))) (fabs (cbrt (sqrt k))))) 1540196967.971 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (sqrt n) (sqrt PI))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196967.971 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196967.972 * * [misc]simplify: iters left: 6 (18 enodes) 1540196967.974 * * [misc]simplify: iters left: 5 (25 enodes) 1540196967.978 * * [misc]simplify: iters left: 4 (35 enodes) 1540196967.982 * * [misc]simplify: iters left: 3 (49 enodes) 1540196967.988 * * [misc]simplify: iters left: 2 (60 enodes) 1540196967.995 * * [misc]simplify: iters left: 1 (75 enodes) 1540196968.006 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196968.006 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (sqrt n) (sqrt PI))) (fabs (cbrt (sqrt k))))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196968.006 * * * * [misc]progress: [ 1610 / 6870 ] simplifiying candidate # 1540196968.007 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196968.007 * * [misc]simplify: iters left: 6 (16 enodes) 1540196968.009 * * [misc]simplify: iters left: 5 (26 enodes) 1540196968.013 * * [misc]simplify: iters left: 4 (41 enodes) 1540196968.019 * * [misc]simplify: iters left: 3 (75 enodes) 1540196968.034 * * [misc]simplify: iters left: 2 (154 enodes) 1540196968.078 * * [misc]simplify: iters left: 1 (321 enodes) 1540196968.194 * [exit]simplify: Simplified to (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) 1540196968.194 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196968.194 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196968.194 * * [misc]simplify: iters left: 6 (17 enodes) 1540196968.197 * * [misc]simplify: iters left: 5 (24 enodes) 1540196968.200 * * [misc]simplify: iters left: 4 (34 enodes) 1540196968.205 * * [misc]simplify: iters left: 3 (48 enodes) 1540196968.210 * * [misc]simplify: iters left: 2 (59 enodes) 1540196968.217 * * [misc]simplify: iters left: 1 (74 enodes) 1540196968.231 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (- 1/2 (/ k 2))))) 1540196968.231 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (fabs (cbrt (sqrt k)))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (- 1/2 (/ k 2))))))) 1540196968.231 * * * * [misc]progress: [ 1611 / 6870 ] simplifiying candidate # 1540196968.231 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196968.231 * * [misc]simplify: iters left: 6 (15 enodes) 1540196968.234 * * [misc]simplify: iters left: 5 (24 enodes) 1540196968.238 * * [misc]simplify: iters left: 4 (42 enodes) 1540196968.245 * * [misc]simplify: iters left: 3 (90 enodes) 1540196968.262 * * [misc]simplify: iters left: 2 (177 enodes) 1540196968.304 * * [misc]simplify: iters left: 1 (319 enodes) 1540196968.412 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) 1540196968.412 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196968.412 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196968.412 * * [misc]simplify: iters left: 6 (15 enodes) 1540196968.414 * * [misc]simplify: iters left: 5 (21 enodes) 1540196968.417 * * [misc]simplify: iters left: 4 (30 enodes) 1540196968.421 * * [misc]simplify: iters left: 3 (44 enodes) 1540196968.426 * * [misc]simplify: iters left: 2 (55 enodes) 1540196968.433 * * [misc]simplify: iters left: 1 (70 enodes) 1540196968.444 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540196968.444 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))))) 1540196968.444 * * * * [misc]progress: [ 1612 / 6870 ] simplifiying candidate # 1540196968.444 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196968.444 * * [misc]simplify: iters left: 6 (15 enodes) 1540196968.447 * * [misc]simplify: iters left: 5 (24 enodes) 1540196968.451 * * [misc]simplify: iters left: 4 (42 enodes) 1540196968.458 * * [misc]simplify: iters left: 3 (90 enodes) 1540196968.476 * * [misc]simplify: iters left: 2 (177 enodes) 1540196968.517 * * [misc]simplify: iters left: 1 (319 enodes) 1540196968.625 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) 1540196968.625 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196968.625 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196968.625 * * [misc]simplify: iters left: 6 (15 enodes) 1540196968.627 * * [misc]simplify: iters left: 5 (21 enodes) 1540196968.630 * * [misc]simplify: iters left: 4 (30 enodes) 1540196968.634 * * [misc]simplify: iters left: 3 (44 enodes) 1540196968.639 * * [misc]simplify: iters left: 2 (55 enodes) 1540196968.646 * * [misc]simplify: iters left: 1 (70 enodes) 1540196968.657 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540196968.657 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))))) 1540196968.657 * * * * [misc]progress: [ 1613 / 6870 ] simplifiying candidate # 1540196968.657 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196968.657 * * [misc]simplify: iters left: 6 (19 enodes) 1540196968.660 * * [misc]simplify: iters left: 5 (31 enodes) 1540196968.665 * * [misc]simplify: iters left: 4 (58 enodes) 1540196968.675 * * [misc]simplify: iters left: 3 (137 enodes) 1540196968.707 * * [misc]simplify: iters left: 2 (333 enodes) 1540196968.848 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196968.848 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196968.848 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196968.848 * * [misc]simplify: iters left: 6 (18 enodes) 1540196968.851 * * [misc]simplify: iters left: 5 (25 enodes) 1540196968.854 * * [misc]simplify: iters left: 4 (35 enodes) 1540196968.859 * * [misc]simplify: iters left: 3 (49 enodes) 1540196968.865 * * [misc]simplify: iters left: 2 (60 enodes) 1540196968.872 * * [misc]simplify: iters left: 1 (75 enodes) 1540196968.883 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196968.883 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196968.883 * * * * [misc]progress: [ 1614 / 6870 ] simplifiying candidate # 1540196968.883 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196968.883 * * [misc]simplify: iters left: 6 (18 enodes) 1540196968.886 * * [misc]simplify: iters left: 5 (28 enodes) 1540196968.890 * * [misc]simplify: iters left: 4 (49 enodes) 1540196968.897 * * [misc]simplify: iters left: 3 (97 enodes) 1540196968.916 * * [misc]simplify: iters left: 2 (184 enodes) 1540196968.957 * * [misc]simplify: iters left: 1 (326 enodes) 1540196969.064 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196969.064 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196969.064 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196969.064 * * [misc]simplify: iters left: 6 (18 enodes) 1540196969.067 * * [misc]simplify: iters left: 5 (25 enodes) 1540196969.070 * * [misc]simplify: iters left: 4 (35 enodes) 1540196969.075 * * [misc]simplify: iters left: 3 (49 enodes) 1540196969.081 * * [misc]simplify: iters left: 2 (60 enodes) 1540196969.088 * * [misc]simplify: iters left: 1 (75 enodes) 1540196969.101 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196969.101 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196969.101 * * * * [misc]progress: [ 1615 / 6870 ] simplifiying candidate # 1540196969.101 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196969.101 * * [misc]simplify: iters left: 6 (14 enodes) 1540196969.103 * * [misc]simplify: iters left: 5 (24 enodes) 1540196969.107 * * [misc]simplify: iters left: 4 (44 enodes) 1540196969.113 * * [misc]simplify: iters left: 3 (70 enodes) 1540196969.123 * * [misc]simplify: iters left: 2 (127 enodes) 1540196969.152 * * [misc]simplify: iters left: 1 (257 enodes) 1540196969.238 * [exit]simplify: Simplified to (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196969.238 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196969.238 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196969.238 * * [misc]simplify: iters left: 6 (17 enodes) 1540196969.241 * * [misc]simplify: iters left: 5 (24 enodes) 1540196969.244 * * [misc]simplify: iters left: 4 (34 enodes) 1540196969.249 * * [misc]simplify: iters left: 3 (48 enodes) 1540196969.255 * * [misc]simplify: iters left: 2 (59 enodes) 1540196969.261 * * [misc]simplify: iters left: 1 (74 enodes) 1540196969.272 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (- 1/2 (/ k 2))))) 1540196969.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (- 1/2 (/ k 2))))))) 1540196969.273 * * * * [misc]progress: [ 1616 / 6870 ] simplifiying candidate # 1540196969.273 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196969.273 * * [misc]simplify: iters left: 6 (16 enodes) 1540196969.276 * * [misc]simplify: iters left: 5 (27 enodes) 1540196969.280 * * [misc]simplify: iters left: 4 (47 enodes) 1540196969.290 * * [misc]simplify: iters left: 3 (110 enodes) 1540196969.312 * * [misc]simplify: iters left: 2 (264 enodes) 1540196969.418 * [exit]simplify: Simplified to (* (* (sqrt n) (sqrt PI)) (/ (sqrt 2) (sqrt (sqrt k)))) 1540196969.419 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt n) (sqrt PI)) (/ (sqrt 2) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196969.419 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196969.419 * * [misc]simplify: iters left: 6 (14 enodes) 1540196969.421 * * [misc]simplify: iters left: 5 (20 enodes) 1540196969.423 * * [misc]simplify: iters left: 4 (29 enodes) 1540196969.427 * * [misc]simplify: iters left: 3 (43 enodes) 1540196969.433 * * [misc]simplify: iters left: 2 (54 enodes) 1540196969.439 * * [misc]simplify: iters left: 1 (69 enodes) 1540196969.449 * [exit]simplify: Simplified to (* (/ (pow 2 (/ (- k) 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) 1540196969.449 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt n) (sqrt PI)) (/ (sqrt 2) (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))))) 1540196969.449 * * * * [misc]progress: [ 1617 / 6870 ] simplifiying candidate # 1540196969.450 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196969.450 * * [misc]simplify: iters left: 6 (16 enodes) 1540196969.453 * * [misc]simplify: iters left: 5 (27 enodes) 1540196969.457 * * [misc]simplify: iters left: 4 (47 enodes) 1540196969.465 * * [misc]simplify: iters left: 3 (110 enodes) 1540196969.489 * * [misc]simplify: iters left: 2 (264 enodes) 1540196969.594 * [exit]simplify: Simplified to (* (* (sqrt n) (sqrt PI)) (/ (sqrt 2) (sqrt (sqrt k)))) 1540196969.594 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt n) (sqrt PI)) (/ (sqrt 2) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196969.594 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196969.594 * * [misc]simplify: iters left: 6 (14 enodes) 1540196969.596 * * [misc]simplify: iters left: 5 (20 enodes) 1540196969.599 * * [misc]simplify: iters left: 4 (29 enodes) 1540196969.604 * * [misc]simplify: iters left: 3 (43 enodes) 1540196969.610 * * [misc]simplify: iters left: 2 (54 enodes) 1540196969.616 * * [misc]simplify: iters left: 1 (69 enodes) 1540196969.626 * [exit]simplify: Simplified to (* (/ (pow 2 (/ (- k) 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) 1540196969.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt n) (sqrt PI)) (/ (sqrt 2) (sqrt (sqrt k)))) (* (/ (pow 2 (/ (- k) 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))))) 1540196969.627 * * * * [misc]progress: [ 1618 / 6870 ] simplifiying candidate # 1540196969.627 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196969.627 * * [misc]simplify: iters left: 6 (20 enodes) 1540196969.630 * * [misc]simplify: iters left: 5 (34 enodes) 1540196969.635 * * [misc]simplify: iters left: 4 (64 enodes) 1540196969.647 * * [misc]simplify: iters left: 3 (175 enodes) 1540196969.693 * * [misc]simplify: iters left: 2 (461 enodes) 1540196969.925 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt n) (/ (sqrt PI) (sqrt (sqrt k))))) 1540196969.925 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt n) (/ (sqrt PI) (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196969.925 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196969.925 * * [misc]simplify: iters left: 6 (17 enodes) 1540196969.927 * * [misc]simplify: iters left: 5 (24 enodes) 1540196969.931 * * [misc]simplify: iters left: 4 (34 enodes) 1540196969.935 * * [misc]simplify: iters left: 3 (48 enodes) 1540196969.941 * * [misc]simplify: iters left: 2 (59 enodes) 1540196969.948 * * [misc]simplify: iters left: 1 (74 enodes) 1540196969.958 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196969.958 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (sqrt n) (/ (sqrt PI) (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196969.958 * * * * [misc]progress: [ 1619 / 6870 ] simplifiying candidate # 1540196969.959 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196969.959 * * [misc]simplify: iters left: 6 (19 enodes) 1540196969.962 * * [misc]simplify: iters left: 5 (31 enodes) 1540196969.966 * * [misc]simplify: iters left: 4 (54 enodes) 1540196969.975 * * [misc]simplify: iters left: 3 (121 enodes) 1540196970.002 * * [misc]simplify: iters left: 2 (277 enodes) 1540196970.095 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k)))) 1540196970.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196970.096 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196970.096 * * [misc]simplify: iters left: 6 (17 enodes) 1540196970.098 * * [misc]simplify: iters left: 5 (24 enodes) 1540196970.101 * * [misc]simplify: iters left: 4 (34 enodes) 1540196970.107 * * [misc]simplify: iters left: 3 (48 enodes) 1540196970.113 * * [misc]simplify: iters left: 2 (59 enodes) 1540196970.120 * * [misc]simplify: iters left: 1 (74 enodes) 1540196970.131 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196970.131 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196970.131 * * * * [misc]progress: [ 1620 / 6870 ] simplifiying candidate # 1540196970.131 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196970.131 * * [misc]simplify: iters left: 6 (14 enodes) 1540196970.134 * * [misc]simplify: iters left: 5 (24 enodes) 1540196970.137 * * [misc]simplify: iters left: 4 (32 enodes) 1540196970.142 * * [misc]simplify: iters left: 3 (54 enodes) 1540196970.149 * * [misc]simplify: iters left: 2 (88 enodes) 1540196970.172 * * [misc]simplify: iters left: 1 (146 enodes) 1540196970.221 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540196970.221 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196970.221 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196970.221 * * [misc]simplify: iters left: 6 (16 enodes) 1540196970.224 * * [misc]simplify: iters left: 5 (23 enodes) 1540196970.227 * * [misc]simplify: iters left: 4 (33 enodes) 1540196970.231 * * [misc]simplify: iters left: 3 (47 enodes) 1540196970.238 * * [misc]simplify: iters left: 2 (58 enodes) 1540196970.245 * * [misc]simplify: iters left: 1 (73 enodes) 1540196970.256 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196970.256 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196970.256 * * * * [misc]progress: [ 1621 / 6870 ] simplifiying candidate # 1540196970.256 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196970.256 * * [misc]simplify: iters left: 6 (15 enodes) 1540196970.259 * * [misc]simplify: iters left: 5 (24 enodes) 1540196970.263 * * [misc]simplify: iters left: 4 (42 enodes) 1540196970.269 * * [misc]simplify: iters left: 3 (90 enodes) 1540196970.287 * * [misc]simplify: iters left: 2 (177 enodes) 1540196970.329 * * [misc]simplify: iters left: 1 (319 enodes) 1540196970.436 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) 1540196970.437 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196970.437 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196970.437 * * [misc]simplify: iters left: 6 (15 enodes) 1540196970.439 * * [misc]simplify: iters left: 5 (21 enodes) 1540196970.442 * * [misc]simplify: iters left: 4 (30 enodes) 1540196970.446 * * [misc]simplify: iters left: 3 (44 enodes) 1540196970.451 * * [misc]simplify: iters left: 2 (55 enodes) 1540196970.458 * * [misc]simplify: iters left: 1 (70 enodes) 1540196970.468 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540196970.468 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))))) 1540196970.468 * * * * [misc]progress: [ 1622 / 6870 ] simplifiying candidate # 1540196970.469 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196970.469 * * [misc]simplify: iters left: 6 (15 enodes) 1540196970.472 * * [misc]simplify: iters left: 5 (24 enodes) 1540196970.475 * * [misc]simplify: iters left: 4 (42 enodes) 1540196970.482 * * [misc]simplify: iters left: 3 (90 enodes) 1540196970.502 * * [misc]simplify: iters left: 2 (177 enodes) 1540196970.542 * * [misc]simplify: iters left: 1 (319 enodes) 1540196970.649 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) 1540196970.649 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196970.649 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196970.649 * * [misc]simplify: iters left: 6 (15 enodes) 1540196970.651 * * [misc]simplify: iters left: 5 (21 enodes) 1540196970.654 * * [misc]simplify: iters left: 4 (30 enodes) 1540196970.658 * * [misc]simplify: iters left: 3 (44 enodes) 1540196970.664 * * [misc]simplify: iters left: 2 (55 enodes) 1540196970.670 * * [misc]simplify: iters left: 1 (70 enodes) 1540196970.682 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))) 1540196970.682 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (/ (sqrt (sqrt k)) (sqrt n)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (/ (- k) 2)))))) 1540196970.683 * * * * [misc]progress: [ 1623 / 6870 ] simplifiying candidate # 1540196970.683 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196970.683 * * [misc]simplify: iters left: 6 (19 enodes) 1540196970.686 * * [misc]simplify: iters left: 5 (31 enodes) 1540196970.690 * * [misc]simplify: iters left: 4 (58 enodes) 1540196970.699 * * [misc]simplify: iters left: 3 (137 enodes) 1540196970.732 * * [misc]simplify: iters left: 2 (333 enodes) 1540196970.875 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196970.875 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196970.875 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196970.876 * * [misc]simplify: iters left: 6 (18 enodes) 1540196970.878 * * [misc]simplify: iters left: 5 (25 enodes) 1540196970.881 * * [misc]simplify: iters left: 4 (35 enodes) 1540196970.886 * * [misc]simplify: iters left: 3 (49 enodes) 1540196970.892 * * [misc]simplify: iters left: 2 (60 enodes) 1540196970.899 * * [misc]simplify: iters left: 1 (75 enodes) 1540196970.910 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196970.910 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt n)) (/ (/ (sqrt (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196970.910 * * * * [misc]progress: [ 1624 / 6870 ] simplifiying candidate # 1540196970.910 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196970.910 * * [misc]simplify: iters left: 6 (18 enodes) 1540196970.913 * * [misc]simplify: iters left: 5 (28 enodes) 1540196970.917 * * [misc]simplify: iters left: 4 (49 enodes) 1540196970.926 * * [misc]simplify: iters left: 3 (97 enodes) 1540196970.943 * * [misc]simplify: iters left: 2 (184 enodes) 1540196970.985 * * [misc]simplify: iters left: 1 (326 enodes) 1540196971.091 * [exit]simplify: Simplified to (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) 1540196971.091 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196971.092 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196971.092 * * [misc]simplify: iters left: 6 (18 enodes) 1540196971.094 * * [misc]simplify: iters left: 5 (25 enodes) 1540196971.098 * * [misc]simplify: iters left: 4 (35 enodes) 1540196971.104 * * [misc]simplify: iters left: 3 (49 enodes) 1540196971.110 * * [misc]simplify: iters left: 2 (60 enodes) 1540196971.117 * * [misc]simplify: iters left: 1 (75 enodes) 1540196971.128 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196971.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196971.129 * * * * [misc]progress: [ 1625 / 6870 ] simplifiying candidate # 1540196971.129 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196971.129 * * [misc]simplify: iters left: 6 (14 enodes) 1540196971.131 * * [misc]simplify: iters left: 5 (24 enodes) 1540196971.135 * * [misc]simplify: iters left: 4 (44 enodes) 1540196971.141 * * [misc]simplify: iters left: 3 (70 enodes) 1540196971.151 * * [misc]simplify: iters left: 2 (127 enodes) 1540196971.182 * * [misc]simplify: iters left: 1 (257 enodes) 1540196971.267 * [exit]simplify: Simplified to (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) 1540196971.267 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196971.267 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196971.267 * * [misc]simplify: iters left: 6 (17 enodes) 1540196971.269 * * [misc]simplify: iters left: 5 (24 enodes) 1540196971.273 * * [misc]simplify: iters left: 4 (34 enodes) 1540196971.277 * * [misc]simplify: iters left: 3 (48 enodes) 1540196971.283 * * [misc]simplify: iters left: 2 (59 enodes) 1540196971.290 * * [misc]simplify: iters left: 1 (74 enodes) 1540196971.302 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (- 1/2 (/ k 2))))) 1540196971.302 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (/ (pow n (/ k 2)) (pow 2 (- 1/2 (/ k 2))))))) 1540196971.302 * * * * [misc]progress: [ 1626 / 6870 ] simplifiying candidate # 1540196971.303 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196971.303 * * [misc]simplify: iters left: 6 (15 enodes) 1540196971.305 * * [misc]simplify: iters left: 5 (26 enodes) 1540196971.309 * * [misc]simplify: iters left: 4 (42 enodes) 1540196971.316 * * [misc]simplify: iters left: 3 (94 enodes) 1540196971.334 * * [misc]simplify: iters left: 2 (198 enodes) 1540196971.398 * * [misc]simplify: iters left: 1 (383 enodes) 1540196971.575 * [exit]simplify: Simplified to (* (/ (sqrt 2) (sqrt (sqrt k))) (* (sqrt n) (sqrt PI))) 1540196971.575 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (sqrt (sqrt k))) (* (sqrt n) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196971.576 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196971.576 * * [misc]simplify: iters left: 6 (14 enodes) 1540196971.578 * * [misc]simplify: iters left: 5 (20 enodes) 1540196971.580 * * [misc]simplify: iters left: 4 (29 enodes) 1540196971.584 * * [misc]simplify: iters left: 3 (43 enodes) 1540196971.590 * * [misc]simplify: iters left: 2 (54 enodes) 1540196971.596 * * [misc]simplify: iters left: 1 (69 enodes) 1540196971.606 * [exit]simplify: Simplified to (* (/ (pow 2 (/ (- k) 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) 1540196971.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (sqrt (sqrt k))) (* (sqrt n) (sqrt PI))) (* (/ (pow 2 (/ (- k) 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))))) 1540196971.606 * * * * [misc]progress: [ 1627 / 6870 ] simplifiying candidate # 1540196971.607 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196971.607 * * [misc]simplify: iters left: 6 (15 enodes) 1540196971.611 * * [misc]simplify: iters left: 5 (26 enodes) 1540196971.615 * * [misc]simplify: iters left: 4 (42 enodes) 1540196971.622 * * [misc]simplify: iters left: 3 (94 enodes) 1540196971.640 * * [misc]simplify: iters left: 2 (198 enodes) 1540196971.703 * * [misc]simplify: iters left: 1 (383 enodes) 1540196971.881 * [exit]simplify: Simplified to (* (/ (sqrt 2) (sqrt (sqrt k))) (* (sqrt n) (sqrt PI))) 1540196971.881 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (sqrt (sqrt k))) (* (sqrt n) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196971.881 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196971.882 * * [misc]simplify: iters left: 6 (14 enodes) 1540196971.883 * * [misc]simplify: iters left: 5 (20 enodes) 1540196971.886 * * [misc]simplify: iters left: 4 (29 enodes) 1540196971.890 * * [misc]simplify: iters left: 3 (43 enodes) 1540196971.896 * * [misc]simplify: iters left: 2 (54 enodes) 1540196971.902 * * [misc]simplify: iters left: 1 (69 enodes) 1540196971.912 * [exit]simplify: Simplified to (* (/ (pow 2 (/ (- k) 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) 1540196971.912 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (sqrt (sqrt k))) (* (sqrt n) (sqrt PI))) (* (/ (pow 2 (/ (- k) 2)) (* (pow n (/ k 2)) (sqrt (sqrt k)))) (pow PI (/ (- k) 2))))) 1540196971.913 * * * * [misc]progress: [ 1628 / 6870 ] simplifiying candidate # 1540196971.913 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196971.913 * * [misc]simplify: iters left: 6 (19 enodes) 1540196971.916 * * [misc]simplify: iters left: 5 (33 enodes) 1540196971.922 * * [misc]simplify: iters left: 4 (58 enodes) 1540196971.932 * * [misc]simplify: iters left: 3 (152 enodes) 1540196971.967 * * [misc]simplify: iters left: 2 (393 enodes) 1540196972.158 * [exit]simplify: Simplified to (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))))) 1540196972.158 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196972.158 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196972.158 * * [misc]simplify: iters left: 6 (17 enodes) 1540196972.163 * * [misc]simplify: iters left: 5 (24 enodes) 1540196972.166 * * [misc]simplify: iters left: 4 (34 enodes) 1540196972.170 * * [misc]simplify: iters left: 3 (48 enodes) 1540196972.176 * * [misc]simplify: iters left: 2 (59 enodes) 1540196972.183 * * [misc]simplify: iters left: 1 (74 enodes) 1540196972.193 * [exit]simplify: Simplified to (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196972.193 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196972.194 * * * * [misc]progress: [ 1629 / 6870 ] simplifiying candidate # 1540196972.194 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196972.194 * * [misc]simplify: iters left: 6 (18 enodes) 1540196972.196 * * [misc]simplify: iters left: 5 (30 enodes) 1540196972.200 * * [misc]simplify: iters left: 4 (49 enodes) 1540196972.208 * * [misc]simplify: iters left: 3 (101 enodes) 1540196972.226 * * [misc]simplify: iters left: 2 (206 enodes) 1540196972.287 * * [misc]simplify: iters left: 1 (465 enodes) 1540196972.578 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196972.579 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196972.579 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196972.579 * * [misc]simplify: iters left: 6 (17 enodes) 1540196972.581 * * [misc]simplify: iters left: 5 (24 enodes) 1540196972.584 * * [misc]simplify: iters left: 4 (34 enodes) 1540196972.589 * * [misc]simplify: iters left: 3 (48 enodes) 1540196972.595 * * [misc]simplify: iters left: 2 (59 enodes) 1540196972.602 * * [misc]simplify: iters left: 1 (74 enodes) 1540196972.612 * [exit]simplify: Simplified to (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))) 1540196972.612 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (* (pow n (/ k 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2)))))) 1540196972.613 * * * * [misc]progress: [ 1630 / 6870 ] simplifiying candidate # 1540196972.613 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ 1 1)) 1540196972.613 * * [misc]simplify: iters left: 6 (13 enodes) 1540196972.615 * * [misc]simplify: iters left: 5 (21 enodes) 1540196972.617 * * [misc]simplify: iters left: 4 (29 enodes) 1540196972.621 * * [misc]simplify: iters left: 3 (44 enodes) 1540196972.627 * * [misc]simplify: iters left: 2 (67 enodes) 1540196972.637 * * [misc]simplify: iters left: 1 (88 enodes) 1540196972.649 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540196972.649 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196972.649 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196972.649 * * [misc]simplify: iters left: 6 (16 enodes) 1540196972.651 * * [misc]simplify: iters left: 5 (23 enodes) 1540196972.654 * * [misc]simplify: iters left: 4 (33 enodes) 1540196972.659 * * [misc]simplify: iters left: 3 (47 enodes) 1540196972.664 * * [misc]simplify: iters left: 2 (58 enodes) 1540196972.671 * * [misc]simplify: iters left: 1 (73 enodes) 1540196972.682 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196972.682 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196972.682 * * * * [misc]progress: [ 1631 / 6870 ] simplifiying candidate # 1540196972.682 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) 1) 1540196972.682 * * [misc]simplify: iters left: 6 (12 enodes) 1540196972.684 * * [misc]simplify: iters left: 5 (20 enodes) 1540196972.687 * * [misc]simplify: iters left: 4 (30 enodes) 1540196972.691 * * [misc]simplify: iters left: 3 (49 enodes) 1540196972.698 * * [misc]simplify: iters left: 2 (80 enodes) 1540196972.711 * * [misc]simplify: iters left: 1 (102 enodes) 1540196972.723 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) 1540196972.723 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196972.724 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196972.724 * * [misc]simplify: iters left: 6 (16 enodes) 1540196972.726 * * [misc]simplify: iters left: 5 (23 enodes) 1540196972.729 * * [misc]simplify: iters left: 4 (33 enodes) 1540196972.734 * * [misc]simplify: iters left: 3 (47 enodes) 1540196972.739 * * [misc]simplify: iters left: 2 (58 enodes) 1540196972.746 * * [misc]simplify: iters left: 1 (73 enodes) 1540196972.757 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196972.757 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt PI)) (sqrt (sqrt k))) (/ (/ (pow PI (/ (- k) 2)) (pow n (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196972.757 * * * * [misc]progress: [ 1632 / 6870 ] simplifiying candidate # 1540196972.758 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (sqrt (sqrt k))) 1540196972.758 * * [misc]simplify: iters left: 6 (11 enodes) 1540196972.759 * * [misc]simplify: iters left: 5 (17 enodes) 1540196972.761 * * [misc]simplify: iters left: 4 (24 enodes) 1540196972.764 * * [misc]simplify: iters left: 3 (33 enodes) 1540196972.768 * * [misc]simplify: iters left: 2 (41 enodes) 1540196972.773 * * [misc]simplify: iters left: 1 (49 enodes) 1540196972.780 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt n)) 1540196972.780 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt n)) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196972.780 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196972.780 * * [misc]simplify: iters left: 6 (15 enodes) 1540196972.782 * * [misc]simplify: iters left: 5 (24 enodes) 1540196972.786 * * [misc]simplify: iters left: 4 (36 enodes) 1540196972.790 * * [misc]simplify: iters left: 3 (55 enodes) 1540196972.798 * * [misc]simplify: iters left: 2 (84 enodes) 1540196972.811 * * [misc]simplify: iters left: 1 (174 enodes) 1540196972.847 * [exit]simplify: Simplified to (* (/ (pow 2 (- 1/2 (/ k 2))) (pow n (/ k 2))) (pow PI (/ (- k) 2))) 1540196972.847 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt n)) (* (/ (pow 2 (- 1/2 (/ k 2))) (pow n (/ k 2))) (pow PI (/ (- k) 2))))) 1540196972.847 * * * * [misc]progress: [ 1633 / 6870 ] simplifiying candidate # 1540196972.847 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196972.847 * * [misc]simplify: iters left: 6 (14 enodes) 1540196972.850 * * [misc]simplify: iters left: 5 (23 enodes) 1540196972.853 * * [misc]simplify: iters left: 4 (40 enodes) 1540196972.860 * * [misc]simplify: iters left: 3 (85 enodes) 1540196972.876 * * [misc]simplify: iters left: 2 (150 enodes) 1540196972.910 * * [misc]simplify: iters left: 1 (233 enodes) 1540196972.963 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt n)) (/ (sqrt k) (sqrt PI))) 1540196972.963 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt n)) (/ (sqrt k) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (pow 2 (/ k 2))))) 1540196972.963 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (pow n (/ k 2))) (pow 2 (/ k 2))) 1540196972.964 * * [misc]simplify: iters left: 6 (11 enodes) 1540196972.965 * * [misc]simplify: iters left: 5 (15 enodes) 1540196972.967 * * [misc]simplify: iters left: 4 (18 enodes) 1540196972.969 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (* (pow 2 (/ k 2)) (pow n (/ k 2)))) 1540196972.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt n)) (/ (sqrt k) (sqrt PI))) (/ (pow PI (- (/ k 2))) (* (pow 2 (/ k 2)) (pow n (/ k 2)))))) 1540196972.969 * * * * [misc]progress: [ 1634 / 6870 ] simplifiying candidate # 1540196972.970 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196972.970 * * [misc]simplify: iters left: 6 (20 enodes) 1540196972.974 * * [misc]simplify: iters left: 5 (29 enodes) 1540196972.978 * * [misc]simplify: iters left: 4 (42 enodes) 1540196972.983 * * [misc]simplify: iters left: 3 (55 enodes) 1540196972.990 * * [misc]simplify: iters left: 2 (67 enodes) 1540196972.998 * * [misc]simplify: iters left: 1 (70 enodes) 1540196973.006 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196973.006 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196973.006 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196973.006 * * [misc]simplify: iters left: 6 (19 enodes) 1540196973.009 * * [misc]simplify: iters left: 5 (24 enodes) 1540196973.012 * * [misc]simplify: iters left: 4 (28 enodes) 1540196973.015 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196973.015 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196973.016 * * * * [misc]progress: [ 1635 / 6870 ] simplifiying candidate # 1540196973.016 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196973.016 * * [misc]simplify: iters left: 6 (19 enodes) 1540196973.018 * * [misc]simplify: iters left: 5 (26 enodes) 1540196973.022 * * [misc]simplify: iters left: 4 (34 enodes) 1540196973.026 * * [misc]simplify: iters left: 3 (37 enodes) 1540196973.030 * * [misc]simplify: iters left: 2 (43 enodes) 1540196973.036 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196973.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196973.036 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196973.036 * * [misc]simplify: iters left: 6 (19 enodes) 1540196973.039 * * [misc]simplify: iters left: 5 (24 enodes) 1540196973.042 * * [misc]simplify: iters left: 4 (28 enodes) 1540196973.046 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196973.046 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196973.046 * * * * [misc]progress: [ 1636 / 6870 ] simplifiying candidate # 1540196973.046 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196973.047 * * [misc]simplify: iters left: 6 (20 enodes) 1540196973.050 * * [misc]simplify: iters left: 5 (32 enodes) 1540196973.055 * * [misc]simplify: iters left: 4 (55 enodes) 1540196973.064 * * [misc]simplify: iters left: 3 (119 enodes) 1540196973.091 * * [misc]simplify: iters left: 2 (267 enodes) 1540196973.174 * * [misc]simplify: iters left: 1 (476 enodes) 1540196973.342 * [exit]simplify: Simplified to (/ (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196973.342 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196973.343 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196973.343 * * [misc]simplify: iters left: 6 (19 enodes) 1540196973.345 * * [misc]simplify: iters left: 5 (26 enodes) 1540196973.349 * * [misc]simplify: iters left: 4 (36 enodes) 1540196973.356 * * [misc]simplify: iters left: 3 (50 enodes) 1540196973.362 * * [misc]simplify: iters left: 2 (61 enodes) 1540196973.369 * * [misc]simplify: iters left: 1 (76 enodes) 1540196973.380 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196973.380 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196973.380 * * * * [misc]progress: [ 1637 / 6870 ] simplifiying candidate # 1540196973.380 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196973.380 * * [misc]simplify: iters left: 6 (20 enodes) 1540196973.384 * * [misc]simplify: iters left: 5 (32 enodes) 1540196973.389 * * [misc]simplify: iters left: 4 (55 enodes) 1540196973.398 * * [misc]simplify: iters left: 3 (119 enodes) 1540196973.427 * * [misc]simplify: iters left: 2 (267 enodes) 1540196973.508 * * [misc]simplify: iters left: 1 (476 enodes) 1540196973.680 * [exit]simplify: Simplified to (/ (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196973.680 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196973.680 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196973.680 * * [misc]simplify: iters left: 6 (19 enodes) 1540196973.683 * * [misc]simplify: iters left: 5 (26 enodes) 1540196973.686 * * [misc]simplify: iters left: 4 (36 enodes) 1540196973.691 * * [misc]simplify: iters left: 3 (50 enodes) 1540196973.697 * * [misc]simplify: iters left: 2 (61 enodes) 1540196973.704 * * [misc]simplify: iters left: 1 (76 enodes) 1540196973.715 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196973.715 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (* (sqrt 2) (sqrt PI)) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196973.715 * * * * [misc]progress: [ 1638 / 6870 ] simplifiying candidate # 1540196973.716 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196973.716 * * [misc]simplify: iters left: 6 (22 enodes) 1540196973.719 * * [misc]simplify: iters left: 5 (37 enodes) 1540196973.724 * * [misc]simplify: iters left: 4 (77 enodes) 1540196973.741 * * [misc]simplify: iters left: 3 (197 enodes) 1540196973.809 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196973.809 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196973.809 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196973.809 * * [misc]simplify: iters left: 6 (20 enodes) 1540196973.812 * * [misc]simplify: iters left: 5 (27 enodes) 1540196973.816 * * [misc]simplify: iters left: 4 (37 enodes) 1540196973.821 * * [misc]simplify: iters left: 3 (51 enodes) 1540196973.827 * * [misc]simplify: iters left: 2 (62 enodes) 1540196973.834 * * [misc]simplify: iters left: 1 (77 enodes) 1540196973.845 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196973.845 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196973.845 * * * * [misc]progress: [ 1639 / 6870 ] simplifiying candidate # 1540196973.845 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196973.845 * * [misc]simplify: iters left: 6 (21 enodes) 1540196973.848 * * [misc]simplify: iters left: 5 (32 enodes) 1540196973.853 * * [misc]simplify: iters left: 4 (55 enodes) 1540196973.862 * * [misc]simplify: iters left: 3 (119 enodes) 1540196973.890 * * [misc]simplify: iters left: 2 (266 enodes) 1540196973.972 * * [misc]simplify: iters left: 1 (473 enodes) 1540196974.136 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) 1540196974.137 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196974.137 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196974.137 * * [misc]simplify: iters left: 6 (20 enodes) 1540196974.140 * * [misc]simplify: iters left: 5 (27 enodes) 1540196974.143 * * [misc]simplify: iters left: 4 (37 enodes) 1540196974.148 * * [misc]simplify: iters left: 3 (51 enodes) 1540196974.154 * * [misc]simplify: iters left: 2 (62 enodes) 1540196974.161 * * [misc]simplify: iters left: 1 (77 enodes) 1540196974.174 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196974.174 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196974.174 * * * * [misc]progress: [ 1640 / 6870 ] simplifiying candidate # 1540196974.175 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196974.175 * * [misc]simplify: iters left: 6 (20 enodes) 1540196974.178 * * [misc]simplify: iters left: 5 (33 enodes) 1540196974.183 * * [misc]simplify: iters left: 4 (57 enodes) 1540196974.191 * * [misc]simplify: iters left: 3 (94 enodes) 1540196974.209 * * [misc]simplify: iters left: 2 (219 enodes) 1540196974.286 * [exit]simplify: Simplified to (/ (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196974.286 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196974.286 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196974.286 * * [misc]simplify: iters left: 6 (19 enodes) 1540196974.289 * * [misc]simplify: iters left: 5 (26 enodes) 1540196974.292 * * [misc]simplify: iters left: 4 (36 enodes) 1540196974.297 * * [misc]simplify: iters left: 3 (50 enodes) 1540196974.305 * * [misc]simplify: iters left: 2 (61 enodes) 1540196974.312 * * [misc]simplify: iters left: 1 (76 enodes) 1540196974.323 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196974.323 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196974.323 * * * * [misc]progress: [ 1641 / 6870 ] simplifiying candidate # 1540196974.324 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196974.324 * * [misc]simplify: iters left: 6 (21 enodes) 1540196974.327 * * [misc]simplify: iters left: 5 (32 enodes) 1540196974.332 * * [misc]simplify: iters left: 4 (48 enodes) 1540196974.339 * * [misc]simplify: iters left: 3 (79 enodes) 1540196974.352 * * [misc]simplify: iters left: 2 (133 enodes) 1540196974.375 * * [misc]simplify: iters left: 1 (187 enodes) 1540196974.410 * [exit]simplify: Simplified to (* (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196974.410 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196974.410 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196974.410 * * [misc]simplify: iters left: 6 (20 enodes) 1540196974.413 * * [misc]simplify: iters left: 5 (27 enodes) 1540196974.416 * * [misc]simplify: iters left: 4 (37 enodes) 1540196974.422 * * [misc]simplify: iters left: 3 (51 enodes) 1540196974.427 * * [misc]simplify: iters left: 2 (62 enodes) 1540196974.435 * * [misc]simplify: iters left: 1 (77 enodes) 1540196974.447 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196974.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196974.447 * * * * [misc]progress: [ 1642 / 6870 ] simplifiying candidate # 1540196974.447 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196974.447 * * [misc]simplify: iters left: 6 (21 enodes) 1540196974.451 * * [misc]simplify: iters left: 5 (32 enodes) 1540196974.456 * * [misc]simplify: iters left: 4 (48 enodes) 1540196974.463 * * [misc]simplify: iters left: 3 (79 enodes) 1540196974.477 * * [misc]simplify: iters left: 2 (133 enodes) 1540196974.498 * * [misc]simplify: iters left: 1 (187 enodes) 1540196974.534 * [exit]simplify: Simplified to (* (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196974.534 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196974.534 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196974.534 * * [misc]simplify: iters left: 6 (20 enodes) 1540196974.537 * * [misc]simplify: iters left: 5 (27 enodes) 1540196974.540 * * [misc]simplify: iters left: 4 (37 enodes) 1540196974.545 * * [misc]simplify: iters left: 3 (51 enodes) 1540196974.551 * * [misc]simplify: iters left: 2 (62 enodes) 1540196974.559 * * [misc]simplify: iters left: 1 (77 enodes) 1540196974.570 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196974.570 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196974.570 * * * * [misc]progress: [ 1643 / 6870 ] simplifiying candidate # 1540196974.570 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196974.571 * * [misc]simplify: iters left: 6 (23 enodes) 1540196974.575 * * [misc]simplify: iters left: 5 (35 enodes) 1540196974.580 * * [misc]simplify: iters left: 4 (57 enodes) 1540196974.589 * * [misc]simplify: iters left: 3 (113 enodes) 1540196974.613 * * [misc]simplify: iters left: 2 (249 enodes) 1540196974.688 * * [misc]simplify: iters left: 1 (493 enodes) 1540196974.897 * [exit]simplify: Simplified to (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196974.897 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196974.898 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196974.898 * * [misc]simplify: iters left: 6 (21 enodes) 1540196974.900 * * [misc]simplify: iters left: 5 (28 enodes) 1540196974.904 * * [misc]simplify: iters left: 4 (38 enodes) 1540196974.909 * * [misc]simplify: iters left: 3 (52 enodes) 1540196974.915 * * [misc]simplify: iters left: 2 (63 enodes) 1540196974.923 * * [misc]simplify: iters left: 1 (78 enodes) 1540196974.935 * [exit]simplify: Simplified to (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196974.935 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196974.935 * * * * [misc]progress: [ 1644 / 6870 ] simplifiying candidate # 1540196974.935 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196974.935 * * [misc]simplify: iters left: 6 (22 enodes) 1540196974.940 * * [misc]simplify: iters left: 5 (32 enodes) 1540196974.944 * * [misc]simplify: iters left: 4 (48 enodes) 1540196974.951 * * [misc]simplify: iters left: 3 (79 enodes) 1540196974.964 * * [misc]simplify: iters left: 2 (134 enodes) 1540196974.985 * * [misc]simplify: iters left: 1 (188 enodes) 1540196975.021 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196975.021 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196975.021 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196975.021 * * [misc]simplify: iters left: 6 (21 enodes) 1540196975.024 * * [misc]simplify: iters left: 5 (28 enodes) 1540196975.028 * * [misc]simplify: iters left: 4 (38 enodes) 1540196975.033 * * [misc]simplify: iters left: 3 (52 enodes) 1540196975.039 * * [misc]simplify: iters left: 2 (63 enodes) 1540196975.046 * * [misc]simplify: iters left: 1 (78 enodes) 1540196975.058 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196975.058 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196975.058 * * * * [misc]progress: [ 1645 / 6870 ] simplifiying candidate # 1540196975.058 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196975.058 * * [misc]simplify: iters left: 6 (21 enodes) 1540196975.061 * * [misc]simplify: iters left: 5 (32 enodes) 1540196975.066 * * [misc]simplify: iters left: 4 (47 enodes) 1540196975.074 * * [misc]simplify: iters left: 3 (74 enodes) 1540196975.088 * * [misc]simplify: iters left: 2 (145 enodes) 1540196975.123 * * [misc]simplify: iters left: 1 (318 enodes) 1540196975.311 * [exit]simplify: Simplified to (/ (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196975.312 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196975.312 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196975.312 * * [misc]simplify: iters left: 6 (20 enodes) 1540196975.316 * * [misc]simplify: iters left: 5 (27 enodes) 1540196975.320 * * [misc]simplify: iters left: 4 (37 enodes) 1540196975.325 * * [misc]simplify: iters left: 3 (51 enodes) 1540196975.331 * * [misc]simplify: iters left: 2 (62 enodes) 1540196975.338 * * [misc]simplify: iters left: 1 (77 enodes) 1540196975.350 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196975.350 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196975.350 * * * * [misc]progress: [ 1646 / 6870 ] simplifiying candidate # 1540196975.350 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196975.350 * * [misc]simplify: iters left: 6 (19 enodes) 1540196975.354 * * [misc]simplify: iters left: 5 (29 enodes) 1540196975.358 * * [misc]simplify: iters left: 4 (45 enodes) 1540196975.365 * * [misc]simplify: iters left: 3 (76 enodes) 1540196975.379 * * [misc]simplify: iters left: 2 (131 enodes) 1540196975.401 * * [misc]simplify: iters left: 1 (185 enodes) 1540196975.436 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196975.436 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196975.436 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196975.436 * * [misc]simplify: iters left: 6 (19 enodes) 1540196975.439 * * [misc]simplify: iters left: 5 (26 enodes) 1540196975.442 * * [misc]simplify: iters left: 4 (36 enodes) 1540196975.447 * * [misc]simplify: iters left: 3 (50 enodes) 1540196975.454 * * [misc]simplify: iters left: 2 (61 enodes) 1540196975.461 * * [misc]simplify: iters left: 1 (76 enodes) 1540196975.472 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196975.472 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196975.472 * * * * [misc]progress: [ 1647 / 6870 ] simplifiying candidate # 1540196975.472 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196975.472 * * [misc]simplify: iters left: 6 (19 enodes) 1540196975.476 * * [misc]simplify: iters left: 5 (29 enodes) 1540196975.480 * * [misc]simplify: iters left: 4 (45 enodes) 1540196975.487 * * [misc]simplify: iters left: 3 (76 enodes) 1540196975.501 * * [misc]simplify: iters left: 2 (131 enodes) 1540196975.523 * * [misc]simplify: iters left: 1 (185 enodes) 1540196975.558 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196975.558 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196975.558 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196975.558 * * [misc]simplify: iters left: 6 (19 enodes) 1540196975.561 * * [misc]simplify: iters left: 5 (26 enodes) 1540196975.564 * * [misc]simplify: iters left: 4 (36 enodes) 1540196975.569 * * [misc]simplify: iters left: 3 (50 enodes) 1540196975.575 * * [misc]simplify: iters left: 2 (61 enodes) 1540196975.582 * * [misc]simplify: iters left: 1 (76 enodes) 1540196975.594 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196975.594 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196975.595 * * * * [misc]progress: [ 1648 / 6870 ] simplifiying candidate # 1540196975.595 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196975.595 * * [misc]simplify: iters left: 6 (21 enodes) 1540196975.598 * * [misc]simplify: iters left: 5 (32 enodes) 1540196975.602 * * [misc]simplify: iters left: 4 (54 enodes) 1540196975.611 * * [misc]simplify: iters left: 3 (110 enodes) 1540196975.635 * * [misc]simplify: iters left: 2 (247 enodes) 1540196975.711 * * [misc]simplify: iters left: 1 (485 enodes) 1540196975.920 * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196975.920 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196975.920 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196975.920 * * [misc]simplify: iters left: 6 (20 enodes) 1540196975.923 * * [misc]simplify: iters left: 5 (27 enodes) 1540196975.926 * * [misc]simplify: iters left: 4 (37 enodes) 1540196975.931 * * [misc]simplify: iters left: 3 (51 enodes) 1540196975.937 * * [misc]simplify: iters left: 2 (62 enodes) 1540196975.945 * * [misc]simplify: iters left: 1 (77 enodes) 1540196975.958 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196975.958 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196975.958 * * * * [misc]progress: [ 1649 / 6870 ] simplifiying candidate # 1540196975.958 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196975.958 * * [misc]simplify: iters left: 6 (20 enodes) 1540196975.961 * * [misc]simplify: iters left: 5 (29 enodes) 1540196975.965 * * [misc]simplify: iters left: 4 (45 enodes) 1540196975.971 * * [misc]simplify: iters left: 3 (76 enodes) 1540196975.984 * * [misc]simplify: iters left: 2 (131 enodes) 1540196976.005 * * [misc]simplify: iters left: 1 (185 enodes) 1540196976.040 * [exit]simplify: Simplified to (/ (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (sqrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196976.040 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (sqrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196976.040 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196976.041 * * [misc]simplify: iters left: 6 (20 enodes) 1540196976.043 * * [misc]simplify: iters left: 5 (27 enodes) 1540196976.047 * * [misc]simplify: iters left: 4 (37 enodes) 1540196976.052 * * [misc]simplify: iters left: 3 (51 enodes) 1540196976.058 * * [misc]simplify: iters left: 2 (62 enodes) 1540196976.065 * * [misc]simplify: iters left: 1 (77 enodes) 1540196976.076 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196976.076 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (sqrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196976.076 * * * * [misc]progress: [ 1650 / 6870 ] simplifiying candidate # 1540196976.077 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196976.077 * * [misc]simplify: iters left: 6 (19 enodes) 1540196976.079 * * [misc]simplify: iters left: 5 (30 enodes) 1540196976.084 * * [misc]simplify: iters left: 4 (49 enodes) 1540196976.092 * * [misc]simplify: iters left: 3 (69 enodes) 1540196976.101 * * [misc]simplify: iters left: 2 (104 enodes) 1540196976.118 * * [misc]simplify: iters left: 1 (191 enodes) 1540196976.178 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196976.178 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196976.178 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196976.178 * * [misc]simplify: iters left: 6 (19 enodes) 1540196976.181 * * [misc]simplify: iters left: 5 (26 enodes) 1540196976.184 * * [misc]simplify: iters left: 4 (36 enodes) 1540196976.189 * * [misc]simplify: iters left: 3 (50 enodes) 1540196976.195 * * [misc]simplify: iters left: 2 (61 enodes) 1540196976.202 * * [misc]simplify: iters left: 1 (76 enodes) 1540196976.213 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196976.213 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196976.213 * * * * [misc]progress: [ 1651 / 6870 ] simplifiying candidate # 1540196976.213 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196976.214 * * [misc]simplify: iters left: 6 (20 enodes) 1540196976.217 * * [misc]simplify: iters left: 5 (32 enodes) 1540196976.224 * * [misc]simplify: iters left: 4 (46 enodes) 1540196976.231 * * [misc]simplify: iters left: 3 (84 enodes) 1540196976.247 * * [misc]simplify: iters left: 2 (180 enodes) 1540196976.288 * * [misc]simplify: iters left: 1 (297 enodes) 1540196976.345 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) 1540196976.345 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196976.345 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196976.345 * * [misc]simplify: iters left: 6 (18 enodes) 1540196976.347 * * [misc]simplify: iters left: 5 (25 enodes) 1540196976.351 * * [misc]simplify: iters left: 4 (35 enodes) 1540196976.357 * * [misc]simplify: iters left: 3 (49 enodes) 1540196976.362 * * [misc]simplify: iters left: 2 (60 enodes) 1540196976.369 * * [misc]simplify: iters left: 1 (75 enodes) 1540196976.380 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196976.380 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196976.380 * * * * [misc]progress: [ 1652 / 6870 ] simplifiying candidate # 1540196976.381 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540196976.381 * * [misc]simplify: iters left: 6 (20 enodes) 1540196976.385 * * [misc]simplify: iters left: 5 (32 enodes) 1540196976.389 * * [misc]simplify: iters left: 4 (46 enodes) 1540196976.396 * * [misc]simplify: iters left: 3 (84 enodes) 1540196976.412 * * [misc]simplify: iters left: 2 (180 enodes) 1540196976.453 * * [misc]simplify: iters left: 1 (297 enodes) 1540196976.512 * [exit]simplify: Simplified to (/ (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) 1540196976.512 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196976.512 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196976.512 * * [misc]simplify: iters left: 6 (18 enodes) 1540196976.515 * * [misc]simplify: iters left: 5 (25 enodes) 1540196976.518 * * [misc]simplify: iters left: 4 (35 enodes) 1540196976.522 * * [misc]simplify: iters left: 3 (49 enodes) 1540196976.528 * * [misc]simplify: iters left: 2 (60 enodes) 1540196976.536 * * [misc]simplify: iters left: 1 (75 enodes) 1540196976.547 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196976.547 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt PI))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196976.547 * * * * [misc]progress: [ 1653 / 6870 ] simplifiying candidate # 1540196976.547 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196976.547 * * [misc]simplify: iters left: 6 (22 enodes) 1540196976.551 * * [misc]simplify: iters left: 5 (35 enodes) 1540196976.557 * * [misc]simplify: iters left: 4 (56 enodes) 1540196976.566 * * [misc]simplify: iters left: 3 (126 enodes) 1540196976.595 * * [misc]simplify: iters left: 2 (309 enodes) 1540196976.713 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196976.713 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196976.713 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196976.714 * * [misc]simplify: iters left: 6 (19 enodes) 1540196976.716 * * [misc]simplify: iters left: 5 (26 enodes) 1540196976.720 * * [misc]simplify: iters left: 4 (36 enodes) 1540196976.725 * * [misc]simplify: iters left: 3 (50 enodes) 1540196976.731 * * [misc]simplify: iters left: 2 (61 enodes) 1540196976.738 * * [misc]simplify: iters left: 1 (76 enodes) 1540196976.750 * [exit]simplify: Simplified to (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196976.750 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196976.750 * * * * [misc]progress: [ 1654 / 6870 ] simplifiying candidate # 1540196976.750 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196976.751 * * [misc]simplify: iters left: 6 (21 enodes) 1540196976.755 * * [misc]simplify: iters left: 5 (32 enodes) 1540196976.759 * * [misc]simplify: iters left: 4 (46 enodes) 1540196976.766 * * [misc]simplify: iters left: 3 (84 enodes) 1540196976.781 * * [misc]simplify: iters left: 2 (180 enodes) 1540196976.821 * * [misc]simplify: iters left: 1 (339 enodes) 1540196976.922 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196976.922 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196976.922 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196976.922 * * [misc]simplify: iters left: 6 (19 enodes) 1540196976.925 * * [misc]simplify: iters left: 5 (26 enodes) 1540196976.928 * * [misc]simplify: iters left: 4 (36 enodes) 1540196976.933 * * [misc]simplify: iters left: 3 (50 enodes) 1540196976.939 * * [misc]simplify: iters left: 2 (61 enodes) 1540196976.948 * * [misc]simplify: iters left: 1 (76 enodes) 1540196976.958 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196976.958 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196976.958 * * * * [misc]progress: [ 1655 / 6870 ] simplifiying candidate # 1540196976.959 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) 1)) 1540196976.959 * * [misc]simplify: iters left: 6 (19 enodes) 1540196976.962 * * [misc]simplify: iters left: 5 (30 enodes) 1540196976.966 * * [misc]simplify: iters left: 4 (38 enodes) 1540196976.970 * * [misc]simplify: iters left: 3 (44 enodes) 1540196976.975 * * [misc]simplify: iters left: 2 (55 enodes) 1540196976.982 * * [misc]simplify: iters left: 1 (82 enodes) 1540196976.999 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196976.999 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196976.999 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196976.999 * * [misc]simplify: iters left: 6 (18 enodes) 1540196977.002 * * [misc]simplify: iters left: 5 (25 enodes) 1540196977.005 * * [misc]simplify: iters left: 4 (35 enodes) 1540196977.009 * * [misc]simplify: iters left: 3 (49 enodes) 1540196977.016 * * [misc]simplify: iters left: 2 (60 enodes) 1540196977.023 * * [misc]simplify: iters left: 1 (75 enodes) 1540196977.033 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196977.034 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196977.034 * * * * [misc]progress: [ 1656 / 6870 ] simplifiying candidate # 1540196977.034 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196977.034 * * [misc]simplify: iters left: 6 (19 enodes) 1540196977.037 * * [misc]simplify: iters left: 5 (29 enodes) 1540196977.041 * * [misc]simplify: iters left: 4 (45 enodes) 1540196977.048 * * [misc]simplify: iters left: 3 (76 enodes) 1540196977.062 * * [misc]simplify: iters left: 2 (131 enodes) 1540196977.083 * * [misc]simplify: iters left: 1 (185 enodes) 1540196977.118 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196977.118 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196977.118 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196977.118 * * [misc]simplify: iters left: 6 (19 enodes) 1540196977.120 * * [misc]simplify: iters left: 5 (26 enodes) 1540196977.124 * * [misc]simplify: iters left: 4 (36 enodes) 1540196977.128 * * [misc]simplify: iters left: 3 (50 enodes) 1540196977.134 * * [misc]simplify: iters left: 2 (61 enodes) 1540196977.141 * * [misc]simplify: iters left: 1 (76 enodes) 1540196977.153 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196977.153 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196977.153 * * * * [misc]progress: [ 1657 / 6870 ] simplifiying candidate # 1540196977.154 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196977.154 * * [misc]simplify: iters left: 6 (19 enodes) 1540196977.157 * * [misc]simplify: iters left: 5 (29 enodes) 1540196977.161 * * [misc]simplify: iters left: 4 (45 enodes) 1540196977.168 * * [misc]simplify: iters left: 3 (76 enodes) 1540196977.181 * * [misc]simplify: iters left: 2 (131 enodes) 1540196977.202 * * [misc]simplify: iters left: 1 (185 enodes) 1540196977.238 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196977.238 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196977.238 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196977.238 * * [misc]simplify: iters left: 6 (19 enodes) 1540196977.241 * * [misc]simplify: iters left: 5 (26 enodes) 1540196977.244 * * [misc]simplify: iters left: 4 (36 enodes) 1540196977.249 * * [misc]simplify: iters left: 3 (50 enodes) 1540196977.255 * * [misc]simplify: iters left: 2 (61 enodes) 1540196977.262 * * [misc]simplify: iters left: 1 (76 enodes) 1540196977.273 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196977.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196977.273 * * * * [misc]progress: [ 1658 / 6870 ] simplifiying candidate # 1540196977.273 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196977.273 * * [misc]simplify: iters left: 6 (21 enodes) 1540196977.276 * * [misc]simplify: iters left: 5 (32 enodes) 1540196977.282 * * [misc]simplify: iters left: 4 (54 enodes) 1540196977.290 * * [misc]simplify: iters left: 3 (110 enodes) 1540196977.314 * * [misc]simplify: iters left: 2 (247 enodes) 1540196977.387 * * [misc]simplify: iters left: 1 (485 enodes) 1540196977.595 * [exit]simplify: Simplified to (/ (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196977.595 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196977.595 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196977.595 * * [misc]simplify: iters left: 6 (20 enodes) 1540196977.598 * * [misc]simplify: iters left: 5 (27 enodes) 1540196977.602 * * [misc]simplify: iters left: 4 (37 enodes) 1540196977.607 * * [misc]simplify: iters left: 3 (51 enodes) 1540196977.613 * * [misc]simplify: iters left: 2 (62 enodes) 1540196977.620 * * [misc]simplify: iters left: 1 (77 enodes) 1540196977.631 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196977.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196977.632 * * * * [misc]progress: [ 1659 / 6870 ] simplifiying candidate # 1540196977.632 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196977.632 * * [misc]simplify: iters left: 6 (20 enodes) 1540196977.635 * * [misc]simplify: iters left: 5 (29 enodes) 1540196977.639 * * [misc]simplify: iters left: 4 (45 enodes) 1540196977.646 * * [misc]simplify: iters left: 3 (76 enodes) 1540196977.659 * * [misc]simplify: iters left: 2 (131 enodes) 1540196977.680 * * [misc]simplify: iters left: 1 (185 enodes) 1540196977.715 * [exit]simplify: Simplified to (/ (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (sqrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196977.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (sqrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196977.716 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196977.716 * * [misc]simplify: iters left: 6 (20 enodes) 1540196977.718 * * [misc]simplify: iters left: 5 (27 enodes) 1540196977.722 * * [misc]simplify: iters left: 4 (37 enodes) 1540196977.727 * * [misc]simplify: iters left: 3 (51 enodes) 1540196977.733 * * [misc]simplify: iters left: 2 (62 enodes) 1540196977.740 * * [misc]simplify: iters left: 1 (77 enodes) 1540196977.751 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196977.751 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (sqrt (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196977.751 * * * * [misc]progress: [ 1660 / 6870 ] simplifiying candidate # 1540196977.752 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196977.752 * * [misc]simplify: iters left: 6 (19 enodes) 1540196977.754 * * [misc]simplify: iters left: 5 (30 enodes) 1540196977.759 * * [misc]simplify: iters left: 4 (49 enodes) 1540196977.766 * * [misc]simplify: iters left: 3 (69 enodes) 1540196977.777 * * [misc]simplify: iters left: 2 (104 enodes) 1540196977.794 * * [misc]simplify: iters left: 1 (191 enodes) 1540196977.853 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196977.853 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196977.854 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196977.854 * * [misc]simplify: iters left: 6 (19 enodes) 1540196977.856 * * [misc]simplify: iters left: 5 (26 enodes) 1540196977.860 * * [misc]simplify: iters left: 4 (36 enodes) 1540196977.865 * * [misc]simplify: iters left: 3 (50 enodes) 1540196977.871 * * [misc]simplify: iters left: 2 (61 enodes) 1540196977.878 * * [misc]simplify: iters left: 1 (76 enodes) 1540196977.889 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196977.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196977.889 * * * * [misc]progress: [ 1661 / 6870 ] simplifiying candidate # 1540196977.890 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196977.890 * * [misc]simplify: iters left: 6 (19 enodes) 1540196977.893 * * [misc]simplify: iters left: 5 (31 enodes) 1540196977.898 * * [misc]simplify: iters left: 4 (45 enodes) 1540196977.905 * * [misc]simplify: iters left: 3 (84 enodes) 1540196977.921 * * [misc]simplify: iters left: 2 (140 enodes) 1540196977.944 * * [misc]simplify: iters left: 1 (175 enodes) 1540196977.965 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196977.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196977.965 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196977.966 * * [misc]simplify: iters left: 6 (18 enodes) 1540196977.968 * * [misc]simplify: iters left: 5 (25 enodes) 1540196977.971 * * [misc]simplify: iters left: 4 (35 enodes) 1540196977.976 * * [misc]simplify: iters left: 3 (49 enodes) 1540196977.983 * * [misc]simplify: iters left: 2 (60 enodes) 1540196977.990 * * [misc]simplify: iters left: 1 (75 enodes) 1540196978.001 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.001 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196978.001 * * * * [misc]progress: [ 1662 / 6870 ] simplifiying candidate # 1540196978.001 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540196978.001 * * [misc]simplify: iters left: 6 (19 enodes) 1540196978.005 * * [misc]simplify: iters left: 5 (31 enodes) 1540196978.009 * * [misc]simplify: iters left: 4 (45 enodes) 1540196978.016 * * [misc]simplify: iters left: 3 (84 enodes) 1540196978.031 * * [misc]simplify: iters left: 2 (140 enodes) 1540196978.055 * * [misc]simplify: iters left: 1 (175 enodes) 1540196978.076 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196978.076 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196978.076 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196978.076 * * [misc]simplify: iters left: 6 (18 enodes) 1540196978.079 * * [misc]simplify: iters left: 5 (25 enodes) 1540196978.082 * * [misc]simplify: iters left: 4 (35 enodes) 1540196978.087 * * [misc]simplify: iters left: 3 (49 enodes) 1540196978.092 * * [misc]simplify: iters left: 2 (60 enodes) 1540196978.100 * * [misc]simplify: iters left: 1 (75 enodes) 1540196978.110 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.110 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196978.110 * * * * [misc]progress: [ 1663 / 6870 ] simplifiying candidate # 1540196978.111 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196978.111 * * [misc]simplify: iters left: 6 (21 enodes) 1540196978.114 * * [misc]simplify: iters left: 5 (34 enodes) 1540196978.120 * * [misc]simplify: iters left: 4 (54 enodes) 1540196978.129 * * [misc]simplify: iters left: 3 (130 enodes) 1540196978.157 * * [misc]simplify: iters left: 2 (288 enodes) 1540196978.255 * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196978.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196978.255 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196978.255 * * [misc]simplify: iters left: 6 (19 enodes) 1540196978.258 * * [misc]simplify: iters left: 5 (26 enodes) 1540196978.261 * * [misc]simplify: iters left: 4 (36 enodes) 1540196978.266 * * [misc]simplify: iters left: 3 (50 enodes) 1540196978.272 * * [misc]simplify: iters left: 2 (61 enodes) 1540196978.279 * * [misc]simplify: iters left: 1 (76 enodes) 1540196978.290 * [exit]simplify: Simplified to (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.290 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196978.290 * * * * [misc]progress: [ 1664 / 6870 ] simplifiying candidate # 1540196978.290 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196978.291 * * [misc]simplify: iters left: 6 (20 enodes) 1540196978.293 * * [misc]simplify: iters left: 5 (31 enodes) 1540196978.297 * * [misc]simplify: iters left: 4 (45 enodes) 1540196978.304 * * [misc]simplify: iters left: 3 (84 enodes) 1540196978.319 * * [misc]simplify: iters left: 2 (142 enodes) 1540196978.343 * * [misc]simplify: iters left: 1 (236 enodes) 1540196978.393 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196978.393 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196978.393 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196978.393 * * [misc]simplify: iters left: 6 (19 enodes) 1540196978.396 * * [misc]simplify: iters left: 5 (26 enodes) 1540196978.399 * * [misc]simplify: iters left: 4 (36 enodes) 1540196978.404 * * [misc]simplify: iters left: 3 (50 enodes) 1540196978.409 * * [misc]simplify: iters left: 2 (61 enodes) 1540196978.417 * * [misc]simplify: iters left: 1 (76 enodes) 1540196978.428 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.428 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196978.428 * * * * [misc]progress: [ 1665 / 6870 ] simplifiying candidate # 1540196978.428 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ 1 1)) 1540196978.428 * * [misc]simplify: iters left: 6 (18 enodes) 1540196978.431 * * [misc]simplify: iters left: 5 (27 enodes) 1540196978.434 * * [misc]simplify: iters left: 4 (35 enodes) 1540196978.439 * * [misc]simplify: iters left: 3 (38 enodes) 1540196978.442 * * [misc]simplify: iters left: 2 (41 enodes) 1540196978.447 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.447 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196978.447 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196978.447 * * [misc]simplify: iters left: 6 (18 enodes) 1540196978.451 * * [misc]simplify: iters left: 5 (25 enodes) 1540196978.454 * * [misc]simplify: iters left: 4 (35 enodes) 1540196978.459 * * [misc]simplify: iters left: 3 (49 enodes) 1540196978.465 * * [misc]simplify: iters left: 2 (60 enodes) 1540196978.472 * * [misc]simplify: iters left: 1 (75 enodes) 1540196978.483 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.483 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196978.483 * * * * [misc]progress: [ 1666 / 6870 ] simplifiying candidate # 1540196978.483 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1) 1540196978.483 * * [misc]simplify: iters left: 6 (17 enodes) 1540196978.485 * * [misc]simplify: iters left: 5 (26 enodes) 1540196978.489 * * [misc]simplify: iters left: 4 (34 enodes) 1540196978.493 * * [misc]simplify: iters left: 3 (38 enodes) 1540196978.497 * * [misc]simplify: iters left: 2 (41 enodes) 1540196978.501 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196978.501 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196978.501 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196978.501 * * [misc]simplify: iters left: 6 (18 enodes) 1540196978.504 * * [misc]simplify: iters left: 5 (25 enodes) 1540196978.507 * * [misc]simplify: iters left: 4 (35 enodes) 1540196978.512 * * [misc]simplify: iters left: 3 (49 enodes) 1540196978.518 * * [misc]simplify: iters left: 2 (60 enodes) 1540196978.526 * * [misc]simplify: iters left: 1 (75 enodes) 1540196978.536 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.536 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196978.537 * * * * [misc]progress: [ 1667 / 6870 ] simplifiying candidate # 1540196978.537 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) 1540196978.537 * * [misc]simplify: iters left: 6 (16 enodes) 1540196978.539 * * [misc]simplify: iters left: 5 (23 enodes) 1540196978.542 * * [misc]simplify: iters left: 4 (31 enodes) 1540196978.546 * * [misc]simplify: iters left: 3 (34 enodes) 1540196978.549 * * [misc]simplify: iters left: 2 (40 enodes) 1540196978.554 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) 1540196978.554 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196978.554 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196978.555 * * [misc]simplify: iters left: 6 (19 enodes) 1540196978.557 * * [misc]simplify: iters left: 5 (28 enodes) 1540196978.561 * * [misc]simplify: iters left: 4 (40 enodes) 1540196978.566 * * [misc]simplify: iters left: 3 (59 enodes) 1540196978.574 * * [misc]simplify: iters left: 2 (88 enodes) 1540196978.588 * * [misc]simplify: iters left: 1 (175 enodes) 1540196978.621 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.621 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196978.621 * * * * [misc]progress: [ 1668 / 6870 ] simplifiying candidate # 1540196978.621 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (* (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196978.621 * * [misc]simplify: iters left: 6 (18 enodes) 1540196978.624 * * [misc]simplify: iters left: 5 (28 enodes) 1540196978.629 * * [misc]simplify: iters left: 4 (44 enodes) 1540196978.635 * * [misc]simplify: iters left: 3 (75 enodes) 1540196978.649 * * [misc]simplify: iters left: 2 (130 enodes) 1540196978.671 * * [misc]simplify: iters left: 1 (184 enodes) 1540196978.706 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196978.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196978.706 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196978.706 * * [misc]simplify: iters left: 6 (17 enodes) 1540196978.709 * * [misc]simplify: iters left: 5 (22 enodes) 1540196978.712 * * [misc]simplify: iters left: 4 (26 enodes) 1540196978.715 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.715 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 2) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (cbrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196978.715 * * * * [misc]progress: [ 1669 / 6870 ] simplifiying candidate # 1540196978.715 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196978.715 * * [misc]simplify: iters left: 6 (19 enodes) 1540196978.718 * * [misc]simplify: iters left: 5 (26 enodes) 1540196978.723 * * [misc]simplify: iters left: 4 (35 enodes) 1540196978.727 * * [misc]simplify: iters left: 3 (40 enodes) 1540196978.732 * * [misc]simplify: iters left: 2 (41 enodes) 1540196978.737 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196978.737 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196978.737 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196978.737 * * [misc]simplify: iters left: 6 (19 enodes) 1540196978.740 * * [misc]simplify: iters left: 5 (24 enodes) 1540196978.743 * * [misc]simplify: iters left: 4 (28 enodes) 1540196978.747 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.747 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196978.747 * * * * [misc]progress: [ 1670 / 6870 ] simplifiying candidate # 1540196978.747 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196978.747 * * [misc]simplify: iters left: 6 (18 enodes) 1540196978.749 * * [misc]simplify: iters left: 5 (23 enodes) 1540196978.753 * * [misc]simplify: iters left: 4 (29 enodes) 1540196978.756 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.756 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196978.756 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196978.757 * * [misc]simplify: iters left: 6 (19 enodes) 1540196978.759 * * [misc]simplify: iters left: 5 (24 enodes) 1540196978.762 * * [misc]simplify: iters left: 4 (28 enodes) 1540196978.766 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.766 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196978.766 * * * * [misc]progress: [ 1671 / 6870 ] simplifiying candidate # 1540196978.766 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196978.766 * * [misc]simplify: iters left: 6 (19 enodes) 1540196978.770 * * [misc]simplify: iters left: 5 (29 enodes) 1540196978.774 * * [misc]simplify: iters left: 4 (48 enodes) 1540196978.782 * * [misc]simplify: iters left: 3 (89 enodes) 1540196978.798 * * [misc]simplify: iters left: 2 (150 enodes) 1540196978.824 * * [misc]simplify: iters left: 1 (197 enodes) 1540196978.863 * [exit]simplify: Simplified to (/ (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.863 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196978.863 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196978.863 * * [misc]simplify: iters left: 6 (19 enodes) 1540196978.866 * * [misc]simplify: iters left: 5 (26 enodes) 1540196978.869 * * [misc]simplify: iters left: 4 (36 enodes) 1540196978.874 * * [misc]simplify: iters left: 3 (50 enodes) 1540196978.880 * * [misc]simplify: iters left: 2 (61 enodes) 1540196978.887 * * [misc]simplify: iters left: 1 (76 enodes) 1540196978.898 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.898 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196978.898 * * * * [misc]progress: [ 1672 / 6870 ] simplifiying candidate # 1540196978.898 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196978.899 * * [misc]simplify: iters left: 6 (19 enodes) 1540196978.902 * * [misc]simplify: iters left: 5 (29 enodes) 1540196978.906 * * [misc]simplify: iters left: 4 (48 enodes) 1540196978.914 * * [misc]simplify: iters left: 3 (89 enodes) 1540196978.931 * * [misc]simplify: iters left: 2 (150 enodes) 1540196978.956 * * [misc]simplify: iters left: 1 (197 enodes) 1540196978.995 * [exit]simplify: Simplified to (/ (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196978.995 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196978.995 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196978.995 * * [misc]simplify: iters left: 6 (19 enodes) 1540196978.998 * * [misc]simplify: iters left: 5 (26 enodes) 1540196979.001 * * [misc]simplify: iters left: 4 (36 enodes) 1540196979.006 * * [misc]simplify: iters left: 3 (50 enodes) 1540196979.012 * * [misc]simplify: iters left: 2 (61 enodes) 1540196979.019 * * [misc]simplify: iters left: 1 (76 enodes) 1540196979.030 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.030 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (* (sqrt PI) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196979.030 * * * * [misc]progress: [ 1673 / 6870 ] simplifiying candidate # 1540196979.031 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196979.031 * * [misc]simplify: iters left: 6 (21 enodes) 1540196979.034 * * [misc]simplify: iters left: 5 (34 enodes) 1540196979.039 * * [misc]simplify: iters left: 4 (70 enodes) 1540196979.051 * * [misc]simplify: iters left: 3 (153 enodes) 1540196979.085 * * [misc]simplify: iters left: 2 (315 enodes) 1540196979.187 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196979.187 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196979.187 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196979.187 * * [misc]simplify: iters left: 6 (20 enodes) 1540196979.190 * * [misc]simplify: iters left: 5 (27 enodes) 1540196979.193 * * [misc]simplify: iters left: 4 (37 enodes) 1540196979.198 * * [misc]simplify: iters left: 3 (51 enodes) 1540196979.205 * * [misc]simplify: iters left: 2 (62 enodes) 1540196979.212 * * [misc]simplify: iters left: 1 (77 enodes) 1540196979.223 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.223 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196979.223 * * * * [misc]progress: [ 1674 / 6870 ] simplifiying candidate # 1540196979.223 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196979.223 * * [misc]simplify: iters left: 6 (20 enodes) 1540196979.226 * * [misc]simplify: iters left: 5 (29 enodes) 1540196979.230 * * [misc]simplify: iters left: 4 (48 enodes) 1540196979.237 * * [misc]simplify: iters left: 3 (89 enodes) 1540196979.253 * * [misc]simplify: iters left: 2 (150 enodes) 1540196979.277 * * [misc]simplify: iters left: 1 (197 enodes) 1540196979.315 * [exit]simplify: Simplified to (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540196979.315 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196979.316 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196979.316 * * [misc]simplify: iters left: 6 (20 enodes) 1540196979.319 * * [misc]simplify: iters left: 5 (27 enodes) 1540196979.322 * * [misc]simplify: iters left: 4 (37 enodes) 1540196979.327 * * [misc]simplify: iters left: 3 (51 enodes) 1540196979.333 * * [misc]simplify: iters left: 2 (62 enodes) 1540196979.340 * * [misc]simplify: iters left: 1 (77 enodes) 1540196979.351 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.352 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196979.352 * * * * [misc]progress: [ 1675 / 6870 ] simplifiying candidate # 1540196979.352 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196979.352 * * [misc]simplify: iters left: 6 (19 enodes) 1540196979.355 * * [misc]simplify: iters left: 5 (30 enodes) 1540196979.359 * * [misc]simplify: iters left: 4 (51 enodes) 1540196979.367 * * [misc]simplify: iters left: 3 (104 enodes) 1540196979.392 * * [misc]simplify: iters left: 2 (283 enodes) 1540196979.490 * [exit]simplify: Simplified to (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.490 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196979.490 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196979.490 * * [misc]simplify: iters left: 6 (19 enodes) 1540196979.493 * * [misc]simplify: iters left: 5 (26 enodes) 1540196979.496 * * [misc]simplify: iters left: 4 (36 enodes) 1540196979.501 * * [misc]simplify: iters left: 3 (50 enodes) 1540196979.507 * * [misc]simplify: iters left: 2 (61 enodes) 1540196979.515 * * [misc]simplify: iters left: 1 (76 enodes) 1540196979.526 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.526 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196979.526 * * * * [misc]progress: [ 1676 / 6870 ] simplifiying candidate # 1540196979.527 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196979.527 * * [misc]simplify: iters left: 6 (20 enodes) 1540196979.530 * * [misc]simplify: iters left: 5 (29 enodes) 1540196979.534 * * [misc]simplify: iters left: 4 (41 enodes) 1540196979.540 * * [misc]simplify: iters left: 3 (55 enodes) 1540196979.547 * * [misc]simplify: iters left: 2 (66 enodes) 1540196979.555 * * [misc]simplify: iters left: 1 (81 enodes) 1540196979.567 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.567 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196979.567 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196979.567 * * [misc]simplify: iters left: 6 (20 enodes) 1540196979.570 * * [misc]simplify: iters left: 5 (27 enodes) 1540196979.573 * * [misc]simplify: iters left: 4 (37 enodes) 1540196979.579 * * [misc]simplify: iters left: 3 (51 enodes) 1540196979.585 * * [misc]simplify: iters left: 2 (62 enodes) 1540196979.592 * * [misc]simplify: iters left: 1 (77 enodes) 1540196979.603 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.603 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196979.604 * * * * [misc]progress: [ 1677 / 6870 ] simplifiying candidate # 1540196979.604 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196979.604 * * [misc]simplify: iters left: 6 (20 enodes) 1540196979.607 * * [misc]simplify: iters left: 5 (29 enodes) 1540196979.611 * * [misc]simplify: iters left: 4 (41 enodes) 1540196979.617 * * [misc]simplify: iters left: 3 (55 enodes) 1540196979.624 * * [misc]simplify: iters left: 2 (66 enodes) 1540196979.632 * * [misc]simplify: iters left: 1 (81 enodes) 1540196979.644 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.644 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196979.644 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196979.644 * * [misc]simplify: iters left: 6 (20 enodes) 1540196979.648 * * [misc]simplify: iters left: 5 (27 enodes) 1540196979.651 * * [misc]simplify: iters left: 4 (37 enodes) 1540196979.656 * * [misc]simplify: iters left: 3 (51 enodes) 1540196979.662 * * [misc]simplify: iters left: 2 (62 enodes) 1540196979.670 * * [misc]simplify: iters left: 1 (77 enodes) 1540196979.680 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.680 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196979.681 * * * * [misc]progress: [ 1678 / 6870 ] simplifiying candidate # 1540196979.681 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196979.681 * * [misc]simplify: iters left: 6 (22 enodes) 1540196979.684 * * [misc]simplify: iters left: 5 (32 enodes) 1540196979.688 * * [misc]simplify: iters left: 4 (50 enodes) 1540196979.696 * * [misc]simplify: iters left: 3 (83 enodes) 1540196979.709 * * [misc]simplify: iters left: 2 (138 enodes) 1540196979.733 * * [misc]simplify: iters left: 1 (203 enodes) 1540196979.775 * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.775 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196979.775 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196979.775 * * [misc]simplify: iters left: 6 (21 enodes) 1540196979.778 * * [misc]simplify: iters left: 5 (28 enodes) 1540196979.783 * * [misc]simplify: iters left: 4 (38 enodes) 1540196979.788 * * [misc]simplify: iters left: 3 (52 enodes) 1540196979.794 * * [misc]simplify: iters left: 2 (63 enodes) 1540196979.802 * * [misc]simplify: iters left: 1 (78 enodes) 1540196979.813 * [exit]simplify: Simplified to (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.813 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (fabs (cbrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196979.813 * * * * [misc]progress: [ 1679 / 6870 ] simplifiying candidate # 1540196979.813 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196979.814 * * [misc]simplify: iters left: 6 (21 enodes) 1540196979.816 * * [misc]simplify: iters left: 5 (29 enodes) 1540196979.820 * * [misc]simplify: iters left: 4 (41 enodes) 1540196979.825 * * [misc]simplify: iters left: 3 (55 enodes) 1540196979.832 * * [misc]simplify: iters left: 2 (66 enodes) 1540196979.840 * * [misc]simplify: iters left: 1 (81 enodes) 1540196979.852 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.852 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196979.853 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196979.853 * * [misc]simplify: iters left: 6 (21 enodes) 1540196979.855 * * [misc]simplify: iters left: 5 (28 enodes) 1540196979.859 * * [misc]simplify: iters left: 4 (38 enodes) 1540196979.864 * * [misc]simplify: iters left: 3 (52 enodes) 1540196979.870 * * [misc]simplify: iters left: 2 (63 enodes) 1540196979.878 * * [misc]simplify: iters left: 1 (78 enodes) 1540196979.889 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196979.889 * * * * [misc]progress: [ 1680 / 6870 ] simplifiying candidate # 1540196979.890 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196979.890 * * [misc]simplify: iters left: 6 (20 enodes) 1540196979.893 * * [misc]simplify: iters left: 5 (29 enodes) 1540196979.897 * * [misc]simplify: iters left: 4 (42 enodes) 1540196979.903 * * [misc]simplify: iters left: 3 (58 enodes) 1540196979.910 * * [misc]simplify: iters left: 2 (72 enodes) 1540196979.921 * * [misc]simplify: iters left: 1 (108 enodes) 1540196979.942 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.942 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196979.942 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196979.942 * * [misc]simplify: iters left: 6 (20 enodes) 1540196979.945 * * [misc]simplify: iters left: 5 (27 enodes) 1540196979.948 * * [misc]simplify: iters left: 4 (37 enodes) 1540196979.953 * * [misc]simplify: iters left: 3 (51 enodes) 1540196979.959 * * [misc]simplify: iters left: 2 (62 enodes) 1540196979.967 * * [misc]simplify: iters left: 1 (77 enodes) 1540196979.978 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196979.978 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (cbrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196979.978 * * * * [misc]progress: [ 1681 / 6870 ] simplifiying candidate # 1540196979.978 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196979.979 * * [misc]simplify: iters left: 6 (18 enodes) 1540196979.982 * * [misc]simplify: iters left: 5 (26 enodes) 1540196979.985 * * [misc]simplify: iters left: 4 (38 enodes) 1540196979.992 * * [misc]simplify: iters left: 3 (52 enodes) 1540196979.999 * * [misc]simplify: iters left: 2 (63 enodes) 1540196980.007 * * [misc]simplify: iters left: 1 (78 enodes) 1540196980.019 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.019 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196980.019 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196980.019 * * [misc]simplify: iters left: 6 (19 enodes) 1540196980.021 * * [misc]simplify: iters left: 5 (26 enodes) 1540196980.025 * * [misc]simplify: iters left: 4 (36 enodes) 1540196980.029 * * [misc]simplify: iters left: 3 (50 enodes) 1540196980.035 * * [misc]simplify: iters left: 2 (61 enodes) 1540196980.043 * * [misc]simplify: iters left: 1 (76 enodes) 1540196980.054 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.054 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196980.054 * * * * [misc]progress: [ 1682 / 6870 ] simplifiying candidate # 1540196980.054 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196980.054 * * [misc]simplify: iters left: 6 (18 enodes) 1540196980.058 * * [misc]simplify: iters left: 5 (26 enodes) 1540196980.062 * * [misc]simplify: iters left: 4 (38 enodes) 1540196980.068 * * [misc]simplify: iters left: 3 (52 enodes) 1540196980.074 * * [misc]simplify: iters left: 2 (63 enodes) 1540196980.082 * * [misc]simplify: iters left: 1 (78 enodes) 1540196980.094 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.094 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196980.094 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196980.094 * * [misc]simplify: iters left: 6 (19 enodes) 1540196980.097 * * [misc]simplify: iters left: 5 (26 enodes) 1540196980.100 * * [misc]simplify: iters left: 4 (36 enodes) 1540196980.105 * * [misc]simplify: iters left: 3 (50 enodes) 1540196980.111 * * [misc]simplify: iters left: 2 (61 enodes) 1540196980.118 * * [misc]simplify: iters left: 1 (76 enodes) 1540196980.130 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.130 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196980.131 * * * * [misc]progress: [ 1683 / 6870 ] simplifiying candidate # 1540196980.131 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196980.131 * * [misc]simplify: iters left: 6 (20 enodes) 1540196980.134 * * [misc]simplify: iters left: 5 (29 enodes) 1540196980.138 * * [misc]simplify: iters left: 4 (47 enodes) 1540196980.144 * * [misc]simplify: iters left: 3 (80 enodes) 1540196980.157 * * [misc]simplify: iters left: 2 (135 enodes) 1540196980.179 * * [misc]simplify: iters left: 1 (193 enodes) 1540196980.221 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196980.221 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196980.222 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196980.222 * * [misc]simplify: iters left: 6 (20 enodes) 1540196980.224 * * [misc]simplify: iters left: 5 (27 enodes) 1540196980.228 * * [misc]simplify: iters left: 4 (37 enodes) 1540196980.233 * * [misc]simplify: iters left: 3 (51 enodes) 1540196980.239 * * [misc]simplify: iters left: 2 (62 enodes) 1540196980.246 * * [misc]simplify: iters left: 1 (77 enodes) 1540196980.257 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.257 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196980.258 * * * * [misc]progress: [ 1684 / 6870 ] simplifiying candidate # 1540196980.258 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196980.258 * * [misc]simplify: iters left: 6 (19 enodes) 1540196980.261 * * [misc]simplify: iters left: 5 (26 enodes) 1540196980.265 * * [misc]simplify: iters left: 4 (38 enodes) 1540196980.270 * * [misc]simplify: iters left: 3 (52 enodes) 1540196980.276 * * [misc]simplify: iters left: 2 (63 enodes) 1540196980.283 * * [misc]simplify: iters left: 1 (78 enodes) 1540196980.294 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.294 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196980.294 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196980.294 * * [misc]simplify: iters left: 6 (20 enodes) 1540196980.297 * * [misc]simplify: iters left: 5 (27 enodes) 1540196980.301 * * [misc]simplify: iters left: 4 (37 enodes) 1540196980.306 * * [misc]simplify: iters left: 3 (51 enodes) 1540196980.311 * * [misc]simplify: iters left: 2 (62 enodes) 1540196980.319 * * [misc]simplify: iters left: 1 (77 enodes) 1540196980.331 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.331 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196980.331 * * * * [misc]progress: [ 1685 / 6870 ] simplifiying candidate # 1540196980.331 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196980.331 * * [misc]simplify: iters left: 6 (18 enodes) 1540196980.334 * * [misc]simplify: iters left: 5 (27 enodes) 1540196980.338 * * [misc]simplify: iters left: 4 (43 enodes) 1540196980.343 * * [misc]simplify: iters left: 3 (52 enodes) 1540196980.349 * * [misc]simplify: iters left: 2 (65 enodes) 1540196980.357 * * [misc]simplify: iters left: 1 (90 enodes) 1540196980.370 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.370 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196980.370 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196980.370 * * [misc]simplify: iters left: 6 (19 enodes) 1540196980.373 * * [misc]simplify: iters left: 5 (26 enodes) 1540196980.376 * * [misc]simplify: iters left: 4 (36 enodes) 1540196980.381 * * [misc]simplify: iters left: 3 (50 enodes) 1540196980.387 * * [misc]simplify: iters left: 2 (61 enodes) 1540196980.394 * * [misc]simplify: iters left: 1 (76 enodes) 1540196980.406 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.406 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196980.406 * * * * [misc]progress: [ 1686 / 6870 ] simplifiying candidate # 1540196980.406 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196980.406 * * [misc]simplify: iters left: 6 (19 enodes) 1540196980.410 * * [misc]simplify: iters left: 5 (29 enodes) 1540196980.414 * * [misc]simplify: iters left: 4 (44 enodes) 1540196980.420 * * [misc]simplify: iters left: 3 (60 enodes) 1540196980.428 * * [misc]simplify: iters left: 2 (79 enodes) 1540196980.437 * * [misc]simplify: iters left: 1 (106 enodes) 1540196980.450 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.450 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196980.450 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196980.450 * * [misc]simplify: iters left: 6 (18 enodes) 1540196980.453 * * [misc]simplify: iters left: 5 (25 enodes) 1540196980.456 * * [misc]simplify: iters left: 4 (35 enodes) 1540196980.461 * * [misc]simplify: iters left: 3 (49 enodes) 1540196980.468 * * [misc]simplify: iters left: 2 (60 enodes) 1540196980.475 * * [misc]simplify: iters left: 1 (75 enodes) 1540196980.486 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.486 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196980.486 * * * * [misc]progress: [ 1687 / 6870 ] simplifiying candidate # 1540196980.486 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540196980.487 * * [misc]simplify: iters left: 6 (19 enodes) 1540196980.490 * * [misc]simplify: iters left: 5 (29 enodes) 1540196980.494 * * [misc]simplify: iters left: 4 (44 enodes) 1540196980.500 * * [misc]simplify: iters left: 3 (60 enodes) 1540196980.508 * * [misc]simplify: iters left: 2 (79 enodes) 1540196980.518 * * [misc]simplify: iters left: 1 (106 enodes) 1540196980.530 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.530 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196980.530 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196980.531 * * [misc]simplify: iters left: 6 (18 enodes) 1540196980.533 * * [misc]simplify: iters left: 5 (25 enodes) 1540196980.536 * * [misc]simplify: iters left: 4 (35 enodes) 1540196980.542 * * [misc]simplify: iters left: 3 (49 enodes) 1540196980.548 * * [misc]simplify: iters left: 2 (60 enodes) 1540196980.555 * * [misc]simplify: iters left: 1 (75 enodes) 1540196980.566 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.566 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt 2)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196980.566 * * * * [misc]progress: [ 1688 / 6870 ] simplifiying candidate # 1540196980.567 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196980.567 * * [misc]simplify: iters left: 6 (21 enodes) 1540196980.570 * * [misc]simplify: iters left: 5 (32 enodes) 1540196980.574 * * [misc]simplify: iters left: 4 (54 enodes) 1540196980.582 * * [misc]simplify: iters left: 3 (106 enodes) 1540196980.601 * * [misc]simplify: iters left: 2 (200 enodes) 1540196980.643 * * [misc]simplify: iters left: 1 (439 enodes) 1540196980.843 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) 1540196980.843 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196980.844 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196980.844 * * [misc]simplify: iters left: 6 (19 enodes) 1540196980.848 * * [misc]simplify: iters left: 5 (26 enodes) 1540196980.851 * * [misc]simplify: iters left: 4 (36 enodes) 1540196980.856 * * [misc]simplify: iters left: 3 (50 enodes) 1540196980.862 * * [misc]simplify: iters left: 2 (61 enodes) 1540196980.870 * * [misc]simplify: iters left: 1 (76 enodes) 1540196980.881 * [exit]simplify: Simplified to (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196980.881 * * * * [misc]progress: [ 1689 / 6870 ] simplifiying candidate # 1540196980.881 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196980.881 * * [misc]simplify: iters left: 6 (20 enodes) 1540196980.884 * * [misc]simplify: iters left: 5 (29 enodes) 1540196980.888 * * [misc]simplify: iters left: 4 (44 enodes) 1540196980.894 * * [misc]simplify: iters left: 3 (59 enodes) 1540196980.901 * * [misc]simplify: iters left: 2 (75 enodes) 1540196980.910 * * [misc]simplify: iters left: 1 (113 enodes) 1540196980.926 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.926 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196980.926 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196980.926 * * [misc]simplify: iters left: 6 (19 enodes) 1540196980.929 * * [misc]simplify: iters left: 5 (26 enodes) 1540196980.932 * * [misc]simplify: iters left: 4 (36 enodes) 1540196980.937 * * [misc]simplify: iters left: 3 (50 enodes) 1540196980.943 * * [misc]simplify: iters left: 2 (61 enodes) 1540196980.950 * * [misc]simplify: iters left: 1 (76 enodes) 1540196980.961 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.962 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196980.962 * * * * [misc]progress: [ 1690 / 6870 ] simplifiying candidate # 1540196980.962 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540196980.962 * * [misc]simplify: iters left: 6 (18 enodes) 1540196980.965 * * [misc]simplify: iters left: 5 (27 enodes) 1540196980.968 * * [misc]simplify: iters left: 4 (33 enodes) 1540196980.972 * * [misc]simplify: iters left: 3 (38 enodes) 1540196980.976 * * [misc]simplify: iters left: 2 (42 enodes) 1540196980.981 * * [misc]simplify: iters left: 1 (58 enodes) 1540196980.991 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196980.991 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196980.991 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196980.991 * * [misc]simplify: iters left: 6 (18 enodes) 1540196980.994 * * [misc]simplify: iters left: 5 (25 enodes) 1540196980.997 * * [misc]simplify: iters left: 4 (35 enodes) 1540196981.002 * * [misc]simplify: iters left: 3 (49 enodes) 1540196981.008 * * [misc]simplify: iters left: 2 (60 enodes) 1540196981.015 * * [misc]simplify: iters left: 1 (75 enodes) 1540196981.026 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.026 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196981.026 * * * * [misc]progress: [ 1691 / 6870 ] simplifiying candidate # 1540196981.026 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196981.026 * * [misc]simplify: iters left: 6 (18 enodes) 1540196981.030 * * [misc]simplify: iters left: 5 (26 enodes) 1540196981.033 * * [misc]simplify: iters left: 4 (38 enodes) 1540196981.039 * * [misc]simplify: iters left: 3 (52 enodes) 1540196981.045 * * [misc]simplify: iters left: 2 (63 enodes) 1540196981.054 * * [misc]simplify: iters left: 1 (78 enodes) 1540196981.066 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.066 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196981.067 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196981.067 * * [misc]simplify: iters left: 6 (19 enodes) 1540196981.069 * * [misc]simplify: iters left: 5 (26 enodes) 1540196981.073 * * [misc]simplify: iters left: 4 (36 enodes) 1540196981.078 * * [misc]simplify: iters left: 3 (50 enodes) 1540196981.084 * * [misc]simplify: iters left: 2 (61 enodes) 1540196981.091 * * [misc]simplify: iters left: 1 (76 enodes) 1540196981.102 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.102 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196981.102 * * * * [misc]progress: [ 1692 / 6870 ] simplifiying candidate # 1540196981.102 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196981.102 * * [misc]simplify: iters left: 6 (18 enodes) 1540196981.106 * * [misc]simplify: iters left: 5 (26 enodes) 1540196981.110 * * [misc]simplify: iters left: 4 (38 enodes) 1540196981.115 * * [misc]simplify: iters left: 3 (52 enodes) 1540196981.121 * * [misc]simplify: iters left: 2 (63 enodes) 1540196981.130 * * [misc]simplify: iters left: 1 (78 enodes) 1540196981.142 * [exit]simplify: Simplified to (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.142 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196981.142 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196981.142 * * [misc]simplify: iters left: 6 (19 enodes) 1540196981.144 * * [misc]simplify: iters left: 5 (26 enodes) 1540196981.148 * * [misc]simplify: iters left: 4 (36 enodes) 1540196981.152 * * [misc]simplify: iters left: 3 (50 enodes) 1540196981.158 * * [misc]simplify: iters left: 2 (61 enodes) 1540196981.166 * * [misc]simplify: iters left: 1 (76 enodes) 1540196981.176 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.176 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196981.177 * * * * [misc]progress: [ 1693 / 6870 ] simplifiying candidate # 1540196981.177 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196981.177 * * [misc]simplify: iters left: 6 (20 enodes) 1540196981.180 * * [misc]simplify: iters left: 5 (29 enodes) 1540196981.183 * * [misc]simplify: iters left: 4 (47 enodes) 1540196981.190 * * [misc]simplify: iters left: 3 (80 enodes) 1540196981.203 * * [misc]simplify: iters left: 2 (135 enodes) 1540196981.225 * * [misc]simplify: iters left: 1 (193 enodes) 1540196981.266 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196981.266 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196981.267 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196981.267 * * [misc]simplify: iters left: 6 (20 enodes) 1540196981.269 * * [misc]simplify: iters left: 5 (27 enodes) 1540196981.273 * * [misc]simplify: iters left: 4 (37 enodes) 1540196981.277 * * [misc]simplify: iters left: 3 (51 enodes) 1540196981.283 * * [misc]simplify: iters left: 2 (62 enodes) 1540196981.290 * * [misc]simplify: iters left: 1 (77 enodes) 1540196981.302 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.302 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt (sqrt k))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196981.302 * * * * [misc]progress: [ 1694 / 6870 ] simplifiying candidate # 1540196981.302 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196981.302 * * [misc]simplify: iters left: 6 (19 enodes) 1540196981.304 * * [misc]simplify: iters left: 5 (26 enodes) 1540196981.308 * * [misc]simplify: iters left: 4 (38 enodes) 1540196981.313 * * [misc]simplify: iters left: 3 (52 enodes) 1540196981.319 * * [misc]simplify: iters left: 2 (63 enodes) 1540196981.327 * * [misc]simplify: iters left: 1 (78 enodes) 1540196981.338 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.338 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196981.338 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196981.338 * * [misc]simplify: iters left: 6 (20 enodes) 1540196981.340 * * [misc]simplify: iters left: 5 (27 enodes) 1540196981.344 * * [misc]simplify: iters left: 4 (37 enodes) 1540196981.349 * * [misc]simplify: iters left: 3 (51 enodes) 1540196981.355 * * [misc]simplify: iters left: 2 (62 enodes) 1540196981.362 * * [misc]simplify: iters left: 1 (77 enodes) 1540196981.373 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.373 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt PI))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196981.373 * * * * [misc]progress: [ 1695 / 6870 ] simplifiying candidate # 1540196981.373 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196981.373 * * [misc]simplify: iters left: 6 (18 enodes) 1540196981.375 * * [misc]simplify: iters left: 5 (27 enodes) 1540196981.379 * * [misc]simplify: iters left: 4 (43 enodes) 1540196981.385 * * [misc]simplify: iters left: 3 (52 enodes) 1540196981.390 * * [misc]simplify: iters left: 2 (65 enodes) 1540196981.399 * * [misc]simplify: iters left: 1 (90 enodes) 1540196981.412 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.412 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196981.412 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196981.412 * * [misc]simplify: iters left: 6 (19 enodes) 1540196981.415 * * [misc]simplify: iters left: 5 (26 enodes) 1540196981.418 * * [misc]simplify: iters left: 4 (36 enodes) 1540196981.423 * * [misc]simplify: iters left: 3 (50 enodes) 1540196981.429 * * [misc]simplify: iters left: 2 (61 enodes) 1540196981.436 * * [misc]simplify: iters left: 1 (76 enodes) 1540196981.447 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt (sqrt k)))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196981.447 * * * * [misc]progress: [ 1696 / 6870 ] simplifiying candidate # 1540196981.447 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196981.447 * * [misc]simplify: iters left: 6 (18 enodes) 1540196981.451 * * [misc]simplify: iters left: 5 (28 enodes) 1540196981.455 * * [misc]simplify: iters left: 4 (42 enodes) 1540196981.462 * * [misc]simplify: iters left: 3 (61 enodes) 1540196981.471 * * [misc]simplify: iters left: 2 (84 enodes) 1540196981.480 * * [misc]simplify: iters left: 1 (95 enodes) 1540196981.491 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.491 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196981.492 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196981.492 * * [misc]simplify: iters left: 6 (18 enodes) 1540196981.494 * * [misc]simplify: iters left: 5 (25 enodes) 1540196981.497 * * [misc]simplify: iters left: 4 (35 enodes) 1540196981.502 * * [misc]simplify: iters left: 3 (49 enodes) 1540196981.508 * * [misc]simplify: iters left: 2 (60 enodes) 1540196981.515 * * [misc]simplify: iters left: 1 (75 enodes) 1540196981.525 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.525 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196981.526 * * * * [misc]progress: [ 1697 / 6870 ] simplifiying candidate # 1540196981.526 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 1/2))) 1540196981.526 * * [misc]simplify: iters left: 6 (18 enodes) 1540196981.530 * * [misc]simplify: iters left: 5 (28 enodes) 1540196981.534 * * [misc]simplify: iters left: 4 (42 enodes) 1540196981.540 * * [misc]simplify: iters left: 3 (61 enodes) 1540196981.549 * * [misc]simplify: iters left: 2 (84 enodes) 1540196981.558 * * [misc]simplify: iters left: 1 (95 enodes) 1540196981.569 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.569 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196981.570 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196981.570 * * [misc]simplify: iters left: 6 (18 enodes) 1540196981.572 * * [misc]simplify: iters left: 5 (25 enodes) 1540196981.575 * * [misc]simplify: iters left: 4 (35 enodes) 1540196981.580 * * [misc]simplify: iters left: 3 (49 enodes) 1540196981.586 * * [misc]simplify: iters left: 2 (60 enodes) 1540196981.593 * * [misc]simplify: iters left: 1 (75 enodes) 1540196981.605 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.605 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (/ (- k) 2)) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196981.605 * * * * [misc]progress: [ 1698 / 6870 ] simplifiying candidate # 1540196981.605 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196981.605 * * [misc]simplify: iters left: 6 (20 enodes) 1540196981.608 * * [misc]simplify: iters left: 5 (31 enodes) 1540196981.613 * * [misc]simplify: iters left: 4 (51 enodes) 1540196981.620 * * [misc]simplify: iters left: 3 (90 enodes) 1540196981.635 * * [misc]simplify: iters left: 2 (165 enodes) 1540196981.669 * * [misc]simplify: iters left: 1 (367 enodes) 1540196981.835 * [exit]simplify: Simplified to (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) 1540196981.835 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196981.835 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196981.835 * * [misc]simplify: iters left: 6 (19 enodes) 1540196981.838 * * [misc]simplify: iters left: 5 (26 enodes) 1540196981.841 * * [misc]simplify: iters left: 4 (36 enodes) 1540196981.848 * * [misc]simplify: iters left: 3 (50 enodes) 1540196981.853 * * [misc]simplify: iters left: 2 (61 enodes) 1540196981.861 * * [misc]simplify: iters left: 1 (76 enodes) 1540196981.871 * [exit]simplify: Simplified to (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.871 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))))) (/ (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196981.872 * * * * [misc]progress: [ 1699 / 6870 ] simplifiying candidate # 1540196981.873 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196981.873 * * [misc]simplify: iters left: 6 (19 enodes) 1540196981.875 * * [misc]simplify: iters left: 5 (28 enodes) 1540196981.879 * * [misc]simplify: iters left: 4 (42 enodes) 1540196981.884 * * [misc]simplify: iters left: 3 (60 enodes) 1540196981.892 * * [misc]simplify: iters left: 2 (79 enodes) 1540196981.900 * * [misc]simplify: iters left: 1 (107 enodes) 1540196981.915 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196981.916 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196981.916 * * [misc]simplify: iters left: 6 (19 enodes) 1540196981.918 * * [misc]simplify: iters left: 5 (26 enodes) 1540196981.921 * * [misc]simplify: iters left: 4 (36 enodes) 1540196981.926 * * [misc]simplify: iters left: 3 (50 enodes) 1540196981.932 * * [misc]simplify: iters left: 2 (61 enodes) 1540196981.939 * * [misc]simplify: iters left: 1 (76 enodes) 1540196981.949 * [exit]simplify: Simplified to (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.949 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196981.949 * * * * [misc]progress: [ 1700 / 6870 ] simplifiying candidate # 1540196981.950 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 1)) 1540196981.950 * * [misc]simplify: iters left: 6 (17 enodes) 1540196981.952 * * [misc]simplify: iters left: 5 (24 enodes) 1540196981.955 * * [misc]simplify: iters left: 4 (30 enodes) 1540196981.959 * * [misc]simplify: iters left: 3 (33 enodes) 1540196981.962 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.962 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196981.962 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196981.962 * * [misc]simplify: iters left: 6 (18 enodes) 1540196981.965 * * [misc]simplify: iters left: 5 (25 enodes) 1540196981.968 * * [misc]simplify: iters left: 4 (35 enodes) 1540196981.972 * * [misc]simplify: iters left: 3 (49 enodes) 1540196981.978 * * [misc]simplify: iters left: 2 (60 enodes) 1540196981.986 * * [misc]simplify: iters left: 1 (75 enodes) 1540196981.996 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196981.996 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196981.997 * * * * [misc]progress: [ 1701 / 6870 ] simplifiying candidate # 1540196981.997 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1) 1540196981.997 * * [misc]simplify: iters left: 6 (16 enodes) 1540196981.999 * * [misc]simplify: iters left: 5 (23 enodes) 1540196982.002 * * [misc]simplify: iters left: 4 (29 enodes) 1540196982.005 * * [misc]simplify: iters left: 3 (32 enodes) 1540196982.009 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196982.009 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196982.009 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196982.009 * * [misc]simplify: iters left: 6 (18 enodes) 1540196982.011 * * [misc]simplify: iters left: 5 (25 enodes) 1540196982.015 * * [misc]simplify: iters left: 4 (35 enodes) 1540196982.019 * * [misc]simplify: iters left: 3 (49 enodes) 1540196982.025 * * [misc]simplify: iters left: 2 (60 enodes) 1540196982.032 * * [misc]simplify: iters left: 1 (75 enodes) 1540196982.042 * [exit]simplify: Simplified to (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196982.042 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow 2 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196982.043 * * * * [misc]progress: [ 1702 / 6870 ] simplifiying candidate # 1540196982.043 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1540196982.043 * * [misc]simplify: iters left: 6 (15 enodes) 1540196982.045 * * [misc]simplify: iters left: 5 (20 enodes) 1540196982.048 * * [misc]simplify: iters left: 4 (26 enodes) 1540196982.051 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196982.051 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196982.051 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196982.051 * * [misc]simplify: iters left: 6 (19 enodes) 1540196982.054 * * [misc]simplify: iters left: 5 (28 enodes) 1540196982.058 * * [misc]simplify: iters left: 4 (40 enodes) 1540196982.063 * * [misc]simplify: iters left: 3 (59 enodes) 1540196982.071 * * [misc]simplify: iters left: 2 (88 enodes) 1540196982.084 * * [misc]simplify: iters left: 1 (175 enodes) 1540196982.118 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196982.118 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196982.118 * * * * [misc]progress: [ 1703 / 6870 ] simplifiying candidate # 1540196982.118 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196982.118 * * [misc]simplify: iters left: 6 (17 enodes) 1540196982.121 * * [misc]simplify: iters left: 5 (25 enodes) 1540196982.125 * * [misc]simplify: iters left: 4 (37 enodes) 1540196982.130 * * [misc]simplify: iters left: 3 (51 enodes) 1540196982.137 * * [misc]simplify: iters left: 2 (62 enodes) 1540196982.144 * * [misc]simplify: iters left: 1 (77 enodes) 1540196982.155 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196982.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540196982.156 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540196982.156 * * [misc]simplify: iters left: 6 (17 enodes) 1540196982.158 * * [misc]simplify: iters left: 5 (22 enodes) 1540196982.161 * * [misc]simplify: iters left: 4 (26 enodes) 1540196982.165 * [exit]simplify: Simplified to (/ (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) 1540196982.165 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2))) (sqrt (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))))))) 1540196982.165 * * * * [misc]progress: [ 1704 / 6870 ] simplifiying candidate # 1540196982.165 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196982.165 * * [misc]simplify: iters left: 6 (20 enodes) 1540196982.168 * * [misc]simplify: iters left: 5 (32 enodes) 1540196982.172 * * [misc]simplify: iters left: 4 (59 enodes) 1540196982.181 * * [misc]simplify: iters left: 3 (128 enodes) 1540196982.208 * * [misc]simplify: iters left: 2 (266 enodes) 1540196982.283 * * [misc]simplify: iters left: 1 (457 enodes) 1540196982.446 * [exit]simplify: Simplified to (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196982.446 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196982.446 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196982.446 * * [misc]simplify: iters left: 6 (19 enodes) 1540196982.449 * * [misc]simplify: iters left: 5 (26 enodes) 1540196982.452 * * [misc]simplify: iters left: 4 (37 enodes) 1540196982.457 * * [misc]simplify: iters left: 3 (52 enodes) 1540196982.464 * * [misc]simplify: iters left: 2 (69 enodes) 1540196982.473 * * [misc]simplify: iters left: 1 (86 enodes) 1540196982.485 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196982.485 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196982.485 * * * * [misc]progress: [ 1705 / 6870 ] simplifiying candidate # 1540196982.485 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196982.485 * * [misc]simplify: iters left: 6 (19 enodes) 1540196982.489 * * [misc]simplify: iters left: 5 (29 enodes) 1540196982.493 * * [misc]simplify: iters left: 4 (48 enodes) 1540196982.500 * * [misc]simplify: iters left: 3 (91 enodes) 1540196982.516 * * [misc]simplify: iters left: 2 (149 enodes) 1540196982.542 * * [misc]simplify: iters left: 1 (195 enodes) 1540196982.577 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196982.577 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196982.577 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196982.577 * * [misc]simplify: iters left: 6 (19 enodes) 1540196982.580 * * [misc]simplify: iters left: 5 (26 enodes) 1540196982.583 * * [misc]simplify: iters left: 4 (37 enodes) 1540196982.588 * * [misc]simplify: iters left: 3 (52 enodes) 1540196982.595 * * [misc]simplify: iters left: 2 (69 enodes) 1540196982.604 * * [misc]simplify: iters left: 1 (86 enodes) 1540196982.616 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196982.616 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196982.616 * * * * [misc]progress: [ 1706 / 6870 ] simplifiying candidate # 1540196982.616 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196982.616 * * [misc]simplify: iters left: 6 (16 enodes) 1540196982.619 * * [misc]simplify: iters left: 5 (29 enodes) 1540196982.625 * * [misc]simplify: iters left: 4 (61 enodes) 1540196982.638 * * [misc]simplify: iters left: 3 (196 enodes) 1540196982.714 * [exit]simplify: Simplified to (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196982.714 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196982.714 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196982.714 * * [misc]simplify: iters left: 6 (16 enodes) 1540196982.716 * * [misc]simplify: iters left: 5 (24 enodes) 1540196982.720 * * [misc]simplify: iters left: 4 (41 enodes) 1540196982.726 * * [misc]simplify: iters left: 3 (86 enodes) 1540196982.742 * * [misc]simplify: iters left: 2 (151 enodes) 1540196982.775 * * [misc]simplify: iters left: 1 (233 enodes) 1540196982.833 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196982.833 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196982.833 * * * * [misc]progress: [ 1707 / 6870 ] simplifiying candidate # 1540196982.833 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196982.833 * * [misc]simplify: iters left: 6 (16 enodes) 1540196982.837 * * [misc]simplify: iters left: 5 (29 enodes) 1540196982.841 * * [misc]simplify: iters left: 4 (61 enodes) 1540196982.855 * * [misc]simplify: iters left: 3 (196 enodes) 1540196982.930 * [exit]simplify: Simplified to (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196982.930 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196982.930 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196982.930 * * [misc]simplify: iters left: 6 (16 enodes) 1540196982.932 * * [misc]simplify: iters left: 5 (24 enodes) 1540196982.936 * * [misc]simplify: iters left: 4 (41 enodes) 1540196982.944 * * [misc]simplify: iters left: 3 (86 enodes) 1540196982.960 * * [misc]simplify: iters left: 2 (151 enodes) 1540196982.992 * * [misc]simplify: iters left: 1 (233 enodes) 1540196983.049 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196983.049 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196983.049 * * * * [misc]progress: [ 1708 / 6870 ] simplifiying candidate # 1540196983.049 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196983.049 * * [misc]simplify: iters left: 6 (20 enodes) 1540196983.052 * * [misc]simplify: iters left: 5 (38 enodes) 1540196983.058 * * [misc]simplify: iters left: 4 (93 enodes) 1540196983.081 * * [misc]simplify: iters left: 3 (308 enodes) 1540196983.232 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3))) 1540196983.232 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196983.232 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196983.232 * * [misc]simplify: iters left: 6 (19 enodes) 1540196983.235 * * [misc]simplify: iters left: 5 (28 enodes) 1540196983.239 * * [misc]simplify: iters left: 4 (46 enodes) 1540196983.246 * * [misc]simplify: iters left: 3 (91 enodes) 1540196983.264 * * [misc]simplify: iters left: 2 (156 enodes) 1540196983.296 * * [misc]simplify: iters left: 1 (235 enodes) 1540196983.352 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196983.352 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196983.352 * * * * [misc]progress: [ 1709 / 6870 ] simplifiying candidate # 1540196983.352 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196983.352 * * [misc]simplify: iters left: 6 (19 enodes) 1540196983.355 * * [misc]simplify: iters left: 5 (33 enodes) 1540196983.359 * * [misc]simplify: iters left: 4 (68 enodes) 1540196983.373 * * [misc]simplify: iters left: 3 (203 enodes) 1540196983.450 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196983.450 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196983.450 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196983.451 * * [misc]simplify: iters left: 6 (19 enodes) 1540196983.453 * * [misc]simplify: iters left: 5 (28 enodes) 1540196983.457 * * [misc]simplify: iters left: 4 (46 enodes) 1540196983.464 * * [misc]simplify: iters left: 3 (91 enodes) 1540196983.480 * * [misc]simplify: iters left: 2 (156 enodes) 1540196983.514 * * [misc]simplify: iters left: 1 (235 enodes) 1540196983.568 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196983.568 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196983.568 * * * * [misc]progress: [ 1710 / 6870 ] simplifiying candidate # 1540196983.568 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196983.569 * * [misc]simplify: iters left: 6 (15 enodes) 1540196983.571 * * [misc]simplify: iters left: 5 (29 enodes) 1540196983.577 * * [misc]simplify: iters left: 4 (65 enodes) 1540196983.589 * * [misc]simplify: iters left: 3 (189 enodes) 1540196983.692 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) 1540196983.692 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196983.692 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196983.692 * * [misc]simplify: iters left: 6 (18 enodes) 1540196983.695 * * [misc]simplify: iters left: 5 (27 enodes) 1540196983.699 * * [misc]simplify: iters left: 4 (45 enodes) 1540196983.708 * * [misc]simplify: iters left: 3 (90 enodes) 1540196983.723 * * [misc]simplify: iters left: 2 (155 enodes) 1540196983.756 * * [misc]simplify: iters left: 1 (238 enodes) 1540196983.813 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196983.813 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196983.813 * * * * [misc]progress: [ 1711 / 6870 ] simplifiying candidate # 1540196983.814 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196983.814 * * [misc]simplify: iters left: 6 (19 enodes) 1540196983.817 * * [misc]simplify: iters left: 5 (31 enodes) 1540196983.822 * * [misc]simplify: iters left: 4 (55 enodes) 1540196983.833 * * [misc]simplify: iters left: 3 (136 enodes) 1540196983.867 * * [misc]simplify: iters left: 2 (352 enodes) 1540196984.016 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196984.016 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196984.016 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196984.016 * * [misc]simplify: iters left: 6 (18 enodes) 1540196984.018 * * [misc]simplify: iters left: 5 (26 enodes) 1540196984.022 * * [misc]simplify: iters left: 4 (44 enodes) 1540196984.029 * * [misc]simplify: iters left: 3 (92 enodes) 1540196984.046 * * [misc]simplify: iters left: 2 (179 enodes) 1540196984.087 * * [misc]simplify: iters left: 1 (315 enodes) 1540196984.195 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196984.195 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196984.195 * * * * [misc]progress: [ 1712 / 6870 ] simplifiying candidate # 1540196984.195 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196984.195 * * [misc]simplify: iters left: 6 (19 enodes) 1540196984.199 * * [misc]simplify: iters left: 5 (31 enodes) 1540196984.203 * * [misc]simplify: iters left: 4 (55 enodes) 1540196984.213 * * [misc]simplify: iters left: 3 (136 enodes) 1540196984.247 * * [misc]simplify: iters left: 2 (352 enodes) 1540196984.396 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196984.396 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196984.396 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196984.396 * * [misc]simplify: iters left: 6 (18 enodes) 1540196984.399 * * [misc]simplify: iters left: 5 (26 enodes) 1540196984.402 * * [misc]simplify: iters left: 4 (44 enodes) 1540196984.409 * * [misc]simplify: iters left: 3 (92 enodes) 1540196984.428 * * [misc]simplify: iters left: 2 (179 enodes) 1540196984.468 * * [misc]simplify: iters left: 1 (315 enodes) 1540196984.574 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196984.574 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196984.574 * * * * [misc]progress: [ 1713 / 6870 ] simplifiying candidate # 1540196984.575 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196984.575 * * [misc]simplify: iters left: 6 (23 enodes) 1540196984.578 * * [misc]simplify: iters left: 5 (38 enodes) 1540196984.583 * * [misc]simplify: iters left: 4 (71 enodes) 1540196984.596 * * [misc]simplify: iters left: 3 (188 enodes) 1540196984.662 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196984.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196984.662 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196984.662 * * [misc]simplify: iters left: 6 (21 enodes) 1540196984.665 * * [misc]simplify: iters left: 5 (30 enodes) 1540196984.669 * * [misc]simplify: iters left: 4 (49 enodes) 1540196984.678 * * [misc]simplify: iters left: 3 (97 enodes) 1540196984.696 * * [misc]simplify: iters left: 2 (184 enodes) 1540196984.735 * * [misc]simplify: iters left: 1 (320 enodes) 1540196984.841 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196984.841 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196984.841 * * * * [misc]progress: [ 1714 / 6870 ] simplifiying candidate # 1540196984.841 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196984.841 * * [misc]simplify: iters left: 6 (22 enodes) 1540196984.844 * * [misc]simplify: iters left: 5 (35 enodes) 1540196984.849 * * [misc]simplify: iters left: 4 (62 enodes) 1540196984.860 * * [misc]simplify: iters left: 3 (143 enodes) 1540196984.895 * * [misc]simplify: iters left: 2 (359 enodes) 1540196985.044 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196985.044 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196985.045 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196985.045 * * [misc]simplify: iters left: 6 (21 enodes) 1540196985.048 * * [misc]simplify: iters left: 5 (30 enodes) 1540196985.052 * * [misc]simplify: iters left: 4 (49 enodes) 1540196985.059 * * [misc]simplify: iters left: 3 (97 enodes) 1540196985.077 * * [misc]simplify: iters left: 2 (184 enodes) 1540196985.117 * * [misc]simplify: iters left: 1 (320 enodes) 1540196985.223 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196985.224 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196985.224 * * * * [misc]progress: [ 1715 / 6870 ] simplifiying candidate # 1540196985.224 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196985.224 * * [misc]simplify: iters left: 6 (18 enodes) 1540196985.227 * * [misc]simplify: iters left: 5 (30 enodes) 1540196985.231 * * [misc]simplify: iters left: 4 (51 enodes) 1540196985.239 * * [misc]simplify: iters left: 3 (114 enodes) 1540196985.271 * * [misc]simplify: iters left: 2 (299 enodes) 1540196985.409 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196985.409 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196985.409 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196985.409 * * [misc]simplify: iters left: 6 (20 enodes) 1540196985.412 * * [misc]simplify: iters left: 5 (29 enodes) 1540196985.416 * * [misc]simplify: iters left: 4 (48 enodes) 1540196985.423 * * [misc]simplify: iters left: 3 (96 enodes) 1540196985.441 * * [misc]simplify: iters left: 2 (183 enodes) 1540196985.482 * * [misc]simplify: iters left: 1 (325 enodes) 1540196985.592 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196985.592 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196985.592 * * * * [misc]progress: [ 1716 / 6870 ] simplifiying candidate # 1540196985.592 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196985.593 * * [misc]simplify: iters left: 6 (17 enodes) 1540196985.596 * * [misc]simplify: iters left: 5 (28 enodes) 1540196985.600 * * [misc]simplify: iters left: 4 (52 enodes) 1540196985.609 * * [misc]simplify: iters left: 3 (133 enodes) 1540196985.644 * * [misc]simplify: iters left: 2 (351 enodes) 1540196985.789 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196985.789 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196985.789 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196985.789 * * [misc]simplify: iters left: 6 (17 enodes) 1540196985.792 * * [misc]simplify: iters left: 5 (25 enodes) 1540196985.795 * * [misc]simplify: iters left: 4 (43 enodes) 1540196985.802 * * [misc]simplify: iters left: 3 (91 enodes) 1540196985.818 * * [misc]simplify: iters left: 2 (178 enodes) 1540196985.860 * * [misc]simplify: iters left: 1 (319 enodes) 1540196985.967 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196985.967 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196985.968 * * * * [misc]progress: [ 1717 / 6870 ] simplifiying candidate # 1540196985.968 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196985.968 * * [misc]simplify: iters left: 6 (17 enodes) 1540196985.971 * * [misc]simplify: iters left: 5 (28 enodes) 1540196985.976 * * [misc]simplify: iters left: 4 (52 enodes) 1540196985.985 * * [misc]simplify: iters left: 3 (133 enodes) 1540196986.325 * * [misc]simplify: iters left: 2 (351 enodes) 1540196986.469 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196986.469 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196986.470 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196986.470 * * [misc]simplify: iters left: 6 (17 enodes) 1540196986.472 * * [misc]simplify: iters left: 5 (25 enodes) 1540196986.475 * * [misc]simplify: iters left: 4 (43 enodes) 1540196986.482 * * [misc]simplify: iters left: 3 (91 enodes) 1540196986.501 * * [misc]simplify: iters left: 2 (178 enodes) 1540196986.541 * * [misc]simplify: iters left: 1 (319 enodes) 1540196986.648 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196986.648 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196986.648 * * * * [misc]progress: [ 1718 / 6870 ] simplifiying candidate # 1540196986.648 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196986.649 * * [misc]simplify: iters left: 6 (21 enodes) 1540196986.652 * * [misc]simplify: iters left: 5 (35 enodes) 1540196986.657 * * [misc]simplify: iters left: 4 (68 enodes) 1540196986.669 * * [misc]simplify: iters left: 3 (185 enodes) 1540196986.734 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196986.734 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196986.734 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196986.734 * * [misc]simplify: iters left: 6 (20 enodes) 1540196986.737 * * [misc]simplify: iters left: 5 (29 enodes) 1540196986.743 * * [misc]simplify: iters left: 4 (48 enodes) 1540196986.750 * * [misc]simplify: iters left: 3 (96 enodes) 1540196986.767 * * [misc]simplify: iters left: 2 (183 enodes) 1540196986.808 * * [misc]simplify: iters left: 1 (325 enodes) 1540196986.918 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196986.918 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196986.918 * * * * [misc]progress: [ 1719 / 6870 ] simplifiying candidate # 1540196986.919 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196986.919 * * [misc]simplify: iters left: 6 (20 enodes) 1540196986.922 * * [misc]simplify: iters left: 5 (32 enodes) 1540196986.928 * * [misc]simplify: iters left: 4 (59 enodes) 1540196986.937 * * [misc]simplify: iters left: 3 (140 enodes) 1540196986.970 * * [misc]simplify: iters left: 2 (355 enodes) 1540196987.118 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196987.118 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196987.118 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196987.118 * * [misc]simplify: iters left: 6 (20 enodes) 1540196987.121 * * [misc]simplify: iters left: 5 (29 enodes) 1540196987.125 * * [misc]simplify: iters left: 4 (48 enodes) 1540196987.132 * * [misc]simplify: iters left: 3 (96 enodes) 1540196987.150 * * [misc]simplify: iters left: 2 (183 enodes) 1540196987.192 * * [misc]simplify: iters left: 1 (325 enodes) 1540196987.304 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196987.304 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196987.304 * * * * [misc]progress: [ 1720 / 6870 ] simplifiying candidate # 1540196987.305 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196987.305 * * [misc]simplify: iters left: 6 (16 enodes) 1540196987.307 * * [misc]simplify: iters left: 5 (28 enodes) 1540196987.312 * * [misc]simplify: iters left: 4 (54 enodes) 1540196987.320 * * [misc]simplify: iters left: 3 (103 enodes) 1540196987.342 * * [misc]simplify: iters left: 2 (238 enodes) 1540196987.426 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196987.426 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196987.426 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196987.426 * * [misc]simplify: iters left: 6 (19 enodes) 1540196987.429 * * [misc]simplify: iters left: 5 (28 enodes) 1540196987.433 * * [misc]simplify: iters left: 4 (47 enodes) 1540196987.440 * * [misc]simplify: iters left: 3 (95 enodes) 1540196987.457 * * [misc]simplify: iters left: 2 (182 enodes) 1540196987.499 * * [misc]simplify: iters left: 1 (322 enodes) 1540196987.608 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196987.608 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196987.608 * * * * [misc]progress: [ 1721 / 6870 ] simplifiying candidate # 1540196987.608 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196987.608 * * [misc]simplify: iters left: 6 (18 enodes) 1540196987.612 * * [misc]simplify: iters left: 5 (31 enodes) 1540196987.616 * * [misc]simplify: iters left: 4 (57 enodes) 1540196987.628 * * [misc]simplify: iters left: 3 (168 enodes) 1540196987.684 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196987.684 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196987.684 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196987.684 * * [misc]simplify: iters left: 6 (16 enodes) 1540196987.686 * * [misc]simplify: iters left: 5 (24 enodes) 1540196987.690 * * [misc]simplify: iters left: 4 (42 enodes) 1540196987.696 * * [misc]simplify: iters left: 3 (90 enodes) 1540196987.713 * * [misc]simplify: iters left: 2 (177 enodes) 1540196987.755 * * [misc]simplify: iters left: 1 (315 enodes) 1540196987.861 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196987.861 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196987.861 * * * * [misc]progress: [ 1722 / 6870 ] simplifiying candidate # 1540196987.861 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196987.862 * * [misc]simplify: iters left: 6 (18 enodes) 1540196987.865 * * [misc]simplify: iters left: 5 (31 enodes) 1540196987.870 * * [misc]simplify: iters left: 4 (57 enodes) 1540196987.881 * * [misc]simplify: iters left: 3 (168 enodes) 1540196987.937 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196987.937 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196987.937 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196987.937 * * [misc]simplify: iters left: 6 (16 enodes) 1540196987.940 * * [misc]simplify: iters left: 5 (24 enodes) 1540196987.943 * * [misc]simplify: iters left: 4 (42 enodes) 1540196987.950 * * [misc]simplify: iters left: 3 (90 enodes) 1540196987.967 * * [misc]simplify: iters left: 2 (177 enodes) 1540196988.008 * * [misc]simplify: iters left: 1 (315 enodes) 1540196988.114 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196988.114 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196988.114 * * * * [misc]progress: [ 1723 / 6870 ] simplifiying candidate # 1540196988.115 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196988.115 * * [misc]simplify: iters left: 6 (22 enodes) 1540196988.119 * * [misc]simplify: iters left: 5 (38 enodes) 1540196988.124 * * [misc]simplify: iters left: 4 (74 enodes) 1540196988.139 * * [misc]simplify: iters left: 3 (230 enodes) 1540196988.229 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) 1540196988.230 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196988.230 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196988.230 * * [misc]simplify: iters left: 6 (19 enodes) 1540196988.232 * * [misc]simplify: iters left: 5 (28 enodes) 1540196988.236 * * [misc]simplify: iters left: 4 (47 enodes) 1540196988.243 * * [misc]simplify: iters left: 3 (95 enodes) 1540196988.261 * * [misc]simplify: iters left: 2 (182 enodes) 1540196988.302 * * [misc]simplify: iters left: 1 (320 enodes) 1540196988.411 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196988.411 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196988.412 * * * * [misc]progress: [ 1724 / 6870 ] simplifiying candidate # 1540196988.412 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196988.412 * * [misc]simplify: iters left: 6 (21 enodes) 1540196988.415 * * [misc]simplify: iters left: 5 (35 enodes) 1540196988.420 * * [misc]simplify: iters left: 4 (64 enodes) 1540196988.432 * * [misc]simplify: iters left: 3 (175 enodes) 1540196988.492 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196988.492 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196988.492 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196988.492 * * [misc]simplify: iters left: 6 (19 enodes) 1540196988.495 * * [misc]simplify: iters left: 5 (28 enodes) 1540196988.499 * * [misc]simplify: iters left: 4 (47 enodes) 1540196988.506 * * [misc]simplify: iters left: 3 (95 enodes) 1540196988.524 * * [misc]simplify: iters left: 2 (182 enodes) 1540196988.565 * * [misc]simplify: iters left: 1 (320 enodes) 1540196988.675 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196988.675 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196988.675 * * * * [misc]progress: [ 1725 / 6870 ] simplifiying candidate # 1540196988.675 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196988.676 * * [misc]simplify: iters left: 6 (16 enodes) 1540196988.679 * * [misc]simplify: iters left: 5 (28 enodes) 1540196988.682 * * [misc]simplify: iters left: 4 (42 enodes) 1540196988.689 * * [misc]simplify: iters left: 3 (83 enodes) 1540196988.705 * * [misc]simplify: iters left: 2 (176 enodes) 1540196988.769 * * [misc]simplify: iters left: 1 (327 enodes) 1540196988.949 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540196988.949 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196988.949 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196988.950 * * [misc]simplify: iters left: 6 (18 enodes) 1540196988.952 * * [misc]simplify: iters left: 5 (27 enodes) 1540196988.956 * * [misc]simplify: iters left: 4 (46 enodes) 1540196988.963 * * [misc]simplify: iters left: 3 (94 enodes) 1540196988.982 * * [misc]simplify: iters left: 2 (181 enodes) 1540196989.022 * * [misc]simplify: iters left: 1 (322 enodes) 1540196989.132 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196989.132 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196989.132 * * * * [misc]progress: [ 1726 / 6870 ] simplifiying candidate # 1540196989.132 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196989.132 * * [misc]simplify: iters left: 6 (17 enodes) 1540196989.135 * * [misc]simplify: iters left: 5 (28 enodes) 1540196989.140 * * [misc]simplify: iters left: 4 (52 enodes) 1540196989.149 * * [misc]simplify: iters left: 3 (133 enodes) 1540196989.184 * * [misc]simplify: iters left: 2 (351 enodes) 1540196989.331 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196989.331 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196989.331 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196989.331 * * [misc]simplify: iters left: 6 (17 enodes) 1540196989.334 * * [misc]simplify: iters left: 5 (25 enodes) 1540196989.337 * * [misc]simplify: iters left: 4 (43 enodes) 1540196989.344 * * [misc]simplify: iters left: 3 (91 enodes) 1540196989.361 * * [misc]simplify: iters left: 2 (178 enodes) 1540196989.402 * * [misc]simplify: iters left: 1 (319 enodes) 1540196989.508 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196989.508 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196989.508 * * * * [misc]progress: [ 1727 / 6870 ] simplifiying candidate # 1540196989.508 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196989.508 * * [misc]simplify: iters left: 6 (17 enodes) 1540196989.511 * * [misc]simplify: iters left: 5 (28 enodes) 1540196989.517 * * [misc]simplify: iters left: 4 (52 enodes) 1540196989.526 * * [misc]simplify: iters left: 3 (133 enodes) 1540196989.560 * * [misc]simplify: iters left: 2 (351 enodes) 1540196989.706 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196989.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196989.706 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196989.706 * * [misc]simplify: iters left: 6 (17 enodes) 1540196989.708 * * [misc]simplify: iters left: 5 (25 enodes) 1540196989.712 * * [misc]simplify: iters left: 4 (43 enodes) 1540196989.719 * * [misc]simplify: iters left: 3 (91 enodes) 1540196989.736 * * [misc]simplify: iters left: 2 (178 enodes) 1540196989.777 * * [misc]simplify: iters left: 1 (319 enodes) 1540196989.885 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196989.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196989.885 * * * * [misc]progress: [ 1728 / 6870 ] simplifiying candidate # 1540196989.885 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196989.886 * * [misc]simplify: iters left: 6 (21 enodes) 1540196989.889 * * [misc]simplify: iters left: 5 (35 enodes) 1540196989.894 * * [misc]simplify: iters left: 4 (68 enodes) 1540196989.906 * * [misc]simplify: iters left: 3 (185 enodes) 1540196989.971 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196989.971 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196989.971 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196989.971 * * [misc]simplify: iters left: 6 (20 enodes) 1540196989.974 * * [misc]simplify: iters left: 5 (29 enodes) 1540196989.978 * * [misc]simplify: iters left: 4 (48 enodes) 1540196989.985 * * [misc]simplify: iters left: 3 (96 enodes) 1540196990.004 * * [misc]simplify: iters left: 2 (183 enodes) 1540196990.044 * * [misc]simplify: iters left: 1 (325 enodes) 1540196990.156 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196990.156 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196990.156 * * * * [misc]progress: [ 1729 / 6870 ] simplifiying candidate # 1540196990.156 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196990.156 * * [misc]simplify: iters left: 6 (20 enodes) 1540196990.159 * * [misc]simplify: iters left: 5 (32 enodes) 1540196990.164 * * [misc]simplify: iters left: 4 (59 enodes) 1540196990.173 * * [misc]simplify: iters left: 3 (140 enodes) 1540196990.209 * * [misc]simplify: iters left: 2 (355 enodes) 1540196990.355 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196990.355 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196990.356 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196990.356 * * [misc]simplify: iters left: 6 (20 enodes) 1540196990.359 * * [misc]simplify: iters left: 5 (29 enodes) 1540196990.362 * * [misc]simplify: iters left: 4 (48 enodes) 1540196990.371 * * [misc]simplify: iters left: 3 (96 enodes) 1540196990.389 * * [misc]simplify: iters left: 2 (183 enodes) 1540196990.430 * * [misc]simplify: iters left: 1 (325 enodes) 1540196990.541 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196990.541 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196990.541 * * * * [misc]progress: [ 1730 / 6870 ] simplifiying candidate # 1540196990.541 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196990.541 * * [misc]simplify: iters left: 6 (16 enodes) 1540196990.543 * * [misc]simplify: iters left: 5 (28 enodes) 1540196990.549 * * [misc]simplify: iters left: 4 (54 enodes) 1540196990.558 * * [misc]simplify: iters left: 3 (103 enodes) 1540196990.580 * * [misc]simplify: iters left: 2 (238 enodes) 1540196990.662 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196990.662 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196990.662 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196990.663 * * [misc]simplify: iters left: 6 (19 enodes) 1540196990.665 * * [misc]simplify: iters left: 5 (28 enodes) 1540196990.669 * * [misc]simplify: iters left: 4 (47 enodes) 1540196990.678 * * [misc]simplify: iters left: 3 (95 enodes) 1540196990.695 * * [misc]simplify: iters left: 2 (182 enodes) 1540196990.735 * * [misc]simplify: iters left: 1 (322 enodes) 1540196990.843 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196990.843 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196990.843 * * * * [misc]progress: [ 1731 / 6870 ] simplifiying candidate # 1540196990.843 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196990.843 * * [misc]simplify: iters left: 6 (17 enodes) 1540196990.847 * * [misc]simplify: iters left: 5 (30 enodes) 1540196990.851 * * [misc]simplify: iters left: 4 (52 enodes) 1540196990.863 * * [misc]simplify: iters left: 3 (134 enodes) 1540196990.895 * * [misc]simplify: iters left: 2 (407 enodes) 1540196991.140 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196991.141 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196991.141 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196991.141 * * [misc]simplify: iters left: 6 (16 enodes) 1540196991.143 * * [misc]simplify: iters left: 5 (24 enodes) 1540196991.147 * * [misc]simplify: iters left: 4 (42 enodes) 1540196991.153 * * [misc]simplify: iters left: 3 (90 enodes) 1540196991.172 * * [misc]simplify: iters left: 2 (177 enodes) 1540196991.212 * * [misc]simplify: iters left: 1 (315 enodes) 1540196991.317 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196991.317 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196991.318 * * * * [misc]progress: [ 1732 / 6870 ] simplifiying candidate # 1540196991.318 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540196991.318 * * [misc]simplify: iters left: 6 (17 enodes) 1540196991.321 * * [misc]simplify: iters left: 5 (30 enodes) 1540196991.326 * * [misc]simplify: iters left: 4 (52 enodes) 1540196991.336 * * [misc]simplify: iters left: 3 (134 enodes) 1540196991.370 * * [misc]simplify: iters left: 2 (407 enodes) 1540196991.616 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196991.616 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196991.616 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196991.616 * * [misc]simplify: iters left: 6 (16 enodes) 1540196991.618 * * [misc]simplify: iters left: 5 (24 enodes) 1540196991.622 * * [misc]simplify: iters left: 4 (42 enodes) 1540196991.628 * * [misc]simplify: iters left: 3 (90 enodes) 1540196991.648 * * [misc]simplify: iters left: 2 (177 enodes) 1540196991.687 * * [misc]simplify: iters left: 1 (315 enodes) 1540196991.793 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196991.793 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196991.793 * * * * [misc]progress: [ 1733 / 6870 ] simplifiying candidate # 1540196991.793 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196991.794 * * [misc]simplify: iters left: 6 (21 enodes) 1540196991.797 * * [misc]simplify: iters left: 5 (37 enodes) 1540196991.802 * * [misc]simplify: iters left: 4 (68 enodes) 1540196991.815 * * [misc]simplify: iters left: 3 (192 enodes) 1540196991.882 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196991.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196991.882 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196991.882 * * [misc]simplify: iters left: 6 (19 enodes) 1540196991.885 * * [misc]simplify: iters left: 5 (28 enodes) 1540196991.889 * * [misc]simplify: iters left: 4 (47 enodes) 1540196991.898 * * [misc]simplify: iters left: 3 (95 enodes) 1540196991.915 * * [misc]simplify: iters left: 2 (182 enodes) 1540196991.956 * * [misc]simplify: iters left: 1 (320 enodes) 1540196992.065 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196992.065 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196992.065 * * * * [misc]progress: [ 1734 / 6870 ] simplifiying candidate # 1540196992.065 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196992.065 * * [misc]simplify: iters left: 6 (20 enodes) 1540196992.068 * * [misc]simplify: iters left: 5 (34 enodes) 1540196992.073 * * [misc]simplify: iters left: 4 (59 enodes) 1540196992.085 * * [misc]simplify: iters left: 3 (141 enodes) 1540196992.118 * * [misc]simplify: iters left: 2 (417 enodes) 1540196992.358 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) 1540196992.358 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196992.358 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196992.359 * * [misc]simplify: iters left: 6 (19 enodes) 1540196992.361 * * [misc]simplify: iters left: 5 (28 enodes) 1540196992.365 * * [misc]simplify: iters left: 4 (47 enodes) 1540196992.372 * * [misc]simplify: iters left: 3 (95 enodes) 1540196992.392 * * [misc]simplify: iters left: 2 (182 enodes) 1540196992.431 * * [misc]simplify: iters left: 1 (320 enodes) 1540196992.541 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196992.541 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196992.542 * * * * [misc]progress: [ 1735 / 6870 ] simplifiying candidate # 1540196992.542 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540196992.542 * * [misc]simplify: iters left: 6 (15 enodes) 1540196992.544 * * [misc]simplify: iters left: 5 (25 enodes) 1540196992.547 * * [misc]simplify: iters left: 4 (39 enodes) 1540196992.554 * * [misc]simplify: iters left: 3 (75 enodes) 1540196992.566 * * [misc]simplify: iters left: 2 (152 enodes) 1540196992.600 * * [misc]simplify: iters left: 1 (207 enodes) 1540196992.626 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540196992.626 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196992.626 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196992.626 * * [misc]simplify: iters left: 6 (18 enodes) 1540196992.629 * * [misc]simplify: iters left: 5 (27 enodes) 1540196992.633 * * [misc]simplify: iters left: 4 (46 enodes) 1540196992.640 * * [misc]simplify: iters left: 3 (94 enodes) 1540196992.658 * * [misc]simplify: iters left: 2 (181 enodes) 1540196992.699 * * [misc]simplify: iters left: 1 (322 enodes) 1540196992.807 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196992.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196992.807 * * * * [misc]progress: [ 1736 / 6870 ] simplifiying candidate # 1540196992.808 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1) 1540196992.808 * * [misc]simplify: iters left: 6 (14 enodes) 1540196992.810 * * [misc]simplify: iters left: 5 (24 enodes) 1540196992.813 * * [misc]simplify: iters left: 4 (41 enodes) 1540196992.821 * * [misc]simplify: iters left: 3 (87 enodes) 1540196992.836 * * [misc]simplify: iters left: 2 (174 enodes) 1540196992.881 * * [misc]simplify: iters left: 1 (237 enodes) 1540196992.914 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540196992.914 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196992.915 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540196992.915 * * [misc]simplify: iters left: 6 (18 enodes) 1540196992.917 * * [misc]simplify: iters left: 5 (27 enodes) 1540196992.921 * * [misc]simplify: iters left: 4 (46 enodes) 1540196992.928 * * [misc]simplify: iters left: 3 (94 enodes) 1540196992.945 * * [misc]simplify: iters left: 2 (181 enodes) 1540196992.986 * * [misc]simplify: iters left: 1 (322 enodes) 1540196993.096 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540196993.096 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540196993.096 * * * * [misc]progress: [ 1737 / 6870 ] simplifiying candidate # 1540196993.097 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540196993.097 * * [misc]simplify: iters left: 6 (13 enodes) 1540196993.099 * * [misc]simplify: iters left: 5 (21 enodes) 1540196993.101 * * [misc]simplify: iters left: 4 (37 enodes) 1540196993.107 * * [misc]simplify: iters left: 3 (80 enodes) 1540196993.121 * * [misc]simplify: iters left: 2 (138 enodes) 1540196993.148 * * [misc]simplify: iters left: 1 (186 enodes) 1540196993.181 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196993.181 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540196993.181 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540196993.181 * * [misc]simplify: iters left: 6 (19 enodes) 1540196993.184 * * [misc]simplify: iters left: 5 (30 enodes) 1540196993.188 * * [misc]simplify: iters left: 4 (47 enodes) 1540196993.196 * * [misc]simplify: iters left: 3 (99 enodes) 1540196993.214 * * [misc]simplify: iters left: 2 (206 enodes) 1540196993.277 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540196993.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))))) 1540196993.277 * * * * [misc]progress: [ 1738 / 6870 ] simplifiying candidate # 1540196993.277 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540196993.277 * * [misc]simplify: iters left: 6 (16 enodes) 1540196993.280 * * [misc]simplify: iters left: 5 (27 enodes) 1540196993.284 * * [misc]simplify: iters left: 4 (51 enodes) 1540196993.294 * * [misc]simplify: iters left: 3 (132 enodes) 1540196993.328 * * [misc]simplify: iters left: 2 (349 enodes) 1540196993.476 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540196993.476 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540196993.477 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540196993.477 * * [misc]simplify: iters left: 6 (15 enodes) 1540196993.479 * * [misc]simplify: iters left: 5 (21 enodes) 1540196993.482 * * [misc]simplify: iters left: 4 (31 enodes) 1540196993.486 * * [misc]simplify: iters left: 3 (46 enodes) 1540196993.492 * * [misc]simplify: iters left: 2 (63 enodes) 1540196993.501 * * [misc]simplify: iters left: 1 (80 enodes) 1540196993.514 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540196993.514 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540196993.514 * * * * [misc]progress: [ 1739 / 6870 ] simplifiying candidate # 1540196993.514 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196993.514 * * [misc]simplify: iters left: 6 (20 enodes) 1540196993.517 * * [misc]simplify: iters left: 5 (32 enodes) 1540196993.522 * * [misc]simplify: iters left: 4 (59 enodes) 1540196993.531 * * [misc]simplify: iters left: 3 (128 enodes) 1540196993.557 * * [misc]simplify: iters left: 2 (266 enodes) 1540196993.634 * * [misc]simplify: iters left: 1 (457 enodes) 1540196993.796 * [exit]simplify: Simplified to (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540196993.796 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196993.796 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196993.796 * * [misc]simplify: iters left: 6 (19 enodes) 1540196993.799 * * [misc]simplify: iters left: 5 (26 enodes) 1540196993.802 * * [misc]simplify: iters left: 4 (37 enodes) 1540196993.807 * * [misc]simplify: iters left: 3 (52 enodes) 1540196993.815 * * [misc]simplify: iters left: 2 (69 enodes) 1540196993.824 * * [misc]simplify: iters left: 1 (86 enodes) 1540196993.836 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196993.836 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196993.836 * * * * [misc]progress: [ 1740 / 6870 ] simplifiying candidate # 1540196993.836 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196993.836 * * [misc]simplify: iters left: 6 (19 enodes) 1540196993.839 * * [misc]simplify: iters left: 5 (29 enodes) 1540196993.843 * * [misc]simplify: iters left: 4 (48 enodes) 1540196993.850 * * [misc]simplify: iters left: 3 (91 enodes) 1540196993.865 * * [misc]simplify: iters left: 2 (149 enodes) 1540196993.893 * * [misc]simplify: iters left: 1 (195 enodes) 1540196993.927 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196993.927 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196993.927 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196993.927 * * [misc]simplify: iters left: 6 (19 enodes) 1540196993.930 * * [misc]simplify: iters left: 5 (26 enodes) 1540196993.933 * * [misc]simplify: iters left: 4 (37 enodes) 1540196993.938 * * [misc]simplify: iters left: 3 (52 enodes) 1540196993.945 * * [misc]simplify: iters left: 2 (69 enodes) 1540196993.954 * * [misc]simplify: iters left: 1 (86 enodes) 1540196993.966 * [exit]simplify: Simplified to (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540196993.966 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (pow n (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540196993.966 * * * * [misc]progress: [ 1741 / 6870 ] simplifiying candidate # 1540196993.966 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196993.967 * * [misc]simplify: iters left: 6 (16 enodes) 1540196993.970 * * [misc]simplify: iters left: 5 (29 enodes) 1540196993.974 * * [misc]simplify: iters left: 4 (61 enodes) 1540196993.988 * * [misc]simplify: iters left: 3 (196 enodes) 1540196994.062 * [exit]simplify: Simplified to (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196994.062 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196994.063 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196994.063 * * [misc]simplify: iters left: 6 (16 enodes) 1540196994.065 * * [misc]simplify: iters left: 5 (24 enodes) 1540196994.068 * * [misc]simplify: iters left: 4 (41 enodes) 1540196994.075 * * [misc]simplify: iters left: 3 (86 enodes) 1540196994.092 * * [misc]simplify: iters left: 2 (151 enodes) 1540196994.124 * * [misc]simplify: iters left: 1 (233 enodes) 1540196994.182 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196994.182 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196994.182 * * * * [misc]progress: [ 1742 / 6870 ] simplifiying candidate # 1540196994.182 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540196994.182 * * [misc]simplify: iters left: 6 (16 enodes) 1540196994.185 * * [misc]simplify: iters left: 5 (29 enodes) 1540196994.190 * * [misc]simplify: iters left: 4 (61 enodes) 1540196994.203 * * [misc]simplify: iters left: 3 (196 enodes) 1540196994.279 * [exit]simplify: Simplified to (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196994.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196994.280 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196994.280 * * [misc]simplify: iters left: 6 (16 enodes) 1540196994.282 * * [misc]simplify: iters left: 5 (24 enodes) 1540196994.285 * * [misc]simplify: iters left: 4 (41 enodes) 1540196994.292 * * [misc]simplify: iters left: 3 (86 enodes) 1540196994.308 * * [misc]simplify: iters left: 2 (151 enodes) 1540196994.342 * * [misc]simplify: iters left: 1 (233 enodes) 1540196994.399 * [exit]simplify: Simplified to (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))) 1540196994.399 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt 2) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (pow n (/ (- k) 2)) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (pow PI (/ (- k) 2))))))) 1540196994.399 * * * * [misc]progress: [ 1743 / 6870 ] simplifiying candidate # 1540196994.399 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196994.399 * * [misc]simplify: iters left: 6 (20 enodes) 1540196994.402 * * [misc]simplify: iters left: 5 (38 enodes) 1540196994.408 * * [misc]simplify: iters left: 4 (93 enodes) 1540196994.429 * * [misc]simplify: iters left: 3 (308 enodes) 1540196994.583 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3))) 1540196994.583 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196994.583 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196994.584 * * [misc]simplify: iters left: 6 (19 enodes) 1540196994.586 * * [misc]simplify: iters left: 5 (28 enodes) 1540196994.590 * * [misc]simplify: iters left: 4 (46 enodes) 1540196994.597 * * [misc]simplify: iters left: 3 (91 enodes) 1540196994.613 * * [misc]simplify: iters left: 2 (156 enodes) 1540196994.646 * * [misc]simplify: iters left: 1 (235 enodes) 1540196994.701 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196994.701 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196994.701 * * * * [misc]progress: [ 1744 / 6870 ] simplifiying candidate # 1540196994.701 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196994.701 * * [misc]simplify: iters left: 6 (19 enodes) 1540196994.704 * * [misc]simplify: iters left: 5 (33 enodes) 1540196994.709 * * [misc]simplify: iters left: 4 (68 enodes) 1540196994.723 * * [misc]simplify: iters left: 3 (203 enodes) 1540196994.800 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196994.800 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196994.800 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196994.800 * * [misc]simplify: iters left: 6 (19 enodes) 1540196994.803 * * [misc]simplify: iters left: 5 (28 enodes) 1540196994.807 * * [misc]simplify: iters left: 4 (46 enodes) 1540196994.814 * * [misc]simplify: iters left: 3 (91 enodes) 1540196994.830 * * [misc]simplify: iters left: 2 (156 enodes) 1540196994.864 * * [misc]simplify: iters left: 1 (235 enodes) 1540196994.919 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196994.919 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196994.919 * * * * [misc]progress: [ 1745 / 6870 ] simplifiying candidate # 1540196994.920 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540196994.920 * * [misc]simplify: iters left: 6 (15 enodes) 1540196994.922 * * [misc]simplify: iters left: 5 (29 enodes) 1540196994.927 * * [misc]simplify: iters left: 4 (65 enodes) 1540196994.940 * * [misc]simplify: iters left: 3 (189 enodes) 1540196995.044 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) 1540196995.044 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196995.044 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196995.045 * * [misc]simplify: iters left: 6 (18 enodes) 1540196995.047 * * [misc]simplify: iters left: 5 (27 enodes) 1540196995.051 * * [misc]simplify: iters left: 4 (45 enodes) 1540196995.057 * * [misc]simplify: iters left: 3 (90 enodes) 1540196995.073 * * [misc]simplify: iters left: 2 (155 enodes) 1540196995.107 * * [misc]simplify: iters left: 1 (238 enodes) 1540196995.166 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196995.166 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (pow (cbrt (sqrt (sqrt k))) 3)) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (cbrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196995.166 * * * * [misc]progress: [ 1746 / 6870 ] simplifiying candidate # 1540196995.166 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196995.166 * * [misc]simplify: iters left: 6 (19 enodes) 1540196995.170 * * [misc]simplify: iters left: 5 (31 enodes) 1540196995.175 * * [misc]simplify: iters left: 4 (55 enodes) 1540196995.185 * * [misc]simplify: iters left: 3 (136 enodes) 1540196995.219 * * [misc]simplify: iters left: 2 (352 enodes) 1540196995.368 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196995.368 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196995.368 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196995.368 * * [misc]simplify: iters left: 6 (18 enodes) 1540196995.371 * * [misc]simplify: iters left: 5 (26 enodes) 1540196995.374 * * [misc]simplify: iters left: 4 (44 enodes) 1540196995.381 * * [misc]simplify: iters left: 3 (92 enodes) 1540196995.400 * * [misc]simplify: iters left: 2 (179 enodes) 1540196995.439 * * [misc]simplify: iters left: 1 (315 enodes) 1540196995.546 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196995.546 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196995.546 * * * * [misc]progress: [ 1747 / 6870 ] simplifiying candidate # 1540196995.547 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540196995.547 * * [misc]simplify: iters left: 6 (19 enodes) 1540196995.550 * * [misc]simplify: iters left: 5 (31 enodes) 1540196995.555 * * [misc]simplify: iters left: 4 (55 enodes) 1540196995.565 * * [misc]simplify: iters left: 3 (136 enodes) 1540196995.600 * * [misc]simplify: iters left: 2 (352 enodes) 1540196995.747 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196995.747 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196995.748 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196995.748 * * [misc]simplify: iters left: 6 (18 enodes) 1540196995.750 * * [misc]simplify: iters left: 5 (26 enodes) 1540196995.754 * * [misc]simplify: iters left: 4 (44 enodes) 1540196995.762 * * [misc]simplify: iters left: 3 (92 enodes) 1540196995.780 * * [misc]simplify: iters left: 2 (179 enodes) 1540196995.820 * * [misc]simplify: iters left: 1 (315 enodes) 1540196995.926 * [exit]simplify: Simplified to (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))) 1540196995.926 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (* (pow n (/ (- k) 2)) (pow 2 (/ (- k) 2))) (* (sqrt (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (pow PI (/ (- k) 2))))) 1540196995.926 * * * * [misc]progress: [ 1748 / 6870 ] simplifiying candidate # 1540196995.926 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196995.926 * * [misc]simplify: iters left: 6 (23 enodes) 1540196995.930 * * [misc]simplify: iters left: 5 (38 enodes) 1540196995.935 * * [misc]simplify: iters left: 4 (71 enodes) 1540196995.949 * * [misc]simplify: iters left: 3 (188 enodes) 1540196996.015 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196996.015 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196996.015 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196996.015 * * [misc]simplify: iters left: 6 (21 enodes) 1540196996.018 * * [misc]simplify: iters left: 5 (30 enodes) 1540196996.022 * * [misc]simplify: iters left: 4 (49 enodes) 1540196996.029 * * [misc]simplify: iters left: 3 (97 enodes) 1540196996.047 * * [misc]simplify: iters left: 2 (184 enodes) 1540196996.089 * * [misc]simplify: iters left: 1 (320 enodes) 1540196996.194 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196996.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196996.195 * * * * [misc]progress: [ 1749 / 6870 ] simplifiying candidate # 1540196996.195 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196996.195 * * [misc]simplify: iters left: 6 (22 enodes) 1540196996.198 * * [misc]simplify: iters left: 5 (35 enodes) 1540196996.203 * * [misc]simplify: iters left: 4 (62 enodes) 1540196996.214 * * [misc]simplify: iters left: 3 (143 enodes) 1540196996.248 * * [misc]simplify: iters left: 2 (359 enodes) 1540196996.397 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) 1540196996.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196996.397 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196996.397 * * [misc]simplify: iters left: 6 (21 enodes) 1540196996.400 * * [misc]simplify: iters left: 5 (30 enodes) 1540196996.404 * * [misc]simplify: iters left: 4 (49 enodes) 1540196996.412 * * [misc]simplify: iters left: 3 (97 enodes) 1540196996.430 * * [misc]simplify: iters left: 2 (184 enodes) 1540196996.472 * * [misc]simplify: iters left: 1 (320 enodes) 1540196996.578 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196996.578 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196996.578 * * * * [misc]progress: [ 1750 / 6870 ] simplifiying candidate # 1540196996.579 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540196996.579 * * [misc]simplify: iters left: 6 (18 enodes) 1540196996.581 * * [misc]simplify: iters left: 5 (30 enodes) 1540196996.586 * * [misc]simplify: iters left: 4 (51 enodes) 1540196996.594 * * [misc]simplify: iters left: 3 (114 enodes) 1540196996.628 * * [misc]simplify: iters left: 2 (299 enodes) 1540196996.765 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196996.765 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196996.765 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196996.765 * * [misc]simplify: iters left: 6 (20 enodes) 1540196996.768 * * [misc]simplify: iters left: 5 (29 enodes) 1540196996.772 * * [misc]simplify: iters left: 4 (48 enodes) 1540196996.779 * * [misc]simplify: iters left: 3 (96 enodes) 1540196996.797 * * [misc]simplify: iters left: 2 (183 enodes) 1540196996.838 * * [misc]simplify: iters left: 1 (325 enodes) 1540196996.950 * [exit]simplify: Simplified to (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))) 1540196996.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (fabs (cbrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (pow n (/ (- k) 2))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k))))))) 1540196996.950 * * * * [misc]progress: [ 1751 / 6870 ] simplifiying candidate # 1540196996.950 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196996.950 * * [misc]simplify: iters left: 6 (17 enodes) 1540196996.953 * * [misc]simplify: iters left: 5 (28 enodes) 1540196996.958 * * [misc]simplify: iters left: 4 (52 enodes) 1540196996.967 * * [misc]simplify: iters left: 3 (133 enodes) 1540196997.003 * * [misc]simplify: iters left: 2 (351 enodes) 1540196997.148 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196997.148 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196997.148 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196997.148 * * [misc]simplify: iters left: 6 (17 enodes) 1540196997.150 * * [misc]simplify: iters left: 5 (25 enodes) 1540196997.154 * * [misc]simplify: iters left: 4 (43 enodes) 1540196997.161 * * [misc]simplify: iters left: 3 (91 enodes) 1540196997.180 * * [misc]simplify: iters left: 2 (178 enodes) 1540196997.220 * * [misc]simplify: iters left: 1 (319 enodes) 1540196997.328 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196997.328 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196997.328 * * * * [misc]progress: [ 1752 / 6870 ] simplifiying candidate # 1540196997.328 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540196997.328 * * [misc]simplify: iters left: 6 (17 enodes) 1540196997.332 * * [misc]simplify: iters left: 5 (28 enodes) 1540196997.336 * * [misc]simplify: iters left: 4 (52 enodes) 1540196997.346 * * [misc]simplify: iters left: 3 (133 enodes) 1540196997.382 * * [misc]simplify: iters left: 2 (351 enodes) 1540196997.530 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196997.530 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540196997.530 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540196997.530 * * [misc]simplify: iters left: 6 (17 enodes) 1540196997.533 * * [misc]simplify: iters left: 5 (25 enodes) 1540196997.536 * * [misc]simplify: iters left: 4 (43 enodes) 1540196997.543 * * [misc]simplify: iters left: 3 (91 enodes) 1540196997.560 * * [misc]simplify: iters left: 2 (178 enodes) 1540196997.601 * * [misc]simplify: iters left: 1 (319 enodes) 1540196997.707 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540196997.707 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540196997.707 * * * * [misc]progress: [ 1753 / 6870 ] simplifiying candidate # 1540196997.707 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196997.708 * * [misc]simplify: iters left: 6 (21 enodes) 1540196997.711 * * [misc]simplify: iters left: 5 (35 enodes) 1540196997.717 * * [misc]simplify: iters left: 4 (68 enodes) 1540196997.730 * * [misc]simplify: iters left: 3 (185 enodes) 1540196997.794 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196997.794 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196997.794 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196997.794 * * [misc]simplify: iters left: 6 (20 enodes) 1540196997.797 * * [misc]simplify: iters left: 5 (29 enodes) 1540196997.801 * * [misc]simplify: iters left: 4 (48 enodes) 1540196997.808 * * [misc]simplify: iters left: 3 (96 enodes) 1540196997.826 * * [misc]simplify: iters left: 2 (183 enodes) 1540196997.868 * * [misc]simplify: iters left: 1 (325 enodes) 1540196997.980 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196997.980 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196997.980 * * * * [misc]progress: [ 1754 / 6870 ] simplifiying candidate # 1540196997.981 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196997.981 * * [misc]simplify: iters left: 6 (20 enodes) 1540196997.984 * * [misc]simplify: iters left: 5 (32 enodes) 1540196997.988 * * [misc]simplify: iters left: 4 (59 enodes) 1540196997.998 * * [misc]simplify: iters left: 3 (140 enodes) 1540196998.034 * * [misc]simplify: iters left: 2 (355 enodes) 1540196998.180 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540196998.180 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196998.180 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196998.180 * * [misc]simplify: iters left: 6 (20 enodes) 1540196998.183 * * [misc]simplify: iters left: 5 (29 enodes) 1540196998.187 * * [misc]simplify: iters left: 4 (48 enodes) 1540196998.194 * * [misc]simplify: iters left: 3 (96 enodes) 1540196998.213 * * [misc]simplify: iters left: 2 (183 enodes) 1540196998.253 * * [misc]simplify: iters left: 1 (325 enodes) 1540196998.365 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540196998.365 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540196998.365 * * * * [misc]progress: [ 1755 / 6870 ] simplifiying candidate # 1540196998.366 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540196998.366 * * [misc]simplify: iters left: 6 (16 enodes) 1540196998.368 * * [misc]simplify: iters left: 5 (28 enodes) 1540196998.373 * * [misc]simplify: iters left: 4 (54 enodes) 1540196998.382 * * [misc]simplify: iters left: 3 (103 enodes) 1540196998.404 * * [misc]simplify: iters left: 2 (238 enodes) 1540196998.487 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196998.487 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540196998.488 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540196998.488 * * [misc]simplify: iters left: 6 (19 enodes) 1540196998.490 * * [misc]simplify: iters left: 5 (28 enodes) 1540196998.494 * * [misc]simplify: iters left: 4 (47 enodes) 1540196998.501 * * [misc]simplify: iters left: 3 (95 enodes) 1540196998.520 * * [misc]simplify: iters left: 2 (182 enodes) 1540196998.560 * * [misc]simplify: iters left: 1 (322 enodes) 1540196998.668 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540196998.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540196998.668 * * * * [misc]progress: [ 1756 / 6870 ] simplifiying candidate # 1540196998.669 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196998.669 * * [misc]simplify: iters left: 6 (18 enodes) 1540196998.672 * * [misc]simplify: iters left: 5 (31 enodes) 1540196998.677 * * [misc]simplify: iters left: 4 (57 enodes) 1540196998.689 * * [misc]simplify: iters left: 3 (168 enodes) 1540196998.744 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196998.745 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196998.745 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196998.745 * * [misc]simplify: iters left: 6 (16 enodes) 1540196998.747 * * [misc]simplify: iters left: 5 (24 enodes) 1540196998.750 * * [misc]simplify: iters left: 4 (42 enodes) 1540196998.757 * * [misc]simplify: iters left: 3 (90 enodes) 1540196998.776 * * [misc]simplify: iters left: 2 (177 enodes) 1540196998.815 * * [misc]simplify: iters left: 1 (315 enodes) 1540196998.922 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196998.922 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196998.922 * * * * [misc]progress: [ 1757 / 6870 ] simplifiying candidate # 1540196998.922 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (pow 2 1/2))) 1540196998.922 * * [misc]simplify: iters left: 6 (18 enodes) 1540196998.926 * * [misc]simplify: iters left: 5 (31 enodes) 1540196998.930 * * [misc]simplify: iters left: 4 (57 enodes) 1540196998.942 * * [misc]simplify: iters left: 3 (168 enodes) 1540196998.997 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540196998.997 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540196998.997 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540196998.997 * * [misc]simplify: iters left: 6 (16 enodes) 1540196999.000 * * [misc]simplify: iters left: 5 (24 enodes) 1540196999.003 * * [misc]simplify: iters left: 4 (42 enodes) 1540196999.009 * * [misc]simplify: iters left: 3 (90 enodes) 1540196999.029 * * [misc]simplify: iters left: 2 (177 enodes) 1540196999.068 * * [misc]simplify: iters left: 1 (315 enodes) 1540196999.173 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540196999.173 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540196999.173 * * * * [misc]progress: [ 1758 / 6870 ] simplifiying candidate # 1540196999.173 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540196999.173 * * [misc]simplify: iters left: 6 (22 enodes) 1540196999.177 * * [misc]simplify: iters left: 5 (38 enodes) 1540196999.182 * * [misc]simplify: iters left: 4 (74 enodes) 1540196999.199 * * [misc]simplify: iters left: 3 (230 enodes) 1540196999.288 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) 1540196999.288 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196999.288 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196999.288 * * [misc]simplify: iters left: 6 (19 enodes) 1540196999.291 * * [misc]simplify: iters left: 5 (28 enodes) 1540196999.295 * * [misc]simplify: iters left: 4 (47 enodes) 1540196999.302 * * [misc]simplify: iters left: 3 (95 enodes) 1540196999.319 * * [misc]simplify: iters left: 2 (182 enodes) 1540196999.360 * * [misc]simplify: iters left: 1 (320 enodes) 1540196999.469 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540196999.469 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196999.470 * * * * [misc]progress: [ 1759 / 6870 ] simplifiying candidate # 1540196999.470 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196999.470 * * [misc]simplify: iters left: 6 (21 enodes) 1540196999.473 * * [misc]simplify: iters left: 5 (35 enodes) 1540196999.478 * * [misc]simplify: iters left: 4 (64 enodes) 1540196999.490 * * [misc]simplify: iters left: 3 (175 enodes) 1540196999.550 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540196999.550 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196999.550 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196999.550 * * [misc]simplify: iters left: 6 (19 enodes) 1540196999.553 * * [misc]simplify: iters left: 5 (28 enodes) 1540196999.557 * * [misc]simplify: iters left: 4 (47 enodes) 1540196999.564 * * [misc]simplify: iters left: 3 (95 enodes) 1540196999.583 * * [misc]simplify: iters left: 2 (182 enodes) 1540196999.623 * * [misc]simplify: iters left: 1 (320 enodes) 1540196999.733 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540196999.733 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (sqrt n)) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540196999.733 * * * * [misc]progress: [ 1760 / 6870 ] simplifiying candidate # 1540196999.733 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt 1) 1)) 1540196999.733 * * [misc]simplify: iters left: 6 (16 enodes) 1540196999.736 * * [misc]simplify: iters left: 5 (28 enodes) 1540196999.740 * * [misc]simplify: iters left: 4 (42 enodes) 1540196999.747 * * [misc]simplify: iters left: 3 (83 enodes) 1540196999.764 * * [misc]simplify: iters left: 2 (176 enodes) 1540196999.827 * * [misc]simplify: iters left: 1 (327 enodes) 1540197000.007 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540197000.007 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540197000.007 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540197000.007 * * [misc]simplify: iters left: 6 (18 enodes) 1540197000.009 * * [misc]simplify: iters left: 5 (27 enodes) 1540197000.013 * * [misc]simplify: iters left: 4 (46 enodes) 1540197000.020 * * [misc]simplify: iters left: 3 (94 enodes) 1540197000.037 * * [misc]simplify: iters left: 2 (181 enodes) 1540197000.078 * * [misc]simplify: iters left: 1 (322 enodes) 1540197000.187 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540197000.187 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540197000.187 * * * * [misc]progress: [ 1761 / 6870 ] simplifiying candidate # 1540197000.187 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540197000.188 * * [misc]simplify: iters left: 6 (17 enodes) 1540197000.191 * * [misc]simplify: iters left: 5 (28 enodes) 1540197000.195 * * [misc]simplify: iters left: 4 (52 enodes) 1540197000.205 * * [misc]simplify: iters left: 3 (133 enodes) 1540197000.238 * * [misc]simplify: iters left: 2 (351 enodes) 1540197000.383 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540197000.383 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197000.383 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197000.384 * * [misc]simplify: iters left: 6 (17 enodes) 1540197000.386 * * [misc]simplify: iters left: 5 (25 enodes) 1540197000.389 * * [misc]simplify: iters left: 4 (43 enodes) 1540197000.396 * * [misc]simplify: iters left: 3 (91 enodes) 1540197000.413 * * [misc]simplify: iters left: 2 (178 enodes) 1540197000.454 * * [misc]simplify: iters left: 1 (319 enodes) 1540197000.561 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540197000.561 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540197000.561 * * * * [misc]progress: [ 1762 / 6870 ] simplifiying candidate # 1540197000.561 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540197000.561 * * [misc]simplify: iters left: 6 (17 enodes) 1540197000.564 * * [misc]simplify: iters left: 5 (28 enodes) 1540197000.569 * * [misc]simplify: iters left: 4 (52 enodes) 1540197000.578 * * [misc]simplify: iters left: 3 (133 enodes) 1540197000.614 * * [misc]simplify: iters left: 2 (351 enodes) 1540197000.757 * [exit]simplify: Simplified to (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540197000.757 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197000.758 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197000.758 * * [misc]simplify: iters left: 6 (17 enodes) 1540197000.760 * * [misc]simplify: iters left: 5 (25 enodes) 1540197000.764 * * [misc]simplify: iters left: 4 (43 enodes) 1540197000.770 * * [misc]simplify: iters left: 3 (91 enodes) 1540197000.789 * * [misc]simplify: iters left: 2 (178 enodes) 1540197000.828 * * [misc]simplify: iters left: 1 (319 enodes) 1540197000.935 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) 1540197000.935 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (* (sqrt PI) (sqrt n)) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))))) 1540197000.935 * * * * [misc]progress: [ 1763 / 6870 ] simplifiying candidate # 1540197000.936 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197000.936 * * [misc]simplify: iters left: 6 (21 enodes) 1540197000.939 * * [misc]simplify: iters left: 5 (35 enodes) 1540197000.944 * * [misc]simplify: iters left: 4 (68 enodes) 1540197000.956 * * [misc]simplify: iters left: 3 (185 enodes) 1540197001.020 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197001.021 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197001.021 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197001.021 * * [misc]simplify: iters left: 6 (20 enodes) 1540197001.024 * * [misc]simplify: iters left: 5 (29 enodes) 1540197001.027 * * [misc]simplify: iters left: 4 (48 enodes) 1540197001.036 * * [misc]simplify: iters left: 3 (96 enodes) 1540197001.053 * * [misc]simplify: iters left: 2 (183 enodes) 1540197001.094 * * [misc]simplify: iters left: 1 (325 enodes) 1540197001.205 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540197001.205 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540197001.205 * * * * [misc]progress: [ 1764 / 6870 ] simplifiying candidate # 1540197001.205 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197001.205 * * [misc]simplify: iters left: 6 (20 enodes) 1540197001.208 * * [misc]simplify: iters left: 5 (32 enodes) 1540197001.214 * * [misc]simplify: iters left: 4 (59 enodes) 1540197001.224 * * [misc]simplify: iters left: 3 (140 enodes) 1540197001.257 * * [misc]simplify: iters left: 2 (355 enodes) 1540197001.403 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540197001.403 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197001.403 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197001.403 * * [misc]simplify: iters left: 6 (20 enodes) 1540197001.406 * * [misc]simplify: iters left: 5 (29 enodes) 1540197001.410 * * [misc]simplify: iters left: 4 (48 enodes) 1540197001.417 * * [misc]simplify: iters left: 3 (96 enodes) 1540197001.435 * * [misc]simplify: iters left: 2 (183 enodes) 1540197001.477 * * [misc]simplify: iters left: 1 (325 enodes) 1540197001.589 * [exit]simplify: Simplified to (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540197001.589 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))))) 1540197001.589 * * * * [misc]progress: [ 1765 / 6870 ] simplifiying candidate # 1540197001.590 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540197001.590 * * [misc]simplify: iters left: 6 (16 enodes) 1540197001.592 * * [misc]simplify: iters left: 5 (28 enodes) 1540197001.597 * * [misc]simplify: iters left: 4 (54 enodes) 1540197001.605 * * [misc]simplify: iters left: 3 (103 enodes) 1540197001.627 * * [misc]simplify: iters left: 2 (238 enodes) 1540197001.710 * [exit]simplify: Simplified to (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540197001.711 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540197001.711 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540197001.711 * * [misc]simplify: iters left: 6 (19 enodes) 1540197001.713 * * [misc]simplify: iters left: 5 (28 enodes) 1540197001.717 * * [misc]simplify: iters left: 4 (47 enodes) 1540197001.725 * * [misc]simplify: iters left: 3 (95 enodes) 1540197001.742 * * [misc]simplify: iters left: 2 (182 enodes) 1540197001.783 * * [misc]simplify: iters left: 1 (322 enodes) 1540197001.891 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))) 1540197001.891 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (sqrt PI) (sqrt n)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (/ (sqrt (sqrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (cbrt (sqrt (sqrt k)))))))) 1540197001.891 * * * * [misc]progress: [ 1766 / 6870 ] simplifiying candidate # 1540197001.891 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540197001.892 * * [misc]simplify: iters left: 6 (17 enodes) 1540197001.895 * * [misc]simplify: iters left: 5 (30 enodes) 1540197001.899 * * [misc]simplify: iters left: 4 (52 enodes) 1540197001.909 * * [misc]simplify: iters left: 3 (134 enodes) 1540197001.942 * * [misc]simplify: iters left: 2 (407 enodes) 1540197002.188 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540197002.188 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540197002.188 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540197002.188 * * [misc]simplify: iters left: 6 (16 enodes) 1540197002.190 * * [misc]simplify: iters left: 5 (24 enodes) 1540197002.194 * * [misc]simplify: iters left: 4 (42 enodes) 1540197002.200 * * [misc]simplify: iters left: 3 (90 enodes) 1540197002.217 * * [misc]simplify: iters left: 2 (177 enodes) 1540197002.258 * * [misc]simplify: iters left: 1 (315 enodes) 1540197002.363 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540197002.363 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540197002.363 * * * * [misc]progress: [ 1767 / 6870 ] simplifiying candidate # 1540197002.363 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (pow 2 1/2))) 1540197002.363 * * [misc]simplify: iters left: 6 (17 enodes) 1540197002.367 * * [misc]simplify: iters left: 5 (30 enodes) 1540197002.372 * * [misc]simplify: iters left: 4 (52 enodes) 1540197002.382 * * [misc]simplify: iters left: 3 (134 enodes) 1540197002.415 * * [misc]simplify: iters left: 2 (407 enodes) 1540197002.658 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) 1540197002.658 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540197002.658 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540197002.659 * * [misc]simplify: iters left: 6 (16 enodes) 1540197002.661 * * [misc]simplify: iters left: 5 (24 enodes) 1540197002.667 * * [misc]simplify: iters left: 4 (42 enodes) 1540197002.673 * * [misc]simplify: iters left: 3 (90 enodes) 1540197002.690 * * [misc]simplify: iters left: 2 (177 enodes) 1540197002.731 * * [misc]simplify: iters left: 1 (315 enodes) 1540197002.836 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))) 1540197002.836 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt n)) (cbrt (sqrt (sqrt k)))) (/ (sqrt 2) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (* (sqrt (sqrt k)) (cbrt (sqrt (sqrt k))))) (* (pow PI (/ (- k) 2)) (pow 2 (/ (- k) 2)))))) 1540197002.836 * * * * [misc]progress: [ 1768 / 6870 ] simplifiying candidate # 1540197002.837 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197002.837 * * [misc]simplify: iters left: 6 (21 enodes) 1540197002.840 * * [misc]simplify: iters left: 5 (37 enodes) 1540197002.845 * * [misc]simplify: iters left: 4 (68 enodes) 1540197002.859 * * [misc]simplify: iters left: 3 (192 enodes) 1540197002.926 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197002.926 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197002.926 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197002.926 * * [misc]simplify: iters left: 6 (19 enodes) 1540197002.929 * * [misc]simplify: iters left: 5 (28 enodes) 1540197002.933 * * [misc]simplify: iters left: 4 (47 enodes) 1540197002.940 * * [misc]simplify: iters left: 3 (95 enodes) 1540197002.957 * * [misc]simplify: iters left: 2 (182 enodes) 1540197002.999 * * [misc]simplify: iters left: 1 (320 enodes) 1540197003.107 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197003.107 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197003.107 * * * * [misc]progress: [ 1769 / 6870 ] simplifiying candidate # 1540197003.108 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197003.108 * * [misc]simplify: iters left: 6 (20 enodes) 1540197003.110 * * [misc]simplify: iters left: 5 (34 enodes) 1540197003.115 * * [misc]simplify: iters left: 4 (59 enodes) 1540197003.125 * * [misc]simplify: iters left: 3 (141 enodes) 1540197003.158 * * [misc]simplify: iters left: 2 (417 enodes) 1540197003.397 * [exit]simplify: Simplified to (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) 1540197003.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197003.397 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197003.397 * * [misc]simplify: iters left: 6 (19 enodes) 1540197003.402 * * [misc]simplify: iters left: 5 (28 enodes) 1540197003.406 * * [misc]simplify: iters left: 4 (47 enodes) 1540197003.413 * * [misc]simplify: iters left: 3 (95 enodes) 1540197003.431 * * [misc]simplify: iters left: 2 (182 enodes) 1540197003.472 * * [misc]simplify: iters left: 1 (320 enodes) 1540197003.580 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197003.581 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt n) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197003.581 * * * * [misc]progress: [ 1770 / 6870 ] simplifiying candidate # 1540197003.581 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ 1 1)) 1540197003.581 * * [misc]simplify: iters left: 6 (15 enodes) 1540197003.585 * * [misc]simplify: iters left: 5 (25 enodes) 1540197003.588 * * [misc]simplify: iters left: 4 (39 enodes) 1540197003.594 * * [misc]simplify: iters left: 3 (75 enodes) 1540197003.607 * * [misc]simplify: iters left: 2 (152 enodes) 1540197003.639 * * [misc]simplify: iters left: 1 (207 enodes) 1540197003.666 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540197003.666 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540197003.666 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540197003.666 * * [misc]simplify: iters left: 6 (18 enodes) 1540197003.668 * * [misc]simplify: iters left: 5 (27 enodes) 1540197003.672 * * [misc]simplify: iters left: 4 (46 enodes) 1540197003.679 * * [misc]simplify: iters left: 3 (94 enodes) 1540197003.697 * * [misc]simplify: iters left: 2 (181 enodes) 1540197003.738 * * [misc]simplify: iters left: 1 (322 enodes) 1540197003.848 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540197003.848 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540197003.849 * * * * [misc]progress: [ 1771 / 6870 ] simplifiying candidate # 1540197003.849 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) 1) 1540197003.849 * * [misc]simplify: iters left: 6 (14 enodes) 1540197003.851 * * [misc]simplify: iters left: 5 (24 enodes) 1540197003.854 * * [misc]simplify: iters left: 4 (41 enodes) 1540197003.861 * * [misc]simplify: iters left: 3 (87 enodes) 1540197003.877 * * [misc]simplify: iters left: 2 (174 enodes) 1540197003.923 * * [misc]simplify: iters left: 1 (237 enodes) 1540197003.955 * [exit]simplify: Simplified to (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) 1540197003.956 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540197003.956 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540197003.956 * * [misc]simplify: iters left: 6 (18 enodes) 1540197003.958 * * [misc]simplify: iters left: 5 (27 enodes) 1540197003.962 * * [misc]simplify: iters left: 4 (46 enodes) 1540197003.970 * * [misc]simplify: iters left: 3 (94 enodes) 1540197003.987 * * [misc]simplify: iters left: 2 (181 enodes) 1540197004.027 * * [misc]simplify: iters left: 1 (322 enodes) 1540197004.137 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1540197004.137 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt PI))) (/ (* (pow PI (/ (- k) 2)) (pow n (/ (- k) 2))) (* (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))) 1540197004.137 * * * * [misc]progress: [ 1772 / 6870 ] simplifiying candidate # 1540197004.138 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (sqrt (sqrt k))) 1540197004.138 * * [misc]simplify: iters left: 6 (13 enodes) 1540197004.140 * * [misc]simplify: iters left: 5 (21 enodes) 1540197004.143 * * [misc]simplify: iters left: 4 (37 enodes) 1540197004.148 * * [misc]simplify: iters left: 3 (80 enodes) 1540197004.163 * * [misc]simplify: iters left: 2 (138 enodes) 1540197004.189 * * [misc]simplify: iters left: 1 (186 enodes) 1540197004.223 * [exit]simplify: Simplified to (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540197004.223 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540197004.223 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540197004.223 * * [misc]simplify: iters left: 6 (19 enodes) 1540197004.226 * * [misc]simplify: iters left: 5 (30 enodes) 1540197004.230 * * [misc]simplify: iters left: 4 (47 enodes) 1540197004.237 * * [misc]simplify: iters left: 3 (99 enodes) 1540197004.255 * * [misc]simplify: iters left: 2 (206 enodes) 1540197004.317 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))) 1540197004.317 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt n) (cbrt (sqrt (sqrt k)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (pow n (/ (- k) 2)))))) 1540197004.317 * * * * [misc]progress: [ 1773 / 6870 ] simplifiying candidate # 1540197004.317 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n 1/2))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540197004.317 * * [misc]simplify: iters left: 6 (16 enodes) 1540197004.321 * * [misc]simplify: iters left: 5 (27 enodes) 1540197004.325 * * [misc]simplify: iters left: 4 (51 enodes) 1540197004.334 * * [misc]simplify: iters left: 3 (132 enodes) 1540197004.370 * * [misc]simplify: iters left: 2 (349 enodes) 1540197004.518 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1540197004.518 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))))) 1540197004.519 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (pow n (- (/ k 2))))) (pow 2 (/ k 2))) 1540197004.519 * * [misc]simplify: iters left: 6 (15 enodes) 1540197004.521 * * [misc]simplify: iters left: 5 (21 enodes) 1540197004.525 * * [misc]simplify: iters left: 4 (31 enodes) 1540197004.530 * * [misc]simplify: iters left: 3 (46 enodes) 1540197004.536 * * [misc]simplify: iters left: 2 (63 enodes) 1540197004.544 * * [misc]simplify: iters left: 1 (80 enodes) 1540197004.556 * [exit]simplify: Simplified to (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))) 1540197004.556 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (/ (pow n (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (/ (pow PI (/ (- k) 2)) (pow 2 (/ k 2)))))) 1540197004.556 * * * * [misc]progress: [ 1774 / 6870 ] simplifiying candidate # 1540197004.556 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540197004.556 * * [misc]simplify: iters left: 6 (22 enodes) 1540197004.560 * * [misc]simplify: iters left: 5 (37 enodes) 1540197004.565 * * [misc]simplify: iters left: 4 (79 enodes) 1540197004.580 * * [misc]simplify: iters left: 3 (204 enodes) 1540197004.645 * [exit]simplify: Simplified to (/ (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540197004.645 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540197004.645 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540197004.645 * * [misc]simplify: iters left: 6 (20 enodes) 1540197004.648 * * [misc]simplify: iters left: 5 (27 enodes) 1540197004.652 * * [misc]simplify: iters left: 4 (38 enodes) 1540197004.657 * * [misc]simplify: iters left: 3 (53 enodes) 1540197004.665 * * [misc]simplify: iters left: 2 (70 enodes) 1540197004.674 * * [misc]simplify: iters left: 1 (87 enodes) 1540197004.686 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540197004.686 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540197004.686 * * * * [misc]progress: [ 1775 / 6870 ] simplifiying candidate # 1540197004.687 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540197004.687 * * [misc]simplify: iters left: 6 (21 enodes) 1540197004.690 * * [misc]simplify: iters left: 5 (34 enodes) 1540197004.695 * * [misc]simplify: iters left: 4 (68 enodes) 1540197004.706 * * [misc]simplify: iters left: 3 (147 enodes) 1540197004.739 * * [misc]simplify: iters left: 2 (299 enodes) 1540197004.851 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) 1540197004.851 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540197004.851 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540197004.851 * * [misc]simplify: iters left: 6 (20 enodes) 1540197004.854 * * [misc]simplify: iters left: 5 (27 enodes) 1540197004.858 * * [misc]simplify: iters left: 4 (38 enodes) 1540197004.863 * * [misc]simplify: iters left: 3 (53 enodes) 1540197004.869 * * [misc]simplify: iters left: 2 (70 enodes) 1540197004.879 * * [misc]simplify: iters left: 1 (87 enodes) 1540197004.891 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540197004.891 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540197004.891 * * * * [misc]progress: [ 1776 / 6870 ] simplifiying candidate # 1540197004.891 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540197004.891 * * [misc]simplify: iters left: 6 (20 enodes) 1540197004.895 * * [misc]simplify: iters left: 5 (38 enodes) 1540197004.901 * * [misc]simplify: iters left: 4 (88 enodes) 1540197004.923 * * [misc]simplify: iters left: 3 (297 enodes) 1540197005.082 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540197005.082 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197005.082 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197005.082 * * [misc]simplify: iters left: 6 (19 enodes) 1540197005.085 * * [misc]simplify: iters left: 5 (28 enodes) 1540197005.089 * * [misc]simplify: iters left: 4 (46 enodes) 1540197005.096 * * [misc]simplify: iters left: 3 (91 enodes) 1540197005.114 * * [misc]simplify: iters left: 2 (156 enodes) 1540197005.147 * * [misc]simplify: iters left: 1 (239 enodes) 1540197005.206 * [exit]simplify: Simplified to (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197005.206 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540197005.206 * * * * [misc]progress: [ 1777 / 6870 ] simplifiying candidate # 1540197005.207 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540197005.207 * * [misc]simplify: iters left: 6 (20 enodes) 1540197005.211 * * [misc]simplify: iters left: 5 (38 enodes) 1540197005.217 * * [misc]simplify: iters left: 4 (88 enodes) 1540197005.239 * * [misc]simplify: iters left: 3 (297 enodes) 1540197005.398 * [exit]simplify: Simplified to (/ (* (sqrt 2) (sqrt PI)) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540197005.398 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197005.398 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197005.398 * * [misc]simplify: iters left: 6 (19 enodes) 1540197005.401 * * [misc]simplify: iters left: 5 (28 enodes) 1540197005.405 * * [misc]simplify: iters left: 4 (46 enodes) 1540197005.412 * * [misc]simplify: iters left: 3 (91 enodes) 1540197005.430 * * [misc]simplify: iters left: 2 (156 enodes) 1540197005.463 * * [misc]simplify: iters left: 1 (239 enodes) 1540197005.522 * [exit]simplify: Simplified to (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197005.522 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540197005.522 * * * * [misc]progress: [ 1778 / 6870 ] simplifiying candidate # 1540197005.522 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197005.522 * * [misc]simplify: iters left: 6 (22 enodes) 1540197005.526 * * [misc]simplify: iters left: 5 (43 enodes) 1540197005.533 * * [misc]simplify: iters left: 4 (113 enodes) 1540197005.563 * * [misc]simplify: iters left: 3 (435 enodes) 1540197005.869 * [exit]simplify: Simplified to (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197005.870 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197005.870 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197005.870 * * [misc]simplify: iters left: 6 (20 enodes) 1540197005.873 * * [misc]simplify: iters left: 5 (29 enodes) 1540197005.877 * * [misc]simplify: iters left: 4 (47 enodes) 1540197005.884 * * [misc]simplify: iters left: 3 (92 enodes) 1540197005.900 * * [misc]simplify: iters left: 2 (157 enodes) 1540197005.934 * * [misc]simplify: iters left: 1 (236 enodes) 1540197005.991 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197005.991 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (sqrt PI) (cbrt (pow n (- 1/2 (/ k 2))))) (cbrt (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540197005.991 * * * * [misc]progress: [ 1779 / 6870 ] simplifiying candidate # 1540197005.991 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197005.991 * * [misc]simplify: iters left: 6 (21 enodes) 1540197005.994 * * [misc]simplify: iters left: 5 (38 enodes) 1540197006.000 * * [misc]simplify: iters left: 4 (88 enodes) 1540197006.020 * * [misc]simplify: iters left: 3 (299 enodes) 1540197006.184 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540197006.184 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197006.184 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197006.184 * * [misc]simplify: iters left: 6 (20 enodes) 1540197006.187 * * [misc]simplify: iters left: 5 (29 enodes) 1540197006.191 * * [misc]simplify: iters left: 4 (47 enodes) 1540197006.198 * * [misc]simplify: iters left: 3 (92 enodes) 1540197006.214 * * [misc]simplify: iters left: 2 (157 enodes) 1540197006.248 * * [misc]simplify: iters left: 1 (236 enodes) 1540197006.305 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197006.305 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540197006.305 * * * * [misc]progress: [ 1780 / 6870 ] simplifiying candidate # 1540197006.306 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540197006.306 * * [misc]simplify: iters left: 6 (20 enodes) 1540197006.309 * * [misc]simplify: iters left: 5 (39 enodes) 1540197006.316 * * [misc]simplify: iters left: 4 (95 enodes) 1540197006.335 * * [misc]simplify: iters left: 3 (285 enodes) 1540197006.537 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (pow (cbrt (sqrt (sqrt k))) 3) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197006.537 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (pow (cbrt (sqrt (sqrt k))) 3) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540197006.537 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540197006.537 * * [misc]simplify: iters left: 6 (19 enodes) 1540197006.540 * * [misc]simplify: iters left: 5 (28 enodes) 1540197006.546 * * [misc]simplify: iters left: 4 (46 enodes) 1540197006.553 * * [misc]simplify: iters left: 3 (91 enodes) 1540197006.569 * * [misc]simplify: iters left: 2 (156 enodes) 1540197006.602 * * [misc]simplify: iters left: 1 (239 enodes) 1540197006.661 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197006.661 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (pow (cbrt (sqrt (sqrt k))) 3) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540197006.661 * * * * [misc]progress: [ 1781 / 6870 ] simplifiying candidate # 1540197006.661 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540197006.661 * * [misc]simplify: iters left: 6 (23 enodes) 1540197006.665 * * [misc]simplify: iters left: 5 (40 enodes) 1540197006.673 * * [misc]simplify: iters left: 4 (82 enodes) 1540197006.689 * * [misc]simplify: iters left: 3 (221 enodes) 1540197006.768 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197006.768 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197006.768 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197006.768 * * [misc]simplify: iters left: 6 (21 enodes) 1540197006.771 * * [misc]simplify: iters left: 5 (30 enodes) 1540197006.775 * * [misc]simplify: iters left: 4 (49 enodes) 1540197006.783 * * [misc]simplify: iters left: 3 (97 enodes) 1540197006.800 * * [misc]simplify: iters left: 2 (184 enodes) 1540197006.842 * * [misc]simplify: iters left: 1 (323 enodes) 1540197006.950 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540197006.950 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540197006.950 * * * * [misc]progress: [ 1782 / 6870 ] simplifiying candidate # 1540197006.951 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540197006.951 * * [misc]simplify: iters left: 6 (23 enodes) 1540197006.955 * * [misc]simplify: iters left: 5 (40 enodes) 1540197006.961 * * [misc]simplify: iters left: 4 (82 enodes) 1540197006.978 * * [misc]simplify: iters left: 3 (221 enodes) 1540197007.058 * [exit]simplify: Simplified to (* (/ (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197007.058 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197007.058 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197007.058 * * [misc]simplify: iters left: 6 (21 enodes) 1540197007.061 * * [misc]simplify: iters left: 5 (30 enodes) 1540197007.065 * * [misc]simplify: iters left: 4 (49 enodes) 1540197007.073 * * [misc]simplify: iters left: 3 (97 enodes) 1540197007.090 * * [misc]simplify: iters left: 2 (184 enodes) 1540197007.132 * * [misc]simplify: iters left: 1 (323 enodes) 1540197007.240 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540197007.240 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (* (sqrt PI) (sqrt 2)) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540197007.240 * * * * [misc]progress: [ 1783 / 6870 ] simplifiying candidate # 1540197007.241 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197007.241 * * [misc]simplify: iters left: 6 (25 enodes) 1540197007.244 * * [misc]simplify: iters left: 5 (43 enodes) 1540197007.251 * * [misc]simplify: iters left: 4 (91 enodes) 1540197007.270 * * [misc]simplify: iters left: 3 (281 enodes) 1540197007.404 * [exit]simplify: Simplified to (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) 1540197007.404 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197007.404 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197007.404 * * [misc]simplify: iters left: 6 (22 enodes) 1540197007.407 * * [misc]simplify: iters left: 5 (31 enodes) 1540197007.412 * * [misc]simplify: iters left: 4 (50 enodes) 1540197007.419 * * [misc]simplify: iters left: 3 (98 enodes) 1540197007.439 * * [misc]simplify: iters left: 2 (185 enodes) 1540197007.478 * * [misc]simplify: iters left: 1 (321 enodes) 1540197007.584 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197007.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197007.584 * * * * [misc]progress: [ 1784 / 6870 ] simplifiying candidate # 1540197007.584 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197007.585 * * [misc]simplify: iters left: 6 (24 enodes) 1540197007.588 * * [misc]simplify: iters left: 5 (40 enodes) 1540197007.594 * * [misc]simplify: iters left: 4 (82 enodes) 1540197007.609 * * [misc]simplify: iters left: 3 (221 enodes) 1540197007.694 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) 1540197007.694 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197007.694 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197007.694 * * [misc]simplify: iters left: 6 (22 enodes) 1540197007.697 * * [misc]simplify: iters left: 5 (31 enodes) 1540197007.701 * * [misc]simplify: iters left: 4 (50 enodes) 1540197007.709 * * [misc]simplify: iters left: 3 (98 enodes) 1540197007.726 * * [misc]simplify: iters left: 2 (185 enodes) 1540197007.767 * * [misc]simplify: iters left: 1 (321 enodes) 1540197007.871 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197007.872 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k)))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197007.872 * * * * [misc]progress: [ 1785 / 6870 ] simplifiying candidate # 1540197007.872 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540197007.872 * * [misc]simplify: iters left: 6 (23 enodes) 1540197007.877 * * [misc]simplify: iters left: 5 (40 enodes) 1540197007.883 * * [misc]simplify: iters left: 4 (79 enodes) 1540197007.897 * * [misc]simplify: iters left: 3 (187 enodes) 1540197007.977 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197007.977 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540197007.977 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540197007.977 * * [misc]simplify: iters left: 6 (21 enodes) 1540197007.980 * * [misc]simplify: iters left: 5 (30 enodes) 1540197007.984 * * [misc]simplify: iters left: 4 (49 enodes) 1540197007.992 * * [misc]simplify: iters left: 3 (97 enodes) 1540197008.011 * * [misc]simplify: iters left: 2 (184 enodes) 1540197008.051 * * [misc]simplify: iters left: 1 (323 enodes) 1540197008.160 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540197008.160 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (fabs (cbrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540197008.160 * * * * [misc]progress: [ 1786 / 6870 ] simplifiying candidate # 1540197008.160 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540197008.160 * * [misc]simplify: iters left: 6 (21 enodes) 1540197008.164 * * [misc]simplify: iters left: 5 (37 enodes) 1540197008.170 * * [misc]simplify: iters left: 4 (79 enodes) 1540197008.186 * * [misc]simplify: iters left: 3 (214 enodes) 1540197008.265 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540197008.266 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197008.266 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197008.266 * * [misc]simplify: iters left: 6 (20 enodes) 1540197008.269 * * [misc]simplify: iters left: 5 (29 enodes) 1540197008.273 * * [misc]simplify: iters left: 4 (48 enodes) 1540197008.280 * * [misc]simplify: iters left: 3 (96 enodes) 1540197008.298 * * [misc]simplify: iters left: 2 (183 enodes) 1540197008.340 * * [misc]simplify: iters left: 1 (324 enodes) 1540197008.453 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540197008.453 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540197008.453 * * * * [misc]progress: [ 1787 / 6870 ] simplifiying candidate # 1540197008.453 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540197008.453 * * [misc]simplify: iters left: 6 (21 enodes) 1540197008.457 * * [misc]simplify: iters left: 5 (37 enodes) 1540197008.463 * * [misc]simplify: iters left: 4 (79 enodes) 1540197008.479 * * [misc]simplify: iters left: 3 (214 enodes) 1540197008.557 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540197008.557 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197008.557 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197008.557 * * [misc]simplify: iters left: 6 (20 enodes) 1540197008.560 * * [misc]simplify: iters left: 5 (29 enodes) 1540197008.564 * * [misc]simplify: iters left: 4 (48 enodes) 1540197008.573 * * [misc]simplify: iters left: 3 (96 enodes) 1540197008.591 * * [misc]simplify: iters left: 2 (183 enodes) 1540197008.631 * * [misc]simplify: iters left: 1 (324 enodes) 1540197008.743 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540197008.743 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540197008.743 * * * * [misc]progress: [ 1788 / 6870 ] simplifiying candidate # 1540197008.743 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197008.744 * * [misc]simplify: iters left: 6 (23 enodes) 1540197008.747 * * [misc]simplify: iters left: 5 (40 enodes) 1540197008.753 * * [misc]simplify: iters left: 4 (88 enodes) 1540197008.772 * * [misc]simplify: iters left: 3 (270 enodes) 1540197008.903 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540197008.903 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197008.904 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197008.904 * * [misc]simplify: iters left: 6 (21 enodes) 1540197008.906 * * [misc]simplify: iters left: 5 (30 enodes) 1540197008.911 * * [misc]simplify: iters left: 4 (49 enodes) 1540197008.918 * * [misc]simplify: iters left: 3 (97 enodes) 1540197008.936 * * [misc]simplify: iters left: 2 (184 enodes) 1540197008.977 * * [misc]simplify: iters left: 1 (323 enodes) 1540197009.085 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197009.085 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197009.085 * * * * [misc]progress: [ 1789 / 6870 ] simplifiying candidate # 1540197009.085 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197009.085 * * [misc]simplify: iters left: 6 (22 enodes) 1540197009.089 * * [misc]simplify: iters left: 5 (37 enodes) 1540197009.094 * * [misc]simplify: iters left: 4 (79 enodes) 1540197009.109 * * [misc]simplify: iters left: 3 (214 enodes) 1540197009.190 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197009.191 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197009.191 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197009.191 * * [misc]simplify: iters left: 6 (21 enodes) 1540197009.194 * * [misc]simplify: iters left: 5 (30 enodes) 1540197009.198 * * [misc]simplify: iters left: 4 (49 enodes) 1540197009.207 * * [misc]simplify: iters left: 3 (97 enodes) 1540197009.225 * * [misc]simplify: iters left: 2 (184 enodes) 1540197009.266 * * [misc]simplify: iters left: 1 (323 enodes) 1540197009.372 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197009.372 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197009.372 * * * * [misc]progress: [ 1790 / 6870 ] simplifiying candidate # 1540197009.373 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540197009.373 * * [misc]simplify: iters left: 6 (21 enodes) 1540197009.376 * * [misc]simplify: iters left: 5 (38 enodes) 1540197009.382 * * [misc]simplify: iters left: 4 (82 enodes) 1540197009.399 * * [misc]simplify: iters left: 3 (172 enodes) 1540197009.448 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197009.448 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540197009.448 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540197009.448 * * [misc]simplify: iters left: 6 (20 enodes) 1540197009.451 * * [misc]simplify: iters left: 5 (29 enodes) 1540197009.457 * * [misc]simplify: iters left: 4 (48 enodes) 1540197009.464 * * [misc]simplify: iters left: 3 (96 enodes) 1540197009.481 * * [misc]simplify: iters left: 2 (183 enodes) 1540197009.523 * * [misc]simplify: iters left: 1 (324 enodes) 1540197009.635 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540197009.635 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540197009.635 * * * * [misc]progress: [ 1791 / 6870 ] simplifiying candidate # 1540197009.635 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540197009.636 * * [misc]simplify: iters left: 6 (22 enodes) 1540197009.641 * * [misc]simplify: iters left: 5 (40 enodes) 1540197009.647 * * [misc]simplify: iters left: 4 (84 enodes) 1540197009.666 * * [misc]simplify: iters left: 3 (256 enodes) 1540197009.784 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197009.784 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540197009.784 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540197009.785 * * [misc]simplify: iters left: 6 (19 enodes) 1540197009.787 * * [misc]simplify: iters left: 5 (28 enodes) 1540197009.791 * * [misc]simplify: iters left: 4 (47 enodes) 1540197009.798 * * [misc]simplify: iters left: 3 (95 enodes) 1540197009.816 * * [misc]simplify: iters left: 2 (182 enodes) 1540197009.858 * * [misc]simplify: iters left: 1 (319 enodes) 1540197009.967 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540197009.967 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540197009.967 * * * * [misc]progress: [ 1792 / 6870 ] simplifiying candidate # 1540197009.967 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (pow 2 1/2))) 1540197009.967 * * [misc]simplify: iters left: 6 (22 enodes) 1540197009.971 * * [misc]simplify: iters left: 5 (40 enodes) 1540197009.978 * * [misc]simplify: iters left: 4 (84 enodes) 1540197009.997 * * [misc]simplify: iters left: 3 (256 enodes) 1540197010.114 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197010.114 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540197010.115 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540197010.115 * * [misc]simplify: iters left: 6 (19 enodes) 1540197010.117 * * [misc]simplify: iters left: 5 (28 enodes) 1540197010.121 * * [misc]simplify: iters left: 4 (47 enodes) 1540197010.128 * * [misc]simplify: iters left: 3 (95 enodes) 1540197010.148 * * [misc]simplify: iters left: 2 (182 enodes) 1540197010.188 * * [misc]simplify: iters left: 1 (319 enodes) 1540197010.296 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540197010.296 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540197010.297 * * * * [misc]progress: [ 1793 / 6870 ] simplifiying candidate # 1540197010.297 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197010.297 * * [misc]simplify: iters left: 6 (24 enodes) 1540197010.301 * * [misc]simplify: iters left: 5 (43 enodes) 1540197010.307 * * [misc]simplify: iters left: 4 (94 enodes) 1540197010.332 * * [misc]simplify: iters left: 3 (330 enodes) 1540197010.516 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540197010.516 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197010.517 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197010.517 * * [misc]simplify: iters left: 6 (20 enodes) 1540197010.519 * * [misc]simplify: iters left: 5 (29 enodes) 1540197010.523 * * [misc]simplify: iters left: 4 (48 enodes) 1540197010.530 * * [misc]simplify: iters left: 3 (96 enodes) 1540197010.548 * * [misc]simplify: iters left: 2 (183 enodes) 1540197010.590 * * [misc]simplify: iters left: 1 (326 enodes) 1540197010.701 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197010.701 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540197010.701 * * * * [misc]progress: [ 1794 / 6870 ] simplifiying candidate # 1540197010.701 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197010.701 * * [misc]simplify: iters left: 6 (23 enodes) 1540197010.705 * * [misc]simplify: iters left: 5 (40 enodes) 1540197010.711 * * [misc]simplify: iters left: 4 (84 enodes) 1540197010.729 * * [misc]simplify: iters left: 3 (254 enodes) 1540197010.847 * [exit]simplify: Simplified to (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) 1540197010.847 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197010.847 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197010.847 * * [misc]simplify: iters left: 6 (20 enodes) 1540197010.850 * * [misc]simplify: iters left: 5 (29 enodes) 1540197010.854 * * [misc]simplify: iters left: 4 (48 enodes) 1540197010.861 * * [misc]simplify: iters left: 3 (96 enodes) 1540197010.879 * * [misc]simplify: iters left: 2 (183 enodes) 1540197010.922 * * [misc]simplify: iters left: 1 (326 enodes) 1540197011.033 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197011.033 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt PI) (sqrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540197011.033 * * * * [misc]progress: [ 1795 / 6870 ] simplifiying candidate # 1540197011.033 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt 1) 1)) 1540197011.034 * * [misc]simplify: iters left: 6 (21 enodes) 1540197011.037 * * [misc]simplify: iters left: 5 (38 enodes) 1540197011.043 * * [misc]simplify: iters left: 4 (67 enodes) 1540197011.055 * * [misc]simplify: iters left: 3 (161 enodes) 1540197011.096 * * [misc]simplify: iters left: 2 (480 enodes) 1540197011.702 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) 1540197011.702 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540197011.702 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540197011.702 * * [misc]simplify: iters left: 6 (19 enodes) 1540197011.705 * * [misc]simplify: iters left: 5 (28 enodes) 1540197011.712 * * [misc]simplify: iters left: 4 (47 enodes) 1540197011.719 * * [misc]simplify: iters left: 3 (95 enodes) 1540197011.736 * * [misc]simplify: iters left: 2 (182 enodes) 1540197011.776 * * [misc]simplify: iters left: 1 (319 enodes) 1540197011.882 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540197011.882 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540197011.882 * * * * [misc]progress: [ 1796 / 6870 ] simplifiying candidate # 1540197011.883 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540197011.883 * * [misc]simplify: iters left: 6 (21 enodes) 1540197011.887 * * [misc]simplify: iters left: 5 (37 enodes) 1540197011.894 * * [misc]simplify: iters left: 4 (79 enodes) 1540197011.910 * * [misc]simplify: iters left: 3 (214 enodes) 1540197011.987 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540197011.987 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197011.987 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197011.987 * * [misc]simplify: iters left: 6 (20 enodes) 1540197011.990 * * [misc]simplify: iters left: 5 (29 enodes) 1540197011.994 * * [misc]simplify: iters left: 4 (48 enodes) 1540197012.001 * * [misc]simplify: iters left: 3 (96 enodes) 1540197012.019 * * [misc]simplify: iters left: 2 (183 enodes) 1540197012.061 * * [misc]simplify: iters left: 1 (324 enodes) 1540197012.174 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540197012.174 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540197012.174 * * * * [misc]progress: [ 1797 / 6870 ] simplifiying candidate # 1540197012.174 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540197012.174 * * [misc]simplify: iters left: 6 (21 enodes) 1540197012.178 * * [misc]simplify: iters left: 5 (37 enodes) 1540197012.185 * * [misc]simplify: iters left: 4 (79 enodes) 1540197012.200 * * [misc]simplify: iters left: 3 (214 enodes) 1540197012.279 * [exit]simplify: Simplified to (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540197012.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197012.280 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197012.280 * * [misc]simplify: iters left: 6 (20 enodes) 1540197012.282 * * [misc]simplify: iters left: 5 (29 enodes) 1540197012.287 * * [misc]simplify: iters left: 4 (48 enodes) 1540197012.294 * * [misc]simplify: iters left: 3 (96 enodes) 1540197012.311 * * [misc]simplify: iters left: 2 (183 enodes) 1540197012.353 * * [misc]simplify: iters left: 1 (324 enodes) 1540197012.466 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540197012.466 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (/ (* (sqrt PI) (sqrt 2)) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540197012.466 * * * * [misc]progress: [ 1798 / 6870 ] simplifiying candidate # 1540197012.467 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197012.467 * * [misc]simplify: iters left: 6 (23 enodes) 1540197012.470 * * [misc]simplify: iters left: 5 (40 enodes) 1540197012.476 * * [misc]simplify: iters left: 4 (88 enodes) 1540197012.494 * * [misc]simplify: iters left: 3 (270 enodes) 1540197012.625 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540197012.625 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197012.625 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197012.625 * * [misc]simplify: iters left: 6 (21 enodes) 1540197012.628 * * [misc]simplify: iters left: 5 (30 enodes) 1540197012.632 * * [misc]simplify: iters left: 4 (49 enodes) 1540197012.639 * * [misc]simplify: iters left: 3 (97 enodes) 1540197012.659 * * [misc]simplify: iters left: 2 (184 enodes) 1540197012.699 * * [misc]simplify: iters left: 1 (323 enodes) 1540197012.807 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197012.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197012.807 * * * * [misc]progress: [ 1799 / 6870 ] simplifiying candidate # 1540197012.807 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197012.807 * * [misc]simplify: iters left: 6 (22 enodes) 1540197012.810 * * [misc]simplify: iters left: 5 (37 enodes) 1540197012.816 * * [misc]simplify: iters left: 4 (79 enodes) 1540197012.831 * * [misc]simplify: iters left: 3 (214 enodes) 1540197012.913 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197012.913 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197012.914 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197012.914 * * [misc]simplify: iters left: 6 (21 enodes) 1540197012.917 * * [misc]simplify: iters left: 5 (30 enodes) 1540197012.921 * * [misc]simplify: iters left: 4 (49 enodes) 1540197012.928 * * [misc]simplify: iters left: 3 (97 enodes) 1540197012.946 * * [misc]simplify: iters left: 2 (184 enodes) 1540197012.987 * * [misc]simplify: iters left: 1 (323 enodes) 1540197013.094 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197013.094 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197013.094 * * * * [misc]progress: [ 1800 / 6870 ] simplifiying candidate # 1540197013.095 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540197013.095 * * [misc]simplify: iters left: 6 (21 enodes) 1540197013.098 * * [misc]simplify: iters left: 5 (38 enodes) 1540197013.104 * * [misc]simplify: iters left: 4 (82 enodes) 1540197013.119 * * [misc]simplify: iters left: 3 (172 enodes) 1540197013.170 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197013.170 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540197013.170 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540197013.170 * * [misc]simplify: iters left: 6 (20 enodes) 1540197013.173 * * [misc]simplify: iters left: 5 (29 enodes) 1540197013.177 * * [misc]simplify: iters left: 4 (48 enodes) 1540197013.184 * * [misc]simplify: iters left: 3 (96 enodes) 1540197013.201 * * [misc]simplify: iters left: 2 (183 enodes) 1540197013.244 * * [misc]simplify: iters left: 1 (324 enodes) 1540197013.357 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540197013.357 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540197013.358 * * * * [misc]progress: [ 1801 / 6870 ] simplifiying candidate # 1540197013.358 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540197013.358 * * [misc]simplify: iters left: 6 (21 enodes) 1540197013.362 * * [misc]simplify: iters left: 5 (39 enodes) 1540197013.368 * * [misc]simplify: iters left: 4 (79 enodes) 1540197013.384 * * [misc]simplify: iters left: 3 (211 enodes) 1540197013.459 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197013.459 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540197013.460 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540197013.460 * * [misc]simplify: iters left: 6 (19 enodes) 1540197013.462 * * [misc]simplify: iters left: 5 (28 enodes) 1540197013.466 * * [misc]simplify: iters left: 4 (47 enodes) 1540197013.473 * * [misc]simplify: iters left: 3 (95 enodes) 1540197013.493 * * [misc]simplify: iters left: 2 (182 enodes) 1540197013.533 * * [misc]simplify: iters left: 1 (319 enodes) 1540197013.641 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540197013.641 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540197013.641 * * * * [misc]progress: [ 1802 / 6870 ] simplifiying candidate # 1540197013.641 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (pow 2 1/2))) 1540197013.642 * * [misc]simplify: iters left: 6 (21 enodes) 1540197013.646 * * [misc]simplify: iters left: 5 (39 enodes) 1540197013.652 * * [misc]simplify: iters left: 4 (79 enodes) 1540197013.670 * * [misc]simplify: iters left: 3 (211 enodes) 1540197013.971 * [exit]simplify: Simplified to (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197013.971 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540197013.971 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540197013.971 * * [misc]simplify: iters left: 6 (19 enodes) 1540197013.974 * * [misc]simplify: iters left: 5 (28 enodes) 1540197013.977 * * [misc]simplify: iters left: 4 (47 enodes) 1540197013.984 * * [misc]simplify: iters left: 3 (95 enodes) 1540197014.001 * * [misc]simplify: iters left: 2 (182 enodes) 1540197014.043 * * [misc]simplify: iters left: 1 (319 enodes) 1540197014.150 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540197014.150 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (* (sqrt PI) (sqrt 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540197014.150 * * * * [misc]progress: [ 1803 / 6870 ] simplifiying candidate # 1540197014.150 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197014.150 * * [misc]simplify: iters left: 6 (23 enodes) 1540197014.154 * * [misc]simplify: iters left: 5 (42 enodes) 1540197014.160 * * [misc]simplify: iters left: 4 (88 enodes) 1540197014.179 * * [misc]simplify: iters left: 3 (284 enodes) 1540197014.316 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1540197014.316 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197014.316 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197014.316 * * [misc]simplify: iters left: 6 (20 enodes) 1540197014.319 * * [misc]simplify: iters left: 5 (29 enodes) 1540197014.323 * * [misc]simplify: iters left: 4 (48 enodes) 1540197014.330 * * [misc]simplify: iters left: 3 (96 enodes) 1540197014.350 * * [misc]simplify: iters left: 2 (183 enodes) 1540197014.390 * * [misc]simplify: iters left: 1 (326 enodes) 1540197014.501 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197014.501 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI)) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540197014.501 * * * * [misc]progress: [ 1804 / 6870 ] simplifiying candidate # 1540197014.501 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197014.501 * * [misc]simplify: iters left: 6 (22 enodes) 1540197014.505 * * [misc]simplify: iters left: 5 (39 enodes) 1540197014.511 * * [misc]simplify: iters left: 4 (79 enodes) 1540197014.527 * * [misc]simplify: iters left: 3 (209 enodes) 1540197014.604 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) 1540197014.604 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197014.604 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197014.604 * * [misc]simplify: iters left: 6 (20 enodes) 1540197014.607 * * [misc]simplify: iters left: 5 (29 enodes) 1540197014.611 * * [misc]simplify: iters left: 4 (48 enodes) 1540197014.618 * * [misc]simplify: iters left: 3 (96 enodes) 1540197014.636 * * [misc]simplify: iters left: 2 (183 enodes) 1540197014.678 * * [misc]simplify: iters left: 1 (326 enodes) 1540197014.789 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197014.789 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (sqrt PI))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))))) 1540197014.789 * * * * [misc]progress: [ 1805 / 6870 ] simplifiying candidate # 1540197014.790 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ 1 1)) 1540197014.790 * * [misc]simplify: iters left: 6 (20 enodes) 1540197014.793 * * [misc]simplify: iters left: 5 (35 enodes) 1540197014.798 * * [misc]simplify: iters left: 4 (67 enodes) 1540197014.811 * * [misc]simplify: iters left: 3 (166 enodes) 1540197014.863 * * [misc]simplify: iters left: 2 (410 enodes) 1540197015.017 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197015.017 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540197015.017 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540197015.017 * * [misc]simplify: iters left: 6 (19 enodes) 1540197015.022 * * [misc]simplify: iters left: 5 (28 enodes) 1540197015.026 * * [misc]simplify: iters left: 4 (47 enodes) 1540197015.033 * * [misc]simplify: iters left: 3 (95 enodes) 1540197015.050 * * [misc]simplify: iters left: 2 (182 enodes) 1540197015.092 * * [misc]simplify: iters left: 1 (319 enodes) 1540197015.199 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540197015.199 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540197015.199 * * * * [misc]progress: [ 1806 / 6870 ] simplifiying candidate # 1540197015.199 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) 1) 1540197015.199 * * [misc]simplify: iters left: 6 (19 enodes) 1540197015.202 * * [misc]simplify: iters left: 5 (34 enodes) 1540197015.209 * * [misc]simplify: iters left: 4 (71 enodes) 1540197015.223 * * [misc]simplify: iters left: 3 (185 enodes) 1540197015.283 * * [misc]simplify: iters left: 2 (436 enodes) 1540197015.458 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) 1540197015.458 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540197015.459 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540197015.459 * * [misc]simplify: iters left: 6 (19 enodes) 1540197015.461 * * [misc]simplify: iters left: 5 (28 enodes) 1540197015.466 * * [misc]simplify: iters left: 4 (47 enodes) 1540197015.473 * * [misc]simplify: iters left: 3 (95 enodes) 1540197015.490 * * [misc]simplify: iters left: 2 (182 enodes) 1540197015.531 * * [misc]simplify: iters left: 1 (319 enodes) 1540197015.640 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540197015.640 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540197015.640 * * * * [misc]progress: [ 1807 / 6870 ] simplifiying candidate # 1540197015.640 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (sqrt (sqrt k))) 1540197015.640 * * [misc]simplify: iters left: 6 (18 enodes) 1540197015.643 * * [misc]simplify: iters left: 5 (31 enodes) 1540197015.648 * * [misc]simplify: iters left: 4 (65 enodes) 1540197015.659 * * [misc]simplify: iters left: 3 (148 enodes) 1540197015.691 * * [misc]simplify: iters left: 2 (298 enodes) 1540197015.799 * [exit]simplify: Simplified to (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540197015.799 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))))) 1540197015.799 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (/ 1 (pow 2 (- 1/2 (/ k 2))))) 1540197015.799 * * [misc]simplify: iters left: 6 (20 enodes) 1540197015.802 * * [misc]simplify: iters left: 5 (31 enodes) 1540197015.806 * * [misc]simplify: iters left: 4 (48 enodes) 1540197015.814 * * [misc]simplify: iters left: 3 (100 enodes) 1540197015.833 * * [misc]simplify: iters left: 2 (208 enodes) 1540197015.900 * [exit]simplify: Simplified to (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))) 1540197015.900 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (cbrt (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2)))) (cbrt (sqrt (sqrt k)))))) 1540197015.900 * * * * [misc]progress: [ 1808 / 6870 ] simplifiying candidate # 1540197015.901 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow n (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (pow 2 1/2))) 1540197015.901 * * [misc]simplify: iters left: 6 (20 enodes) 1540197015.905 * * [misc]simplify: iters left: 5 (36 enodes) 1540197015.910 * * [misc]simplify: iters left: 4 (78 enodes) 1540197015.926 * * [misc]simplify: iters left: 3 (213 enodes) 1540197016.004 * [exit]simplify: Simplified to (* (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540197016.004 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))))) 1540197016.005 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow n (- 1/2 (/ k 2)))))) (pow 2 (/ k 2))) 1540197016.005 * * [misc]simplify: iters left: 6 (18 enodes) 1540197016.007 * * [misc]simplify: iters left: 5 (25 enodes) 1540197016.010 * * [misc]simplify: iters left: 4 (36 enodes) 1540197016.015 * * [misc]simplify: iters left: 3 (51 enodes) 1540197016.024 * * [misc]simplify: iters left: 2 (68 enodes) 1540197016.033 * * [misc]simplify: iters left: 1 (85 enodes) 1540197016.045 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (pow 2 (/ k 2)))) 1540197016.045 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (/ (* (sqrt 2) (sqrt PI)) (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (* (pow PI (/ (- k) 2)) (cbrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (pow 2 (/ k 2)))))) 1540197016.045 * * * * [misc]progress: [ 1809 / 6870 ] simplifiying candidate # 1540197016.045 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540197016.045 * * [misc]simplify: iters left: 6 (21 enodes) 1540197016.048 * * [misc]simplify: iters left: 5 (32 enodes) 1540197016.053 * * [misc]simplify: iters left: 4 (59 enodes) 1540197016.062 * * [misc]simplify: iters left: 3 (128 enodes) 1540197016.090 * * [misc]simplify: iters left: 2 (265 enodes) 1540197016.164 * * [misc]simplify: iters left: 1 (453 enodes) 1540197016.321 * [exit]simplify: Simplified to (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) 1540197016.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540197016.321 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540197016.321 * * [misc]simplify: iters left: 6 (20 enodes) 1540197016.324 * * [misc]simplify: iters left: 5 (27 enodes) 1540197016.329 * * [misc]simplify: iters left: 4 (38 enodes) 1540197016.334 * * [misc]simplify: iters left: 3 (53 enodes) 1540197016.341 * * [misc]simplify: iters left: 2 (70 enodes) 1540197016.350 * * [misc]simplify: iters left: 1 (87 enodes) 1540197016.362 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540197016.362 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540197016.362 * * * * [misc]progress: [ 1810 / 6870 ] simplifiying candidate # 1540197016.363 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540197016.363 * * [misc]simplify: iters left: 6 (20 enodes) 1540197016.365 * * [misc]simplify: iters left: 5 (29 enodes) 1540197016.370 * * [misc]simplify: iters left: 4 (48 enodes) 1540197016.377 * * [misc]simplify: iters left: 3 (91 enodes) 1540197016.392 * * [misc]simplify: iters left: 2 (149 enodes) 1540197016.421 * * [misc]simplify: iters left: 1 (195 enodes) 1540197016.456 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540197016.456 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540197016.456 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540197016.456 * * [misc]simplify: iters left: 6 (20 enodes) 1540197016.459 * * [misc]simplify: iters left: 5 (27 enodes) 1540197016.463 * * [misc]simplify: iters left: 4 (38 enodes) 1540197016.468 * * [misc]simplify: iters left: 3 (53 enodes) 1540197016.475 * * [misc]simplify: iters left: 2 (70 enodes) 1540197016.485 * * [misc]simplify: iters left: 1 (87 enodes) 1540197016.496 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1540197016.496 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (sqrt (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1540197016.496 * * * * [misc]progress: [ 1811 / 6870 ] simplifiying candidate # 1540197016.497 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540197016.497 * * [misc]simplify: iters left: 6 (19 enodes) 1540197016.500 * * [misc]simplify: iters left: 5 (33 enodes) 1540197016.506 * * [misc]simplify: iters left: 4 (68 enodes) 1540197016.520 * * [misc]simplify: iters left: 3 (203 enodes) 1540197016.598 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540197016.598 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197016.598 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197016.598 * * [misc]simplify: iters left: 6 (19 enodes) 1540197016.601 * * [misc]simplify: iters left: 5 (28 enodes) 1540197016.605 * * [misc]simplify: iters left: 4 (46 enodes) 1540197016.612 * * [misc]simplify: iters left: 3 (91 enodes) 1540197016.628 * * [misc]simplify: iters left: 2 (156 enodes) 1540197016.662 * * [misc]simplify: iters left: 1 (239 enodes) 1540197016.720 * [exit]simplify: Simplified to (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540197016.720 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540197016.720 * * * * [misc]progress: [ 1812 / 6870 ] simplifiying candidate # 1540197016.721 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow 2 1/2))) 1540197016.721 * * [misc]simplify: iters left: 6 (19 enodes) 1540197016.724 * * [misc]simplify: iters left: 5 (33 enodes) 1540197016.730 * * [misc]simplify: iters left: 4 (68 enodes) 1540197016.744 * * [misc]simplify: iters left: 3 (203 enodes) 1540197016.821 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540197016.821 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197016.821 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197016.821 * * [misc]simplify: iters left: 6 (19 enodes) 1540197016.824 * * [misc]simplify: iters left: 5 (28 enodes) 1540197016.828 * * [misc]simplify: iters left: 4 (46 enodes) 1540197016.835 * * [misc]simplify: iters left: 3 (91 enodes) 1540197016.852 * * [misc]simplify: iters left: 2 (156 enodes) 1540197016.886 * * [misc]simplify: iters left: 1 (239 enodes) 1540197016.944 * [exit]simplify: Simplified to (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540197016.944 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow 2 (/ (- k) 2)) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540197016.945 * * * * [misc]progress: [ 1813 / 6870 ] simplifiying candidate # 1540197016.945 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197016.945 * * [misc]simplify: iters left: 6 (21 enodes) 1540197016.948 * * [misc]simplify: iters left: 5 (38 enodes) 1540197016.954 * * [misc]simplify: iters left: 4 (93 enodes) 1540197016.975 * * [misc]simplify: iters left: 3 (308 enodes) 1540197017.222 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197017.222 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197017.222 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197017.222 * * [misc]simplify: iters left: 6 (20 enodes) 1540197017.227 * * [misc]simplify: iters left: 5 (29 enodes) 1540197017.233 * * [misc]simplify: iters left: 4 (47 enodes) 1540197017.245 * * [misc]simplify: iters left: 3 (92 enodes) 1540197017.270 * * [misc]simplify: iters left: 2 (157 enodes) 1540197017.325 * * [misc]simplify: iters left: 1 (236 enodes) 1540197017.416 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540197017.416 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540197017.416 * * * * [misc]progress: [ 1814 / 6870 ] simplifiying candidate # 1540197017.417 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197017.417 * * [misc]simplify: iters left: 6 (20 enodes) 1540197017.421 * * [misc]simplify: iters left: 5 (33 enodes) 1540197017.429 * * [misc]simplify: iters left: 4 (68 enodes) 1540197017.451 * * [misc]simplify: iters left: 3 (203 enodes) 1540197017.573 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (pow (cbrt (sqrt (sqrt k))) 3) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540197017.573 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (pow (cbrt (sqrt (sqrt k))) 3) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197017.573 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197017.574 * * [misc]simplify: iters left: 6 (20 enodes) 1540197017.578 * * [misc]simplify: iters left: 5 (29 enodes) 1540197017.587 * * [misc]simplify: iters left: 4 (47 enodes) 1540197017.599 * * [misc]simplify: iters left: 3 (92 enodes) 1540197017.625 * * [misc]simplify: iters left: 2 (157 enodes) 1540197017.678 * * [misc]simplify: iters left: 1 (236 enodes) 1540197017.769 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540197017.769 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2))))) (/ (pow (cbrt (sqrt (sqrt k))) 3) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540197017.769 * * * * [misc]progress: [ 1815 / 6870 ] simplifiying candidate # 1540197017.770 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) 1540197017.770 * * [misc]simplify: iters left: 6 (19 enodes) 1540197017.774 * * [misc]simplify: iters left: 5 (34 enodes) 1540197017.783 * * [misc]simplify: iters left: 4 (73 enodes) 1540197017.807 * * [misc]simplify: iters left: 3 (194 enodes) 1540197017.968 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540197017.968 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540197017.969 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540197017.969 * * [misc]simplify: iters left: 6 (19 enodes) 1540197017.973 * * [misc]simplify: iters left: 5 (28 enodes) 1540197017.980 * * [misc]simplify: iters left: 4 (46 enodes) 1540197017.991 * * [misc]simplify: iters left: 3 (91 enodes) 1540197018.021 * * [misc]simplify: iters left: 2 (156 enodes) 1540197018.075 * * [misc]simplify: iters left: 1 (239 enodes) 1540197018.148 * [exit]simplify: Simplified to (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540197018.148 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt PI)) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540197018.148 * * * * [misc]progress: [ 1816 / 6870 ] simplifiying candidate # 1540197018.148 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540197018.149 * * [misc]simplify: iters left: 6 (22 enodes) 1540197018.153 * * [misc]simplify: iters left: 5 (35 enodes) 1540197018.158 * * [misc]simplify: iters left: 4 (62 enodes) 1540197018.169 * * [misc]simplify: iters left: 3 (143 enodes) 1540197018.205 * * [misc]simplify: iters left: 2 (361 enodes) 1540197018.356 * [exit]simplify: Simplified to (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) 1540197018.356 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197018.357 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197018.357 * * [misc]simplify: iters left: 6 (21 enodes) 1540197018.360 * * [misc]simplify: iters left: 5 (30 enodes) 1540197018.364 * * [misc]simplify: iters left: 4 (49 enodes) 1540197018.371 * * [misc]simplify: iters left: 3 (97 enodes) 1540197018.388 * * [misc]simplify: iters left: 2 (184 enodes) 1540197018.430 * * [misc]simplify: iters left: 1 (323 enodes) 1540197018.538 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540197018.538 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540197018.538 * * * * [misc]progress: [ 1817 / 6870 ] simplifiying candidate # 1540197018.538 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow 2 1/2))) 1540197018.538 * * [misc]simplify: iters left: 6 (22 enodes) 1540197018.542 * * [misc]simplify: iters left: 5 (35 enodes) 1540197018.547 * * [misc]simplify: iters left: 4 (62 enodes) 1540197018.558 * * [misc]simplify: iters left: 3 (143 enodes) 1540197018.593 * * [misc]simplify: iters left: 2 (361 enodes) 1540197018.744 * [exit]simplify: Simplified to (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) 1540197018.744 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197018.744 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197018.744 * * [misc]simplify: iters left: 6 (21 enodes) 1540197018.747 * * [misc]simplify: iters left: 5 (30 enodes) 1540197018.751 * * [misc]simplify: iters left: 4 (49 enodes) 1540197018.759 * * [misc]simplify: iters left: 3 (97 enodes) 1540197018.776 * * [misc]simplify: iters left: 2 (184 enodes) 1540197018.818 * * [misc]simplify: iters left: 1 (323 enodes) 1540197018.927 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) 1540197018.928 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (fabs (cbrt (sqrt k))) (sqrt 2)))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1540197018.928 * * * * [misc]progress: [ 1818 / 6870 ] simplifiying candidate # 1540197018.928 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197018.928 * * [misc]simplify: iters left: 6 (24 enodes) 1540197018.931 * * [misc]simplify: iters left: 5 (38 enodes) 1540197018.937 * * [misc]simplify: iters left: 4 (71 enodes) 1540197018.949 * * [misc]simplify: iters left: 3 (188 enodes) 1540197019.021 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197019.021 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197019.021 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197019.021 * * [misc]simplify: iters left: 6 (22 enodes) 1540197019.024 * * [misc]simplify: iters left: 5 (31 enodes) 1540197019.029 * * [misc]simplify: iters left: 4 (50 enodes) 1540197019.038 * * [misc]simplify: iters left: 3 (98 enodes) 1540197019.056 * * [misc]simplify: iters left: 2 (185 enodes) 1540197019.096 * * [misc]simplify: iters left: 1 (321 enodes) 1540197019.200 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197019.200 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (fabs (cbrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197019.201 * * * * [misc]progress: [ 1819 / 6870 ] simplifiying candidate # 1540197019.201 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197019.201 * * [misc]simplify: iters left: 6 (23 enodes) 1540197019.204 * * [misc]simplify: iters left: 5 (35 enodes) 1540197019.209 * * [misc]simplify: iters left: 4 (62 enodes) 1540197019.219 * * [misc]simplify: iters left: 3 (143 enodes) 1540197019.255 * * [misc]simplify: iters left: 2 (359 enodes) 1540197019.406 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540197019.407 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197019.407 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197019.407 * * [misc]simplify: iters left: 6 (22 enodes) 1540197019.410 * * [misc]simplify: iters left: 5 (31 enodes) 1540197019.414 * * [misc]simplify: iters left: 4 (50 enodes) 1540197019.422 * * [misc]simplify: iters left: 3 (98 enodes) 1540197019.439 * * [misc]simplify: iters left: 2 (185 enodes) 1540197019.480 * * [misc]simplify: iters left: 1 (321 enodes) 1540197019.585 * [exit]simplify: Simplified to (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197019.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (fabs (cbrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (pow PI (/ (- k) 2)) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197019.585 * * * * [misc]progress: [ 1820 / 6870 ] simplifiying candidate # 1540197019.586 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) 1540197019.586 * * [misc]simplify: iters left: 6 (22 enodes) 1540197019.589 * * [misc]simplify: iters left: 5 (35 enodes) 1540197019.594 * * [misc]simplify: iters left: 4 (59 enodes) 1540197019.603 * * [misc]simplify: iters left: 3 (122 enodes) 1540197019.635 * * [misc]simplify: iters left: 2 (384 enodes) 1540197019.866 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540197019.866 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540197019.866 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540197019.866 * * [misc]simplify: iters left: 6 (21 enodes) 1540197019.869 * * [misc]simplify: iters left: 5 (30 enodes) 1540197019.873 * * [misc]simplify: iters left: 4 (49 enodes) 1540197019.880 * * [misc]simplify: iters left: 3 (97 enodes) 1540197019.900 * * [misc]simplify: iters left: 2 (184 enodes) 1540197019.941 * * [misc]simplify: iters left: 1 (323 enodes) 1540197020.049 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540197020.049 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt (sqrt k)))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540197020.049 * * * * [misc]progress: [ 1821 / 6870 ] simplifiying candidate # 1540197020.049 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540197020.049 * * [misc]simplify: iters left: 6 (20 enodes) 1540197020.053 * * [misc]simplify: iters left: 5 (32 enodes) 1540197020.058 * * [misc]simplify: iters left: 4 (59 enodes) 1540197020.068 * * [misc]simplify: iters left: 3 (140 enodes) 1540197020.104 * * [misc]simplify: iters left: 2 (356 enodes) 1540197020.255 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540197020.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197020.255 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197020.255 * * [misc]simplify: iters left: 6 (20 enodes) 1540197020.258 * * [misc]simplify: iters left: 5 (29 enodes) 1540197020.262 * * [misc]simplify: iters left: 4 (48 enodes) 1540197020.269 * * [misc]simplify: iters left: 3 (96 enodes) 1540197020.287 * * [misc]simplify: iters left: 2 (183 enodes) 1540197020.328 * * [misc]simplify: iters left: 1 (324 enodes) 1540197020.441 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540197020.441 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540197020.441 * * * * [misc]progress: [ 1822 / 6870 ] simplifiying candidate # 1540197020.441 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540197020.442 * * [misc]simplify: iters left: 6 (20 enodes) 1540197020.445 * * [misc]simplify: iters left: 5 (32 enodes) 1540197020.450 * * [misc]simplify: iters left: 4 (59 enodes) 1540197020.460 * * [misc]simplify: iters left: 3 (140 enodes) 1540197020.495 * * [misc]simplify: iters left: 2 (356 enodes) 1540197020.644 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540197020.644 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197020.644 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197020.644 * * [misc]simplify: iters left: 6 (20 enodes) 1540197020.647 * * [misc]simplify: iters left: 5 (29 enodes) 1540197020.651 * * [misc]simplify: iters left: 4 (48 enodes) 1540197020.658 * * [misc]simplify: iters left: 3 (96 enodes) 1540197020.675 * * [misc]simplify: iters left: 2 (183 enodes) 1540197020.718 * * [misc]simplify: iters left: 1 (324 enodes) 1540197020.831 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540197020.831 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540197020.831 * * * * [misc]progress: [ 1823 / 6870 ] simplifiying candidate # 1540197020.831 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197020.832 * * [misc]simplify: iters left: 6 (22 enodes) 1540197020.835 * * [misc]simplify: iters left: 5 (35 enodes) 1540197020.840 * * [misc]simplify: iters left: 4 (68 enodes) 1540197020.853 * * [misc]simplify: iters left: 3 (185 enodes) 1540197020.922 * [exit]simplify: Simplified to (* (/ (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197020.922 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197020.923 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197020.923 * * [misc]simplify: iters left: 6 (21 enodes) 1540197020.926 * * [misc]simplify: iters left: 5 (30 enodes) 1540197020.931 * * [misc]simplify: iters left: 4 (49 enodes) 1540197020.939 * * [misc]simplify: iters left: 3 (97 enodes) 1540197020.956 * * [misc]simplify: iters left: 2 (184 enodes) 1540197020.997 * * [misc]simplify: iters left: 1 (323 enodes) 1540197021.104 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197021.104 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197021.104 * * * * [misc]progress: [ 1824 / 6870 ] simplifiying candidate # 1540197021.104 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197021.104 * * [misc]simplify: iters left: 6 (21 enodes) 1540197021.107 * * [misc]simplify: iters left: 5 (32 enodes) 1540197021.112 * * [misc]simplify: iters left: 4 (59 enodes) 1540197021.123 * * [misc]simplify: iters left: 3 (140 enodes) 1540197021.157 * * [misc]simplify: iters left: 2 (361 enodes) 1540197021.303 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197021.303 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197021.304 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197021.304 * * [misc]simplify: iters left: 6 (21 enodes) 1540197021.307 * * [misc]simplify: iters left: 5 (30 enodes) 1540197021.311 * * [misc]simplify: iters left: 4 (49 enodes) 1540197021.318 * * [misc]simplify: iters left: 3 (97 enodes) 1540197021.335 * * [misc]simplify: iters left: 2 (184 enodes) 1540197021.377 * * [misc]simplify: iters left: 1 (323 enodes) 1540197021.485 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197021.485 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197021.485 * * * * [misc]progress: [ 1825 / 6870 ] simplifiying candidate # 1540197021.485 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540197021.486 * * [misc]simplify: iters left: 6 (20 enodes) 1540197021.488 * * [misc]simplify: iters left: 5 (33 enodes) 1540197021.494 * * [misc]simplify: iters left: 4 (62 enodes) 1540197021.504 * * [misc]simplify: iters left: 3 (111 enodes) 1540197021.525 * * [misc]simplify: iters left: 2 (298 enodes) 1540197021.674 * [exit]simplify: Simplified to (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) 1540197021.674 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))))) 1540197021.674 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) 1540197021.674 * * [misc]simplify: iters left: 6 (20 enodes) 1540197021.677 * * [misc]simplify: iters left: 5 (29 enodes) 1540197021.681 * * [misc]simplify: iters left: 4 (48 enodes) 1540197021.688 * * [misc]simplify: iters left: 3 (96 enodes) 1540197021.706 * * [misc]simplify: iters left: 2 (183 enodes) 1540197021.748 * * [misc]simplify: iters left: 1 (324 enodes) 1540197021.861 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540197021.862 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540197021.862 * * * * [misc]progress: [ 1826 / 6870 ] simplifiying candidate # 1540197021.862 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540197021.862 * * [misc]simplify: iters left: 6 (21 enodes) 1540197021.866 * * [misc]simplify: iters left: 5 (35 enodes) 1540197021.871 * * [misc]simplify: iters left: 4 (64 enodes) 1540197021.883 * * [misc]simplify: iters left: 3 (175 enodes) 1540197021.944 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540197021.944 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540197021.944 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540197021.944 * * [misc]simplify: iters left: 6 (19 enodes) 1540197021.947 * * [misc]simplify: iters left: 5 (28 enodes) 1540197021.951 * * [misc]simplify: iters left: 4 (47 enodes) 1540197021.958 * * [misc]simplify: iters left: 3 (95 enodes) 1540197021.976 * * [misc]simplify: iters left: 2 (182 enodes) 1540197022.018 * * [misc]simplify: iters left: 1 (319 enodes) 1540197022.126 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540197022.126 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540197022.126 * * * * [misc]progress: [ 1827 / 6870 ] simplifiying candidate # 1540197022.126 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (pow 2 1/2))) 1540197022.126 * * [misc]simplify: iters left: 6 (21 enodes) 1540197022.130 * * [misc]simplify: iters left: 5 (35 enodes) 1540197022.136 * * [misc]simplify: iters left: 4 (64 enodes) 1540197022.148 * * [misc]simplify: iters left: 3 (175 enodes) 1540197022.209 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540197022.209 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))))) 1540197022.210 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2))))) 1540197022.211 * * [misc]simplify: iters left: 6 (19 enodes) 1540197022.213 * * [misc]simplify: iters left: 5 (28 enodes) 1540197022.217 * * [misc]simplify: iters left: 4 (47 enodes) 1540197022.224 * * [misc]simplify: iters left: 3 (95 enodes) 1540197022.243 * * [misc]simplify: iters left: 2 (182 enodes) 1540197022.284 * * [misc]simplify: iters left: 1 (319 enodes) 1540197022.392 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))) 1540197022.392 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (pow n (- 1/2 (/ k 2))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))))))) 1540197022.392 * * * * [misc]progress: [ 1828 / 6870 ] simplifiying candidate # 1540197022.392 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197022.392 * * [misc]simplify: iters left: 6 (23 enodes) 1540197022.396 * * [misc]simplify: iters left: 5 (38 enodes) 1540197022.401 * * [misc]simplify: iters left: 4 (74 enodes) 1540197022.416 * * [misc]simplify: iters left: 3 (230 enodes) 1540197022.513 * [exit]simplify: Simplified to (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) 1540197022.514 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197022.514 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197022.514 * * [misc]simplify: iters left: 6 (20 enodes) 1540197022.517 * * [misc]simplify: iters left: 5 (29 enodes) 1540197022.521 * * [misc]simplify: iters left: 4 (48 enodes) 1540197022.528 * * [misc]simplify: iters left: 3 (96 enodes) 1540197022.547 * * [misc]simplify: iters left: 2 (183 enodes) 1540197022.588 * * [misc]simplify: iters left: 1 (326 enodes) 1540197022.698 * [exit]simplify: Simplified to (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540197022.698 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))) (/ (* (sqrt PI) (cbrt (pow 2 (- 1/2 (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540197022.698 * * * * [misc]progress: [ 1829 / 6870 ] simplifiying candidate # 1540197022.699 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197022.699 * * [misc]simplify: iters left: 6 (22 enodes) 1540197022.702 * * [misc]simplify: iters left: 5 (35 enodes) 1540197022.707 * * [misc]simplify: iters left: 4 (64 enodes) 1540197022.719 * * [misc]simplify: iters left: 3 (175 enodes) 1540197022.778 * [exit]simplify: Simplified to (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) 1540197022.778 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197022.778 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197022.778 * * [misc]simplify: iters left: 6 (20 enodes) 1540197022.781 * * [misc]simplify: iters left: 5 (29 enodes) 1540197022.785 * * [misc]simplify: iters left: 4 (48 enodes) 1540197022.792 * * [misc]simplify: iters left: 3 (96 enodes) 1540197022.811 * * [misc]simplify: iters left: 2 (183 enodes) 1540197022.852 * * [misc]simplify: iters left: 1 (326 enodes) 1540197022.962 * [exit]simplify: Simplified to (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) 1540197022.962 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k))))) (/ (* (sqrt (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))))) 1540197022.963 * * * * [misc]progress: [ 1830 / 6870 ] simplifiying candidate # 1540197022.963 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt 1) 1)) 1540197022.963 * * [misc]simplify: iters left: 6 (20 enodes) 1540197022.967 * * [misc]simplify: iters left: 5 (33 enodes) 1540197022.971 * * [misc]simplify: iters left: 4 (50 enodes) 1540197022.979 * * [misc]simplify: iters left: 3 (91 enodes) 1540197022.997 * * [misc]simplify: iters left: 2 (204 enodes) 1540197023.097 * [exit]simplify: Simplified to (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) 1540197023.097 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1540197023.097 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1540197023.097 * * [misc]simplify: iters left: 6 (19 enodes) 1540197023.100 * * [misc]simplify: iters left: 5 (28 enodes) 1540197023.104 * * [misc]simplify: iters left: 4 (47 enodes) 1540197023.112 * * [misc]simplify: iters left: 3 (95 enodes) 1540197023.130 * * [misc]simplify: iters left: 2 (182 enodes) 1540197023.171 * * [misc]simplify: iters left: 1 (319 enodes) 1540197023.278 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))) 1540197023.278 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow n (- 1/2 (/ k 2)))) (cbrt (sqrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (- 1/2 (/ k 2)))))))) 1540197023.278 * * * * [misc]progress: [ 1831 / 6870 ] simplifiying candidate # 1540197023.279 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540197023.279 * * [misc]simplify: iters left: 6 (20 enodes) 1540197023.282 * * [misc]simplify: iters left: 5 (32 enodes) 1540197023.287 * * [misc]simplify: iters left: 4 (59 enodes) 1540197023.299 * * [misc]simplify: iters left: 3 (140 enodes) 1540197023.334 * * [misc]simplify: iters left: 2 (356 enodes) 1540197023.482 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540197023.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197023.483 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197023.483 * * [misc]simplify: iters left: 6 (20 enodes) 1540197023.486 * * [misc]simplify: iters left: 5 (29 enodes) 1540197023.490 * * [misc]simplify: iters left: 4 (48 enodes) 1540197023.497 * * [misc]simplify: iters left: 3 (96 enodes) 1540197023.514 * * [misc]simplify: iters left: 2 (183 enodes) 1540197023.557 * * [misc]simplify: iters left: 1 (324 enodes) 1540197023.670 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540197023.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540197023.670 * * * * [misc]progress: [ 1832 / 6870 ] simplifiying candidate # 1540197023.670 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 1/2))) 1540197023.670 * * [misc]simplify: iters left: 6 (20 enodes) 1540197023.674 * * [misc]simplify: iters left: 5 (32 enodes) 1540197023.679 * * [misc]simplify: iters left: 4 (59 enodes) 1540197023.689 * * [misc]simplify: iters left: 3 (140 enodes) 1540197023.726 * * [misc]simplify: iters left: 2 (356 enodes) 1540197023.873 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) 1540197023.873 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))))) 1540197023.873 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2))))) 1540197023.873 * * [misc]simplify: iters left: 6 (20 enodes) 1540197023.876 * * [misc]simplify: iters left: 5 (29 enodes) 1540197023.880 * * [misc]simplify: iters left: 4 (48 enodes) 1540197023.888 * * [misc]simplify: iters left: 3 (96 enodes) 1540197023.907 * * [misc]simplify: iters left: 2 (183 enodes) 1540197023.948 * * [misc]simplify: iters left: 1 (324 enodes) 1540197024.060 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))) 1540197024.060 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (cbrt (sqrt (sqrt k))))) (* (/ (pow PI (/ (- k) 2)) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))) (/ (sqrt (pow n (- 1/2 (/ k 2)))) (sqrt (sqrt (sqrt k))))))) 1540197024.060 * * * * [misc]progress: [ 1833 / 6870 ] simplifiying candidate # 1540197024.061 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2))))))) 1540197024.061 * * [misc]simplify: iters left: 6 (22 enodes) 1540197024.064 * * [misc]simplify: iters left: 5 (35 enodes) 1540197024.069 * * [misc]simplify: iters left: 4 (68 enodes) 1540197024.082 * * [misc]simplify: iters left: 3 (185 enodes) 1540197024.153 * [exit]simplify: Simplified to (* (/ (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197024.153 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197024.153 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197024.153 * * [misc]simplify: iters left: 6 (21 enodes) 1540197024.156 * * [misc]simplify: iters left: 5 (30 enodes) 1540197024.160 * * [misc]simplify: iters left: 4 (49 enodes) 1540197024.167 * * [misc]simplify: iters left: 3 (97 enodes) 1540197024.185 * * [misc]simplify: iters left: 2 (184 enodes) 1540197024.226 * * [misc]simplify: iters left: 1 (323 enodes) 1540197024.333 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) 1540197024.333 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (/ (sqrt PI) (sqrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (* (cbrt (pow 2 (- 1/2 (/ k 2)))) (cbrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197024.333 * * * * [misc]progress: [ 1834 / 6870 ] simplifiying candidate # 1540197024.333 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197024.333 * * [misc]simplify: iters left: 6 (21 enodes) 1540197024.337 * * [misc]simplify: iters left: 5 (32 enodes) 1540197024.342 * * [misc]simplify: iters left: 4 (59 enodes) 1540197024.351 * * [misc]simplify: iters left: 3 (140 enodes) 1540197024.385 * * [misc]simplify: iters left: 2 (361 enodes) 1540197024.532 * [exit]simplify: Simplified to (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197024.532 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197024.533 * [enter]simplify: Simplifying (/ (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197024.533 * * [misc]simplify: iters left: 6 (21 enodes) 1540197024.536 * * [misc]simplify: iters left: 5 (30 enodes) 1540197024.540 * * [misc]simplify: iters left: 4 (49 enodes) 1540197024.547 * * [misc]simplify: iters left: 3 (97 enodes) 1540197024.565 * * [misc]simplify: iters left: 2 (184 enodes) 1540197024.607 * * [misc]simplify: iters left: 1 (323 enodes) 1540197024.715 * [exit]simplify: Simplified to (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) 1540197024.715 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow n (- 1/2 (/ k 2)))) (/ (sqrt PI) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (sqrt (pow 2 (- 1/2 (/ k 2)))))) (/ (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow 2 (- 1/2 (/ k 2)))))))) 1540197024.715 * * * * [misc]progress: [ 1835 / 6870 ] simplifiying candidate # 1540197024.715 * [enter]simplify: Simplifying (/ (/ (pow PI 1/2) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow n (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) 1)) 1540197024.715 * * [misc]simplify: iters left: 6 (20 enodes) 1540197024.718 * * [misc]simplify: iters left: 5 (33 enodes) 1540197024.723 * * [misc]simplify: iters left: 4 (62 enodes) 1540197024.733 * * [misc]simplify: iters left: 3 (111 enodes) 1540197024.754 * * [misc]simplify: iters left: 2 (298 enodes)